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Natasha_Volkova [10]
4 years ago
14

Which of the following is a solution to the equation 0 = x2 – 8x – 13?

Mathematics
1 answer:
Fed [463]4 years ago
5 0

Answer:

x= 32 ± √29

Step-by-step explanation:

x² - 8x - 13 = 0

ax² + bx + c = 0

Comparing equations we get,

a=1

b=(-8)

c=(-13)

Using quadratic formula,

________

x= b² ± √ b²-4ac

—————————

2a

Substituting the values

__________

x= 64 ± √( 64 + 52)

______________

2

= 32 ± √29

Hope this answer helps you....

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Step-by-step explanation:

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3 years ago
A large interquartile range shows the data is
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A large interquartile range shows the range in values of the central 50% of the data.

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3 years ago
The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c
mixer [17]

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

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7 0
3 years ago
5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
kaheart [24]

Answer:

<h3>- \frac{8}{3}  \geqslant x   \geqslant - \frac{13}{3}</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • solving inequality
  • PEMDAS
<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

the direction of the inequality does change

if you

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

step - 1 : difine

5 \leqslant  - 3x - 3 \leqslant 10

step - 2 :  \\ add \: 3 \: in \: each \: sides

5 + 3 \leqslant  - 3x - 3 + 3 \leqslant 10 + 3

8 \leqslant  - 3x \leqslant 13

step - 3 :  \\ divide  \:  - 3\: from \: each \: sides \:  \\ and \: swap \: the \: inequalily

\therefore -  \frac{8}{3} \geqslant x \geqslant   - \frac{13}{3}

5 0
3 years ago
Which number sentence below matches this word problem? Jen and Marcus got 15 miles up river before they ran out of gas. They flo
Mars2501 [29]
They flowed 15 miles UP.
This is equivalent to a positive 15.
Then 9 miles DOWN.
This is equivalent to a negative 9.
Now put these two numbers together.
15-9

So, c. 15-9=6
5 0
3 years ago
Read 2 more answers
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