The zero of the function is for x = 0. Put the value of x to the equation
y = -7x + 8:
<em>subtract 8 from both sides</em>
<em>divide both sides by (-7)</em>

Answer:
slope = 11/2
Step-by-step explanation:
If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.
Point 1: (-4, 7) Point 2: (-6, -4)
x₁ = -4 x₂ = -6
y₁ = 7 y₂ = -4
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
7 - (-4) = m(-4 - (-6)) <----- Insert values
11 = m(2) <----- Simplify
11/2 = m <----- Divide both sides by 2
The midpoint between the two points is (-6,4)
Answer:
Notebooks cost $2.75 and pens cost $1.10.
He can also buy 3 notebooks.
Step-by-step explanation:
In order to find this, we need to create two equations given each of the situations.
3n + 2p = 10.45
4n + 6p = 17.60
Now to solve for n, multiply the top equation by -3 and add together.
-9n - 6p = -31.35
4n + 6p = 17.60
----------------------
-5n = -13.75
n = 2.75
Now that we have the value of notebooks, we can find the amount for pens using either equation.
3n + 2p = 10.45
3(2.75) + 2p = 10.45
8.25 + 2p = 10.45
2p = 2.20
p = 1.10
Finally, to find the number of notebooks that he can purchase, find the cost of a notebook with 3 pens.
n + 3p
2.75 + 3(1.10)
2.75 + 3.30
6.05
Now divide 22 by that number
22/6.05 = 3.63
Since we can't have fractional notebooks, we round down to 3.
The expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
- The function is h(x) = -0.3( x - 8)² +7.5
Now from the question when the boy jumped from a certain height he lands 8 feet farther away this condition will be expressed in the expression as follows:-
h(x) = -0.3( x - 8)² +7.5
Put x = 8 feet as
h(8) = -0.3(8-5)²+7.5
h(8) = -0.3 ( 3 )² + 7.5
h(8) = -2.7 + 9
h( 8 ) = 6.3 feet
Therefore expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.
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