The equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2 is y = 3x - 5.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form, point slope form, standard form and general form.
Linear equation in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line that passes through the point (3,4) and is parallel to the line represented by y = 3x −2.
parallel lines have the same slope.
Therefore, the slope of the line is 3.
The y-intercept can be found as follows:
using (3, 4)
y = 3x + b
4 = 3(3) + b
b = 4 - 9
b = -5
Therefore, the equation in slope intercept form is y = 3x - 5.
learn more on equation here: https://brainly.com/question/11728562
#SPJ1
tree with root vertex d that has a left edge to f, a center edge to b, and a right edge to a. b has a left edge to i, a center edge to h, and a right edge to e. a has a center edge to c. c has a center edge to g. (a) give the order in which the vertices of the tree are visited in a post-order traversal. (b) give the order in which the vertices of the tree are visited in a pre-order traversal.
Answer:
post-order: f, i, h, e, b, g, c, a, dpre-order: d, f, b, i, h, e, a, c, gStep-by-step explanation:
You want the (a) post-order, and (b) pre-order list of visited vertices in a traversal of the tree described by {root, left, center, right}: {d, f, {b, i, h, e}, {a, {c, g}}}.
(a) Post-orderA tree is traversed in post-order by visiting the left branch, center branch, and right branch before the root. This is accomplished recursively.
For the given tree, the root 'd' has left branch 'f' which has no branches. That means node 'f' is reported first.
The middle branch goes to 'b' which has three branches. Those are reported before their root 'b'.
The right branch from root 'd' goes to 'a', which has branch 'c' going to 'g'. So, 'g' is reported, then 'c', then 'a'.
Finally, 'd' is reported.
Hence, the post-order traversal is f, i, h, e, b, g, c, a, d.
(b) Pre-orderThe pre-order traversal reports the root node, then the left, center, and right nodes, recursively. The vertices are effectively visited in the order in which we have defined the tree above: d, f, b, i, h, e, a, c, g.
I have a hard time with these questions. Make sure your answer is rounded to nearest hundredth. Explain. Thank you in advance
(a) The printer will print 3.5 pages per minute.
(b) It will plant 0.13 acres of seed per pound.
What is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.
(a) If a color printer prints 14 pages in 4 minutes.
So it will print = 14/4
= 3.5 pages per minute
(b) If it takes 23 pounds of seed to completely plant a 3 - acre field
So it can plant = 3/23
= 0.13 acres per pound.
Hence,
(a) The printer will print 3.5 pages per minute.
(b) It will plant 0.13 acres of seed per pound.
To learn more about unit rates, visit:
https://brainly.com/question/4895463
#SPJ1
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
255,250,245,...
Find the 40th term.
Answer:
there is no solution to the equation
when the ___ calculates an increasing ___ ; the ___ may choose to decrease .
The answer that correctly fills the missing portions is option A.
The full sentence is: When the Bureau of Labor Statistics (BLS) calculates an increasing Consumer Price Index (CPI); the Federal Reserve (FED) may choose to Quantitative Easing.
Quantitative easing is a monetary policy operation in which a central bank buys government bonds or other financial assets to infuse monetary reserves into the economy in order to encourage economic activity.
The goal of QE is to level the playing field in order to make spending and investing money more enticing and accessible to people. Lower interest rates may improve the possibility that company and civilian borrowers will borrow to make purchases, promoting economic activity.
Learn more about Quantitative Easing:
https://brainly.com/question/29620668
#SPJ1
Full Question:
When the ___ calculates an increasing ___ ; the ___ may choose to decrease______.
A) BLS, CPI. FED, QE
B) OECD, QE, BLS, CPI
C) BEA, GDP, BLS, CPI
D) BEA, CPI, OECD, GDP
What is the classification of each system? Drag the answers into the boxes to match each system. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. {4x+y=8 x+3y=8 consistent independent
The given system of equations has a solution (16/11, 24/11), so they are consistent and independent.
The given system of equations are 4x+y=8 and x+3y=8.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here, 4x+y=8 ----------(I) and x+3y=8 ----------(II)
Multiply equation (I) by 3, we get
12x+3y=24 ----------(III)
Now, subtract equation (II) from (III), we get
12x+3y-(x+3y)=24-8
11x=16
⇒ x=16/11
Substitute x=16/11 in equation (II), we get
16/11 +3y=8
⇒ 3y=8- 16/11
⇒ 3y=72/11
⇒ y=24/11
If equation as one solution, then they are consistent and independent.
Therefore, the given system of equations has a solution (16/11, 24/11), so they are consistent and independent.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
Estimate a 10 % tip on a bill of $159.67 by first rounding the bill amount to the nearest ten dollars.
Answer: $180
Step-by-step explanation: To calculate the total tip, you would add 10% to the bill,
Total bill = $159.67 x 1.10+ 175.637 or $175.64
$175.64 rounded to the nearest $10 dollars is $180 as the number in the 1s column is greater than 5. Because of this, you round up to get the nearest $10.
Total bill equals $180
Which property is shown in the matrix addition below?
-6
9
15 -2
0
-3
+
6
-9
-15 2
0
3
commutative property
associative property
Oinverse property
Oidentity property
0 0 0
0 0 0
For the given matrix the additive inverse property is shown.
What is additive inverse of matrix?
The matrix that is created by changing the sign of each matrix element is known as the additive inverse. -(-A)=A is the notation for the additive inverse of the matrix A.
Rows and columns serve as a measure of a matrix's dimensions. Given that it has three rows and three columns, for instance, the matrix below has a dimension of 3 x 3. Three by three can be read off as the matrix's dimension. We consequently obtain the additive inverse of the matrix
M = - M.
Consider the given matrix,
[tex]\left[\begin{array}{ccc}-6&15&-2\\9&0&-3\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\\-9&0&3\end{array}\right] = \left[\begin{array}{ccc}0&0&0\\0&0&0\end{array}\right][/tex]
Here each element in first matrix is negative of the element of second matrix.
That is each element is inverse of the element in second matrix.
And the addition of elements is 0.
Hence, for the given matrix the additive inverse property is shown.
To know more about additive inverse of matrix, click on the link
https://brainly.com/question/29537608
#SPJ1
The price of a share of stock changed by -$19.20
over a 5-day period. What was the average daily
change in the price of a share of the stock?
Answer:3.9
Step-by-step explanation:
Divide -19.50 by 5
=3.9
Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $382 for a total
account balance of $793. The next morning, his wife wrote a check for $1,233.34 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?
Answer: Based on the information you provided, it seems that the McQuires had a total of $793 in their account on Friday, and their wife wrote a check for $1,233.34 the next day. If this check cleared the bank, their account balance would be $793 - $1,233.34 = -$440.34.
Sales Tax in Cities
City A 3%
City B 4.1%
City C 2.9%
City D 3.2%
2. How much will Tom's $30 sweater cost in
City B?
A $30.90
B $31.23
C $30.87
Answer: C
Step-by-step explanation:
30 x 1.029
30.87
P=a+3b+4c solve for a
the answer is
a=p-3b-4c
What is the mass of an object that
weighs -68.6 N?
Answer:
7 kg
Step-by-step explanation:
Newton's second law tells us that Force = Mass * Acceleration, also known as F = ma.
The downward acceleration due to gravity on Earth is usually taken to be 9.8 ms^-1.
Substitute the values into the equation:
68.6 = m * 9.8
Rearrange and simplify:
m = 68.6 / 9.8
m = 7 kg
Mr. Hansen has three sticks that measure 5 inches, 10 inches and 17 inches. If he connects the sticks ends, will the three sticks form a triangle?
write the following phrase as a variable
expression. Use x to represent "a number"
negative six subtracted from three times.
number
a
The phrase can be expressed as 3x-6, 3(x-2), x+2x-2-4, 4x-x+4-10 and x+x+x-2-2-2 and so on
What is mathematical phrase?It consists of several mathematical symbols organized in such a way that it can express mathematical concept.
How can we write mathematical phrase in various form?Mathematical phrase can be written in one or more different pattern to show the same expression.
As per question given, the phrase is expressed by
3x-6, where x is used to represent a number
the phrase can be written in 3(x-2)
other variable expressions of same phrase are x+2x-2-4
or 4x-x+4-10 or x+x+x-2-2-2
hence, a phrase can be written in one or more pattern to show same expression.
to read more about mathematical phrase visit:
https://brainly.com/question/11747469
#SPJ1
Which of the following equations has an axis of symmetry with the equation x = 3?
y=x² + 6x-3
y= 2x² + 6x-3
y=x² - 6x +3
y=3x² + 6x-3
The equation which has an axis of symmetry with the equation x = 3 as required in the task content is; y = x² - 6x +3.
Which equation among the given answer choices has an axis of symmetry; x = 3?It follows from the task content that the equation which has an axis of symmetry; x = 3 be determined among the answer choices.
By expressing the equation; y = x² - 6x +3 in vertex form; y = ( x - h )² + k; where the axis of symmetry is given by; x = h; we have that;
y = ( x - 3 )² - 6
On this note, it can be concluded that the axis of symmetry of the considered equation; y = x² - 6x +3 is; x = 3.
Read more on axis of symmetry;
https://brainly.com/question/21191648
#SPJ1
URGENT!
Translate the sentence into an equation.
The sum of 2 times a number and 3 is 9.
Use the variable x for the unknown number.
The equation is 2x+3=9, x is the unknown number. After solving the equation, we get x=3.
What is equation?A mathematical expression shows the equality between two terms.
How can we find unknown value from an equation?In mathematics variables are used to denote any unknown number and equations are developed based on an expression. Finally, equations are solved, and unknown values are determined.
let, x is the unknown number. As per question the equation will be 2x+3=9
the equation is solved, and x is determined
2x=9-3
x=6/2
x=3
hence, x=3, 3 is the number.
to learn more about equations visit:
https://brainly.com/question/28825586
#SPJ1
Answer:
[tex] \sf \: 2x + 3 = 9, \: x = 3[/tex]
Step-by-step explanation:
Given statement,
→ Sum of 2 times a number & 3 is 9.
Let the unknown number be,
→ [tex] \sf \pink{x}[/tex]
Forming the equation,
→ (2 × x) + 3 = 9
→ 2x + 3 = 9
Now the value of x will be,
→ 2x + 3 = 9
→ 2x = 9 - 3
→ 2x = 6
→ x = 6/2
→ [ x = 3 ]
Hence, the value of x is 3.
7. Petal and Leaf florists currently have 30
roses, 36 carnations, and 54 tulips. How
many equal-sized bouquets can be made
using all of the flowers if the florists make
sure that each bouquet has the same
number of each type of flower?
The number of banquets that can be formed is 6 and total number of flowers are 2+3=5.
What is the greatest common divisor?
the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, and y.
We have given,
Petal and Leaf florists currently have 30 roses, 36 carnations, and 54 tulips
Since it is given that there are 75 rose and 45 lily flowers. Therefore,
Factorise 30 as follows:
30 = 2 × 3 × 5
Factorise 36 as follows:
36 = 2 × 2 × 3 × 3
Factorise 54 as follows:
54 = 2 × 3 × 3 × 3
We know that HCF is the highest common factor.
Since the common factor between the numbers 30, 36, and 54 is 2×3=6.
Hence, the number of banquets that can be formed is 6 and total number of flowers are 2+3=5.
To learn more about the greatest common divisor visit,
https://brainly.com/question/21504246
#SPJ1
Write the explicit and recursive rules for a geometric sequence given a table of values.
(a) The Explicit Rule for f(n) is 0.1 × 3n The Recursive Rule for f(n) is f(n-1) × 3. (b) The Explicit Rule for f(n) is 100 × 0.1ⁿ The Recursive Rule for f(n) is f(n-1) × 0.1
What is Explicit rule ?The explicit rule states that the value of the sequence at each term is 0.1 multiplied by 3 raised to the power of n. The recursive rule states that the value of the sequence at each term is equal to the value of the preceding term multiplied by 3. This can be seen in the table of values where each value is 3 times the preceding value.
Given,
n = 0,1,2,3,4…
f(n) = 0.1,0.3, 0.9, 2.7, 8.1
(b) The Explicit Rule for f(n) is 100 × 0.1ⁿ, The Recursive Rule for f(n) is f(n-1) x 0.1
Given,
n= 0,1,2,3,4..
f(n) = 100, 10, 1,0.1, 0.01
The explicit formula is the formula to calculate the value of the sequence directly without using any previous terms. The recursive formula uses the previous term to calculate the value of the current term.
In this example, the explicit formula is 100 × 0.1ⁿ and the recursive formula is f(n) = f(n-1) × 0.1. This means that each term in the sequence is equal to the previous term multiplied by 0.1.
For example, the third term in the sequence is 1, so the fourth term is 1 × 0.1 = 0.1.
(c) The Explicit rule for f(n) is 1000 × 0.1⁽ⁿ ⁻ ¹⁾, The Recursive rule for f(n) is f(n-1) x 0.1
To solve,
f(5) = 1000 × 0.1⁽⁵ ⁻ ¹⁾(5-1)
= 1000 × 0.1⁴
= 1000 × 0.0001
= 0.1
Given,
n= 1,2,3,4,5…
f(n) = 1000, 100, 10, 1, 0.1
The explicit and recursive rules for this geometric sequence are both written as f(n) = 1000 × 0.1⁽ⁿ ⁻ ¹⁾. This means that the value of the sequence at any given point n will be equal to 1000 multiplied by 0.1 raised to the power of n-1. This means that the value of the sequence decreases by a factor of 0.1 for every increase in n.
In this case,
f(5) = 1000 x [tex]0.1^4[/tex]
= 0.1.
(d) The Explicit Rule for this geometric sequence is f(n) = 10⁽⁵⁰ ⁻ ³ⁿ⁾, where n is the term number of the sequence.
The Recursive Rule for this geometric sequence is f(n) = f(n-1) ÷ 10³, where f(n) is the value for the nth term of the sequence and f(n-1) is the value for the (n-1)th term of the sequence.
Given,
n= 1,2,3,4,5..
f(n) = 10⁵⁰,10⁴⁷, 10⁴⁴, 10⁴¹, 10³⁸….
The value for the 5th term of the sequence is f(5) = 10⁽⁵⁰ ⁻ ³⁽⁵⁾⁾ = 10³⁸. The explicit rule for this geometric sequence is f(n) = 10⁽⁵⁰ ⁻ ³ⁿ⁾, where n is the term number of the sequence. This means that the value of each term is determined by taking 10 to the power of 50 minus 3 multiplied by the term number.
The recursive rule for this geometric sequence is [tex]\frac{f(n-1)}{10^3}[/tex] which means that the value of each term can be calculated by dividing the previous term by 10 cubes. We can use
To learn more about explicit and recursive formulas visit here: https://brainly.com/question/25094536
#SPJ1
What’s the answer to 8 and 9
Answer: 4 red and 12 blue
Step-by-step explanation: Answer to 9
We know that for every red rose, he plants 3 blue flowers. The rate is 1:3. If he grows 16, there will be 4 red roses and 12 blue ones. This is because the rate is 1:3 then there are 4 flowers in all. This is 1/4 of how much he wants to grow. So multiply each type of plant by 4. 1 times 4 is 4, so there are 4 red ones. 3 times 4 is 12, so there are 12 blue ones. Hope this helps!
Find the x-intercept of the line 2x–4y= – 12.
The x-intercept of the given line having equation 2x–4y= -12 is -6
How to find x-intercept of a line?
An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system.
To find x-intercept of a line, put y = 0 in the given equation of line
According to the given question:
The equation of line is 2x - 4y = -12
Putting y = 0 in the above equation we get
2x - 4(0) = -12
2x = -12
x = -6
Therefore, x-intercept of the line 2x–4y= -12 is -6
To know more about x-intercept visit
https://brainly.com/question/11017272
#SPJ1
Do You Know How?
3. Estimate 452 ÷ 21.
4. Complete.
21)4 52
-
R
Remember
to check that
your answer is
reasonable.
452 ÷ 21 is equal to [tex]$21 \frac{11}{21}$[/tex].
What is Quotient?
When we divide a number, the result we ultimately obtain is the quotient. Division is a mathematical operation that involves dividing items into equal groups. It is represented by the symbol (÷). For instance, three groups of 15 balls each need to be equally split. Therefore, the division formula is 15 3 = 5 when we divide the balls into three equal groups. Here, the quotient is 5, so. This implies that there will be 5 balls in each group.
[tex]$\frac{452}{21}=21$[/tex] Remainder 11
Convert to mixed number: Quotient= [tex]$\frac{\text { Remainder }}{\text { Divisor }}$[/tex]
[tex]$\frac{452}{21}=21 \frac{11}{21}$[/tex]
[tex]$=21 \frac{11}{21}$[/tex]
To learn more about Quotient visit:https://brainly.com/question/16134410
#SPJ1
The base of a square prism has an area of 16 in.2 The
height of the prism is 6 in. What is the surface area
of the square prism?
Answer:
idek
Step-by-step explanation:
Two congruent parallelograms are joined along their base
to make the shape below.
18 cm
Work out the total area of the shape.
Optional working
11 cm
15 cm
The total area of the shape will be;
⇒ 721 cm²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Two congruent parallelograms are joined along their base to make the shape below.
Now,
We know that;
2 identical parallelogram whose area = 2 (Base x Height)
And, 2 identical right triangle = base x height
And, 1 rectangle = length x width
So, We get;
In parallelogram;
Base = 15 cm
Height = 11 cm
Hence, We get;
Area = 2 (15 x 11)
= 330 cm²
And, Area of two identical right triangle;
Base = 11 cm
Height = 11 cm
Hence, Area = 11 × 11
= 121 cm²
Area of rectangle = 18 x 15 = 270 cm²
Thus, The total area of shape will be;
⇒ 330 + 121 + 270
⇒ 721 cm²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
Consider the following methods, which appear in the same class.
public int function1(int i, int j)
{return i + j;}
public int function2(int i, int j)
{return j - i;}
Which of the following statements, if located in a method in the same class, will initialize the variable x to 11?
A int x = function2(4, 5) + function1(1, 3);
B int x = function1(4, 5) + function2(1, 3);
C int x = function1(4, 5) + function2(3, 1);
D int x = function1(3, 1) + function2(4, 5);
E int x = function2(3, 1) + function1(4, 5);
Option A , if located in a method in the same class, will initialize the variable x to 11 i.e, int x = function2(4, 5) + function1(1, 3).
function2(4, 5) = 5-4 = 1
function1(1, 3) = 3+1 = 4
function2(4, 5) + function1(1, 3) = 5
On initializing the function with 11 ,
the output will be 5
A function is a set of statements that take inputs, do some specific computation, and produce output. The idea is to put some commonly or repeatedly done tasks together and make a function so that instead of writing the same code again and again for different inputs, we can call the function.
In simple terms, a function is a block of code that only runs when it is called.
To learn more about functions
https://brainly.com/question/13532532
#SPJ4
David needs a wood board with an area of 5/12 square yard to complete a project. If the wood board is 2/3 yard wide, how long must the board be?
The area of the board is 5/12 yard², then the length of the board will be equal to 5/8 yard.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Area of board = 5/12 yard²
Width, W = 2/3 yard
Use the equation of area,
A = LW
5/12 = L(2/3)
L = (5/12)×(3/2)
L = 5/8 yard.
To know more about the area:
https://brainly.com/question/27683633
#SPJ1
A circle with center C has equation x²+y²- 2x + 10y-19 = 0
It can be shown that center C is (1,-5) and that the radius is √45.
Find the equation of the tangent to the circle at the point (7,-2), giving your answer in the form ax + by + c=0, where a, b and c are integers.
Answer:
2x + y - 12 = 0
Step-by-step explanation:
The Tangent line will Always be perpendicular to the radius of a circle.
1. Find the slope of the radius that goes from the Center to the given point:
[tex]m=\frac{-2--5}{7-1}=\frac{3}{6}=\frac{1}{2}[/tex]
2. The slope of the Tangent at (7,-2) is the Negative (opposite) Reciprocal of the slope of the radius: [tex]\frac{1}{2}= > -2[/tex]
3. Write the equation of the Tangent in Point Slope Form:
[tex]y+2=-2(x-7)[/tex]
4. Distribute and rewrite in the form ax + by + c = 0
[tex]y+2=-2(x-7)\\y+2=-2x+14\\2x+y-12=0[/tex]
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50, not including the tip. Which equation could be used to determine mm, the number of miles in the taxi ride?
Answer: m = 22
Step-by-step explanation:
First, you subtract $2.50 from the total of $79.50 (because that is the static fee) to get $77.00. Now, because every mile is $3.50 and we want to find the number of miles, we divide $77 by $3.50 to get 22. (An easy way to do this mentally is to divide 77 by 7 and multiply by 2.) Therefore, m = 22.
Refer to Figure 18-12. If the world price of a baseball is $3 and a tariff of 51 per baseball is imposed in the United States, which area represents the aim tariff revenue the United States government collects?
a. a
b. b
c. e
d. f
The area represents the aim tariff revenue the United States government collects is D. f
What is a tariff?Tariffs are taxes levied by the government of a country or a supranational union on goods imported or exported. Import duties, in addition to being a source of revenue for the government, can also be a form of foreign trade regulation and policy that taxes foreign products in order to encourage or safeguard domestic industry.
Tariffs serve three primary functions: they generate revenue, they protect domestic industries, and they correct trade distortions (punitive function). The revenue function stems from the fact that tariff revenue provides governments with a source of funding. This was illustrated as f in the diagram.
Learn more about tariff on:
https://brainly.com/question/1172085
#SPJ1
Fig the function shown in the table below, which of the following is its average fate of change ever the interval 2≤x≤10
1.3/4
2.-2
3.-1/2
4.-3./2
2. What is the average rate of change of g(x)=x² on the interval 3≤x≤9
(1) 8
(3) 15
(2) 12
(4) 18
3. Given the function f(x) shown graphed below, what is its average rate of change from } x=1 to x=7 ?
(1) -1
(2) -4/3
(3) 8
(4) 3/5
4. A function h(x) has an average rate of change equal to 7 on the interval 5 ≤ x≤ 9. If h(5)=12, then which of the following must be the value of h(9) ?
1. Average rate of change of function over the interval is d. -3/2
2. Average rate of change of function over the interval is 2. 12
3. Average rate of change of function over the interval is 1. -1
4. h(12) has the value of 61
What is the average rate of change of function?
The average rate of change function is defined as the average rate at which one quantity is changing with respect to something else changing.
Formula ----- A(x) = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Solution:
1.Given a = 2, b = 10
A(x) = [tex]\frac{f(10)-f(2)}{10-2}[/tex]
A(x) = [tex]\frac{-3-9}{8}[/tex]
∴A(x) = -[tex]\frac{3}{2}[/tex]
2. Given a= 3, b = 9
f(x) = x²
A(x) = [tex]\frac{9^{2}-3^{2} }{9-3}[/tex]
A(x) = [tex]\frac{72}{6}[/tex]
∴ A(x) = 12
3. Given a = 1, b = 7
f(x) = Given graph
f(7) = 0, f(1) = 6
A(x) = [tex]\frac{0-6}{7-1}[/tex]
A(x) = -1
4. Given h(5)= 12, a=5, b=9, A(x) = 7
To find: h(12)=?
A(x) = [tex]\frac{h(12)-h(5)}{12-5}[/tex]
7 = [tex]\frac{h(12)-12}{12-5}[/tex]
h(12) = 7×7 + 12
∴ h(12) = 61
To learn more about average rate of change function visit:
https://brainly.com/question/2170564
#SPJ4
1. Average rate of change of function over the interval is d. -3/2
2. Average rate of change of function over the interval is 2. 12
3. Average rate of change of function over the interval is 1. -1
4. h(12) has the value of 61
What is the average rate of change of function?
The average rate of change function is defined as the average rate at which one quantity is changing with respect to something else changing.
Formula ----- A(x) = (f(b)-f(a))/b-a
Solution:
1.Given a = 2, b = 10
A(x) = -3-9/10-2
∴A(x) = -3/2
2. Given a= 3, b = 9
f(x) = x²
A(x) = 81-9/9-6
∴ A(x) = 12
3. Given a = 1, b = 7
f(x) = Given graph
f(7) = 0, f(1) = 6
A(x) = 0-6/7-1
A(x) = -1
4. Given h(5)= 12, a=5, b=9, A(x) = 7
To find: h(12)=?
A(x) = (f(b)-f(a))/b-a
7 = h(12) = 7×7 + 12
∴ h(12) = 61
To learn more about average rate of change function visit:
https://brainly.com/question/22340031
#SPJ4
what are the domain and range of the function f(x) = 3/4 x + 5
Answer:
Domain: (−∞,∞)
Range: (−∞,∞)
Step-by-step explanation:
This equation has no bounds of domain or range, so the answer to both is all real numbers.