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Marina CMI [18]
4 years ago
14

2. Simplify the expression x^2+x-28/x^2-7x+12

Mathematics
1 answer:
tankabanditka [31]4 years ago
5 0
The answer is   x^4-6x^3+12x^2-28/x^2


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Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14
faltersainse [42]

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola y=x^2+9x+14

For x- intercept, y = 0

0=x^2+9x+14

We can split the middle term as 9x = 7x +2x

x^2+7x+2x+14=0

Now take GCF

x(x+7)+2(x+7)=0

Factored out the common term

(x+7)(x+2)=0

Apply the zero product property

(x+7)=0,(x+2)=0

Solve for x

x=-7,-2

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

4 0
4 years ago
PLEASE HELP ASAP! The interior angles of a triangle have measures 100°,(4y+25)degrees and (3y+20) degrees. What is the value of
erastova [34]

100°+(4y+25)+(3y+20)=180°

100+4y+25+3y+20=180

7y+145=180

7y=35

y=5

100°; 45°; 35°

7 0
3 years ago
X + 5 = -3^x + 4<br> A. X= -2.25<br> B. X= 3.75<br> C. X= -1.25<br> D. X= 1.25
Tamiku [17]
I think it is D the answer choose
7 0
3 years ago
Read 2 more answers
What is 44/3 as a whole or mixed number in simplest form.
Kay [80]

\dfrac{44}{3}=\dfrac{42+2}{3}=\dfrac{42}{3}+\dfrac{2}{3}=14+\dfrac{2}{3}=14\dfrac{2}{3}


you can use long division with Remainder (look at the picture).

\dfrac{44}{3}=44:3=14\ + R(2)=14\dfrac{2}{3}

8 0
3 years ago
Read 2 more answers
A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired. It is k
stepan [7]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By analyzing the given information, we have the following hypothesis:-

H_0:\mu\geq81\\\\H_a:\mu

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

Also, the  accuracy ratings of people in the general population are normally distributed.

Given : Sample size :  n=51 , since n>30 so we use z-test.

Sample mean : \overline{x}=79

Standard deviation : \sigma=\sqrt{20}\approx4.47

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{79-81}{\dfrac{4.47}{\sqrt{51}}}\\\\\Rightarrow\ z\approx-3.195

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.05}=1.645

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to accept that people are less able to identify emotions correctly when they are extremely tired .

3 0
3 years ago
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