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3 years ago

How would I use the distributive property to rewrite (9-p)3 and then simplify?

Mathematics

2 answers:

Ivanshal [37]3 years ago

5 0

Do 9 times 3 and -p times 3. when you simplify you should get 2<span>7-3p</span>

rodikova [14]3 years ago

5 0

1.To make it easier, you can rewrite the 3 to the other side!
3(9-p)
2.To distribute, you just take the term on the outside of the parentheses and multiply it with each term on the outside (seperately)
3 * 9 = 27
3 * -p = -3p
3. This would leave you with the following equation...rewrite it with the letters first.
-3p + 27 or 3p - 27
either way works!

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F(x)= x^3-4x^2+9 and let g(x)=6x^3+x^2-5x-12 what is f(x)-g(x)

Anarel [89]

$f(x) - g(x) = -5x^3-5x^2+5x +21$

Step-by-step explanation:

Given functions are:

$f(x) = x^3-4x^2+9\\g(x) = 6x^3+x^2-5x-12$

We have to find the difference of functions

So,

$f(x) - g(x) = x^3-4x^2+9 - (6x^3+x^2-5x-12)\\= x^3-4x^2+9-6x^3-x^2+5x+12$

Combining like terms

$x^3-4x^2+9-6x^3-x^2+5x+12\\=x^3-6x^3-4x^2-x^2+5x+9+12\\= -5x^3-5x^2+5x +21$

Hence,

$f(x) - g(x) = -5x^3-5x^2+5x +21$

Keywords: Functions, Operations

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

!ANSWER QUESTIONS! PLEASE!

lana [24]

Answer:

1. y-intercept = 4 ⇒ slope = $\frac{1}{3}$

2. y-intercept = -2 ⇒ slope = $-\frac{3}{5}$

3. y-intercept = 1 ⇒ slope = 4

4. y-intercept = 3 ⇒ slope = $-\frac{3}{2}$

5. y-intercept = 4 ⇒ slope = 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the line

b is the y-intercept

Let us solve the questions using the form above

1. y = $\frac{1}{3}$ x + 4

∵ m = $\frac{1}{3}$ and b = 4

∴ y-intercept = 4 ⇒ slope = $\frac{1}{3}$

2. y = $-\frac{3}{5}$ x - 2

∵ m = $-\frac{3}{5}$ and b = -2

∴ y-intercept = -2 ⇒ slope = $-\frac{3}{5}$

3. y = 4x + 1

∵ m = 4 and b = 1

∴ y-intercept = 1 ⇒ slope = 4

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

∵ m = $-\frac{3}{2}$ and b = 3

∴ y-intercept = 3 ⇒ slope = $-\frac{3}{2}$

5. y = x + 4

∵ m = 1 and b = 4

∴ y-intercept = 4 ⇒ slope = 1

3 0

3 years ago

In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor g

Vlad [161]

Answer:

If the teacher includes the score of the student who took the make-up test

a) The new student´s score decrease the average.

b) The new average is 75.6

c) The new student´s score increase the standard deviation.

Step-by-step explanation:

a) The concept of average implies the ratio between the sum of all scores (observations) and the number of scores (population, N).

At first we have an average of 76, if we add another score two things will happen: if the new score is greater than the average, the average will increase but, if the score is lower than the average, the average will decrease. In this case, as the new score 66<76, the average will decrease.

1) At first we have:

Average = (score 1 + score 2 +....+ score 24)/ 24 (N)

⇒ 76 = (score 1 + score 2 +....+ score 24)/24

⇒ 76 x 24 = (score 1 + score 2 +....+ score 24)

⇒ 1824 = (score 1 + score 2 +....+ score 24)

2) When the student´s score (66) is added we have tha N=25 and

(score 1 + score 2 +....+ score 25) = 1824 + 66

⇒ (score 1 + score 2 +....+ score 25) = 1890.

Now we can calculate the new average

Average = (score 1 + score 2 +....+ score n)/25

⇒ Average = 1890/25 ⇒ Average = 75.6.

The new average is 75.6

c) The concept of standar deviation give us an idea of the range of the scores and is represented as (mean ± standard deviation) = [mean - standard deviation ; mean + standard deviation]. In this case we have (76 ± 8.5) = [ 67.5 ; 84.5]. This implies that all scores are included in this range. So if we add a score that it is not included in the range the standard deviation will increase.

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4 years ago

Triangle N L M is shown. Angle N L M is a right angle. Altitude h is drawn from point L to point K on side N M, forming a right

Lena [83]

Answer: 2/h (2 over h) = h/3 (h over 3)

Step-by-step explanation:

Got it right on edge (the way I look at it, it's like base over height, length; whatever you want to name it. You don't have to look at it like that, I just thought about it as a good way to look at it)

4 0

3 years ago

Read 2 more answers

How do u do this plz help now

Nitella [24]

(4x+5) (6x-2)
distribute and combine the common factors

the answer is at the bottom

3 0

3 years ago