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LuckyWell [14K]
1 year ago
5

What does the y-intercept mean? What does the x-intercept mean? Explain what each intercept means and then Identify the x-interc

ept and y-intercept from each equation.A. y=7/2x -2B. x=-3
Mathematics
1 answer:
irinina [24]1 year ago
3 0

x intercept = where the function crosses the x axis (x,0)

y intercept = where the function crosses the y-axis (0,y)

A. y=7/2x-2

x intercept , replace y by 0 and solve for x:

0 =7/2x-2

2= 7/2 x

2 / (7/2) = x

x= 4/7

y-intercept, replace x by 0 and solve for y

y= 7/2x-2

y= 7/2 (0) -2

y=-2

B.

x-intercept:

x=-3

y-intercept

0=-3

It doesn't have a y-intercept.

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lapo4ka [179]
Answer:

1.89

Solution:

We have -44x - 86 = -3

First, we move the non x terms to the RHS of the equation. To do this, we add 86 to both sides.

Note: if a = b, then a + c = b + c
Therefore, -44x - 86 + 86 = -3 + 86

or, -44x = 83

Next, divide both sides by -44, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c
-44x
-44
=
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-44

or, x = -1.89


Explaination:

This is right I guess
4 0
2 years ago
Find the equation of the line with slope = 6 and passing through (6,43). Write your equation in the form y = m x + b .
gayaneshka [121]

Answer:

y = 6x + 7.

Step-by-step explanation:

Using the point-slope form of a line

y - y1 = m(x - x1)

m = 6, x1 = 6 and y1 = 43:

y - 43 = 6(x - 6)

y - 43 = 6x - 36

y = 6x - 36 + 43

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5 0
3 years ago
5. Michael wants to place grass on the sides of his
Elden [556K]

Area of the shaded region to be covered with grass is 204 yd²

Step-by-step explanation:

  • Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.

Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them

Sum of parallel sides = 25 yd + (3 + 12) = 40 yd

Distance between them = 12 yd

⇒ Total area = 1/2 × 40 × 12 = 240 yd²

  • Step 2: Find the area of the lap pool.

Area = length × width = 12 × 3 = 36 yd²

  • Step 3: Find the area of the shaded region

Area to be covered with grass = 240 - 36 = 204 yd²

6 0
3 years ago
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olga_2 [115]

Answer:

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Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

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Step-by-step explanation:

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