Answers
Answer:
The equation is:
y = -15*x + 1200
and:
a = 120
b = 70
c = -1500
Step-by-step explanation:
This seems to be a linear relationship.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Here we know that our line passes through the points (60, 300) and (20, 900)
Then the slope of this line is:
a = (900 - 300)/(20 - 60) = 600/(-40) = -15
Then this line is something like:
y = -15*x + b
To find the value of b, we know that this line passes through the point (60, 300) then when x = 60, we have y = 300.
Replacing these values in the above equation we get:
300 = -15*60 + b
300 + 15*60 = b = 1200
Then:
y = -15*x + 1200.
Now that we have this equation, we can complete the table.
a is the value for y, when x = 72
Then we can replace x by 72 in the above equation:
a = -15*72 + 1200 = 120
a = 120
b is the value of x when y = 150, then we need to replace y by 150
150 = -15*b + 1200
150 - 1200 = -15*b
(150 - 1200)/-15 = b = 70
then:
b = 70
c is the value of y when x = 180, then we need to replace x by 180.
c = -15*180 + 1200
c = -1500
Related Questions
Please does anyone know the answer to this question??
Answers
9514 1404 393
Answer:
126°
Step-by-step explanation:
To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.
(5x -6) +(3x) = 90
8x = 96 . . . . . . . . . . . add 6, collect terms
x = 12 . . . . . . . . . . . . . divide by 8
3x° = 3·12° = 36° . . . . . . find the "remote" acute angle
exterior angle = 90° +36°
exterior angle = 126°
__
The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.
Find value of X
Thank you
Answers
Answer:
x = 98
Step-by-step explanation:
If angle D is the center then
x + 4 = 2 × (x - 47)
x + 4 = 2x - 94
4 + 94 = 2x - x
98 = x
SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!
Answers
Answer:
(-2,-3)
Step-by-step explanation:
A=(8,-5)
M=(3,-4)
The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.
B=(-2,-3)
Is 121,031 divisible by 3?
Answers
how long would a rock that weighs 2 pounds take to fall 99 feet
Answers
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3
Answers
Answer:
The answer will be B
Step-by-step explanation:
solve -3-(-5)+(-2)
Answers
Hope this helps
Answer:
[tex]0 \: is \: the \: answer[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] - 3 + 5 - 2[/tex]
2) Simplify -3 + 5 to 2.
[tex]2 - 2[/tex]
3) Simplify.
[tex]0[/tex]
Therefor the answer is 0.
what is the volume of a cylinder when the radius is 3 and height is 7
Answers
Answer:
63pi
Step-by-step explanation:
the formula for the volume of a cylinder is pi r^2 h
r=radius
h=height
3=r
7=h
pi((3)^2)7
63pi units^3
Hope that helps :)
Answer:
197.92
Step-by-step explanation:
To find the volume of a cylinder use V=πr2h.
Then fill in the equation with known information
V=π(3²)(7)
V= 197.92
If there are any units your answer will need them.
3-4(12 divided by 6)
Answers
Answer:
The answer is -2
Step-by-step explanation:
First we divide 12 by 6.
12/6 = 2
Next we subtract 3 by 4.
3 - 4 = -1
Now we solve.
-1 * 2 = -2
So, the answer is -2.
Hope this helps! :)
Answer:
3
Step-by-step explanation:
Do 12/6 first and you get 2 and then you do 3-4 and you get 1
Complete the square in order to solve the following quadratic equation:
x^2 + 6x = −2
Answers
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
or
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a
so
b
=
3
and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9
−
9
=
(
x
+
3
)
2
−
9
We include the
±
9
because we have to net add nothing to the equation so
9
−
9
=
0
so we really haven't added anything
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answers
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
which value of x is a solution of 8> (x-6)-2
Answers
Answer:
The answer is x < 16.
Step-by-step explanation:
1) Remove parentheses.
[tex]8 > x - 6 - 2[/tex]
2) Simplify x - 6 - 2 to x - 8.
[tex]8 > x - 8[/tex]
3) Add 8 to both sides.
[tex]8 + 8 > x[/tex]
4) Simplify 8 + 8 to 16.
[tex]16 > x[/tex]
4) Switch sides.
[tex]x < 16[/tex]
Therefor, the answer is x > 16.
solve the system of equations by adding. check your answer.
Answers
Answer:
x+12y=40
Step-by-step explanation:
the question itself says by adding
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answers
Answer:
n=42, m=42[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.
What is the slope of y = -4x – 3
Answers
Answer:
-4
Step-by-step explanation:
bc the equation is y=mx+b and m is y/x so -4
Please help me with this please!!
Answers
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
help me pls thank u <3
Answers
Which equation represents a line which is parallel to the line 4x-5y=30
Answers
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
34.12
Step-by-step explanation:
Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)
What is the slope-intercept equation for this
standard form equation?
(Y-intercept needs to be positive)-
(Giving Brainliest for Correct Answer-)
6x - 3y = 12
Answers
Answer:
Y = 2x - 4
Slope is 2.
Y-intercept is -4.
Step-by-step explanation:
To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.
And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.
Or you could also rearrange the equation. . .
6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.I dont know how to do this pls help me
Answers
Answer:
5) x = 0.75
6) x = 12
Step-by-step explanation:
5)
Use geometric mean of altitude
[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]
6)
Use geometric mean of legs
[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]
I need Help!! Please Help me!! I will give Brainliest!!!
Try it! Find the percent of change. Round to the nearest percent if necessary.
1) 10 inches to 25 inches. 2) 57 people to 65 people.
Answers
Answer:
1. 150% 2. 14%
Step-by-step explanation:
f(x)= 3x^2
g(x) =7x+4
f(g(4))=____
Answers
G(4)=28+4
G=32
F(32)= 3(32)^2
F= 9216
f(g(4))= 9216
3x +11+7x
Pls help I want to learn this
Answers
Answer:
3x +7x +11=10x+11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Group like terms:
=3x+7x+11
Add similar elements: 3x+7x=10x
=10x+11
What is the measure of ZC? *
Answers
hope this helps!
Answer:
∠ C = 70°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles to obtain ∠ C , that is
∠ C = 180° - (70 + 40)° = 180° - 110° = 70°
Help me please!! ;okxjda.sdfajskndmf
Answers
Answer:
133
Step-by-step explanation:
2(_9)^2=162
3(-9)=-27
2(-9)^2 +3(-9)-2= 162-27-2=133
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Answers
Answer:
3,840
Step-by-step explanation:
Answer:
The volume is 3840
Step-by-step explanation:
12 times 16 times 20. L x W x H
Whats y=18x pls helppp
Answers
Linear Equations & Functions -
Basically, this equation is meant for functions and graphing functions.
[tex]y = 18 \times \: x[/tex]
x,y
2,36
5,90
You could also use this to find the slope:
y1-y2
--------
x1-x2
:
-54
-----
-3
=18
You could also graph it.
The product of five times p and seven times q is
Answers
Answer:
Step-by-step explanation:
(5p)(7q)=35pq
Answer:
The product of five t imes p and 7 times q is just:
5p(7q), which is 42pq
Let me know if this helps!
Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence? The sequence is recursive, where each term is StartFraction 1 Over 4 EndFraction greater than its preceding term. The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction.. The sequence is arithmetic, where each pair of terms has a constant difference of StartFraction 3 Over 4 EndFraction. The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)f of n plus 1 equals f of n plus left parenthesis StartFraction 3 Over 8 EndFraction right-parenthesis..
Answers
Answer:
The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B
Step-by-step explanation:
The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......
Convert the mixed fraction number into a fraction number. Then we have
3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......
3/8, 3/4, 9/8, 3/2, 15/8, ........
The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,
d = 3/4 - 3/8
d = 6/8 - 3/8
d = (6 - 3)/8
d = 3 / 8
The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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