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3 years ago

Write an equation of the direct variation that includes the given point (-8, -4)

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

<span>إذا قمت بإضافة كل هذا حتى تحصل على 7X و 3y للإحداثيات الخاصة بك</span>

True [87]3 years ago

4 0

Write an equation of the direct variation that includes the given point (-8, -4)
Direct variation is y= kx for some constant k

Find k using the point (-8,-4)

y=kx
(-4)=k(-8) substitution
-4/-8=k(-8/-8) division property
1/2=k

equation of direct variation is y=1/2k

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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

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3 years ago

Is the dolphin deeper than point C or point E?

Pepsi [2]

Point E is correct answer

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3 years ago

An estimator is preparing a bid for a home remodeling project. She has determined that the new garage needs 324 feet of 2 × 10

Fudgin [204]

Find area of lumber 2 x 10 = 20
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hope this helps

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3 years ago

Read 2 more answers

A recipe for cookies calls for 3 1/4 cups of sugar. Amy has already put in 3 1/9 cups. How many more cups does she need to put i

sammy [17]

So 3 and 1/4 is equal to 4/4+4/4+4/4+1/4=13/4

so she put in 3 and 1/9 or 9/9+9/9+9/9+1/9 or 28/9

28/9+x=13/4
13/4-28/9=x

so we convert so that the bottom numbers are the same

a short cut is 3 and 1/4+x=3 and 1/9
3 1/9+x=3 1/4
subtract 3 from both sides
1/9+x=1/4
subtract 1/4 from both sides
x=1/4-1/9
convert bottom number to same thing
1/9=4/36
1/4=9/36
x=9/36-4/36
x=5/36
5/36 cups

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3 years ago

Read 2 more answers

The attachment is below

OverLord2011 [107]

Answer:

B) 1) -10 2) 4

C) 1) 16 2)-178 3)-315 4) 144

Step-by-step explanation:

input the f(x) number wherever the x is.

For example B) 1)f(x)= -1; 9- -1 -6 times -1

9 + 1 -6(-1) = 10 + 6 = 16

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3 years ago