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3 years ago

7

Solve: |4x + 5| + 8 >(or equal to)45

1 answer:

KatRina [158]3 years ago

8 0

This is pretty simple once you get used to this

First set it equal to the original and the negative one
(>_) is the bigger and equal to part

4x+5>_45 or 4x+5>_-45

Then solve for x for both

4x>_40. 4x>_-50
X>_10 X>_-25/2

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What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6

vodka [1.7K]

Answer:

(x+1) is a factor with remainder 0.

Step-by-step explanation:

We divide (x+1) into the polynomial $-3x^4+2x^3-x^2+6$ through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial $-3x^4+2x^3-x^2+6$ .

$(x+1)(-3x^3)=-3x^4-3x^3$

We subtract this from the original $-3x^4-(-3x^4)+2x^3-(-3x^3)-x^2+6$ .

This leaves $5x^3-x^2+6$ . We repeat the step above.

$(x+1)(5x^2)=5x^3+5x^2$ .

We subtract this from $5x^3-(5x^3)-x^2-(5x^2)+6=-6x^2+6$ . We repeat the step above.

$(x+1)(-6x)=-6x^2-6x$ .

We subtract this from $-6x^2-(-6x^2)+0x-(-6x)+6=6x+6$ . We repeat the step above.

$(x+1)(6)=-6x+1$ .

We subtract this from $6x-(6x)+6-(6)=0$ . There is no remainder. This means (x+1) is a factor.

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3 years ago

What is the end behavior of this radical? f(x) = 4 square root x - 6

Tanzania [10]

Answer:

I think you can answer it with a chart, I guess, of course I'm not sure‍♀️

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3 years ago

Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample

GuDViN [60]

Answer: $(628.48,\ 661.52)$

Step-by-step explanation:

Given : Sample size : $n=16$ , which is a small sample (, 30) so we use t-test.

Sample mean : $\overline{x}=645 \text{ hours}$

Standard deviation : $\sigma = 31 \text{ hours}$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=2.131$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)$

Hence, a 95% confidence interval for the population mean $\mu$ = $(628.48,\ 661.52)$

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3 years ago

An airline company claims in a recent advertisement that more than 94% of passenger luggage that is lost is recovered and reunit

Genrish500 [490]

Answer:

The null hypothesis is $H_o : p \le 0.94$

The alternative hypothesis is $H_a : p > 0.94$

Step-by-step explanation:

From the question we are told that

The sample size is n = 315

The population proportion is p = 0.94

The number of luggage that was recovered and reunited with the passenger in one day is k = 276

Generally the sample proportion is mathematically represented as

$\r p = \frac{k}{n}$

=> $\r p = \frac{276}{315}$

=> $\r p = 0.876$

The null hypothesis is $H_o : p \le 0.94$

The alternative hypothesis is $H_a : p > 0.94$

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3 years ago

The sum of Fred and Amanda's age is

sveta [45]

Answer:

so 3 x 109 =327+ 1 =328

Step-by-step explanation:

i think. so freds age is 3 times her age plus one so 328

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3 years ago