Answer:
The y-intercept of points A and B is -2.
Step-by-step explanation:
Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.
Hope this helps!
-Luna
Answer:
-2
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.
1) Find the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (3,0)
[tex]m=\frac{0-(-2)}{3-0}\\m=\frac{0+2}{3}\\m=\frac{2}{3}[/tex]
Therefore, the slope of of the line is [tex]\frac{2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept (b)
[tex]y=\frac{2}{3} x+b[/tex]
Plug in one of the given points: (0,-2) or (3,0)
[tex]0=\frac{2}{3} (3)+b\\0=2+b\\b=-2[/tex]
Therefore, the y-intercept of the line AB is -2.
I hope this helps!
Grace and her brother need $400 to go to band camp. Their parents have agreed to help them earn money by paying them $25 each time they mow the lawn and $10 for each hour they babysit their younger brother. They will have to do a combination of both chores to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
M. 10m+ 25b= 400
P. 10m− 25b= 400
R. 25m+ 10b= 400
S. 25m− 10b= 400
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours
Using the values from above, we can set up the equation as:
400 = 25m + 10b
it's all on the picture
Answer:
y = 54
Step-by-step explanation:
45 = y - 9
+9 +9
54 = y
y= 54
Maya babysits for $8 per hour. She also works at her family’s restaurant for $10 per hour. She is only allowed to work for a total of up to 16 hours each week. She wants to make at least $130 each week. This can be modeled by the graph.
Which of the following are possible combinations of work hours? Select all that apply.
0 hours babysitting; 13 hours at the restaurant
1 hour babysitting; 14 hours at the restaurant
20 hours babysitting; 10 hours at the restaurant
5 hours babysitting; 6 hours at the restaurant
14 hours babysitting; 1 hour at the restaurant
Answer:
1 hour babysitting and 14 restaurant
A teacher takes her nephew shopping. She tells her nephew that they can spend x dollars knowing
that 16x = 641.6.
What operation does the nephew need to use to find how much money they can spend?
Choose the correct answer below:
A.Addition
B. Division
C. Multiplication
D. Subtraction
Answer:
division
Step-by-step explanation:
division so as to find the value of x
Pythagorean Theorem
Riley owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18
yards wide. If she walks across the diagonal length of the orchard, how much distance
would she cover?
Answer:
40.25 yds to the the nearest 100th
Step-by-step explanation:
The diagonal forms a right triangle with the length and width.
The diagonal is the hypotenuse
So, let d = the diagonal distance
[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]
= 324 + 1296
= 1620
d = [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th
Please help. “describe the transformation that, when applied to the graph of y=cos x, the result in the graph of y = - 2 cos ( 1 /8 ( x - π /3 ) ] + 1”
Answer:0
Step-by-step explanation:
-1
Which of the following statements is true?
A regular pentagon always has all the properties of a pentagon
A quadrilateral never has all the properties of a parallelogram
A right triangle sometimes has all the properties of a triangle
A regular hexagon never has all the properties of a hexagon
Answer:
Step-by-step explanation:
Option C a right triangle is the correct answer
You and your friends are going to the annual Boatnik Fair to play games and ride the rides. You are going there with $20, which is unfortunately not enough for a wristband. If every carnival-style game costs $3, and every ride costs $2, how many rides can you go on if you want to play 4 carnival games? What about if you play just 2 carnival games?
Problem 1. Find the total volume of both shapes. (add)
Radius 2 in
Height
6 in
Height 2 in
Length 4 in Width 1 in
HELP PLEASE
Answer:36 inches^3
Step-by-step explanation:don't know how to explain it
To the nearest hundreth, what is the length of line segment AB?
1.) 2.45
2.) 2.16
3.) 7.75
4.) 8.25
Answer:
option (4)
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+2^2}[/tex]
= [tex]\sqrt{64+4}[/tex]
= [tex]\sqrt{68}[/tex]
≈ 8.25 ( to 2 dec. places )
Which of the following is the graph of y = -(x-2)^3
-5?
can someone please help me with this question?
Answer:
30 in^3
Step-by-step explanation:
Radius = 1/2 D; 2/2 = 1
(3)(1^2)(10) = 30
Order the numbers from least to greatest.
23% , 1/4 , 0.225 .
Need help need help
Help me out, math is irritating
Answer:
67958.93228
Step-by-step explanation:
What is the image of (-5,-6) after a reflection over the line y=−x?
Answer:
The image will be the point (6,5)
Step-by-step explanation:
Here, we want to get the image of the point (-5,-6) after the reflection
Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)
So, (-5,-6) becomes (6,5)
PLS HELP I WILL MARK BRAINLIEST!!
You want to take some of your friends to see a movie Movie tickets cost $9 at the local theatre. You will purchase a bucket of popcorn for $7.50. How many friends can you take if you spend at most $79.50. Write the inequality and solve it.
Answer: 8 friends
Step-by-step explanation: 79.5-7.50 72
72/9 8
What is a number that when
you add 5 to it and then multiply
the sum by 3 will equal 27?
Answer:
4
Step-by-step explanation:
find the solution to the system of equations.
Please Help ASAP 20pts
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4. The area of the resulting triangle is ___ square cm.
Answer:
640 cm ^2
Step-by-step explanation:
40x4x4 = 640
let's say b = 20 and h = 4
1/2(20)(4) = 40
scale by 4
b= 80 h = 16
1/2(80)(16) = 640
Guys pls help me!!!!!!
How much tax, in dollars, did Andrea pay for each song? There are 85 songs, each one costs 1.09 plus tax, and the total is $96.90
Answer:
$4.25 tax
Step-by-step explanation:
[tex]85 \times 1.09 + x = 96.90[/tex]
[tex]x = 4.25[/tex]
The radius of a circle is 15 cm, what is the area of this circle?
Answer:
706.86
Step-by-step explanation:
have a good day! :D
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
ΔX = -1 – 2 = -3
ΔY = -4 – 2 = -6
-6 divided by -3=2
Hope it helps ;)
Step-by-step explanation:
[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]
even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.
#CMIIWan article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%
Answer:
Loss= $175
Loss %= 7%
Step-by-step explanation:
First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175
To find the percentage you do the difference over the original amount
So 175/2500 which will give you 0.07
0.07 x 100 will give you 7%
Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?
Answer:
$8000
Step-by-step explanation:
Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.
Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.
To find: Gale's net worth
Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.
Firstly, calculate the total amount of assets by adding them together;
Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =
$9,500 + $7,400 + $6,000 + $3200 =$26,100
Secondly, calculate the Liabilities by adding them together;
Car loan + Student loan =
$7,400 + $6,000 = $13,400
Then, calculate the Intangible Assets by adding them together;
Savings account + The balance on her credit card =
$1500 + $3200 = $4700
Finally, subtract the total amounts;
$26,100 - $13,400 - $4700 = $8000
(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)
A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
please help :(
Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Step-by-step explanation:
What is the probability of choosing a pen from the first box? It is 5/8.
What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.
The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Mathhhhhhhhhhh which one is correct
Answer:
slope = 4
y intercept = -3
Step-by-step explanation:
The equation is put in slope intercept form
Slope intercept form: y = mx + b
where m = slope and b = y intercept
looking at slope intercept form
4 is located where m should be , meaning that the slope is equal to 4 and
-3 is located where b should be , meaning that the y intercept is -3
Therefore the answers are the first and last option choices.
Help me with this question
Answer:
B is the answer
Step-by-step explanation:
Is that all the questions you need help with
Mary had to guess at a chosen number between 1 and 10, to get to be the first in line. What’s the probability that she’ll choose the correct number?
Answer:
1 in 10, or 10% because there is a 90% chance she will choose the wrong number.
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
1-10 is 10 numbers, only one of which is the correct one.
The resulting proportion is:
[tex]\frac{1}{10}[/tex]