What is the function rule for the line?
f(x)=−32x+2
f(x)=−32x−2
f(x)=32x−2
f(x)=−23x−2
To find the function rule for the line ,
we pick two points from the graph
Lets pick (-2,1) and (0,-2)
We find the slope using two given points
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
(-2,1) is (x1,y1) and (0,-2) is (x2,y2)
Plug in the values in the slope formula
[tex]slope = \frac{-2 - 1}{0 - (-2)}[/tex]
[tex]slope = \frac{-3}{2}[/tex]
To frame equation we use equation y = mx + b
Here y intercept is -2 that is our b
So equation becomes [tex]y=\frac{-3}{2} x -2[/tex]
Answer:
The answer is f(x) = -3/2x - 2
good luck!
when two pieces of rope are laid end to end they measure 40 meters. one is 10 meters longer than the other. how long is each piece of rope.
40-10=30
30/2 = 15
one is 15 meters
the other is 25 meters
40-10=30
30/2 = 15
One of them is 15 meters and the other is 25 meters.
rationalize the denominator of square root -36 over (2-3i)+(3+2i)
Sorry for such a late response, but for future reference the answer is b -6 + 30I OVER 26 is the correct answer
A cube has edge length 5in use a exponent to express volume
Please help ASAP with this Problem.
marta put $4.87 in her Coin bank
Simplify √-48
Choices:
-4√3
4√-3
4i√3
4√3i
Find an equivalent mixed number for the decimal number. 2.64
Find the midpoint of QP
The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?
Month 6
Month 5
Month 4
Month 3
triangles ABC and DEF are similar. what is the length of side EF
Answer:
The length of the side EF is 3cm.
Step-by-step explanation:
As both triangles are similar, their corresponding sides are in proportion.
This means that:
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}[/tex]
This proportion is called the scale factor.
Knowing this, we can find the value of x
[tex]\frac{3}{4.5}=\frac{2}{x}[/tex]
[tex]x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm[/tex]
So, the lenght of side EF is 3cm.
florence purchased stock for $20 per share. After 6 days, the stock is worth $32 per share. What integer represents the average increase in stock value each day? Show your work.
express f (x) = |x-5| as a piecewise defined function
graph 7x-4y=-8 and x+2y=-14
How many 2/5 pound servings are in a 1/4 of a bag of candy?
10 POINTA HELP FAST! Liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
A. 2 1/2
B. 3
C. 3 1/2
D.5
Answer:
At the end of the 5 days week, the number cups of oatmeal left are 59/18.
Step-by-step explanation:
Given that the container has 5 and half or 11/2 cup of oatmeal. Every morning Liam at 4/9 cups of oatmeal and this took place for 5 days. So, multiply it with 5. The total cups of oatmeal for 5 days will be 20/9.
The cups of oatmeal left after 5 days are
(11 / 2) - (20 / 9)
(99 - 40) / 18
59 / 18
So, 59/18 number of cups of oatmeal are left at the end of 5 days.
For more explanation, refer the following link:
https://brainly.com/question/3796978
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Answer:
Its c
Step-by-step explanation:
can every odd whole number be written as the difference of two squares
Every odd whole number can indeed be written as the difference of two squares, leveraging the fact that the difference between the squares of consecutive integers is an odd number.
The question whether every odd whole number can be written as the difference of two squares is of arithmetical and algebraic interest. The answer is yes, every odd whole number can be expressed as such. For example, consider the odd whole number 7. This number can be expressed as 4^2 - 3^2, which simplifies to 16 - 9, giving us 7. Generally, for any odd whole number n, we can find whole numbers x and y such that n = x^2 - y^2. This is because we can write n = (m+1)^2 - m^2, where m is an integer. Essentially, m can be taken as (n-1)/2 which ensures that m and m+1 are consecutive integers, hence their squares differ by an odd number, which is n.
Reduce the fraction to lowest terms
y+5/2y+10
The short sides 6cm The long sides twice the short size what is the perimeter
Dario’s school has rented several buses to take students on their field trip to visit the Science Museum in the neighboring town. Each bus can hold 64 people, including the bus driver. The driver said that the museum is 153.82 miles away from school. A total of 360 students, teachers and chaperones are going on the trip. A total of six buses were rented for this field trip. The bus company charges $0.645 per mile, per bus. What will the total bus cost for this trip (rounded to the nearest cent)?
Match each point with one of the following fractions: 5/6, 7/12, 1/8, 5/16
Which statements about opposites are true?
Select each correct answer.
The opposite of a number is always a negative number.
The opposite of the opposite of a number is the number itself.
A non-zero number and its opposite are located on opposite sides of zero on a number line.
The opposite of a number is 1 divided by that number.
The opposite of a number is the same distance from zero on the number line but on the other side. Therefore, the opposite of a number is not always negative, the opposite of the opposite of a number is the number itself, and non-zero numbers and their opposites are on opposite sides of zero. The reciprocal of a number (1 divided by that number) is not its opposite.
Explanation:In the realm of mathematics, the term 'opposite' refers to the number that is the same distance from 0 on the number line, but on the other side. With this definition, we can state that:
The opposite of a number is not always a negative number. For example, the opposite of -7 is 7, which is positive.The opposite of the opposite of a number is indeed the number itself. For instance, the opposite of -3 is 3, and the opposite of 3 is -3.A non-zero number and its opposite are indeed located on opposite sides of zero on a number line.The opposite of a number is not 1 divided by that number - this is actually the reciprocal of a number, not its opposite.Learn more about Opposites in Mathematics here:https://brainly.com/question/36830748
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Between which two whole numbers is the square root of 18?
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verify
(a-5)(a+5)=a^2-25
(x-88)(x+88)=x^2-88^2
A^2-B^2=(a-b)(B-A)
SOLVE FOR X
X^2-9=5(x-3)
(w+2)(w-5)=w^2-4
solve
x^2-11x=0 for x
The square of a number plus 3 times the number is equal to four . What is the number.
is b factorable
x^2+bx+12
x^2-3x+b
what is the slope of a line that is parallel to the x-axis? m=
what is the slop of a line that is perpendicular to the x-axis? m=
what is the slop of a line that is parallel to the y-axis? m=
what is the slop of a line that is perpendicular to the y-axis? m=
what is halfway between positive 6900 and negative 8100?
In a taste test people were asked which of 4 soft drinks they liked best. of those surveyed 1/3 chose orange crush 2/5 chose killa kola and 1/6 chose lime sublime. what fraction chose the fourth drink pls show all work and answer
To find the fraction of people who chose the fourth drink, we subtract the fractions of people who chose the other three drinks from 1. The fraction is 3/30.
Explanation:To determine the fraction of people who chose the fourth drink, we need to subtract the fractions of people who chose the other three drinks from 1.
The fraction of people who chose Orange Crush is 1/3, the fraction of people who chose Killa Kola is 2/5, and the fraction of people who chose Lime Sublime is 1/6.
To find the fraction of people who chose the fourth drink, we subtract the sum of these three fractions from 1: 1 - 1/3 - 2/5 - 1/6.
To simplify this calculation, we can find a common denominator for the fractions. The least common multiple of 3, 5, and 6 is 30.
Converting the fractions to have a denominator of 30, we get: 30/30 - 10/30 - 12/30 - 5/30 = 3/30.
Therefore, the fraction of people who chose the fourth drink is 3/30.
what is the unit rate for a 10lb bag of cherries for $33.49
100 fl oz = _ C _ Fl oz
Jonathon borrowed $800 from his grandparents to start a lawn mowing business in his neighborhood.After mowing lawns for a month and paying his expenses, he was able to pay then $188.56. How much does Jonathan still owe his grandparentes
Answer:
You spelled grandparents wrong.
Step-by-step explanation: