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Ostrovityanka [42]
3 years ago
7

Factor. d^2 + 5d + 4

Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

<em><u>(d+1)(d+4)    if i can get brainliest that would be great</u></em>

Step-by-step explanation:

The middle number is 5 and the last number is 4.

Factoring means we want something like

(d+_)(d+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get 4

Can you think of the two numbers?

Try 1 and 4:

1+4 = 5

1*4 = 4

Fill in the blanks in

(d+_)(d+_)

with 1 and 4 to get...

(d+1)(d+4)

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4 0
2 years ago
The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

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Answer:

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Step-by-step explanation:

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