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ValentinkaMS [17]
3 years ago
13

Using the foil method, multiply the terms of the binomials below. Show your work in the blanks provided. Then, add any like term

s and write the polynomial in standard form in the space provided. Show your work. (x^2+2x)(5x^2-3x)
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

5x^4+7x^3-6x^2

Step-by-step explanation:

(x^{2} +2x)(5x^{2} -3x)\\\= 5x^{4}-3x^{3} +10x^{3}  -6x^{2}\\= 5x^{4}+7x^{3} -6x^{2}

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What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?
Harman [31]
6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2
8 0
3 years ago
2.
zavuch27 [327]
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.

B. (2,3)
8 0
3 years ago
Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 sli
Nady [450]

Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- When we have a quantity we can divided it to many equivalent

 fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

 terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

 circle, if we multiply each term of the fraction by 2 (up and down)

 then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

 1/2 = 2/4 = 3/6 = ..................

* <em>Lets solve the problem</em>

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- <em>Lets simplify the two fraction</em>

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

   equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

5 0
3 years ago
a shade if orange paint is made with 6 parts red paint and 2 parts yellow paint. what percent of the paint is red
Wewaii [24]

Answer:

there is 8 parts total

6/8 red 2/8 yellow

6/8 = 0.75

0.75 X 100 = 75%

4 0
3 years ago
32​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Tems11 [23]

Answer:

a) P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

b) P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

c) P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.32)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

Part b

P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]

P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211  

P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Part c

P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264

P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218

P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123

P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

6 0
3 years ago
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