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4 years ago

What is the completely factored form of the expression 16x2 + 8x + 32?

1 answer:

7 0

<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>

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Does the following table shows a proportional relationship between the variables g & h

KATRIN_1 [288]

*the table being referred to is attached below

Answer:

The table does not show a proportional relationship between variable g and h.

Step-by-step explanation:

For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.

Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.

Thus, $\frac{9}{3}$ ≠ $\frac{36}{6}$ ≠ $\frac{81}{9}$

4 0

3 years ago

Read 2 more answers

What is the contrapositive of the statement below?

algol13

Answer:

B. -y = -x

Step-by-step explanation:

When the values on both sides of the equal sign are changed, it becomes a negative number.

6 0

2 years ago

a photograph is printed in the center of a piece of paper measuring 7 cm by (x + 8) cm. The photo measures 5 cm by (x +6) cm . T

Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².

To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.

The area of the paper:

A = 7 · (x + 8)

The area of the photo:

A = 5 · (x + 6)

Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

[area of paper - area of photo = area of border]

Since you know the area of the border, you can plug it in:

(7 · (x + 8)) - (5 · (x + 6)) = 50

Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

(7x + 56) - (5x + 30) = 50

Distribute/multiply the - to (5x + 30)

7x + 56 - 5x - 30 = 50

Combine like terms

2x + 26 = 50

Subtract 26 on both sides

2x = 24

Divide 2 on both sides

x = 12

7 0

3 years ago

-4/3,4/9,-4/27,4/81,-4/243...<br><br> what is the common ratio! HELP ASAP

kaheart [24]

Answer: The common ratio is -1/3

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Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

3 0

3 years ago

Please answer correctly as soon as possible!! I will give you brainliest

STatiana [176]

Answer: bAKAKAKAKAKAKAKAK ✔

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers