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Keith_Richards [23]

3 years ago

15

What is the inverse of the function f(x) = 2x – 10?

1 answer:

Georgia [21]3 years ago

6 0

Steps to finding the inverse:
1. Replace f(x) with y.
2. Swap x and y.
3. Solve the equation for y.

f(x) = 2x - 10
1. y = 2x - 10
2. x = 2y - 10
3. Add 10 to both sides
x + 10 = 2y
Divide both sides by 2
(x + 10)/2 = y
y = (x + 10)/2
f^-1(x) = (x + 10)/2

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Answer:

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Step-by-step explanation:

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Pete is 4 times the age of Myrtle. 2 years ago, Pete was 8 times as old as Myrtle. How old are they?

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3 years ago

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

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2 years ago

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ILL MARK BRAINLIEST!!! PLEASE HELP!

eduard

Answer:

The quadratic equation is X^2 -26X +144=0

Step-by-step explanation:

You can do it shortly by using the formula

X^2-(sum)x+ product

which will give you

X^2- (8+18)x+8×18

=X^2 -26x +144

=X^2 -8x-18x + 144

=(X^2-8x)(-18x+144)

=X(X-8)-18(x-8)=0

(X-18)(X-8)=0

X-18=0 And X-8=0

X=18 X=8

. Therefore the quadratic equation is X^2 -26X +144

3 0

3 years ago

a recipe that make 10 mini loaves of banana bread calls for 1 1/4 cups flour . how much flour is needed to make 2 dozens mini lo

asambeis [7]

Answer:

0.25 or 1/4

Step-by-step explanation:

2 x 1 1/4 = 2 x 1.25 = 2.5 or 2 1/2

2.5 divided by 10 = 1/4 or 0.25

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3 years ago