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svlad2 [7]
3 years ago
10

A linear function is represented by the equation y = 12x + 8. What is the difference between the y-values of the function at two

consecutive integer x-values?
Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

  • 12

Step-by-step explanation:

<u>Let the consecutive x-values be n and n+1, then the difference between y-values:</u>

  • 12(n+1) + 8 - (12n + 8) =
  • 12n + 12 + 8 -12n - 8 =
  • 12
You might be interested in
40 + 2b3 when<br> b = 5 and c= 1.2
kramer

9514 1404 393

Answer:

  254.8

Step-by-step explanation:

Substitute the numbers where the variables are and do the arithmetic.

  4c +2b³ = 4(1.2) +2(5³) = 4.8 +250 = 254.8

__

It can also work to let a calculator or spreadsheet do the math for you, once you specify the function.

8 0
3 years ago
What is the answer to the equation: 6/4=15/x ?
Nat2105 [25]
To be able to find the value of X, we have to cross multiply the two fractions then solve the equation.
As so,

6/4 = 15/x

Cross Multiply:

6 x X = 6x
4 x 15 = 60

We cross multiplied, now we can set up the equation:

6x = 60

Simplify: (Get X by itself)

Divide 6 on each side

6 / 6x = 60 / 6
x = 60 / 6
x = 10

Now we have the total of X! To check our answer, we can substitute X for 10 in the original equation.
As so:

6/4 = 15/10

6/4 = 1.5
15/10 = 1.5

Correct! Our answer is X = 10!

Hope I could help you out! If my math is incorrect, or I provided an answer you were not looking for, please let me know and I will be sure to assist you further! However, if my math was well, and correctly, explained, please consider marking my answer as <em>Brainliest!</em> :)

Have a good one!
God Bless.
7 0
3 years ago
How many solutions does this equation have?
Leto [7]

Answer:

The given equation having only one solution i.e., "w = 3". A further explanation is provided below.

Step-by-step explanation:

The given equation is:

⇒ 9(w-9)-2=-7w+7(w-8)

By opening the brackets, we get

⇒ 9w-81-2=-7w+7w-56

⇒ 9w-83=-56

On adding "83" both sides, we get

⇒ 9w-83+83=-56+83

⇒                 9w=27

⇒                   w=\frac{27}{9}

⇒                       =3

4 0
3 years ago
Which of the following equations best models the data plotted below?
ICE Princess25 [194]
The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope. 
Here are our options:
<span>A. y = x + 4 
B. y = 4x + 9 
C. y = x + 18 
D. y = 3x + 22
 
Which has the closest approximation of the y-intercept? 
The y-intercept is not directly given, but we can assume it is less than 10. 
That leaves us with A and B.

Which has the closest approximation of the slope? 
The graph, on average, seems to move up about 60 and over about 15. 
Slope = rise/run = 60/15 = 4. Although the slope isn't exactly 4, it's much closer to 4 than 1, which is slope for option A.

Therefore, the answer is 
B) y= 4x + 9

</span>
6 0
3 years ago
Plss answer with the process ​
Lilit [14]
Reggie’s speed = distance/time

Reggie’s speed = 40.2 / 2.5

Reggie’s speed = 16.08 mi/hr

Craig’s speed = distance/time

Craig’s speed = 30.8 / 1.875

Craig’s speed = 16.43 mi/hr

Hence, answer is Craig

4 0
3 years ago
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