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Citrus2011 [14]
3 years ago
10

Evaluate 4(x+3)(x+1)/(x+5)(x-5) x=3

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

below

Step-by-step explanation:

4(3 + 1)(3 + 3)(3 + 5)(3 - 5)

4(4)(6)(8)(-2)

16(-96)= -1536

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find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
Artyom0805 [142]

Answer:

-58, -57, -56

Step-by-step explanation:

if the first integer is x,

the second integer must be x + 1 (because it's consecutive)

and the third must be x + 2

Therefore:

3 times the sum of the first and third integers is -342:

3 * (x + (x+2) ) = -342

Combine like terms in parentheses

3 * (2x + 2) = -342

Distribute the 3 to the 2x and the 2:

6x + 6 = -342

Subtract 6 on both sides

6x = -348

Divide by 6 on both sides

x = -58

x + 1 = -57

x + 2 = -56

-58, -57, -56

Check:

3 * (-58 + -56) = 3 * -114 = -342

3 0
2 years ago
Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the
Naily [24]

Answer:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

3 0
3 years ago
To get ready for the big community bake sale a baker is baking cookies.For his first batch he makes 48 cookies second 78 cookies
mina [271]

Answer:

62

Step-by-step explanation:

To find the mean, add the numbers together and divide the sum by the total amount of numbers.

\frac{48+78+54+68}{4} =62

6 0
3 years ago
Dana can travel 9 miles in her rowboat in 6 hours against the current. With the current, it takes 4 hours to row the same distan
taurus [48]

Answer: The equations are

6x - 6y = 9

4x + 4y = 9

Step-by-step explanation:

Let x represent the speed of the row boat in still water.

Let y represent the speed of the current.

Dana can travel 9 miles in her rowboat in 6 hours against the current. This means that the total speed at which she travelled is

(x - y) miles per hour.

Distance = speed × time

Distance travelled against the current is expressed as

9 = 6(x - y)

6x - 6y = 9

With the current, it takes 4 hours to row the same distance. This means that the total speed at which she travelled is

(x + y) miles per hour.

Distance travelled with the current is expressed as

9 = 4(x + y)

4x + 4y = 9

7 0
3 years ago
Find f(x)+g(x), given f(x)=x^2-8 and g(x)=-2-x^2
Gnoma [55]

\left(x^2-8\right)+\left(-2-x^2\right)=-10

\left(x^2-8\right)+\left(-2-x^2\right)

=x^2-8-2-x^2

=x^2-x^2-8-2

=-8-2

=-10

8 0
2 years ago
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