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3 years ago

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Which function grows at the fastest rate for increasing values of x? g(x)=14x p(x)=12x3+9 f(x)=2x2−x h(x)=3x

1 answer:

iris [78.8K]3 years ago

5 0

The function that is growing at the fastest rate is p(x) = 12x^3 + 9.

This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.

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In the image, point A is the center of the circle. Which two line segments must be equal in length?

alex41 [277]

The answer is C (EF and HI)

This is because both lines pass through the centre A, meaning both are diameters. Hence, they are equal in length.

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3 years ago

What is the range of the function y=3x-2 if the domain is {0,1,2}

soldier1979 [14.2K]

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Step-by-step explanation:

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3 years ago

4 1/3 - 1 2/3 how to solve this please

8_murik_8 [283]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

1) Convert $4\frac{1}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{4\times3+1}{3} -1\frac{2}{3}$

2) Simplify 4 * 3 to 12.

$\frac{12+1}{3}$

3) Simplify 12 + 1 to 13.

$\frac{13}{3} -1\frac{2}{3}$

4) Convert $1\frac{2}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{13}{3} -\frac{1\times3+2}{3}$

5) Simplify 1 * 3 to 3.

$\frac{13}{3} -\frac{3+2}{3}$

6) Simplify 3 + 2 to 5.

$\frac{13}{3} -\frac{5}{3}$

7) Join the denominators.

$\frac{13-5}{3}$

8) Simplify.

$\frac{8}{3}$

9) Convert to mixed fraction.

$2\frac{2}{3}$

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0

2 years ago

Beth is going to the State Fair which costs $10 to get in. Each ride costs $5.50. If he has $45 to spend at the Fair, what is th

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Step-by-step explanation:25790=/,svxy

5 0

2 years ago

Read 2 more answers

supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are

Simora [160]

<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

$\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu$

, where n= sample size

$\overline{x}$ = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : $df=n-1=24$

$\overline{x}= \$93.36$

$s=\ $19.95$

Significance level for 98% confidence interval : $\alpha=1-0.98=0.02$

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

$t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922$

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

$93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu$

$=93.36-9.943878< \mu$

$=93.36-9.943878< \mu$

$=83.416122< \mu$

Hence, the 98% confidence interval for the mean repair cost for the dryers. = $83.4161$

4 0

3 years ago