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erma4kov [3.2K]
3 years ago
12

In the following equation, when x=3, what is the value of y? -4x + 3y = 12

Mathematics
2 answers:
deff fn [24]3 years ago
4 0

Answer:

y = 8

Step-by-step explanation:

-4(3) = -12

to get -12 to 12 you need to add 24 to -12 to make it 12.

so 3 (8) = 24

so -12 + 24 =12

Maslowich3 years ago
4 0

[|] Answer [|]

\boxed{Y \ = \ 8}

[|] Explanation [|]

-4x + 3y = 12

Substitute 3 For X:

-4 * 3 + 3y = 12

Multiply The Numbers:

4 * 3 = 12

-12 + 3y = 12

Add 12 To Both Sides:

-12 + 3y + 12 = 12 + 12

Simplify:

3y = 24

3y/3 = 24/3

24 / 3 = 8

Y = 8

\boxed{[|] \ Eclipsed \ [|]}

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Alex73 [517]
There is no distance since they are the same exact number.
4 0
3 years ago
Which of the following could be used to calculate the area of a sector in the circle shown below
lara [203]

Answer:

Therefore the Last option is correct

\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})

Step-by-step explanation:

Given:

Radius = r = 8 in

θ = 42°

To Find:

Area of Sector = ?

Solution:

We know that

\textrm{Area of Sector}=\pi (Radius)^{2}\times \frac{\theta}{360}

Substituting the given values in the formula we get

\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})

Which is the required Answer.

Therefore the Last option is correct

\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})

8 0
2 years ago
An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

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

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
How to find the multiplicity of a zero of a polynomial function?
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<span>The multiplicity of a zero of a polynomial function is how many times a particular number is a zero for a given polynomial.

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Although this polynomial has only three zeros, we say that it has six zeros (or degree of 6) counting the <span>multiplicities.</span></span>
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What is the order of steps to calculate the volume of prime?
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Answer

V= Base x Height x Width

Step-by-step explanation:

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2 years ago
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