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4 years ago

2x + 3(x +3) + (x + 6)

Mathematics

1 answer:

Volgvan4 years ago

6 0

For this case we must simplify the following expression:

$2x + 3 (x + 3) + (x + 6)$

We apply distributive property to the terms within parentheses:

$2x + 3x + 9 + x + 6 =$

We add similar terms:

$2x + 3x + x + 9 + 6 =\\6x + 15$

Thus, the simplified expression is: $6x + 15$

Answer:

$6x + 15$

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What is the area of a triangle with a base of 15 1/4 inches and a height of 10 inches?

soldi70 [24.7K]

Area of the triangle is 76.25 in²

Step-by-step explanation:

Step 1: Find the area of the triangle with base = 15 1/4 in and height = 10 in

Area of the triangle = 1/2 × base × height

= 1/2 × 61/4 × 10 = 76.25 in²

3 0

3 years ago

1. Find the range of the function rule y = 5x – 2 for the domain.<br> (-5, -1, 0, 2, 10)

jeyben [28]

Range = (-27, -7, -2, 8, 48)

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3 years ago

Use the zero product property to solve the equation. (4k+5)(k+7)=0

Maru [420]

The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0

so

(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so

4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4

k+7=0
minus 7 both sides
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k=-5/4 or -7

7 0

4 years ago

Please answer this correctly

max2010maxim [7]

Answer:

Yellow model, 20%

Step-by-step explanation:

There are 25 rooms that are vacant, out of 125. This means that 20% of the rooms are vacant. The yellow model displays this correctly because the sections are 1/5 or 20% out of 125.

3 0

4 years ago

A campaign strategist wants to determine whether demographic shifts have caused a drop in allegiance to the Uniformian Party in

Bas_tet [7]

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.62\\\\H_a:\pi$

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369$

This test is a left-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z$

As the P-value (0.0855) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

6 0

3 years ago