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3 years ago

WILL MARK BRAINIEST

Mathematics

1 answer:

muminat3 years ago

7 0

Answer:

$f(x) = -4x - 2$

Step-by-step explanation:

To derive the function rule in slope-intercept form, $f(x) = mx + b$ , we need to find the slope, m, and the y-intercept, b, of the graph given.

Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{0 -(-1)} = \frac{-4}{1} = -4$

m = -4

The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.

Substitute m = -4, and b = -2 into $f(x) = mx + b$ .

The function rule in slope-intercept form would be:

$f(x) = -4x +(-2)$

$f(x) = -4x - 2$

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PART A: Are the triangles congruent?

wlad13 [49]

Answer: Part A: No; Part B; N/A

Step-by-step explanation:

The two triangles are not congruent because it's SSA, which doesn't work unless it's a right triangle.

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3 years ago

Simplify the following polynomial and write the answer in standard form. (9-2x^3+5^2-4x+5) - (-2x^3+2x-3)

pogonyaev

If I am reading the question correctly it would come out to -6x+42 First do all the addition and squaring, then factor in that negative. You come out to -2x^3 +2x^3-4x-2x+25+5+9+3. The x^3's cancel, the -x's add to -6x, then all that other adds to 42.

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3 years ago

Read 2 more answers

How do I solve this I’m dumb

laila [671]

-1/4 + f/8 = 1/2.
The LCD is 8. Rewrite this equation as -8/4 + 8f/8 = 8(1/2) and then reduce the result:

-2 + f = =4

Then f = 6.

You should check this result.

8 0

3 years ago

Brent is a researcher for a food company. He is on a team creating a reduced-calorie version of its flagship cracker. The team w

Andre45 [30]

Answer:

Step-by-step explanation:

Hello!

The research team created a cracker with fewer calories. The average content of calories of the new crackers per serving of 6 should be less than 60.

To test it a random sample of 26 samples of the new cracker was taken and the calories per serving were measured.

Then the study variable is

X: calories of a 6 serve sample of the new reduced-calorie version. (cal)

The variable has a normal distribution with a population standard deviation of 0.82 cal.

To test the claim that the new crackers have on average less than 60 calories, the parameter of interest is the population mean (μ) and the hypotheses are:

H₀: μ ≥ 60

H₁: μ < 60

α: 0.01

Since the variable has a normal distribution and the population variance is known, the best statistic to use to conduct the test is a Standard Normal

$Z= \frac{(X[bar]-Mu)}{\frac{Sigma}{\sqrt{n}} } ~N(0;1)$

This test is one tailed to the left, wich means that the null hypothesis will be rejected at low levels of the statistic.

$Z_{\alpha } = Z_{0.01} = -2.334$

If Z ≤ -2.334, the decision is to reject the null hypothesis.

If Z > -2.334, the decision is to not reject the null hypothesis.

Using the data of the sample I've calculated the sample mean.

X[bar]= ∑X/n= 1548.61/26= 59.56 cal

$Z_{H_0}= \frac{(59.56-60)}{\frac{0.82}{\sqrt{26} } } = -2.736$

The observed Z value is less than the critical value, so the decision is to reject the null hypothesis.

At a level of significance of 1%, you can conclude that the population mean of calories of the samples of new crackers is less than 60 cal.

I hope it helps!

6 0

3 years ago

Plsss help it’s due today in an hour!!! (test grade)

Rudik [331]

Answer:

the area is 50.24 $cm^{2}$ .

Step-by-step explanation:

The formula to find area of a circle is A=π $r^{2}$ . A is area, and r is for radius. Since we have the diameter here, we just need to divide by 2 to find the radius. 8÷2=4, so there, the radius is 4. Now we need to square 4, and do 4x4, which equals 16. Now to multiply 16 by π, or 3.14. 16 x 3.14 = 50.24. The final answer is 50.24 $cm^{2}$ . Hope this helped! :]

8 0

3 years ago