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3 years ago

Combine the like terms to make a similar expression 2q+2+9

Mathematics

1 answer:

Ede4ka [16]3 years ago

8 0

Add the 2 and 9 together:
2q+11

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Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti

Elodia [21]

The inverse of the function f(x) = 4(x-3)² + 2 is $f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

The given function is:

f(x) = 4(x - 3)² + 2

To find the inverse of the function:

Make x as the subject of the formula

$4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3$

Replace x by $f^{-1}(x)$ and replace f(x) by x

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Therefore, the inverse of the function is:

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Learn more here: brainly.com/question/17285960

4 0

1 year ago

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

expeople1 [14]

The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$

Read more about probabilities at:

brainly.com/question/7965468

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2 years ago

2 ( 3 x 4) - 10 + 14/2 = 21<br><br> true or false

larisa86 [58]

Answer:

true

Step-by-step explanation:

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2 years ago

Karen wanted to measure the height of her school's flagpole. She placed a mirror on the ground 44 ft from the flagpole, and then

Shalnov [3]

Answer:140

Step-by-step explanation:

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2 years ago

X^2 + 8x + c<br> What is c ?

katrin [286]

Answer:

C is a constant ( a value that doesn't change)

Step-by-step explanation:

for example (X^2), here x is a variable with an exponent. (8x), here 8 is a coefficient. making c a constant.

8 0

2 years ago