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3 years ago

9

Write the equation of the line fully simplified slope-intercept form.

1 answer:

mixer [17]3 years ago

3 0

Answer:

y = -x + 8

Step-by-step explanation:

The equation can be written as;

y = mx + b

where b is the y-intercept

From the diagram , b= 8

y = mx + 8

To get m, substitute (8,0 ) into the equation

0 = 8x + 8

x = -8/8

x = -1

So the full equation is;

y = -x + 8

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Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}

marysya [2.9K]

Answer:

The range of the function is $R=\{17, 5, 1\}$ .

Step-by-step explanation:

Let $f(x) = -x^{3}+x^{2}+5$ . From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:

x = -2

$f(-2) = -(-2)^{3}+(-2)^{2}+5$

$f(-2) = 8+4+5$

$f(-2) = 17$

x = -1

$f(-1) = -(-1)^{3}+(-1)^{2}+5$

$f(-1) = 1-1+5$

$f(-1) = 5$

x = 2

$f(2) = -(2)^{3}+(2)^{2}+5$

$f(2) = -8+4+5$

$f(2) = 1$

The range of the function is $R=\{17, 5, 1\}$ .

6 0

3 years ago

The price of a car is usally £12,500 it is reduce to £11,625 what is the percentage of the reduction

irina [24]

12,500-11,625=875

1%=125

10%=1250

5%=625

625+125=750=6%

750+125=875=7%

so the percentage is 7%

6 0

3 years ago

Please help and show work!!

Sergio [31]

A(-2, 2), B(4, 2), C(-6, -1), D(0, -1)

AB = CD = 4 - (-2) = 4 + 2 = 6

BD = AC. Use the formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points B and D:

$d=\sqrt{(-1-2)62+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

BD = AC = 5

The perimeter of parallelogram ABCD:

P = 2 · 6 + 2 · 5 = 12 + 10 = 22

<h3>Answer: a. 22 units.</h3>

6 0

3 years ago

Cuales son los divisores de 12

Serga [27]

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Classify the following triangle. Check all that apply.

Tems11 [23]

Answer:

This triangle is A, Scalene and E, Obtuse.

Step-by-step explanation:

- it is scalene because the lengths of all of its sides are different

- it is obtuse because it has an angle bigger than 90 degrees.

Hope this helps!

5 0

3 years ago

Read 2 more answers