1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
15

Choose the function that represents the data in the table.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

<u>Given</u>:

It is given that the function represents the data in the table.

We need to determine the function.

<u>Slope</u>:

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Let us substitute the coordinates (1,6.5) and (4,8) in the above formula, we get;

m=\frac{8-6.5}{4-1}

m=\frac{1.5}{3}

m=0.5

Thus, the slope is 0.5

<u>y - intercept:</u>

The y - intercept is the value of y when x = 0.

Thus, from the table, when x = 0 the corresponding y value is 6.

Therefore, the y - intercept is b=6

<u>Equation of the function:</u>

The equation of the function can be determined using the formula,

y=mx+b

Substituting the values m=0.5 and b=6, we get;

y=0.5x+6

Thus, the equation of the function is y=0.5x+6

Hence, Option C is the correct answer.

You might be interested in
33. The number of batches of cookies that can be made in a bakery every hour is shown in the graph.
MAVERICK [17]
The equation of this line in slope intercept form is y= 3/7x

4 0
3 years ago
Solve the equation. 3x+12 = 5x-21
almond37 [142]
3x+12=5x-21
-5x       -5x
-2x + 12 = -21
         -12    -12
-2x=-33
 x = 16.5
4 0
3 years ago
What is the approximate perimeter of the square with the area of 112cm^2.Step by step answers please?
Alex17521 [72]
First find the length of the side by taking the square root of 112.

There are 4 sides so multiply your answer by 4 to get the perimeter.

The answer is 42.332 which rounds to 42.
3 0
3 years ago
How to make two addends for a problem in which you regroup ones 6,5,3,1 ,2 4
Blizzard [7]
Are the numbers 6,5,3,1,24? or is it 2,4?
5 0
3 years ago
Solve (2a^x + 1/2b^x)^2
alexira [117]

Answer:

(4a^{2x} )+2a^{x} b^{x} + \frac{b^{2x} }{4}

Step-by-step explanation:

The given equation is

(2a^x + \frac{1}{2}b^{x} } )^2 ...........(i)

we know the formula i.e.

(a+b)^{2}= a^{2}+ b^{2} +2(a)(b)

Applying this formula on equation (i) gives

= (2a^{x} )^{2} +(\frac{1}{2})^{2}*(b^{x} )^{2} + 2 (2a^{x} )(\frac{1}{2} b^{x})

Opening the sqaure gives and canceling  \frac{1}{2} with 2 gives us

= 4a^{2x} + \frac{1}{4}b^{2x} + 2a^{x}b^{x}

= (4a^{2x} )+2a^{x} b^{x} + \frac{b^{2x} }{4}

which is the answer

6 0
3 years ago
Other questions:
  • How do you solve for total intrest when you finance $600 for 24 months at 18%
    9·2 answers
  • There are 6 large picture frames. Each picture frame contains 2 pictures. What number sentence can be used to find the total num
    14·2 answers
  • two-fifths of the fish in Gary's fish tank are guppies. One fourth of the guppies are red. What fraction of the fish in Gary's t
    8·2 answers
  • GIVE ME THE ANSWER* due in 10 minutes
    11·2 answers
  • An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees
    14·1 answer
  • Find the volume of the cone. Round your answer to the nearest tenth.
    9·1 answer
  • Please Helpp Mee! I need it NOW!
    13·2 answers
  • Question 8 - Find the mean
    11·1 answer
  • Hugo has $80 to spend on clothes. He buys a pair of jeans for $30. Each shirt costs $12. At most, Hugo can buy _____ shirts.
    7·2 answers
  • Yesterday, john had $15. In 7 days, He would have 23.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!