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3 years ago

9

The diagram below shows the floor plan of Lyza’s home. If she decided to carpet the entire home, what would it cost if the carpe

t is $8.50 per square feet?

1 answer:

Maurinko [17]3 years ago

6 0

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What is the value of -<br> -X2 - 4x – 11 if x = -3?

qaws [65]

The answer to this question is -8

3 0

3 years ago

Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}

marysya [2.9K]

Answer:

The range of the function is $R=\{17, 5, 1\}$ .

Step-by-step explanation:

Let $f(x) = -x^{3}+x^{2}+5$ . From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:

x = -2

$f(-2) = -(-2)^{3}+(-2)^{2}+5$

$f(-2) = 8+4+5$

$f(-2) = 17$

x = -1

$f(-1) = -(-1)^{3}+(-1)^{2}+5$

$f(-1) = 1-1+5$

$f(-1) = 5$

x = 2

$f(2) = -(2)^{3}+(2)^{2}+5$

$f(2) = -8+4+5$

$f(2) = 1$

The range of the function is $R=\{17, 5, 1\}$ .

6 0

3 years ago

Translate this sentence into an equation.

ra1l [238]

Answer:

24+m=47

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

What are the prime numbers up until 100

Setler [38]

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97

5 0

4 years ago

What is the value of x in the isosceles trapezoid below

Nookie1986 [14]

Answer:

D. 13

Step-by-step explanation:

From the diagram, $\angle BAD=2x\degree$ and $\angle BCD=(10x+24)\degree$

In an isosceles trapezium, the base angles are equal.

This implies that $\angle ABC=\angle BAD$ $\implies \angle ABC=2x\degree$

The side length CB of the trapezoid is a transversal line because <em>CD is parallel to AB</em>.

This means that $\angle ABC=2x\degree$ and $\angle BCD=(10x+24)\degree$ are co-interior angles.

Since co-interior angles are supplementary, we write and solve the following equation for $x$ .

$2x\degree+(10x+24)\degree=180\degree$

Group similar terms

$2x+10x=180-24$

Simplify both sides of the equation.

$12x=156$

Divide both sides by 12

$\frac{12x}{12}=\frac{156}{12}$

$\therefore x=13$

The correct answer is D.

8 0

3 years ago