All categories

3 years ago

Simplify (x-3)(x+ 7) using the Area model or foil, and identify the resulting expression in standard

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

x^2 +4x -21 thats the answer if you foil the expression, and it is put in standard form

You might be interested in

What is the length of the figure?

nadezda [96]

There are two ways to do this. One is by adding up the squares, which takes a while. The other way is if you notice that the length along the bottom is the same as that long the top, and the same is true for the sides. While it does not appear this way at first, imagine that that was the floor plan of a house. If you looked at it from the side, you wouldn't see the dent in the corner, only one side. Since the length of the top is 13 units, from -7 to 6, and the side is also 13 units, from -6 to 7, the answer is $13*2 + 13* 2 = 26 + 26 = 52$

52 units long.

4 0

3 years ago

26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics

hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

$\mu _d = \mu _{post} - \mu _{pre}$

Then the null hypotheses and alternative hypotheses will be

H₀: $\mu _d = 0$

Hₐ: $\mu _d > 0$

Then the test statistic will be

$\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5$

Then

$\rm S_d = 6.02$

The test statistic value is given by

$\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16$

Since this is a right-tailed test, so the critical value is given by

$\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353$

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that $\mu _d > 0$ that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0

2 years ago

What equation has a slope of 2 and goes through the point (3, 2)?

kaheart [24]

Answer:

y = 2x - 4

Step-by-step explanation:

We'll write our equation in y = mx + b form, with m being the slope and b being the y-intercept. We already know our slope, so we can replace m with 2 like this: y = 2x + b. But we don't know what b is. We can use the point (3, 2) to figure out b's value, since it has an x-value (3) and a y-value (2):

2 = 2(3) + b

2 = 6 + b

-4 = b

So we have y = 2x + (-4), or y = 2x - 4.

Hopefully that was helpful! If you have more questions, let me know.

5 0

3 years ago

Plz help on the 6 problems

Leokris [45]

1.) 9
2.)7
3.)106
4.)13
5.)192
6.)11

5 0

3 years ago

Unknown plz plz help me

scoundrel [369]

144m^2 because the area of each triangle is 27m^2, so 27x4 is 108, then you add the 36 for the base to get 144

8 0

3 years ago