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nata0808 [166]
2 years ago
15

What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !

Mathematics
2 answers:
Igoryamba2 years ago
6 0

Step-by-step explanation:

x=√3+3,−√1          

                                                        I tried...

olganol [36]2 years ago
4 0

Answer:

3+sqrt(13/2)

3-sqrt(13/2)

Step-by-step explanation:

2 (x-3) ^2 =13

Divide each side by 2

2/2 (x-3) ^2 =13/2

(x-3) ^2 =13/2

Take the square root of each side

sqrt((x-3) ^2) =±sqrt(13/2)

x-3 = ±sqrt(13/2)

Add 3 to each side

x-3+3 = 3±sqrt(13/2)

x = 3±sqrt(13/2)

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Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the
kap26 [50]

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\

Future value of annuity (FV) = $13,782.12 (Approx)

7 0
2 years ago
Barry's final score is 45 which player had the greater final score?
natali 33 [55]

The player with the greater final score is of:

Barry.

<h3>How to obtain which player had the greater final score?</h3>

Barry's final score is given as follows:

45.

Then we have to obtain Lee's score, from the description given in the missing information section.

Lee's scored is obtained as follows:

  • Starts at -350.
  • Answers a 275-point question correctly, hence - 350 + 275 = -75.
  • Answers a 70 - point question correctly, hence -75 + 70 = -5.
  • Answers a 50 - point question incorrectly, hence: -5 - 50 = -55.

Thus Lee's final score is given as follows:

-55.

The classifications of the final scores according to the signals are given as follows:

  • Barry: positive score.
  • Lee: negative score.

A positive score will always be greater than a negative score, hence Barry had the greater final score.

<h3>Missing information</h3>

Lee and Barry play a trivia game in which questions are worth different numbers of points. If a question is answered correctly, a player earns points. If a question is answered incorrectly, the player loses points. Lee currently has -350 points.

a. Before the game ends, Lee answers a 275 -point question correctly, a 70 -point question correctly, and a 50 -polnt question incorrectly. Write and find the value of an expression to find Lee's final score.

b. Barry's final score is 45. Which player had the greater final score?

More can be learned about addition of measures at brainly.com/question/24342899

#SPJ1

5 0
1 year ago
2. What is the x-value to the solution for the system of equations y = -5x - 9 and y = 2x<br> + 5.
pav-90 [236]

Answer:

The x-value is -2

Step-by-step explanation:

U can substitute any of the equations for y

-5x + (-9) = 2x + 5

-9 = 7x + 5

-14 = 7x

-2 = x

x = 2

7 0
2 years ago
The triangles are similar. If KL = 5, JL = 6, and PM = 9, find PN. Round to the nearest tenth.
Pachacha [2.7K]
If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.

5/6 = x/9, where x is the length for side PN

Transposing the equation so that x is on the left side:

x = (5/6)*9
x = 7.5
6 0
3 years ago
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengt
alukav5142 [94]

Answer:

Option E.

Step-by-step explanation:

Let the intended length of Rebecca's swimming is = x units

and we assume the length of the pool = l units

Now it is given in the question that " She covers one fifth of her intended distance "

That means distance covered = \frac{x}{5}

" After swimming six more lengths of the pool she had covered one quarter of her intended distance"

So \frac{x}{5}+6(l)=\frac{x}{4}

6l=\frac{x}{4}-\frac{x}{5}

6l=\frac{x}{20}

x = 20×(6l)

x = 120l

Therefore, Rebecca has to complete 120 lengths of the pool.

Option E is the answer.

4 0
2 years ago
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