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Ksenya-84 [330]
2 years ago
9

Can you pls help me with this question?

Mathematics
1 answer:
8090 [49]2 years ago
4 0

Answer:

heyyyyy  so basically the answers would be 8 and 5 on the first and 2nd one Im thinking ...

Step-by-step explanation:

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Please help. Don’t understand this math problem!
oksian1 [2.3K]

Answer:

  { 4 }

Step-by-step explanation:

First you need to solve the equation. Then you need to write the solutions as a set.

__

I like to use a graphing calculator to solve equations involving roots. That helps avoid extraneous solutions. Here, the graph of the left side intersects the graph of the right side at x=4. There is exactly one solution, so the solution set is ...

  { 4 }

__

Solving this algebraically, you would isolate the radical, then "undo" it by squaring both sides of the equation. Then solve the resulting quadratic. That will have 2 solutions, only one of which will work in the original equation.

  √(5x +16) -2 = 3x -8 . . . . given

  √(5x +16) = 3x -6 . . . . . .  add 2

  5x +16 = (3x -6)^2 . . . . .  square both sides

  5x +16 = 9x^2 -36x +36 . . . . expand the square

  9x^2 -41x +20 = 0 . . . . . . subtract (5x+16) to put into standard form

Factors of 9·20 = 180 that have a sum of 41 are 5 and 36, so we can rewrite this equation as ...

  9x^2 -36x -5x +20 = 0

  9x(x -4) -5(x -4) = 0 . . . . . . factor by pairs

  (9x -5)(x -4) = 0

The values of x that make this equation true are the values that make the factors be zero: 5/9 and 4. Trying these in the equation, we find ...

  √(5(5/9) +16) -2 = 13/3 -2 = 2 1/3 . . . . value of the left side for x = 5/9

  3(5/9) -8 = -6 1/3 . . . . . . value of the right side for x=5/9; not the same

  x = 5/9 is NOT A SOLUTION

__

  √(5(4)+16) -2 = √36 -2 = 4 . . . . value of the left side for x = 4

  3(4) -8 = 12 -8 = 4 . . . . . . value of the right side for x=4. These are the same, so ...

  x = 4 is a solution

The set of solutions is then ...

  { 4 } . . . . . solution set

5 0
3 years ago
Which expression is equivalent to 2 (-3x + 5)?
Pavel [41]

the answer is B -6b + 10

3 0
3 years ago
Mittens are marked down 25%. The sale price is $3.15 a pair. What was the original price of a pair of kittens.
madreJ [45]
The answer is $4.20. Hope this helped
6 0
3 years ago
Match the decimal with its equivalent percent.
seraphim [82]

Answer:

42%

Step-by-step explanation:

decimal * 100 to get %

8 0
2 years ago
What is 162% of 400? Rounded to the nearest hundredth.
finlep [7]

Answer:

648

Step-by-step explanation:

Write 162% as  162 /100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

162 /100  of 400 =  162 /100 × 400

Therefore, the answer is 648

If you are using a calculator, simply enter 162÷100×400 which will give you 648 as the answer

8 0
3 years ago
Read 2 more answers
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