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wariber [46]
3 years ago
9

F(x) = 2x + 2 and g(x) = 7x + 1, which composition produces the greatest output

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
The correct answer would be g(x).

Notice that g(x) has a greater slope than f(x), which would make the line, if it were to be graphed, steeper, which means it increases at a faster rate.

To prove that g(x) has a greater output, you can plug in values into x to see which equation has the greater output.

Let's start with the number 1:
2(1)+2=4
7(1)+1=8

Then you can try other numbers such as 10 to see if this trend continues:
2(10)+2=22
7(10)+1=71

As you have seen, g(x) appears to have the greater output.

Hope this helps!
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Algebra isn’t my best subject, please help
kogti [31]

The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.

So in this problem, 2(5 + 7) can be simplified by distributing the

2 through both terms that are inside the set of parenthses.

So we have (2 · 5) + (2 · 7).

8 0
3 years ago
Can anyone PLEASE HELP ME!!!????
Agata [3.3K]
The measure angle CD is 180 degrees be uase a straight line is 180 degrees and the measure of angle bpd is 64 degrees because both angles are on a straight line which is 180 degrees so 180-116=64 so the measure is 64.
4 0
3 years ago
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho
padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0
3 years ago
David earns $15 per hour working at a bowling alley. This week, he earned $180, how many hours did he work? Choose the correct e
vovangra [49]

Answer:12 hrs

Step-by-step explanation: $15 per hour -> $180/$15 = 12 hours

8 0
2 years ago
Read 2 more answers
Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.
Ber [7]

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

6 0
3 years ago
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