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3 years ago

The solutions to (x + 4) ^2- 2 = 7 are

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Answer:

x = -1, -7

Step-by-step explanation:

$(x+4)^2$ -2 = 7

$(x+4)^2$ -9 = 0 (Taking 7 to the other side)

$(x+4)^2$ - $3^2$ = 0

Now use the difference of two squares rule

[((x+4)+3).((x+4)-3)] = 0

[(x+7).(x+1)] = 0

Now solve for x

x = -1, -7

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third one

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3 years ago

Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving? St

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Answer:

StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction

Step-by-step explanation:

For constant speed, miles and hours are proportional. One possible equation is ...

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<em>Comment on the solution</em>

I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.

I might write the equation as ...

(? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve

Another way to write the equation is matching the ratios of times to corresponding miles:

(? hours)/(1 hour) = (200 mi)/(50 mi)

This only requires simplification to solve it: ? = 4.

3 0

4 years ago

Read 2 more answers

What is the solution of 1/2 x= 5/6

Studentka2010 [4]

Answer:

5/3

Step-by-step explanation:

1/2 x = 5/6

Multiply by 2 on each side

(1/2 * 2)x = (5/6)2

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3 years ago

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A local convenience store is having a sale on paper towels. At noon, the store has sold 12 packs of toilet paper. At 3:00 pm, th

yanalaym [24]

Answer: 15 packs per hour

======================================================

Work Shown:

y = change in number of packs sold

y = 57 - 12

y = 45 packs

x = change in time (in hours)

x = 3 hours

m = slope = rate of change

m = y/x

m = 45/3

m = 15

The store sold 15 packs per hour during the timespan of noon to 3:00 pm.

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3 years ago

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Based on the graph, we can see that the x and y values of g(x) will never be negative. They also show an increasing curve that resembles the graph of a square root function. Hence, the parent function of g(x) is y = √x

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3 years ago

The solutions to (x + 4) ^2- 2 = 7 are​

The solutions to (x + 4) ^2- 2 = 7 are