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artcher [175]
3 years ago
9

This is the result of solving an equation to find a value(s) for the variable(s) which make the equation true.

Mathematics
2 answers:
SOVA2 [1]3 years ago
6 0

Answer:

Step 1: Simplify both sides of the equation.

8−2(3−x)=4x+6

8+(−2)(3)+(−2)(−x)=4x+6(Distribute)

8+−6+2x=4x+6

(2x)+(8+−6)=4x+6(Combine Like Terms)

2x+2=4x+6

2x+2=4x+6

Step 2: Subtract 4x from both sides.

2x+2−4x=4x+6−4x

−2x+2=6

Step 3: Subtract 2 from both sides.

−2x+2−2=6−2

−2x=4

Step 4: Divide both sides by -2.

−2x

−2

=

4

−2

Step-by-step explanation:

balandron [24]3 years ago
3 0

Answer: it's Solution

Step-by-step explanation:

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If f(x)=-x^2+6x-1 and g(x) =3x^2-4x-1, find (f-g)(x)
asambeis [7]

Answer:


Step-by-step explanation:

Given,

f(x)=-x^{2} +6x-1\\g(x)=3x^{2} -4x-1

we know,

(f-g)(x)=f(x)-g(x)

So, here we get

(f-g)(x)

=f(x)-g(x)

=-x^{2} +6x-1-(3x^{2} -4x-1)

=-x^{2} +6x-1-3x^{2} +4x+1

=-x^{2}-3x^{2} +6x+4x-1+1

=-4x^{2} +10x

So, the answer is

-4x^{2} +10x

8 0
3 years ago
Read 2 more answers
Choose the missing step in the given solution to the inequality ?x ? 3 < 13 + 3x. (1 point) ?x ? 3 < 13 + 3x _____________
SSSSS [86.1K]

Answer:

Step-by-step explanation:

4x=542

7 0
3 years ago
he one‑sample t statistic from a sample of n = 23 observations for the two‑sided test of H 0 : μ = 15 versus H α : μ > 15 has
DedPeter [7]

Answer:

t = 2.24

The first step is calculate the degrees of freedom, on this case:  

df=n-1=23-1=22  

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

Step-by-step explanation:

Data given and notation  

\bar X represent the mean height for the sample  

s represent the sample standard deviation

n=23 sample size  

\mu_o =15 represent the value that we want to test

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

For this case the statistic is given:

t = 2.24

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=23-1=22  

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

5 0
3 years ago
Monica is building a 4ft sidewalk around her flower garden. Find the are of the sidewalk.
netineya [11]

Answer:

(20x30)= 600

that's the area of rectangular plot

3ft wide sidewalk means both +3 on left and +3 on right, also both +3 up and +3 down

which means u have to do 26x36=936

then subtract 

936-600=336 square feet

Step-by-step explanation:

6 0
4 years ago
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Which fraction is proportional to 1/3?<br><br> A. 3/1<br><br> B. 5/12<br><br> C. 2/6 <br><br> D. 5/9
faust18 [17]
C is the answer to your question
7 0
3 years ago
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