Answers
Answer:
B. Yes, 3.5
Step-by-step explanation:
Proportional Variables
Two variables x,y are proportional if one of them can be calculated as the other variable time a fixed constant:
y = k.x
Or, equivalently:
k = y/x
k is called the constant of proportionality.
The table gives three points: (13,45.5) (14,49) (15,52.5)
To find out if the values correspond to a proportional relationship, we find the value of k for each pair:
k = 45.5 / 13 = 3.5
k = 49 / 14 = 3.5
k = 52.5 / 15 = 3.5
Since the value of k is the same for all the points, we conclude the table shows a direct proportional relationship and the constant of proportionality is 3.5
Related Questions
Sun-Li has $30 to spend at the carnival. Admission is $5, and each
ride costs $2. What is the greatest number of rides she can ride?
Write and solve an inequality.
Answers
Answer:
Sun-Li will be able to ride 12 rides. (30-5)/2=24
Step-by-step explanation:
can someone please help me winner gets (Brainllest)
Answers
Answer:
For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
Identify the independent and dependent variable for the given situation. D = 5t
Answers
Answer:
d = dependant; t = independant
Step-by-step explanation:
The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.
Answer:
[tex]D[/tex] = dependent; [tex]t[/tex] = independent
Step-by-step explanation:
[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].
[tex]t[/tex] is the independent variable since it is the input variable which can be changed.
Hope this helps :)
A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.
Answers
Here is your system of equations:
200x + 400y = 3200
y = 2x
Now plug into your calculator to see the graph.
Where the lines cross each other is the point that shows the solution.
what is the sum of 9a+12
Answers
Answer:
3(3a+4)
Step-by-step explanation:
Answer:
I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same
Step-by-step explanation:
7,652x5 please regroup I don’t understand :(
Answers
Answer:
38260
Step-by-step explanation:
ur welcome
Answer:
38,260
Step by step instructions
Helps me solve this problem please
Answers
Answer:
A.
Step-by-step explanation:
You just plug in the numbers
y = x - 7
-5 = 2 - 7
- 5 = - 5
This makes this equation true.
A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.
Answers
Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/tex]
Step-by-step explanation:
To find an equation of a line in when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} - 3 \\ [/tex]
Hope this helps you
Watch one is the right one
Answers
Answer:
I would say A and E would be it.
Step-by-step explanation:
How many even integers are there between -4 and 4 ?
F. 1
G. 3
H. 4
J. 5
K. 7
Answers
Answer:
( -2,0,2 ) three
Step-by-step explanation:
HOPE THIS HELPS
Mae Ling earns a weekly salary of $370 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answers
Answer:
Mae ling would have made 2,302.
Step-by-step explanation:
A person decides to lease a $20,000 car for three years instead of buying the car and financing with a loan. At the end of three years, the car is worth $11,000. How much will he receive when he returns the car to the dealership?
Answers
Oksuruk diyaframincok ani kasilmasiyla olusan bir reflekstir.
It's asking to find X
Answers
Answer: 50 degrees
Step-by-step explanation:
the middle angles are vertical (equal to eachother) so you just have to do 180-80=100 and divided by two is fifty
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answers
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Una función cuadrática es de la forma f(x)=ax^2+bx+c, donde a, b y c son número reales y a es diferente de cero. De acuerdo con este enunciado cual no es una función cuadrática. * f(x)=3x^2+12x+5 f(x)=x^2+x+1 f(x)=5x^2+8x f(x)=5x+3
Answers
Answer:
option (4)
Step-by-step explanation:
The general form of a quadratic function is given by :
[tex]f (x) = ax^ 2 + bx + c[/tex]
Where a,b and c are real numbers and a is nonzero.
Option (1)
[tex]f (x) = 3x^ 2 + 12x + 5[/tex]
It is a quadratic function. Here, a = 3, b = 12 and c = 5
Option (2),
[tex]f (x) = x^ 2 + x + 1[/tex]
It is a quadratic function where a = 1, b = 1 and c =1
Option (3),
[tex]f(x)=5x^ 2 + 8x[/tex]
It can also be written as :
[tex]f(x)=5x^ 2 + 8x+0[/tex]
It is a quadratic function where a = 5, b = 8 and c = 0
Option (4),
It can also be written as :
f(x) = 5x + 3
It is a linear function. It is not a quadratic function.
Hence, option (4) is the correct option. It is not a quadratic function.
For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5? A. when b = 0 B. when b = 54 C. when b = 5 D. always
Answers
Answer:
b = 5/4
Step-by-step explanation:
Equations
Given the function:
[tex]f(x)=mx+b[/tex]
It's required to find the value of b such that:
[tex]5f(x)=f(5x)+5[/tex]
Substituting:
[tex]5(mx+b)=5mx+b+5[/tex]
Operating:
[tex]5mx+5b=5mx+b+5[/tex]
Simplifying:
[tex]5b=b+5[/tex]
Subtracting b:
[tex]4b = 5[/tex]
Dividing by 4:
b = 5/4
(5i-3)(9i+1)
Answer must be in standard form
Answers
Answer:
-48-22i
Step-by-step explanation:
ASAP 20 points!!! & BRAINLIEST!
Answers
Answer:
None are parallel.
Step-by-step explanation:
Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.
Hope this helped!
Yoo how yall doinnnnn
Answers
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
I WILL MARK BRAINIEST
Answers
Answer:
U can determine that lines e and f are not parallel
Step-by-step explanation:
By remembering vertical angles, u can find all the angles for the diagram. The top are: 110, 70, 70, 110. The bottom four are: 105, 75, 75, 105. As u can see they're not the same so the lines cannot be parallel
what is the value of this expression below when y=5 and z=3
10y-6z
Answers
Answer:
32
Step-by-step explanation:
The numbers and letters next to each other mean multiplication. Plus, we already know the values of y and z, so all you have to do is simplify the equation. 10y turns into 10 x 5, and 6z turns intro 6 x 3. So now the equation is 50 - 18, which equals 32. Hope this helps!
Value of expression 10y -6z if y = 5 and z = 3 = 32
What is an expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given
value of y = 5
value of z = 3
expression 10y - 6z
Putting value of y and z in the expression
10(5) - 6(3)
= 50 - 18
= 32
Hence, 32 is the value of expression 10y -6z if y = 5 and z = 3.
Learn more about expressions here:
brainly.com/question/13947055
#SPJ2
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answers
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?
Answers
Answer:
Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.
Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
Find the angle, in radians, in the figure below if S = 8 and r = 6.
(view image)
precalc help
Answers
Answer:
Value of theta Ф = 1.33 radians
Step-by-step explanation:
We are given :
S= 8
r = 6
We need to find angle Ф
The formula used is: S=rФ
Finding theta Ф by putting values in formula:
[tex]S=r\theta\\\theta=\frac{S}{r}\\ \theta=\frac{8}{6}\\\theta=1.33[/tex]
So, value of theta Ф = 1.33 radians
Helps me solve this problem please
Answers
Answer:
i think it b or d
Step-by-step explanation:
hope it helps!
veronica made 164 brownies. If Veronica sold half of the brownies that she made, how many did she sale?
Answers
Answer:
She sold 82 brownies
Step-by-step explanation:
164 / 2 = 82
82 x 2 = 164
The number of brownies veronica sale is 82 brownies.
We are given that;
Number of brownies made= 164
Now,
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
To find out how many brownies Veronica sold, we need to divide the total number of brownies she made by 2.
This is because half of something means one part out of two equal parts. Using this method, we get:
[tex]$\frac{164}{2} = 82$[/tex]
Therefore, by unitary method the answer will be 82 brownies.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ4
Solve: h + 12.6 = -12.6 *
Answers
Answer:
h = -25.2
Step-by-step explanation:
To solve the equation, you want to isolate the h variable. To do this, move 12.6 to the other side of the equation. Since you were adding on the left side, use the inverse operation, subtracting, on the right. Simplify the result to get the answer.
h + 12.6 = -12.6
h = -12.6 - 12.6
h = -25.2
Pls help please show work and steps
Answers
Answer:
No/ False.
Step-by-step explanation:
1.) Substitute the coordinates to the given inequality; x is 2, and y is 2. Then, solve.
[tex]2x-3y\geq 6\\2(2)-3(2)\geq 6\\4-6\geq 6\\-2\geq 6[/tex]
Negative 2 (-)2 is NOT GREATER THAN OR EQUAL to Positive 6 (+6), therefore it is a FALSE STATEMENT.
Answer:
no
Step-by-step explanation:
its in the picture. -2 is not greater than or equal to 6
given the function g(x)=2x²-12 ,find g(-3).
Answers
Answer:
g(-3) = -30
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
g(x) = 2x² - 12
g(-3) is x = -3
Step 2: Solve
Substitute: g(-3) = 2(-3)² - 12Evaluate: g(-3) = -2(9) - 12Multiply: g(-3) = -18 - 12Subtract: g(-3) = -30How much do you need to subtract from 43/10 to make 4?
Answers
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
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Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
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Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10