What is the value of y

F as a function of x is equal to the square root of quantity 6 x plus 9 , f as a function of x is equal to the square root of qu

Elis [28]

Answer:

A. $\sqrt{6x+9} +\sqrt{6x-9}$

Step-by-step explanation:

We are given the functions f(x) and g(x) as,

$f(x)=\sqrt{6x+9}$

$g(x)=\sqrt{6x-9}$

It is required to find the function ( f+g ) i.e. ( f+g ) (x)

So, $(f+g)(x)=f(x)+g(x)$

i.e. $(f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}$

Hence, we get that $(f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}$ .

So, the first option is correct.

4 0

3 years ago

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate

lakkis [162]

Answer:

See explanation

Step-by-step explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

8 0

3 years ago

BRAINLIEST + POINTS

Amanda [17]

The company matches up to 8%.

Multiply her salary by 8%:

66410 x 0.08 = $5,312.80

Her company will match 50% ( which is half the amount)

Divide the 8% total by 2:

5312.80 / 2 = 2656.40

The answer is B.

5 0

3 years ago

On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum

Ket [755]

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107 + _26 = 826

350 + _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157 + _26 = 826

400 + _26 = 826

_26 = 826 - 400

_26 = 426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two covered digits are = 5 + 4 = 9

7 0

3 years ago

Yolanda starts at the gym and works out a training plan. She wants to cycle a total of 120 miles. If she goes to the gym 3 times

choli [55]

Answer: 5 miles

Step-by-step explanation: If she goes 3 times a week for 8 weeks she goes for a total of 24 days. In those 24 days she wants to bike 120 miles. Divide 120 by 24. You get 5. Therefore she needs to bike 5 miles each day she goes to the gym to achieve her goal.

8 0

3 years ago