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Paha777 [63]
2 years ago
8

Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.

Mathematics
1 answer:
Maslowich2 years ago
4 0

To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

(3b+2r)+(4b+r)

Let the resultant expression of the above expression is x. thus,

x=(3b+2r)+(4b+r)

To add the algebraic terms open the brackets first,

x=3b+2r+4b+r

Separate the same variable terms,

x=3b+4b+2r+r

To add the variables, add the coefficients with same variable. Thus,

x=7b+3r

Hence, the expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

Learn more about the equivalent expression here;

brainly.com/question/2972832

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grigory [225]

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.

Example, the degree of 4x^8 is 8.

So the degree of 5x^4 is 4.

The degree of 3x^2 is 2.

The degree of 1 is 0 since there is no variable in this expression.

So the degree of 5 x^4 + 3 x^2 + 1 is 4.

4 0
2 years ago
Five to to the 5th power over five to the eight
sveticcg [70]
\frac{5^{5} }{5 ^{8} }
Hope I helped, also, I used the math thingy, which I haven't used before, so I'm not sure quite how this turned out, well, I guess we will see in a minute! But if it does not work I can try it just typing regularly.
8 0
3 years ago
Solve the equation 12a3 + 12a2 = -3a. Show all work.
Artist 52 [7]

12a³ + 12a² = -3a       | + 3a

12a³ + 12a² + 3a = 0

3a(4a² + 4a + 1) = 0

3a(2a + 1)² = 0

3a = 0 or (2a + 1)² = 0

1) 3a = 0      | : 3

a = 0

2) (2a + 1)² = 0

2a + 1 = 0           | - 1

2a = -1           | : 2

a = -1/2

a ∈ {-1/2, 0}

Used formula:

(a + b)² = a² + 2ab + b²

7 0
3 years ago
5. What is an Improper Fraction ? Give at least 2 examples of an Improper Fraction.
Vsevolod [243]

Answer:

a fraction whose numerator is equal to, larger than, or of equal or higher degree than the denominator

a fraction whose numerator is equal to or larger than the denominator

Step-by-step explanation:

Hope I helped

5 0
2 years ago
Read 2 more answers
There are two major cell phone providers in the Colorado Springs, Colorado area, one called HTC and the other, Mountain Communic
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Hello!

The objective of this exercise is to compare the "Churn rate" between the two major cell phone providers in colorado springs.

For each provider, the number of subscribers was noted at the beginning and end of a month.

The study variables are:

X₁: Number of customers that cut ties with HTC over a month.

X₂: Number of customers that cut ties with Mountain Communications over a month.

To compare the churn rate of both companies, the parameters of interest are the population proportions of customers that stopped using the companies services over the given period.

The hypotheses of interest are:

H₀: p₁ = p₂

H₁: p₁ ≠ p₂

α: 0.01

The statistic to use is the standard normal approximation:

Z= \frac{('p_1-'p_2)- (p_1-p_2)}{\sqrt{'p(1 - 'p)[\frac{1}{n_1} + \frac{1}{n_2}  ]} } }

Z≈N(0;1)

HTC

n₁= 10000 customers (beginning of the month)

x₁= 190 customers (people that stopped using the company service)

sample proportion 'p₁= x₁/n₁= 190/10000= 0.019

Mountain Communications

n₂= 12285 customers (beginning of the month)

x₂= 215 customers (people that stopped using the company service)

sample proportion 'p₂= x₂/n₂= 215/12285= 0.0175

pooled sample proportion 'p= \frac{x_1 + x_2}{n_1 + n_2} = \frac{190 + 215}{10000 + 12285}

'p= 0.0182

Z_{H_0}= \frac{(0.019 - 0.0175) - 0}{\sqrt{(0.0182*0.9818)[\frac{1}{10000} + \frac{1}{12285}  ]} }

Z_{H_0}= 0.833

The p-value for this test is: 0 .4048

Note: Using the p-value method to decide over a hypothesis test, the decision rule is:

If p-value ≥ α, then you do not reject the null hypothesis.

If p-value < α, then you reject the null hypothesis.

The p-value < α, so the decision is to reject the null hypothesis.

With a significance level of 1%, there is enough evidence to conclude that there is a difference between the churn rate of the two cell phone providers.

I hope it helps!

3 0
3 years ago
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