Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
This means we divide the change in y over the change in x
Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)
[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]
Now we have this:
[tex]y = 50x+b[/tex]
Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:
[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]
Since b is 0, we don't have to write it on our equation, meaning that our final equation is just
[tex]y = 50x[/tex]
To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:
[tex]y = 50\cdot 4\\y = 200[/tex]
Just like it is on the graph :)
Good luck!
A book and a pen cost $18. The book and 2pens cost $21. What is the cost of the book
Answer:
15 dollars
Step-by-step explanation:
21 - 18 = 3
18 - 3 = 15
I hope this helps have a good day and stay safe!
Answer:
15
Step-by-step explanation:
one pen is three dollars. that leaves 15 dollars left over.
If correct may l please have brainliest?
Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
The new Play-station has a regular price of $500.00. Gamer Stop is having an after New
Year's sale offering a 15% discount. What will the sale price be for the new Play-station?
PLEASE HELP!!! Any help will be greatly appreciated
Help plz quick ASAP I just need help
Answer:
$11.60
Step-by-step explanation:
$9.39
Tax: 3.5%
3.5 ÷ 100 = 0.035 × 9.39 = 0.33
Tax 0.33
9.39 + 0.33 = $9.72
Tip: 20%
20÷ 100 = 0.2 × 9.39 =1.88
tip 1.88
9.72 + 1.88 = 11.60
total $ 11.60
Given the figure below, find the values of x and z.
(10x - 65)
(9x - 49)
Can someone help me out if you can, i just want someone to help me out with this problem if not that’s okay
Answer:
consecutive interior angles equal 180 not equal to each other
Step-by-step explanation:
Answer:
6x− 1 0 = 4 + 4 0
6x-10=4x+40
6x−10=4x+40
Solve
1
Add
1 0
10
10
to both sides of the equation
6 − 1 0 = 4 + 4 0
6x-10=4x+40
6x−10=4x+40
6 − 1 0 + 1 0 = 4 + 4 0 + 1 0
6x-10+{\color{#c92786}{10}}=4x+40+{\color{#c92786}{10}}
6x−10+10=4x+40+10
2
Simplify
Add the numbers
Add the numbers
6 = 4 + 5 0
6x=4x+50
6x=4x+50
3
Subtract
4 4x 4x
from both sides of the equation
6 = 4 + 5 0
6x=4x+50
6x=4x+50
6 − 4 = 4 + 5 0 − 4
6x{\color{#c92786}{-4x}}=4x+50{\color{#c92786}{-4x}}
6x−4x=4x+50−4x
4
Simplify
Combine like terms
Combine like terms
2x=50
5
Divide both sides of the equation by the same term
2x=50
2 /2 = 5 0 /2
\frac{2x}{{\color{#c92786}{2}}}=\frac{50}{{\color{#c92786}{2}}}
22x=250
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
= 2 5
Solution
= 2 5
Step-by-step explanation:
I'm sorry my stuff is coming off weird
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answer:
Length of side AD is 6.5 units.
Step-by-step explanation:
Let the center of the rectangular base of the given pyramid is O,
From the picture attached,
m∠AOD = 90°
By applying Pythagoras theorem in the right triangle AOD,
AD² = AO² + OD²
AD² = 6² + (2.5)²
AD = √42.25
AD = 6.5 units
Therefore, length of side AD is 6.5 units.
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
I can't afford to fail right now!
THE QUESTION IS: Paul and Seth know that one point on a line is (4, 2) and the slope of the line is −5. Each student wrote a different equation relating x and y.
A. Do the two equations represent the same line? Construct a mathematical argument to support your answer.
Answer:
Screenshot
Step-by-step explanation:
Answer:
Yes they represent the same line
Step-by-step explanation:
-5x+20=y-2 ( Seth equation simplified)
-5x+22=y ( Seth equation isolate y)
Paul equation = Seth equation
What’s the answer help please?????
Answer:
midpoint formula is the answer
What is 6% sales tax on a $12
pair of mittens?
Answer:
0.72$
Step-by-step explanation:
Which expression is equivalent to -9a-10-6a+7−9a−10−6a+7
Answer:
−30a−6
Step-by-step explanation:
Let's simplify step-by-step.
−9a−10−6a+7−9a−10−6a+7
=−9a+−10+−6a+7+−9a+−10+−6a+7
Combine Like Terms:
=−9a+−10+−6a+7+−9a+−10+−6a+7
=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)
=−30a+−6
BRAINLIEST. if you don't mind.
3.
What is the slope of the equation?
y=-3x + 4
a) -3
b) 3
c)4.
d) -4
Answer:
-3
Explanation :
slope intercept form
y=mx+b
y= -3x+4
slope is also m
b is the y-intercept
What is the slope of the line that passes through the points (-3, -3) and (-9, 5) Write your answer in simplest form.
Step-by-step explanation:
The slope of the line is -4/3.
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack. The weight of the blue marlin way 12 times as great of the amberjack. The combined weight of both fish was 273 pounds. How much did each fish weight
Answer:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
Step-by-step explanation:
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack.
Let
The weight of the blue marlin = b
The weight of the amber jack = a
The weight of the blue marlin weigh 12 times as that of the amberjack.
b= 12a
The combined weight of both fish was 273 pounds.
= a + b = 273 pounds
b = 12a
Hence
a + 12a = 273 pounds
13a = 273 pounds
a = 273 pounds/13
a = 21 pounds
b = 12a
b = 12 × 21 pounds
= 252 pounds
Hence:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
Solve for x. 5x - 29> -34 OR 2x +31 < 29
Answer:
x > -1 or x < -1
Step-by-step explanation:
In this question, you would solve the inequalities.
Solve:
Inequality 1:
5x - 29> -34
Add 29 to both sides
5x > -5
Divide both sides by 5
x > -1
Inequality 2:
2x +31 < 29
Subtract 31 from both sides
2x < -2
Divide both sides by 2
x < -1
Your answer would be: x > -1 or x < -1
I dont understand area and perimeter
Answer:
my hand writing is sloppy hope it helps tho
Step-by-step explanation:
For the equation y = 2.5X, choose which ordered pairs would be on the line if it was graphed? Select ALL that apply.
(0, 0) and (-4, -10)
(1, 3.5) and (2, 5)
(1, 2.5) and (3, 6.5)
(-1, -2.5)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
9. Which of these relations is a function?
Answer:
the answer is b
Step-by-step explanation:
An isosceles triangle has an angle that measures 50° which other angles could be in that isosceles triangle
Answer:
50 and 80 or 65 and 65
Step-by-step explanation:
two angles in an isosceles are the same.
Im confused... what do I do this?? (Just 14 btw) thank youuuuu
Answer:
1=-1/5 2=11/20 3=149/25
Step-by-step explanation:
I get it you have to put the number into your calculator then turn it into a fraction
hop this helps
-mercury
Answer:
11/20
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 100 then, reduce the fraction.
1/4(B-16)=7
Help pleasseee
B=44 i would show my work but i cant take pictures on this school laptop
1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points
function. Use SQRT to indicate square root and use parenthesis for
fractions. Example: 9-1(x)=SQRT{(x-2)/3)-6 *
g(x) = 2(x – 3)2 + 4
Your answer
Answer:
g-1(x)=SQRT{(x-4)/2} + 4
Step-by-step explanation:
I assume that the 2 is the exponent so ^ represents exponent
We know your function is g(x)=2(x-3)^2+4
For inverse functions we swap x and y values, note g(x) is like the y value
Isolate for y
y=2(x-3)^2+4
x=2(y-3)^2+4
(x-4)/2 = (y-3)^2
SQRT{(x-4)/2} + 4 = y
Therefore g-1(x)=SQRT{(x-4)/2} + 4
help me answer this please!!!
Answer:
Step-by-step explanation:
20 + 20 + x = 180
x = 140
Answer:
140° ?
Step-by-step explanation:
Since Angle CAD is 20°, and CEA is 180°. Angle CED has to equal to 20°. I added angle CAD to CED and got 40°. Then I subtracted 40 from 180 and got 140 °.
Hope this Helps!!!
The measures of the angles of a triangle are shown in the figure below. Solve for x. 4
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
Y-4=3(x - 1)
Identify slope
and what is an “anchor point”
(2+3i)(1-2i)
What is the product of the complex number
Answer:
(2+3i)(1-2i) = (8-i)
Step-by-step explanation:
The given complex number is :
Z = (2+3i)(1-2i)
We need to find the product of the complex number
[tex]Z=2(1)+2(-2i)+3i(1)-6i^2\\\\=2-4i+3i-6i^2[/tex]
We know that, [tex]i^2=-1[/tex]
[tex]Z=2-i-6(-1)\\\\=2-i+6\\\\=8-i[/tex]
Hence, the product of the complex number is (8-i).
Idk if someone wants to help to solve this but- it’s worth a try I think it’s 15 points or so and I’ll mark brainliest to first person who answers !
Answer:
Part 3: 9 Dogs
Step-by-step explanation:
It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs
And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D
Please help me! Brainliest + 15 pts!
A piano tuner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the Piano tuner charges for 4 hours of work?
A: x/4 = 1.5/63
B: x/63 = 3.5/2.5
C: x/63 = 1.5/4
D: x/4 = 63/1.5
Please answer correctly and thanks! :)
Answer:
I think it is D , but if it not plz forgive me
Answer:
d
Step-by-step explanation: