MATHEMATICS HIGH SCHOOL

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:f(x) = 6x + 3
g(x) = x − 7
4
17
25
31

Answers

Answer 1

Answer:

Answer:

Option B is correct

$(f+g)(3)$ = 17

Step-by-step explanation:

Given the functions:

f(x) = 6x+3

g(x) = x-7

Solve: $(f+g)(3)$

First do:

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

Substitute the given values we have;

$(f+g)(x) = 6x+3+x-7 = 7x-4$

Put x = 3 above we have;

$(f+g)(3) = 7(3)-4 = 21-4=17$

Therefore, the value of $(f+g)(3)$ is 17

Answer 2

Answer: (f+g)(3) = f(3) + g(3) = 6(3) + 3 + 3 -7 = 18 +6 -7 = 17.

Answer: 17

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Leon left a 15% tip for a meal. the total cost of the meal including the tip was $41.40. What was the cost the meal before the tip was added?

Answers

% * whole = part
0.15 * 41.40 = 6.21
6.21 is the tip.
41.40 - 6.21 = 35.19
The cost is $35.19

Solve the system of equations using substitution.
3x + 2y = 7
y = –3x + 11

Answers

3x + 2y = 7
y = -3x + 11

Solve the system of equation using substitution.

Substitute the y in the first equation by its value presented in the 2nd equation.

3x + 2y = 7
3x + 2(-3x + 11) = 7
3x - 6x + 22 = 7
-3x + 22 = 7
-3x = 7 - 22
-3x = -15
-3x/-3 = -15/-3
x = 5

Substitute x in the 2nd equation by its computed value. x = 5
y = -3x + 11
y = -3(5) + 11
y = -15 + 11
y = -4

x = 5 ; y = -4

Substitute x and y in the 1st equation with its corresponding values

3x + 2y = 7
3(5) + 2(-4) = 7
15 - 8 = 7
7 = 7

A trip to Portland, Oregon, from Boston will take 7 3/4 hours. Assuming we are two-thirds of the way there, how much longer in hours will the trip take?

Answers

First turn 7 hours and 3/4 hours into a decimal number. This will help when doing equations (the work).

This means finding the decimal value of 3/4. 3 divided by four is .75, which means that's the decimal value. Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!

Whats 2+34233-2943+291*45=

what the anwser??????????????

Answers

Answer:

44387

Step-by-step explanation:

Answer:

1421235

Step-by-step explanation:

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 x 45 = 1421235

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 ➗ 45 = 701.844444444

If its multiplication the answer is = 1421235

If division the answer is = 701.844444444 (calculator) or 701 r 38 (my brain)

Question: 11.23 x 10 to the power of 5, the answer is 11.2300000.

Explanation: multiple 10 x 10 x 10 x 10 x 10 = 10,000, then multiple 11.23 x 10,000 = 112300000, add the decimal places = 11.2300000.

Question: 11/20 a repeating or terminating decimal,

Answer: is terminating.

Question: 7 * 73 + 43, the answer is 554.

Explanation: multiple 7 x 73 = 511 + 43 = 554. If division then divide 7 into 73 = 10.4285714286 + 43 = 53.4285714286 (calculator answer). 7 into 73 = 1 r 3 = 1.3 + 43 = 44.3 or 44 r 3 (my brain answer).

I know some of the questions arent part of the asked one, but the plataform didnt let me answer them any but here.

I know I asnwered it too late, sorry.

A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee and also a per-second fee for the air time of each commercial. The cost can be modeled by the equation y = 250 + 100x, where x is seconds.What is the slope, and what does it represent?

250; it represents the per-second fee of air time
250; it represents the one-time campaign fee
100; it represents the one-time campaign fee
100; it represents the per-second fee of air time