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3 years ago

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

1.Convert 5 5/6 into mixed number:

$5 \frac{5}{6}=\frac{35}{6}$

2.Convert 2 into fraction term:

$2=\frac{2}{1}$

3.Convert both fraction into same denominator:

$\frac{35}{6}=\frac{35}{6}$

$\frac{2}{1}=\frac{12}{6}$

4.Multiply the two terms:

$\frac{35}{6}$ · $\frac{12}{6}=\frac{70}{6}$

5.Simplfly the fraction term:

$\frac{70}{6}=\frac{35}{3}$

$\frac{35}{3}=11 \frac{2}{3}$

Therefore, c=11 2/3.

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 since the solution of the system does not involve decimal numbers, 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, since the solution of the system does not involve decimal numbers, 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