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2 years ago

Which algebraic expressions are polynomials? Check all that apply. x2y 2 – 4x3 + 12y – x2 – 16 3.9x3 – 4.1x2 + 7.3

2 answers:

4 0

Polynomials are the expressions that contain two or more algebra terms - constants, variables and their powers of a particular variable. The simple example of a polynomial is $2x^{2} + 3x^{3} + 5x + 2$

In the given question,
9x3 – 4.1x2 + 7.3 is the polynomial because it has different powers of same variable x and does not contain any other variable.

lbvjy [14]2 years ago

4 0

It's A B and E on ed-genuity.

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troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga

GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

$y-y1=m*(x-x1)$

where

m is the slope---------> $\frac{gallon}{miles}$

in this problem the slope is equal to $-\frac{1}{21} \frac{gallons}{miles}$

it's negative because the tank is going to be consumed

assuming he starts with a full tank

$for\ x=0\ y=30\ gal$

substitute in the formula above

$y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30$

therefore

the answer is

the equation $y=-\frac{x}{21}+30$

8 0

2 years ago

Read 2 more answers

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,

sweet-ann [11.9K]

Answer:

a. $H_{0}:$ μ = $24.57

$H_{a}:$ μ ≠ $24.57

b. 0.12

c. we fail to reject the null hypothesis since p ≈0.12 > 0.05

d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96

Step-by-step explanation:

$H_{0}:$ μ = $24.57

$H_{a}:$ μ ≠ $24.57

To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis

z-score can be calculated as follows:

$\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X= $23.89
M is the mean value under null hypothesis ( $24.57)
s is the sample standard deviation ($2.40)
N is the sample size (30)

Putting the numbers in the formula we get

$\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }$ ≈ −1,5518

The corresponding p-value is two tailed and ≈ 0.12

since p ≈0.12 > 0.05 we fail to reject the null hypothesis.

Critical value for the 0.05 significance level in two tailed test is :

c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore we fail to reject the null hypothesis.

7 0

2 years ago

In developing an interval estimate for a population mean, a sample of 50 observations was used. the interval estimate was 19.76

alexandr402 [8]

The formula for interval estimate would be: μ = M ± Z(sM)

Where: μ is estimate

M is the mean

Z is the z value

(sM) is the standard error

μ = M ± Z(sM)

n = 200 rather than 50 (√200 = 2√50)

⇒ ME = (1/2) * 1.32 = .66

Using the formula above, plugging this in will give us: μ = 19.76 ± .66

= 19.76 ± .66 is the confidence interval or interval estimate

4 0

2 years ago

a kilogram of dalandan in pure gold costs P55. if jessica bought k kilograms, represent the amount paid A as a function

Rufina [12.5K]

Answer:

$A(k) = 55k$

Step-by-step explanation:

Given

$1kg = P55$

Required

Determine the cost of k kilogram

$1kg = P55$

Multiply both sides by k

$k * 1kg = P55 * k$

$k\ kg = 55 k$

Representing this as a function:

$A(k) = 55k$

8 0

2 years ago

Write the ratio as a fraction in simplest form. 51 correct : 9 incorrect

irinina [24]

51/9 = 17/3. That is the answer.

6 0

2 years ago

Read 2 more answers