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3 years ago

(x+4)(x-2) as a triomial in standard form

Mathematics

2 answers:

ZanzabumX [31]3 years ago

7 0

x^2 + 2x - 8

just multiply (x+4)(x-2)

x times x = x^2

x times -2 = -2x

4 times x = 4x

4 times -2 = -8

-2x + 4x = 2x

Nataliya [291]3 years ago

6 0

Answer:

x² - 8x + 16 Hope this helps

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

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A scatter plot was constructed and a line of best fit was drawn, 25x 80. What is the equation of this best line of fit?

Tcecarenko [31]

Answer:

y = 5x + 25

Explaination:

To get the equation of a line, first get the slope of the line.

Slope = (change in y)/(change in x)

= (60-30)/(7-1)

= 30/6

= 5

Now use one point in the line (4,45) and a general point (x,y).

Slope = (change in y)/(change in x)

5 = (y - 45)/(x - 4)

5(x - 4) = (y - 45)

5x - 20 = y - 45

y = 5x -20 + 45

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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST

LUCKY_DIMON [66]

Answer:

A. slope = -2; point = (8, -3)

Step-by-step explanation:

Compare to the point-slope form for slope m and point (h, k).

y -k = m(x -h)

You see that k = -3, m = -2, h = 8, so ...

the slope is -2
the point is (h, k) = (8, -3)

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3 years ago

A farmer wanted to estimate how many moles were living on his property, so he marked 39 of them with tags. A few weeks later, th

nexus9112 [7]

Answer:

I think the answer is 819, but I am not sure.

Step-by-step explanation:

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2 years ago

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The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households

liq [111]

Answer:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b) 2.70

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

b. 1.85

$p_v =P(Z>1.85)=0.032$

b. 0.03

a. We can reject H(0) in favor of H(a)

Step-by-step explanation:

Data given and notation

$\bar X_{1}=164$ represent the mean for the sample 1

$\bar X_{2}=159$ represent the mean for the sample 2

$\sigma_{1}=12.5$ represent the population standard deviation for the sample 1

$s_{2}=9.25$ represent the population standard deviation for the sample B2

$n_{1}=35$ sample size selected 1

$n_{2}=30$ sample size selected 2

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the expenditure of households in City 1 is more than that of households in City 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

We know the population deviations, so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-0}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Standard error

The standard error on this case is given by:

$SE=\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}$

Replacing the values that we have we got:

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b. 2.70

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

P-value

Since is a one side right tailed test the p value would be:

$p_v =P(Z>1.85)=0.032$

b. 0.03

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

a. We can reject H(0) in favor of H(a)

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3 years ago

If you want to place 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of th

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The answer is $11 \frac{5}{6}$ inches

Step 1. Subtract length of the door from the width of the door:
$27 \frac{1}{2} - 9 \frac{3}{4} = \frac{55}{2} - \frac{39}{4} =\frac{110}{4} - \frac{39}{4}= \frac{71}{4}$

Step 2. You want the same space to be on each side of the bar. So, divide the difference from step 1 by 2:
$\frac{71}{4} : 2 = \frac{71}{4} : \frac{2}{1} =\frac{71}{4} * \frac{1}{2}= \frac{71}{6} = \frac{66+5}{6}= \frac{66}{6}+ \frac{5}{6}=11 \frac{5}{6}$

3 0

3 years ago

Read 2 more answers