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3 years ago

60 = −2(−10 − 4x) what is the answer show step by step

Mathematics

2 answers:

Papessa [141]3 years ago

8 0

That’s the answer with steps

Pavel [41]3 years ago

5 0

Answer: x = 5

Step-by-step explanation:

first, divide both sides.

30 = -(-10 - 4x)

then, remove the parenthesis.

30 = 10 + 4x

them, move the terms.

=4x = 10 - 30

finally, divide both sides.

-4x = 20

solution: x = 5

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Write the equation of the line in fully simplified slope-intercept form.

lys-0071 [83]

Answer:

slope intercept form: y=mx+c

Step-by-step explanation:

By using two points form:

y-0/3-0=x-1/2 /0-3

y/3=x-1/2 /3

y=x-1/2

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3 years ago

Which statements are true about the polynomial function? f(x)=x3−x2−4x+4

luda_lava [24]

To determine which of the statement is/are true, we simply have to evaluate the given choices.

a. f(x) = 0 when x = -1

f(x) = (-1)^3 - (-1)^2 - 4(-1) + 4
f(x) = 6

FALSE

b. f(x) divided by x - 1 has a remainder of 0.

f(x) = (1)^3 - (1)^2 - 4(1) + 4
f(x) = 1 - 1 - 4 + 4 = 0

TRUE.

c. (x - 1) is a factor of f(x)

Since, the division of f(x) by x - 1 gave an answer of zero this means that it is a factor.

TRUE.

d. f(-1) = 0.

In relation to letter a of this item, if we are to substitute -1 to x of the given equation, the answer is 6 instead of zero.

5 0

3 years ago

Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of bra

Stella [2.4K]

Answer:

The 95% confidence interval would be given by $-23.44 \leq \mu_1 -\mu_2 \leq -8.16$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_1 =114.1$ represent the sample mean 1

$\bar X_2 =129.9$ represent the sample mean 2

n1=5 represent the sample 1 size

n2=2 represent the sample 2 size

$s_1 =5.08$ sample standard deviation for sample 1

$s_2 =5.37$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

Confidence interval

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =114.1-129.9=-15.8$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n_1 +n_2 -1=5+5-2=8$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that $t_{\alpha/2}=\pm 2.31$

The standard error is given by the following formula:

$SE=\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=3.306$

Confidence interval

Now we have everything in order to replace into formula (1):

$-15.8-2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-23.437$

$-15.8+2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-8.163$

So on this case the 95% confidence interval would be given by $-23.44 \leq \mu_1 -\mu_2 \leq -8.16$

8 0

3 years ago

Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability

shtirl [24]

Step-by-step explanation:

sorry po hindi ko po alam sagot

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4 years ago

A certain function is defined as "multiply the input by -3/4,then add 2 I need the function rule asap

Olegator [25]

Hi there!

The answer is:
$y = - \frac{3}{4} x + 2$

Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2

$y = - \frac{3}{4} x + 2$

7 0

4 years ago

Read 2 more answers