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astraxan [27]
3 years ago
12

Which algebraic expression is equivalent to the expression below?

Mathematics
1 answer:
gregori [183]3 years ago
3 0
The correct answer to this problem is be because you have to multiply the 4 outside of the parentheses with the 4 inside of the parentheses which gives you 16X and then afterwards you have to do the same with the 6 with so since 4•6=24 you can automatically eliminate answer choice D and then you add up your 3x to your 16x which will be 19x so it would be B. 19x+24

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If f(x)= 6x+7, determine the value of f(r-2)
Tanzania [10]

The value of f(r - 2) is 6r - 5

<h3>What is a function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given ,we have;

f(x)= 6x+7, with f ( r - 2)

From here, we have that x = r -2

Now, let's substitute x as r - 2 in the function given;

f(x) = 6x + 7

f(r - 2) = 6 ( r - 2) + 7

Expand the bracket

f(r - 2) = 6r - 12 + 7

collect like terms

f(r - 2) = 6r - 5

Thus, the value of f(r - 2) is 6r - 5

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5 0
1 year ago
The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by hal
Leto [7]

Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula:

Area = Length × Width

Based on the information provided, we have:

  • Its length is decreased half of the 10 cm ⇒ (length - 5)
  • Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)
  • Its area is increased by 75 cm ⇒ (area + 5)

Substituting the parameters into the formula, we have:

LB + 75 = (L - 5)(B + 5)

2B² + 75 = (2B - 5)(2B + 5)

2B² + 75 = 2B(B + 5) - 5(B + 5)

2B² + 75 = 2B² + 10B - 5B - 25

5B = 75 + 25

5B = 100

B = 100/20

B = 20 cm.

For the length, we have:

L = 2B

L = 2 × 20

L = 40 cm.

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6 0
1 year ago
Can someone help me?​
miss Akunina [59]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2).
kozerog [31]

Answer:

Point-slope form: y-4=2(x+1)

Slope intercept form: y=2x+6

I hope this helps!

5 0
3 years ago
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Thirty times the square of a non-zero number is equal to 8 times the number. What is the number?
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6 0
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