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1 year ago

Consider the function f(x) = x² + 10x + 25 for x ≥ -5. What is the value of f-¹(x) when x = 4?

Mathematics

1 answer:

prisoha [69]1 year ago

5 0

Answer:

-3

Step-by-step explanation:

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3,969 + b^2 = 11,025

ludmilkaskok [199]

Answer:

b=84

Step-by-step explanation:

from your equation, subtract 3969 from each side

you are left with b^2=7056

sqrt b^2 = sqrt 7056

b=84

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3 years ago

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Which of these coordinates would represent the intercepts of the graph of the function f(x)=3x-9

4vir4ik [10]

(3,0) and (0,-9)
Explanation: type the equation in a graphing calculator and the answer is the points where the line crosses the x and y axis

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2 years ago

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A triangle has angle measures of 30 degrees and 70 degrees. What is the measure of the third angle?

cricket20 [7]

Because a triangle's angles need to equal 180, you can subtract 100(30+70) and you will get 80. So 80 will be your third angle.

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3 years ago

Harriet bought 2kg of potatoes for $1.50 how much would it cost for 1 kg

Mila [183]

2 kg = 1.5
1 kg is half of 2 kg, therefore, half the price. Half of 1.5 dollors = 75 cents

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3 years ago

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

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3 years ago