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Rainbow [258]
3 years ago
5

Which of the following shows the factors of 5x2 + 17x + 6? A. (5x + 1)(x + 6) B. (5x + 2)(x + 3) C. (5x + 3)(x + 2) D. (5x + 6)(

x + 1)
Mathematics
2 answers:
zysi [14]3 years ago
5 0

Answer:

B. (x+3)(5x+2)

Step-by-step explanation:

The given quadratic trinomial is;

5x^2+17x+6

Comparing this to ax^2+bx+c, we have a=5,b=17,c=6.

ac=5\times6=30

Two factors of 30 that add up to 17 is 15  and 2.

We split the middle term to obtain;

5x^2+15x+2x+6

We factor by grouping;

5x(x+3)+2(x+3)

Factor further

(x+3)(5x+2)

The correct answer is B.

Nonamiya [84]3 years ago
3 0

Answer:

B. (5x + 2)(x + 3)

Step-by-step explanation:

The given quadratic trinomial is;

Comparing this to , we have a=5,b=17,c=6.

Two factors of 30 that add up to 17 is 15  and 2.

We split the middle term to obtain;

We factor by grouping;

Factor further

The correct answer is B.

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Y is directly related to x and y is 81 when x is 27 the constant of.variation is
suter [353]

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

y=81

x=27

And y is directly related to x

y ∝ x

Here k is constant of variation

y=kx

k=\frac{y}{x}--------------(1)

Put the y and x value in equation 1.

k=\frac{81}{27}

k=3

So, the constant of variation is 3.

6 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 7
Zinaida [17]

Answer:

2967 yes votes

Step-by-step explanation:

Welcome to Brainly!

One way of doing this problem follows:

Find the ratio, r, mentioned in the problem statement.  To do this,

write the equation 3r + 5r = 7912 and solve this for r:

8r = 7912, so that r = 989.

Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.

check:  Does the ratio 2967/4947 equal 3/5?  yes.

There were 2967 yes votes.

8 0
3 years ago
2x+3y=12 complete the missing value in the solution to the equation
likoan [24]

Answer:

(-6,8) is your answer.

Step-by-step explanation:

1. 2x + 3y = 12

2. 2x +3 * 8 = 12

3. 2x + 24 = 12

4. 2x = -12

5. x = -6

So, our final answer is (-6,8)

6 0
3 years ago
M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link
VashaNatasha [74]

Answer:

y = kx+b

Step-by-step explanation:

use dis

6 0
3 years ago
Identify all factors of the expression 4x^2+17x-15
pickupchik [31]

Answer:

d and e

Step-by-step explanation:

To factor 4x² + 17x - 15

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 4 × - 15 = - 60 and sum = + 17

The factors are + 20 and - 3

Use these factors to split the middle term

4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )

= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )

= (x + 5)(4x - 3) → d/e


6 0
4 years ago
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