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tankabanditka [31]
3 years ago
7

Determine the solution to the system of equations by using substitution. Y=4x+10 Y=-5x-10

Mathematics
2 answers:
amm18123 years ago
7 0
Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9
kaheart [24]3 years ago
3 0
y=4x+10\\
y=-5x-10\\\\
4x+10=-5x-10\\
9x=-20\\
x=-\frac{20}{9}\\\\
y=4\cdot(-\frac{20}{9})+10\\
y=-\frac{80}{9}+\frac{90}{9}\\
y=\frac{10}{9}\\
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Five times the difference of a number and 2 is the same as 2 increased by five times the number plus twice the number. Find the
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Welcome to Brainly!

5(n-2) = 2+5n + 2n fits your equation.  After multiplication, we have

5x - 10 = 2 + 7n

Combining like terms, we get:

-12 = 2n, so that n = -6.


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Solve the inequality.<br><br>4x+6&lt;3x-5
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Answer:

4x+6<3x-5

4x+6 =3x-5

collect like terms

4x-3x =3x-5

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If two events are dependent on each other you have to multiply the probability of the first event times the probability of the second event. 
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The first event would be 7/21
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3 years ago
Place the indicated product in the proper location on the grid. (3x^2y^6)^7
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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the
Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of .

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

5 0
3 years ago
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