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lina2011 [118]
3 years ago
9

What is the inverse of the functiob f(x)=1/4x-12

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0
Replace the f(x) with y and proceed to make x the subject:
y=1/4x-12
y+12=1/4x
To ÷1/4 on both sides, ×4 on both sides
4(y+12)=x
4y+48=x
Now swap y with x and replace the isolated x with f(x) to get the inverse function:
{f}^{ - 1}(x) = 4x + 48
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What are the intercepts of 2x+5y-4z=40
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So the following simple equations need to be solved:
2x = 40
5y = 40
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It intercepts x-axis at coordinates (20;0;0), y-axis at (0;8;0) and z-axis at (0;0;-10).
7 0
3 years ago
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A line has a slope of and a y-intercept of −5.
Luden [163]
Answer choice A is incorrect as it is missing the variable 'x' in it.

Let's test answer choice B.

y = mx + b

m is the slope
b is the y-intercept

m = 2/3
b = -5

y = (2/3)x - 5

B is one of the answers.

Let's test answer choice C.

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y = (4/6)x - 30/6
y = (2/3)x - 5

Answer choice C is also correct.

Let's test answer choice D now.

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Your answer is B, C and D.
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3 years ago
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The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 900 v
Aleks04 [339]

Answer:

P-value = 0.0367

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.42\\\\H_a:\pi>0.42

The sample has a size n=900.

The sample proportion is p=0.45.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.42*0.58}{900}}\\\\\\ \sigma_p=\sqrt{0.000271}=0.016

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.45-0.42-0.5/900}{0.016}=\dfrac{0.029}{0.016}=1.79

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>1.79)=0.0367

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3 years ago
Classify the following triangle. Check all that apply.
sveta [45]

Answer: obtuse and scalene

Step-by-step explanation:

7 0
4 years ago
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