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oee [108]
3 years ago
7

Simplify

20-%20%287x%20%2B%203%29" id="TexFormula1" title="(x^{2} + 3x - 4) + (4^{2} - 5) - (7x + 3)" alt="(x^{2} + 3x - 4) + (4^{2} - 5) - (7x + 3)" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

First you want to drop the parenthesis. If there is a “+” sign, you do not have to change anything. If there is a “-“ sign, you have to distribute the negative in order to simplify, so imagine you are distributing -1 to 7x + 3 to make it -7x -3.

So, you now have x^2 + 3x - 4 + 16 -5 - 7x -3. (I evaluated the 4^2 to 16)

Now, what you want to do now is to combine like terms. Notice that there is only one x^2, so it is the same. There are two terms that have “x”. 3x and -7x react like normal numbers and they form -4x. The numbers who don’t have x on them you combine like terms.

Answer is x^2 - 4x - 12

xxTIMURxx [149]3 years ago
3 0

X^2-4x+4 is the answer, to save you points next time, use an app called M8thw8y

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Lena [83]

Answer:

Since the calculated z=40  falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.

Step-by-step explanation:

The national average is 17% .The z proportional hypothesis test is used.

1) Let the null and alternate hypothesis be

H0: p =0.17

against the claim

Ha: p ≠ 0.17

Choose the significance level ∝= 0.05

The critical region is z > 1.96  and Z <- 1.96 because  it is two tailed test.

Computing

z= p^-p / sqrt [pq/n]

Z= 0.22-0.17/ √0.17*(1- 0.17)/90147

z= 39.965

Since the calculated z=40  falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.

3 0
3 years ago
find the length of the line segment with end points (7,2) and (-4,2) explain how you arrived at your solution
Inga [223]

Answer:

<h2>11 units</h2>

Step-by-step explanation:

Method 1:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (7, 2) and (-4, 2). Substitute:

d=\sqrt{(2-2)^2+(-4-7)^2}=\sqrt{0^2+(-11)^2}=\sqrt{11^2}=11

Method 2:

Look at the picture. Mark points in the coordinate system.

Read the length of the segment.

6 0
3 years ago
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andrew-mc [135]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest
Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting I=160,r=5,t=4 in the above formula, we get

160=\dfrac{P\times 5\times 4}{100}

160=\dfrac{20P}{100}

160=\dfrac{P}{5}

Multiply both sides by 5.

800=P

Therefore, Austin borrowed $800 from a credit union for 4 years.

8 0
3 years ago
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Viktor [21]

Answer:

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m = -4

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2 = -4(-6) + b

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b = -22

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