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jenyasd209 [6]
3 years ago
15

Given that a^­­b = x, evaluate the following: 2a^3b +a^2b+ a^b

Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:

2x^3+x^2 +x = x(2x^2 +x+1)

Step-by-step explanation:

a^­­b = x,

2a^3b +a^2b+ a^b=

2(a^b)^3+(a^b)^2 +a^b=

2x^3+x^2 +x=

x(2x^2 +x+1)

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Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa
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Answer:

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3 years ago
1. Which expressions are equivalent to -3(x - y)? Select all that apply. A. -3x + 3y B. -3x - 3y C. -3x - y D. -3x + -3y E. 3y -
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Answer:

A and E

Step-by-step explanation:

-3(x - y) = -3x + 3y = 3y - 3x

A. E

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the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers
Serjik [45]

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

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4 years ago
There are 23 students in a math class 12 of them are boys what is the ratio of girls to total number of students
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4 years ago
A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 56% f
max2010maxim [7]

Solving a system of equations we can see that:

They need to use 80kg of the 60% chocolate and 20kg of the 40% chocolate.

<h3>How to find how much of each candy needs to be used?</h3>

Let's define the variables:

  • x = kilograms of the 40% chocolate.
  • y = kilograms of the 60% chocolate.

They want to make 100kg, then:

x + y = 100

And the concentration must be of the 56%, then we can write:

x*0.4 + y*0.6 = (100)*0.56 = 56

Then we have a system of equations:

x + y = 100

x*0.4 + y*0.6 = 56

To solve this, we can isolate x on the first equation to get:

x = 100 - y

Now replace that in the other equation:

(100 - y)*0.4 + y*0.6 = 56

40 + y*0.2 = 56

y*0.2 = 16

y = 16/0.2 = 80

This means that they need to use 80kg of the 60% chocolate and the other 20kg of the 40% chocolate.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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