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Whitepunk [10]
3 years ago
7

Let f(x)=x2+15x+56

Mathematics
2 answers:
Ivan3 years ago
6 0

Answer:

-8, -7

Step-by-step explanation:

f(x)=x^2+15x+56

0 =x^2+15x+56

What two numbers multiply together to make 56 and add together to 15

7*8 = 56

7+8=15

0 = (x+8) (x+7)

Then use the zero product property

x+8 =0     x+7 =0

x+8-8 =0-8        x+7-7 =0-7

x=-8                      x=-7

kvv77 [185]3 years ago
6 0

Answer:

-7 , -8

Step-by-step explanation:

x² + 15x + 56 = 0

x² + 7x + 8x + 56 = 0

x(x + 7) + 8(x + 7) = 0

(x + 7)(x + 8) = 0

x = -7 , -8

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Which mathematical symbol would best fill in the blank to compare the two real numbers?
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Answer:

squareroot of 7 < 14/5

Step-by-step explanation:

We are given that two real numbers

squareroot of 7 and 14/5

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In order to compare the given real number we will find the value of given real numbers .

Value of squareroot of 7 = 2.646

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Value of 2.645 is less than 2.8.

Hence,  squareroot of 7 is less than 14/5

hope i helped! :D

-strawbxrrywine on IG

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3 years ago
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle
Dovator [93]

\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

Therefore the angle of depression from the lifeguard to the boy is 24°.

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Step-by-step explanation:

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