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mixer [17]
3 years ago
11

Which of the following are solutions to the quadratic equation below? x^2+7x-8=0

Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

x=1, −8

Step-by-step explanation:

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=1 , b=7, and c=−8 into the quadratic formula and solve for x.

(−7±√7²−4⋅(1⋅−8))/2⋅1

Simplify. x=(−7±9)/2

The final answer is the combination of both solutions. x=1,−8

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Solve for c: c=5 5/6 x 2
Marina86 [1]

Hi there!

c=11 2/3

<u><em>1.Convert 5 5/6 into mixed number:</em></u>

<u><em /></u>5 \frac{5}{6}=\frac{35}{6}<u><em /></u>

<u><em>2.Convert 2 into fraction term:</em></u>

<u><em /></u>2=\frac{2}{1}<u><em /></u>

<u><em>3.Convert both fraction into same denominator:</em></u>

<u><em /></u>\frac{35}{6}=\frac{35}{6}<u><em /></u>

<u><em /></u>\frac{2}{1}=\frac{12}{6}<u><em /></u>

<u><em>4.Multiply the two terms:</em></u>

<u><em /></u>\frac{35}{6}<u><em>·</em></u>\frac{12}{6}=\frac{70}{6}<u><em /></u>

<u><em>5.Simplfly the fraction term:</em></u>

<u><em /></u>\frac{70}{6}=\frac{35}{3}<u><em /></u>

<u><em /></u>\frac{35}{3}=11 \frac{2}{3}<u><em /></u>

Therefore, c=11 2/3.

<u><em /></u>

4 0
3 years ago
Which expression is equivalent to 12x+(−7)−214x−(−2)?
zalisa [80]

Answer:

based on your expression none of the solution is possible

Step-by-step explanation:

12x+(−7)−214x−(−2)

12x-7-214x+2

combine like terms

-202x-5

3 0
3 years ago
Help its a testtttttt
lina2011 [118]

Answer:

1 1/4

Step-by-step explanation:

1/4 times 5 is 1 1/4 think of it like quarters if you had 5 quarters it you would have 1.25 which translates to 1 1/4 because you would have a full dollar from 4 quarters andca left over quarter

5 0
2 years ago
Read 2 more answers
Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than
Zepler [3.9K]

Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

For the system, we consider that:

  • x is the number of books on the first shelf.
  • y is the number of books on the second shelf.
  • z is the number of books on the third shelf.

In total, there are 152 books, hence:

x + y + z = 152

The first shelf has 7 fewer books than the second shelf, hence:

x = y - 7

Also, it has 11 more books than the third shelf, hence:

x = z + 11

Then:

y - 7 = z + 11

z = y - 18

Then, replacing in the first equation:

x + y + z = 152

y - 7 + y + y - 18 = 152

3y = 177

y = \frac{177}{3}

y = 59

The number of books in each shelf has to be countable, that is, cannot be decimal.

  • Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at brainly.com/question/14183076

7 0
2 years ago
The measure of an angle is 8 degrees less than three times the measure another angle. If the two angles are supplementary, what
slamgirl [31]
Small angle - x
large angle - 3x-8
supplementary = sum of this angles = 180
x+3x-8=180
4x-8=180
4x=188
x=47  
large angle  3x-8=3*47-8= 133°
check: 133+47=180



3 0
3 years ago
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