Answers
Answer:
answer below
Step-by-step explanation:
f(x) = a* bˣ
if a>0 and b>1 : growth
if a>0 and 0<b<1 : decay
5) 7) 9) : growth
6) 8) 10) : decay
When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.
Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
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Related Questions
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answers
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
Find the length of the third side of the right triangle.
The length of the third side is ____
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answers
Answer:
15
Step-by-step explanation:
17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer
Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make ?
Answers
Answer:
She can make 4 1/3 cups
Step-by-step explanation:
Answer:
2.625 should be your answer
Step-by-step explanation:
hope you have a good day!
Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4
Answers
Answer:
y=24
Step-by-step explanation:
solve the following problems:
in Mrs. Pregonero Math class, 12 pupils got high scores on thw test . if this is 15% of the total number of pupils in the class, how many pupils she have in all?
Answers
Answer:
Step-by-step explanation:
tey to analyze the problems
Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answers
Answer: The answer is 36(multiple possible answers though).
can I have some help?
Answers
Answer:
[tex]x = \sqrt{58} [/tex]
Step-by-step explanation:
first, you should draw a line to separate the triangle from the rectangle
You can get the height if the triangle by saying 16-9
This will give you 7
The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal
Now that we have the measurements of the triangle we can use the Pythagorean theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]
[tex] {x}^{2} = 49+ 9[/tex]
[tex] {x}^{2} = 58[/tex]
[tex]x = \sqrt{58} [/tex]
solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8
Answers
-17/8
Step-by-step explanation:
10( x + 1) = 2 x-7
10x + 10 = 2x - 7
10 + 7 = 2x - 10x
17 = - 8x
x = -17 /8
Answer:
Hiya There....!!!
______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 17 /18Decimal Form:
x = − 2.125
Mixed Number Form:
x = − 2/ 1 8
_______________________
“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”
― Joyce Cary, The Horse's Mouth
__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Line y=2x+3 is tangent to a circle with center (2,-3). Which of the length of the radius of the circle?
Answers
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:
y+3=-1/2(x-2)
We can simplify this to
y= -1/2x-2
We can then check the point of intersection:
-1/2x-2=2x+3
-5=2.5x
x=-2
we can plug this in to the first equation to get y=2(-2)+3=-1
So the point of intersection of the circle and the tangent line is (-2,-1)
Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.
[tex]\sqrt{(-2-2)^{2}+(-1-(-3))^{2} } =\sqrt{(-4)^{2}+2^{2} } =\sqrt{20} =2\sqrt{5}[/tex]
The radius of the circle is [tex]2\sqrt{5}[/tex]
For Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The line y=2x+3 is tangent to the circle with center (2,-3)
The distance from the center of the circle to the line is equal to the radius of the circle.
The distance from a point (x₁, y₁) to a line Ax + By + C = 0 is given by the formula:
d = |Ax₁+ By₁ + C| /√A² + B²
The equation of the line is y = 2x + 3, which can be written in the form Ax + By + C = 0 as (-2)x + y - 3 = 0.
d = |-2(2) + (-3) - 3| / √(-2)² + 1²
d=10/√5
The radius of the circle is equal to the distance from the center to the tangent line, which is:
radius = 10/√5
Hence, for Line y=2x+3 is tangent to a circle with center (2,-3) then the length of the radius of the circle is 10/√5
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Evaluate the given expression for x = 4.
x? + 5x - 8
Answers
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Answers
Step-by-step explanation:
is it like this ? no diagrams ?
The standard error of is the _____. Group of answer choices variance of variance of the sampling distribution of standard deviation of the sampling distribution of difference between the two means
Answers
Answer:
standard deviation of the sample distribution of the difference between these two sample means
Step-by-step explanation:
Simplify the following expression.
Answers
Answer:
-1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
Find the area of the shaded region below.
Answers
Answer:
145
Step-by-step explanation:
yeah-ya...... right?
15=x/4 - 3 how do i solve
Answers
Answer: the answer is x=72
Step-by-step explanation:
Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)
the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:
1/4x-3=15 then add 3 on both sides so 15+3=18
step 2: our equation is now 1/4x=18 (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4
18*4=72 which means x=72
What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest
Answers
Answer:
the answer is shown on the photo!
Answer:
a=570
Step-by-step explanation:
correct sure
An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory
Answers
Answer:
It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.
Step-by-step explanation:
The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.
So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.
The answer has to be "about 21,900,000."
Graph the line with slope -2/3
passing through the point (-4,5).
Answers
Answer:
graph this equation
y = -2/3x 7/3
Step-by-step explanation:
y-5=-2/3(x--4)
y-5 = -2/3x - 8/3
y = -2/3x 7/3
(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Answers
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft
B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.
First of all, sea level is at 0 ft.
Thus;
If city A has an elevation of 80 ft below sea level, then;
Elevation of city A = -80 ft
The elevation of city C is 16 feet below sea level. Thus;
Elevation of city C = -16 ft
A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;
Expression for Elevation of city D = ¹/₂ × (-16)
B) Solving the expression for elevation of city D gives;
Elevation of City D = -8 ft
The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
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Answer:
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Choose the best selection for the quadrilateral with vertices at the following points: (-2,0), (0,4), (4,0), (6,4) Hint: Start by graphing the points. Distance Formula: d= (x2 – x1)2 + (y2 – yı)? + B. Parallelogram a. Rectangle D. Trapezoid Rhombus
Answers
The best selection for the quadrilateral with the given vertices is: parallelogram.
Recall:
Parallel lines are lines do not intersect and they are equal distant apart.
The opposite side of a parallelogram are of equal length.
Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:
Point A (-2,0)
Point B (0,4)
Point C (6,4)
Point D (4,0)
Find the distance between each vertices using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between Point A (-2,0) and Point B (0,4):
[tex]AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }[/tex]
Distance between Point B (0,4) and Point C (6,4):
[tex]BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }[/tex]
Using the same distance formula, CD = √20 while AD = 6
This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.
Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.
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Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain
6 grade shiiii, help me out doe, thanks luvs <33.
Answers
Answer:
Monica is not correct.
Step-by-step explanation:
First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)
PLEASE HELP!!
what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?
x^2-34=16x
Answers
Answer:
1: x =(16-√392)/2=8-7√ 2 = -1.899
2: x =(16+√392)/2=8+7√ 2 = 17.899
Step-by-step explanation: I found two solutions it’s either one or two.
I hope this helped :) I tried my best.
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answers
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18
Which of the following will have the same value as 350 × 10?
Answers
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
help please i made it worth a lot of points
Answers
Answer:
[tex] \dfrac{4m^2n}{3p} [/tex]
second choice
Step-by-step explanation:
Deal with the numbers first, then with each set of equal variables.
Use the rule a^m/a^n = a^(m - n)
4/3 cannot be reduced, so the number part remains 4/3.
m^4/m^2 = m^2
n^3/n^2 = n^1 = n
p^3/p^4 = p^-1 = 1/p
Now put it all together:
[tex] \dfrac{4m^2n}{3p} [/tex]
second choice
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]
a^m/a^n=a^m-n[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]
A store is having a clearance sale where all prices are 30% off. The store is located in a county with a 7.5% sales tax. The final price, including sales tax, of any item in the store will be what percent of the original price? Explain your reasoning.
Answers
Ans. 450
Solve.
Add 100and you will get the ans
as an estimation we are told 5 miles is 8km convert 60km to miles
Answers
Answer:
60km is 37 Miles
it is a decimal- 37.2 Miles
Step-by-step explanation:
divide 60 by 1.609
Answer: using this we can say that 60km is 37.5 miles
Step-by-step explanation:
first you divide 60 and 8 which gives us 7.5
using this we multiply 7.5*5=37.5
8 grade math part 1 help me
Answers
EXPLANATION: 360-180=180
Pre college need help thiss
Answers
Answer:
25
-35
5
Step-by-step explanation:
yeah-ya.............. right?
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
Answers
Answer:
His mother baked 7 more cookies