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3 years ago

12

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

1 answer:

NISA [10]3 years ago

3 0

We are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A.

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A rectangle has a height of k^2+3k 2 +3k, squared, plus, 3 and a width of k^2+7k 2 +7k, squared, plus, 7. Express the area of th

vlada-n [284]

Answer: $k^4+10k^3+21k^2$

Step-by-step explanation:

Given

Height of rectangle is $h=k^2+3k$

Width is $w=k^2+7k$

The area of the rectangle is given by the multiplication of the height and width

$\Rightarrow A=\left(k^2+3k\right)\left(k^2+7k\right)\\\\\Rightarrow A=k^2k^2+k^2\cdot \:7k+3kk^2+3k\cdot \:7k\\\\\Rightarrow A=k^4+10k^3+21k^2$

Thus, the area of the rectangle is $k^4+10k^3+21k^2$ .

3 0

3 years ago

2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X'is 30 less than

dimulka [17.4K]

Answer:

The measure of angle x is 50 degrees

Step-by-step explanation:

we know that

$x+y=90$ ----> equation A

$x=2y-30$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$(2y-30)+y=90$

solve for y

$3y=90+30$

$3y=120$

$y=40^o$

Find the measure of angle x

$x=2(40)-30=50^o$

therefore

The measure of angle x is 50 degrees

5 0

3 years ago

Given that 4x:3 = 11:7 calculate x

Pani-rosa [81]

Answer: The answer is 33/28 or 1.17

If it's rounded it will be 1.18

Step-by-step explanation:

7 0

3 years ago

Given two functions f(x) and g(x): f(x)=4x^2+2, g(x)=3x+2 form a composition g(f(x))

9966 [12]

G(f(x)) = g ( 4x^2+2) = 3 (4x^2+2)+2
= 12x^2+6+2 = 12x^2+8

3 0

4 years ago

Billy works at a toy store. He put 1,573 new toys on a shelf. At the end of the day customers bought 862 of those toys. How many

Strike441 [17]

Answer:

Seven-Hundred and Eleven

Step-by-step explanation:

1. Take 1,573 and subtract how many the customer bought

2. You get your answer of: 711

<em>1,573</em>

<em>-862</em>

<em>_____</em>

<em>711</em>

4 0

3 years ago

Read 2 more answers