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
Kazeer [188]
3 years ago
10

The equation of the function h is h... PLEASE HELP MATH

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

Part A) h(4) -m(16)=-4

Part B) The distance between the y-intercepts is equal to 4 units

Part C) The value of h(x) will always be greater than the value of m(x) for any value of x

Step-by-step explanation:

Part A) What is the value of h(4) -m(16)

we have

h(x)=\frac{1}{2}(x-2)^2

For x=4

h(4)=\frac{1}{2}(4-2)^2=2

Find the equation of the line m(x)

Find the slope

take the points

(8,2) and (12,4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{4-2}{12-8}

m=\frac{2}{4}

m=\frac{1}{2}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{1}{2}

point\ (8,2)

substitute

2=\frac{1}{2}(8)+b

solve for b

b=-2

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

therefore

m(x)=\frac{1}{2}x-2

Find m(16)

m(16)=\frac{1}{2}(16)-2=6

so

h(4) -m(16)=2-6=-4

Part B) we know that

The y-intercept is the value of y when the value of x is equal to zero

Find the y-intercept of h(x)

For x=0

h(0)=\frac{1}{2}(0-2)^2=2

Find the y-intercept of m(x)

For x=0

m(0)=\frac{1}{2}(0)-2=-2

therefore

The distance between the y-intercepts is equal to 2-(-2)=4 units

Part C)

Graph both equations

h(x)=\frac{1}{2}(x-2)^2

m(x)=\frac{1}{2}x-2

using a graphing tool

see the attached figure

The value of h(x) will always be greater than the value of m(x) for any value of x

You might be interested in
DO THESE ON A PIECE OF PAPER! PLEASE HELP! QUICK!!DO ALL OF THEM!!!
bogdanovich [222]

Answer:

i cant sseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

the picture

6 0
3 years ago
Read 2 more answers
Name the polygon. Write whether it is regular<br> or not regular.
andrew-mc [135]

Answer:

since the polygon has eight sides, it's an octagon and no, it's not regular since length of all sides of a regular polygon must be equal but in that octagon, not all sides are equal.

8 0
3 years ago
I'm in need of help. The file should be attached to this. Thanks for your help!
Amanda [17]
company a: 2mins

company b: 7mins

:)
6 0
3 years ago
Which is a measure of center of a distribution?
Delvig [45]
B because The measure of center of distribution would have to be in be
3 0
3 years ago
Read 2 more answers
What is 49/50 equivalent to as a decimal and as a percent
Andru [333]
.98 and98% .................
4 0
3 years ago
Other questions:
  • Help on math problem
    9·1 answer
  • 84% of goals he attempted during a soccer tournament if he attempted 25 goals how many goals did he make
    6·1 answer
  • How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
    6·1 answer
  • Least to greatest 16,-37,51,61
    6·1 answer
  • What is the volume in cubic inches of the right rectangular prism with a length of 5 inches a width of 8 inches, and a height of
    5·2 answers
  • 2 movie tickets and 1 popcorn cost $29. 4 movie tickets and 4 popcorns cost $68. How much does 1 movie ticket cost?
    7·1 answer
  • 9 in<br> 4 in<br> What is the length of the hypotenuse? If necessary, round to the nearest tenth.
    15·1 answer
  • What is the y-intercept of the line with the equation y=1/2x-3/2? What is the slope of this line?
    8·1 answer
  • Solve the following<br>equation and check your answer​
    11·2 answers
  • Help please i need this fast
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!