Ask question

Ask question

All categories

2 years ago

9

PLEASE ANSWER + BRAINLIEST !! (show work)

1 answer:

e-lub [12.9K]2 years ago

8 0

The missing value could be 16 or 19; if it is 16, the binomials would be
4(x+3)(x+1). If it is 19, the binomials would be (x+4)(4x+3).

To factor these, we want factors of a*c that sum to b; in this trinomial, a*c is 4(12)=48. If we use 12 and 4 to make 48, this would give a b value of 16:
4x²+16x+12

These two factors will be how we "split up" bx:
4x²+12x+4x+12

Now we group together the first two and last two:
(4x²+12x)+(4x+12)

Factor out the GCF of each group:
4x(x+3)+4(x+3)

Factor out the GCF of this new expression:
(x+3)(4x+4)

In the last binomial, they are both divisible by 4, so factor this out:
4(x+1)(x+3)

If we use 16*3 to make 48, this would give us a b value of 19; we would "split up" bx as follows:
4x²+16x+3x+12

Group:
(4x²+16x)+(3x+12)

Factor out the GCF:
4x(x+4)+3(x+4)

Factor out the GCF again:
(x+4)(4x+3)

You might be interested in

Rationalize the denominator and simplify. √6/√5-√3

Ann [662]

I hope this is useful

3 0

3 years ago

I NEED THIS ANSWER ASAP(1000-???)=487

lakkis [162]

Answer:

The answer is 513

Step-by-step explanation:

To get this answer you can subtract 487 from 1000 and then put the answer in the missing place!

-Hope this helps-

Bai~

5 0

2 years ago

Read 2 more answers

PLEASE HELPPPP!

nirvana33 [79]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Latrice is given an unknown substance and is asked to identify is based on his properties. She measures its mass as 239.6grams.

Iteru [2.4K]

Answer:

density =8.87g/cm³

From chart the density shows that it is a Colsibro copper alloy, a precipitation hardening copper nickel silicon.

Step-by-step explanation:

This problem bothers on the density of substances

Given data

Mass m of substance = 239.6grams

length l=3cm

width b=3cm

height h=3cm

Volume of substance =l*b*h

=3*3*3=27cm³

We know that the density of the substance ρ=mass/volume

ρ= 239.6/27= 8.87g/cm³

8 0

3 years ago

An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i

AURORKA [14]

Answer:

a

The average cost is $E(C) = 66$

b

The standard deviation of cost is $\sigma = 9.798$

Step-by-step explanation:

From the question we are told that

$E(X) = 4$

$E(Y) = 2$

$E(X^2) = 24$

$E(Y^2) = 8$

The cost of replacing the two component is C = 50 + 2 X + 4 Y

The variance of X is mathematically represented as

V(X) = $E(X^2) - [E(X)]^2$

Substituting values

$V[X] = 24 - 4^2$

$V[X] =8$

The variance of Y is mathematically represented as

V(Y) = $E(Y^2) - [E(Y)]^2$

Substituting values

$V[Y] = 8 - 2^2$

$V[X] =4$

The average of replacing the two component is

$E(C) = 2 * E(X) + 4* E(Y)$

substituting value

$E(C) = 50 + 2 * (4) + 4* (2)$

$E(C) = 66$

The variance of replacing the two component is

$V(C) = V(50 + 2X +4Y)$ Note: The variance of constant is zero

and X and Y are independent

=> $V(C) = 2^2 * V(X) + 4^2 * V(Y)$

substituting values

=> $V(C) = 4 * 8 + 16 * 4$

=> $V(C) = 32 + 64$

=> $V(C) = 96$

The standard deviation is

$\sigma = \sqrt{V(C)}$

substituting values

$\sigma = \sqrt{96}$

$\sigma = 9.798$

6 0

2 years ago