Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. (1 point)

Mathematics

1 answer:

likoan [24]3 years ago

5 0

Correct option is

Correct option isC

Correct option isC3(2x+1)

Correct option isC3(2x+1)(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

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If the area of a rectangle is 12cm2 what could its length be and its width?

lawyer [7]

Hello,

We know that th formula for the area of a rectangle is: $A=b*h$
Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets: $b*h=12 cm^{2}$
for example:
$lenght= \frac{12}{3}cm \,\,\,\,\,\,and\,\,\,\,width= 3 cm \\ \\ A=\frac{12}{3}cm*3cm \\ A=12 cm^{2}$

But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.

12 | 2
6 | 2
3 | 3
1

12= 2 *2*3

first option:
12=4*3

Answer: lenght= 4cm and width= 3cm or vice versa

second option:
12=2*6

Answer: lenght= 6cm and width= 2cm <span>or vice versa</span>

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3 years ago

Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from

ikadub [295]

Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

$\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1$

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

$\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}$

Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.

$1+1=2$

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.

$2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}$

9/4 is the y-coordinate of the new point.

<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>

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3 years ago

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madreJ [45]

Answer:

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3 years ago

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Which expression shows how to convert 60 hours to days

torisob [31]

Answer

60 hours = 2.5 days

Step-by-step explanation:

1 day = 24 hours

2 days = 48 hours

3 days = 72 hours