All categories

3 years ago

Can anyone help?....

Mathematics

2 answers:

stepan [7]3 years ago

8 0

The answer two this question is C.

You can get this answer by multiplying the two polynomials and then simplifying. See the steps below:
(4x^2 - 5)(x + 3) ---> Now multiply the two parenthesis.
4x^3 - 5x + 12x^2 - 15 ---> Arrange the numbers by decreasing exponents.
4x^3 + 12x^2 - 5x - 15

No simplifying can be done since there are no like terms.

Vlad1618 [11]3 years ago

7 0

Answer: $fg(x)=4x^3+12x^2-5x-15$

Step-by-step explanation:

Given: $f(x)=4x^2-5\text{ and } g(x)=x+3$

We know that for any function f(x) and g(x), the multiplication function (fg) (x) is given by :-

$fg(x)=f(x)g(x)$

Now, for the given functions, we have

$fg(x)=(4x^2-5)(x+3)\\\\\Rightarrow\ fg(x)=4x^2(x+3)-5(x+3)\\\\\Rightarrow\ fg(x)=4x^3+12x^2-5x-15$

You might be interested in

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

The square root of which of the following integers is between 7 and 8

pashok25 [27]

Answer:

the square root of 50 and 60

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which is a factor pair of 72 ? A. 12, 6 B. 14, 5 C. 23, 4 D. 24, 2

sineoko [7]

Answer:

Step-by-step explanation:

12x6=72

4 0

2 years ago

Read 2 more answers

Find the value of x and y

bagirrra123 [75]

According to google, the red marks mean those two lines are the same length. If that's the case, we know that x is the angle in both corners of the lower triangle. We also know that because the angle of a straight line is 180, that the top angle of the bottom triangle is 140, because it's divided into two parts, one of which is 40. That leaves 140 for the rest. Now we know that there are 180 degrees in a triangle so x=(180-140)/2 = x=20degrees.
The right angle in the left corner is 90 degrees. It is divided in two parts, the lower one of which we just found to be 20. So the other part must by 70deg.
So for the upper angle y, we have 180-70-40= y=70degrees

7 0

3 years ago

What is half of 215 ?

bogdanovich [222]

Answer:

107.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers