Select the correct answer.

enot [183]

Answer:

A

Step-by-step explanation:

You can eliminate B and D because it’s using $\frac{g}{f}$ , but the question is asking $\frac{f}{g}$ . So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ $\sqrt{7}$ part of it is what makes it true.

The reason being is that the only thing that won’t make $\frac{2x+1}{x^{2}-7 }$ true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug $\sqrt{7}$ for x in the denominator you get: $\sqrt{7^{2} } -7$ . The $\sqrt{7^{2} }$ part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal $\sqrt{7}$ .

So the answer is A: $\frac{2x+1}{x^{2}-7}$ , $x\neq$ ± $\sqrt{7}$

There you go my friend!

I hope you understand and that this helps with your question! :)

7 0

3 years ago

Simplify the expressions. i32 = i25 = i86 = i51 =

maw [93]

Simplify the expression using the definition of an imaginary number i = sqrt -1

i32 = 1

i25 = i

i86 = -1

i51 = -i

3 0

3 years ago

30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

A student's grade for the four quarters are 95, 83, 91, and 85. What does the student need to earn on the final exam to have an

gulaghasi [49]

Answer:

The least score the student can get is 71 to get an overall B average at the end of the year.

Step-by-step explanation:

Let the score she needs to get be = x

We now have to take the mean of all the five subjects (including x) and equate it to the least score she can have to get a B grade.

Let us take the least score the student needs to get a B grade to be 85

Mean of all 5 scores =

$\frac{95+83+91+85+x}{5}=85$

$\frac{354+x}{5} =85$

$354+x = 425$

$x = 71$

The least score the student can get is 71 to get an overall B average at the end of the year.

3 0

3 years ago

Pat wants to measure the length of a table. She'll use a measuring tape. Which units should Pat use to express the length?

Alexxx [7]

Answer:

centimeters

Step-by-step explanation:

6 0

3 years ago