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QveST [7]
3 years ago
9

What are the solutions to 2(x-7)^2 = 32?

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0
2(x-7)^2 = 32\\
(x-7)^2=16\\
x-7=-4 \vee x-7=4\\
x=3 \vee x=11

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Given f() = -4x + 3, find f(-3)
Fittoniya [83]

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

8 0
2 years ago
Read 2 more answers
If The diameter of a circle is 14 yards.what is the circles circumference
amm1812

Answer:

14π yards^2, or 43.98^2 yards rounded to 2dp

Step-by-step explanation:

circumference = diameter x π

6 0
3 years ago
You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40.
koban [17]

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

 

First let’s define a shirt as X and pants as Y!

 

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40  

 

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

 

3X + Y= $32—> subtract 3X on both sides of the equation  

-3X.        - 3X

 

Net result: Y= 32- 3X

 

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

 

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation  

-7X + 96 = $40 —> substrate 96 from both sides  

-7X = -56 —> divide both sides by -7  

X= 8  

 

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

   

ANSWER: X= 8, Y= 8

If I am wrong I am sorry >_<

5 0
2 years ago
Please help meeee ………..
Len [333]

Answer:

  x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

  \dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}

__

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

  \log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5

6 0
1 year ago
The taxi ride costs $3.00 plus
sleet_krkn [62]

Answer:

$7

because theres 4 quarters in a mile so one mile would equal to $2  bc

0.50 x 4 = $2

and you have to go 2 miles so

$2 + $2 = $4

then you add the the cost of the taxi so

$4+ $3

= $7

3 0
2 years ago
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