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
Dominik [7]
3 years ago
7

Help please ;-; The values in the table represent a linear function.

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

The function rule in slope-intercept form is:

y = \frac{1}{2}x-\frac{7}{2}

Step-by-step explanation:

The slope-intercept form of a function is given as:

y = mx+b

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

m = \frac{difference\ in\ y}{difference\ in\ x}

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

m=\frac{2-1}{-1+3}\\=\frac{1}{2}

Putting the value of slope in slope-intercept form

y = \frac{1}{2}x+b

Putting (1,-3) in the equation

-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}

Putting the value of b

y = \frac{1}{2}x-\frac{7}{2}

Hence,

The function rule in slope-intercept form is:

y = \frac{1}{2}x-\frac{7}{2}

You might be interested in
Can some one please help me with these five questions
valina [46]

Answer:

1)PT = 21 units

2)Option D

3)Option A

4)∠EFG = 2(24) +15 = 63 degrees

∠GFH= 4(24) +21 = 117 degrees

5) circumference = 21.98 cm

Step-by-step explanation:

1) As the T is midpoint, PT is equal to TQ in magnitude.

  Thus, 4x+1=6x-9

 2x = 10

x=5.

Thus, PT = 4(5) + 1 = 21

2) The planes XTS and VRS intersect in the line SW, and the intersection is perpendicular.

3)For a line to be defined, it must have 2 points, start and end.

  The option A) is not defined properly, so incorrect

4)As the angles are linear pair, their sum is 180 degrees.

Thus, 2n+15+4n+21 = 180

6n = 144

n = \frac{144}{6} = 24

∠EFG = 2(24) +15 = 63 degrees

∠GFH= 4(24) +21 = 117 degrees

5) diameter = 7 cm

radius = 3.5 cm

circumference = 2\pi R = 2\pi (3.5) = 2(3.14)(3.5) = 21.98 cm

8 0
4 years ago
The price of a laptop is increased by 15%.The old price of the laptop was £300.Work out the new price
Alika [10]

Answer: 345

Step-by-step explanation:

15% + 100% = 115%

100%.......300£

115%..........x£

x = 115*300/100

x= 345

6 0
3 years ago
Alicia bought two slices of pizza and a bottle of juice for $4.95. The juice was $1.65. How much is one slice of pizza?
VikaD [51]

Subtract the price of the juice from the total then divide the remaining amount by 2:

4.95 - 1.65 = 3.30

3.30 /2 = 1.65 per slice.

4 0
3 years ago
Help pls what is he surface area measured in square centimeters, of the shape
Firlakuza [10]

Answer:

Solution given:

l=8cm

b=8cm

h=3cm

now

total surface area=2(lb+bh+lh)

=2(8*8+8*3+8*3)=224cm²

224 cm² is a required volume.

6 0
3 years ago
Art bought a 4 boxes of pens, but gave his friend Ben 8 pens, and now has a total of 112 pens. How many are in a box? (what equa
Ghella [55]
4x-8=112 x is the number of pens in each box.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which function is described by the values in the table?
    14·1 answer
  • Help me fill in the blanks please
    10·1 answer
  • What is 3/15 in simplest form
    14·1 answer
  • Simplify 4 square root of 6 over 5 square root of 6 <br>6 1/5<br>6 9/20<br>6 1/20<br>6 5/4​
    12·1 answer
  • Write y = 8(x2 + 4x) + 17 in vertex form
    6·2 answers
  • 2.If the average American lives about 80 years (or about 30,000 days), how
    8·1 answer
  • The cube root of 8 I need to know
    8·1 answer
  • The fraction 7/9 produces a repeating decimal<br> 0.7<br> A. true<br> B. false
    10·1 answer
  • How many 1/9's in 31
    12·1 answer
  • You want to buy new pair of Air Jordans but you don’t have the money for them you borrow 130 from your sister to buy the shoes t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!