Find the area of the shaded region.

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

5x^2+28x+21

Step-by-step explanation:

First you want to find the area of the white rectangle
Then find the area of the beings rectangle
Then subtract beings minus white.

Hope it answers your question:)

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What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function $f(x)=|x+2|+4$ and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:

$f|x-h|=\text{Graph shifted to right by h units}$

$f|x+h|=\text{ Graph shifted to left by h units}$

$f|x|+h=\text{ Graph shifted upward by h units}$

$f|x|-h=\text{ Graph shifted down by h units}$

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

$f(x)=|x--2|+4$

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

4 0

3 years ago

Read 2 more answers

estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Vilka [71]

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

$38$ x $10^{-3}$