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3 years ago

F(x)=x2. What is g(x)?

Mathematics

1 answer:

elena-s [515]3 years ago

8 0

Answer:

The answer is C.

Step-by-step explanation:

Solve the question by comparing the two graphs, at point x = 2, f(x) is 4 and g(x) is 1. so you see denote that g(x) = one-fourth of F(x)

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Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

3 years ago

Is this Wright 80 - 65% new number

laila [671]

Subtract 80 _ 65 and get 15

5 0

3 years ago

Read 2 more answers

Levi invested $160 in an account paying an interest rate of 3% compounded daily.

In-s [12.5K]

Answer:

The amount is $200.00 and the interest is $40.00

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A train traveling at a constant speed takes a passenger from Elm to Millwood, stopping at Centre along the way. It takes 2004-01

ZanzabumX [31]

The complete problem is as following:
A train traveling at a constant speed takes a passenger from Elm to Millwood, stopping at Centre along the way. It takes 5 times as long to go from Centre to Millwood as it does to go from Elm to Centre. The entire trip is 48 miles. How far is the ride from Centre to Millwood? Name a geometric postulate or theorem used to find the solution.
A) 8 miles ; segment addition postulate
B) 8 miles; segment bisector theorem
C) 40 miles; segment addition postulate
D) 40 miles; segment bisector theorem
=======================================================
Solution ;
Let the time taken from Elm to Centre = x ⇒⇒⇒ segment (1)

∴ the time taken from Centre to Millwood = 5x ⇒⇒⇒ segment (2)

∴ Total time of all the trip = x + 5x = 6x
The entire trip is 48 miles and the train traveling with constant speed
∴ speed = distance over the time = $\frac{48}{6x} = \frac{8}{x}$
So, the distance from Centre to Millwood = speed * time = $\frac{8}{x} * 5x = \framebox{40 \ miles}$
As seen in the answer, we have added the segment (1) to segment (2)
So, The geometric postulate used to find the solution is segment addition postulate

So, the correct option is C) 40 miles; segment addition postulate

=======================================================
Another solution :
From Elm to Centre = x ⇒⇒⇒ segment (1)
From Centre to Millwood = 5x ⇒⇒⇒ segment (2)
∵ The train traveling with constant speed
∴ Distance is proportional with the time
By using the ratio and proportional as following

$Segment (1) : segment (2) : Total \\ \ \ 
. \ \ \ \ \ \ \ x \ \ \ \ \ \ : \ \ \ \ \ 5x \ \ \ \ \ \ \ : \ \ 6x \\
. \ \ \ \ \ \ \ ? \ \ \ \ \ \ : \ \ \ \ \ \ \ ? \ \ \ \ \ \ \ \ : \ \ \ 48$

∴ segment (2) = $\frac{48 * 5x}{6x} = \framebox {40 miles}
$

we have used the postulate of segment addition to add x and 5x.

So, the correct option is C) 40 miles; segment addition postulate

4 0

3 years ago

How is the process of isolating a variable in these literal equations similar to solving a one-step equation? How is it differen

Phantasy [73]

Answer:

It is similar in that you have to move everything to one side and get rid of coefficients on the variable.

It is different in that you aren't solving for the actual numerical value of the variable and are just solving in terms of other variables.

Step-by-step explanation:

One step equations and literal equations both are similar because you have to move everything to the other side to isolate the variable, and also divide or multiply to get rid of any coefficients on the variable to solve it.

However, they are different because one-step equations actually need you to solve for the numerical value of the variable. On the other hand, literal equations aren't solved completely and are not numerical answers, it is just the variable solved in terms of other variables.

4 0

3 years ago