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Mama L [17]
3 years ago
6

Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Answer:

  (5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

  -1+40 ≠ 6

  -8+5 ≠ 6

  -4+10 = 6 . . . . . the third selection is the one you want

  -2+20 ≠ 6

Karo-lina-s [1.5K]3 years ago
5 0

Answer:  The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation:  We are given to determine the factors of the following quadratic expression :

E=5x^2+6x-8.

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

5x^2+6x-8=(5x-4)(x+2).

Option (C) is CORRECT.

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An animal shelter rescues cats and dogs only. Currently the animal shelter has 121 animals. The amount of dogs is 6 more than 4
aleksklad [387]

Answer:

In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 12 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?

A. 15

B. 25

C. 30

D. 45

E. 60

3 0
3 years ago
Use the triangle to answer the question. What is the value of x?
Black_prince [1.1K]

Answer:

B). 48

Step-by-step explanation:

48•64=3072

3072÷64=48

3 0
2 years ago
Read 2 more answers
Is -0.3 with the line over the 3, a rational, irrational number or integer?​
IrinaK [193]

Answer:

rational because the line over the three means the three repeats

decimal values that terminate or repeat are rational

Step-by-step explanation:

4 0
3 years ago
Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn
denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

​

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

​

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

​

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0
3 years ago
What is 15×70?????????
I am Lyosha [343]
Fifthteen(15)xseventy (70)= 1,050
6 0
3 years ago
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