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neonofarm [45]
3 years ago
6

Which represents the inverse of the function f(x)=4x

Mathematics
1 answer:
liraira [26]3 years ago
5 0
The answer will be F^-1= x/4
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Write the slope intercept form of the equation of the line through the given point
ozzi

Answer:

y =  -\frac{3}{4}x

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = -\frac{3}{4}, point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 =  -\frac{3}{4}(4) + b

Solve for b:

-3 =  -\frac{3}{4}(4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y =  -\frac{3}{4}x + 0

y =  -\frac{3}{4}x

The equation written in slope-intercept form is: y =  -\frac{3}{4}x

8 0
3 years ago
Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
saw5 [17]

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

3 0
3 years ago
Assuming that any skirt can be paired with any blouse, in how
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Don’t Ok ehhdhdh be vv
6 0
2 years ago
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
mojhsa [17]

Answer:

(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

Step-by-step explanation:

Let us assume that the percentage of support for the candidate, among voters in her district, is 50%.

(A)

The margin of error, <em>MOE</em> = 0.04.

The formula for margin of error is:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}

The critical value of <em>z</em> for 95% confidence interval is: z_{\alpha/2}=1.96

Compute the minimum sample size required as follows:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.04=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.04}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=600.25\approx 601

Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

The margin of error, <em>MOE</em> = 0.02.

The formula for margin of error is:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}

The critical value of <em>z</em> for 95% confidence interval is: z_{\alpha/2}=1.96

Compute the minimum sample size required as follows:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

8 0
3 years ago
What’s the equation for the translation of y=|x|?
vfiekz [6]
The answer is D y=|x| + 4
3 0
2 years ago
Read 2 more answers
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