Write the equation of the line represented by the table below. Thank you anyone for helping!
Answers
Answer:
A. y = -3x + 5
Step-by-step explanation:
Use any two points to find slope, let's use (-2, 11) and (4, -7):
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-7 - 11) / (4 - (-2))
= -18 / 6
m = -3
Use above slope and any one point to find y-intercept, let's use (10, -25):
y = mx + b
-25 = -3(10) + b
-25 = -30 + b
b = 5
Use m and b above to form equation of line:
y = mx + b
y = -3x + 5
Related Questions
Jose has $4. His mom gives him $2 each time he does his homework. He is saving up to
buy a game that costs $68. How many times does he have to complete his homework in
order to reach this goal?
Answers
equation form:
(68-4)/2=32
Which statement correctly compares the function shown on this graph with the function y =5x+5.
A. The function shown on the graph has a greater rate of change, but a lower starting point.
B. The function shown on the graph has a greater rate of change and a higher starting point.
C. The function shown on the graph has a smaller rate of change, but a higher starting point
D. The function shown on the graph has a smaller rate of change and a lower starting point.
Answers
D. The function shown on the graph has a smaller rate of change and a lower starting point. Sorry if incorrect i hope i helped.
Use substitution to find an exponential function, y= a - b" that passes through
(2, 16) and (5, 1.024).
Answers
Answer:
[tex]y = 4^x[/tex]
Step-by-step explanation:
Given
[tex](2,16)[/tex]
[tex](5,1,024)[/tex]
Required
Determine the exponential function [tex]y = a.b^x[/tex]
In [tex](2,16)[/tex]
[tex]x=2[/tex] and [tex]y = 16[/tex]
Substitute these values in [tex]y = a.b^x[/tex]
[tex]16 = a.b^2[/tex] --- (1)
In [tex](5,1,024)[/tex]
[tex]x = 5[/tex] and [tex]y = 1024[/tex]
Substitute these values in [tex]y = a.b^x[/tex]
[tex]1024 = a.b^5[/tex] --- (2)
Divide (2) by (1)
[tex]\frac{1024}{16} = \frac{a.b^5}{a.b^2}[/tex]
[tex]\frac{1024}{16} = \frac{b^5}{b^2}[/tex]
[tex]64 = \frac{b^5}{b^2}[/tex]
Apply second law of indices
[tex]64 = b^{5-2[/tex]
[tex]64 = b^3[/tex]
Express 64 as an exponent of 3
[tex]4^3 = b^3[/tex]
[tex]4 = b[/tex]
[tex]b = 4[/tex]
Substitute 4 for b in (1)
[tex]16 = a.b^2[/tex]
[tex]16 = a * 4^2[/tex]
[tex]16 = a * 16[/tex]
[tex]16 = 16a[/tex]
Solve for a
[tex]a=\frac{16}{16}[/tex]
[tex]a = 1[/tex]
Substitute 1 for a and 4 for b in [tex]y = a.b^x[/tex]
[tex]y = 1 * 4^x[/tex]
[tex]y = 4^x[/tex]
The exponential function is given by y = 100(0.4)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
At point (2, 16):
16 = ab² (1)
At point (5, 1.024):
1.024 = ab⁵ (2)
Dividing equation 2 by equation 1:
b³ = 0.064
b = 0.4
16 = a(0.4)²
a = 100
The exponential function is given by: y = 100(0.4)ˣ
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What is 83 1/3% of 30
Answers
step by step explanation:
yw
hope this helps
give brainliest plz
[tex]the \: angle \: of \: measure \: \frac{31\pi}{6} \: lies \: in \: which \: quadrant[/tex]
Answers
Answer:
3rd quadrant
Step-by-step explanation:
First we just convert the angle from radians to degrees[tex]\frac{31\pi radians }{6}*\frac{180degrees}{\pi radians} =\frac{31*180}{6} degrees=930degrees[/tex] Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;[tex]930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees[/tex] Now in which quadrant it 210 degrees?0 degrees to 90 degrees is 1st quadrant90 degrees to 180 degrees is 2nd quadrant180 degrees to 270 degrees is 3rd quadrant270 degrees to 360 degrees is 4th quadrantSo our answer is the 3rd quadrant.URGENT WILL GIVE BRAINLIST, please answer these 3 questions
Answers
Answer:
Q.8:use the equation [tex]y-y_1=m(x-x_1)[/tex] [tex]y-(-4)=-6(x-(7))\\y+4=-6x+42\\y=-6x+38[/tex]Q.9:Find slope with [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] substitute and solve[tex]slope=\frac{(1)-(-3)}{(3)-(1)} =2[/tex] then as follows[tex]y-y_1=m(x-x_1)\\y-(1)=2(x-(3))\\y-1=2x-6\\y=2x-5[/tex] Q.10:Find slope [tex]slope=\frac{(12)-(2)}{(2)-(7)}=-2[/tex] then[tex]y-y_1=m(x-x_1)\\y-(2)=-2(x-(7))\\y-2=-2x+14\\y=-2x+16[/tex]What is the inverse of f(x) = sqft x+ 3
Answers
Answer:
[tex]f^{-1} (x)=x^{2} -3[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{x+3}[/tex]
We can find the inverse function by exchanging x and y, and then solve for y.
[tex]y=\sqrt{x+3}[/tex]
Replace x with y.
[tex]x=\sqrt{y+3}[/tex]
square both sides
[tex]x^2=y+3[/tex]
[tex]y=x^2-3[/tex]
Hence,
[tex]f^{-1} (x)=x^{2} -3[/tex]
I need help ♀️What acronym help you decide order to multiply Binomials ?
Answers
Answer:
FOIL
Step-by-step explanation:
" is just a mnemonic. It helps some people to remember all the steps needed to multiply two binomials. It "makes sense" because it's methodical and gives the right answer.
Determine the degree of each monomial.
Answers
Answer:
Step-by-step explanation:
4= 0 degree
2z= 1 degree
4r^2st^3= 6 degree
3xyz^2= 4 degree
someone help me find x please!
Answers
I need help very important
Answers
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
How would you simplify 3/16 times 6/11 before finding the product
Answers
answere:
You can't simplify
explanation:
there is no need to simplify because 3/16 and 6/11 is the simplest form.
omar buys a pack of 8 towels for 24.00 find the unit price in dollar per towel
Answers
Answer:
um 3
Step-by-step explanation:
whats 24 divided by 3 mate? 3
i mean all u need is a calculator im dumb as hell and i know that...
hope...this helps you :) have a great day
Using the slope formula, find the slope of the line through the points (0,0) and (4,12).
Answers
Answer:
3
Step-by-step explanation:
slop of given point is 3
3x²+2x²+x-2 divided x+2
Answers
Answer:
3x^2-4x+9 remainder -20/x+2
Step-by-step explanation:
Help please if you can
Answers
Answer: mutiply x by itself to get y
Step-by-step explanation:
HELP PLease! 40 points!!!!
Answers
Answer:
D. 480 ftStep-by-step explanation:
Let the sides of triangle be a, b and c
Perimeter
P = a + b+ c = 40New sides
12a, 12b and 12cNew perimeter
Pn = 12a + 12b + 12c = 12(a+b+c) = 12*40 = 480 ftCorrect choice is D
15 time the difference of 14 and 6
Answers
Answer:
120
Step-by-step explanation:
14-6=8x15=120
15 • 8
=120
Solve the equation tanxtan(x – 45°)=0 for 0° < x < 360°.
Answers
Answer:
\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)
Step-by-step explanation:
Write an equation in slope intercept form using the information below.
Answers
We want the equation in the form y = mx + b.
We are given that m = -7.
The y-intercept (our b) is 8.
Here it is:
y = -7x + 8
a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share. what is the percent loss?
Answers
Answer:
60%
Step-by-step explanation:
its right
If a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a company’s stock was selling at 35$ a share.
After a month later it was selling at 14$ a share.
We need to find the percent of loss.
Original share price=35
new share price=14
We calculate the percentage by finding the difference and dividing the difference with the original share price.
35-14/35
0.6
Now multiply this 0.6 with 100 as it is a hundredth part.
0.6×100
60%
Hence, if a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.
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#SPJ2
what is next in the sequence ? 17, 13, 9, 5
Answers
Answer:
1
Step-by-step explanation:
It is being subtracted by four everytime
PLS Help .Kennedy Middle School is having a Halloween celebration. Students visit each classroom and solve math problems to get candy. For each problem they solve correctly, they earn 8 pieces of candy. Jack's teacher gave him 4 pieces of candy to start with. Jack's goal is to get at least 60 pieces of candy. Graph on the number line the number of problems Jack will need to solve correctly to meet his goal.
Answers
Answer:
Ok im too too sure but I think that it is the one with the filled in dot -->
Step-by-step explanation:
A 50-foot flagpole near an office building casts a shadow
that is 12.5 feet long. At the same time, the office building
casts a shadow that is 50 feet long. How tall is the office
building?
Answers
Step-by-step explanation:
Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).
The shadow is always on the ground.
A person and a flagpole always stands up straight, like a wall (vertical height)
Underline key words and numbers. Draw a picture for sure.
|
|X 5.5 ft. |
|____________ |____
flagpole=50 feet person's shadow=4 feet
shadow
Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet
total cost spent at a play avries directly with how many tickets are purchased. if any buys 5 tickets and spends 30 dollars. how much would 25 tickets cost
Answers
Answer:
$150
Step-by-step explanation:
5 x 6 = 30
25 x 6 = 150
Answer:
If it is a solution of equations, then plug your solution into the equations you are working on to make sure that all equations are satisfied by your solution.
Step-by-step explanation:
I hope that this was helpful.
What is the equation of the line though (2, -1) and (05)?
Answers
The to your problem is m = -3, I hope this really helps you :)
Y= -3x+5 that’s the answer I got
What is the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0)?
Enter your answer in the box.
Answers
Answer:
The equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be: [tex]x-2y=0[/tex]
Step-by-step explanation:
Given the line
[tex]x-2y=-4[/tex]
[tex]x+4 = 2y[/tex]
[tex]y=\left(\frac{1}{2}\right)x+2[/tex]
[tex]m_1=\frac{1}{2}[/tex]
so, the slope of the line parallel to the given line would have
the same slope as [tex]\frac{1}{2}=m[/tex], and passed through the point (0, 0).
Therefore, the equation of the required line is given by
[tex]y = mx+b[/tex]
[tex]y=\left(\frac{1}{2}\right)x+0[/tex]
[tex]y=\left(\frac{1}{2}\right)x[/tex]
[tex]2y=x[/tex]
[tex]x-2y=0[/tex]
Therefore, the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be: [tex]x-2y=0[/tex]
Find the slope of the question y=5
Answers
Answer:
0,5
Step-by-step explanation:
slope: 0
y-intercept:(0,5)
Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z) please help me im confused
Answers
do u like beans?Step-by-step explanation: hope it helps
Answer:
-0.2z
Step-by-step explanation:
-0.5z + 0.9z - ( -0.3z+0.9z) open paranthesis and change the sign of all terms
-0.5z + 0.9z + 0.3z - 0.9z combine terms
-0.5z+0.3z= -0.2z
PLEASE HELP MEEEEEEE
Answers
Answer:
triangle BFD
75 degrees