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PilotLPTM [1.2K]
2 years ago
10

If f(x) = 3^x + 10 and g(x) = 2x − 4, find (ƒ+g)(x)

Mathematics
1 answer:
galina1969 [7]2 years ago
6 0

Answer:

3^x+12x-4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = 3^x + 10x + 2x - 4 = 3^x + 12x - 4

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A town determined that the function f(x) - 820(0.977* models the number of speeding tickets issued in the town x years after 200
Rom4ik [11]

Answer:D The number of tickets is increasing by 97% each year

Step-by-step explanation:

The rate of change is (0.97). You change that decimal into a percent To get your percentage rate / increase rate...I think

3 0
3 years ago
Which expression represents "5 times the sum of 4 and y?"
laila [671]
5(4+y) is the correct answer, you would be adding 4 and y then multiplying the sum by 5
7 0
3 years ago
How can you know if this equation is true?
faltersainse [42]
Notice how 1/2 and 3/8 are positive numbers. We add two positive numbers meaning that the result should be larger. However 2/5 = 0.4 is not larger than 1/2 = 0.5

So something went wrong with the adding. It turns out that the error is when the person added the numbers in the denominators (2 and 8 to get 10). This is not allowed. The denominators must be the same and stay the same in order for the fractions to be added.

For example: 1/7 + 2/7 = (1+2)/7 = 3/7
The 7s in the denominator do not change

Therefore the answer is choice B) Not true because 2/5 < 1/2
4 0
3 years ago
Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.
Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

3 0
3 years ago
Can anyone help me with this question please ? <br> I’ll mark you as a brainliest
DanielleElmas [232]
B is the answer i beleive
4 0
3 years ago
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