All categories

3 years ago

Select the correct answer. Simplify the expression below. 4x(3x − 7) − 19x2 A. -7x2 − 7 B. -35x2 C. -7x2 − 28x D. -31x2 − 28x

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Answer:

$C. -7x^2-28x$

Step-by-step explanation:

The given expression is $4x(3x-7)-19x^2$

We apply the distributive property to expand the parenthesis

$12x^2-28x-19x^2$

Regroup similar terms to get:

$12x^2-19x^2-28x$

Combine the similar terms to obtain:

$-7x^2-28x$

The correct option is C.

You might be interested in

Chris plans to buy a car that depreciates in value at a rate of 10% per year. If the car initially costs $32,000. How much will

VLD [36.1K]

The car would be worth $16,000 after 5 years.

5 0

3 years ago

Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability

krok68 [10]

Answer:

$P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}$

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

$P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}$

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

So for this case we can solve for P(A) like this:

$P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}$

And now we can find $P(A \cup B)$ using the total probability rul given by:

$P(A \cup B) = P(A)+P(B) -P(A \cap B)$

And if we replace the values given we got:

$P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}$

And that would be the final answer.

5 0

3 years ago

So if a shark bites you do you bite it back. and what hit you in the face last night addicted

hram777 [196]

Answer:

I dont know what to say

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Given the following diagram, enter the required information.

Verizon [17]

∠СXA = ∠BXA + ∠СXB = 30°20' + 40°35' = 70°55'

6 0

3 years ago

The length of a rectangle is 3 meters more than twice its width.The perimeter of the rectangle is 48 meters. Let W represent the

lord [1]

Perimeter of a rectangle: 2(l+w)

Let width be 'x'

Length is 3 meters more than twice 'x'
Length= 2x+3.

L= x
W = 2x+3

Formula =
2(x+2x+3)
2(3x+3)
6x+6.
6(x+1)

8 0

4 years ago