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
Alexandra [31]
3 years ago
12

What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?

Mathematics
2 answers:
Olin [163]3 years ago
8 0
The absolute value function, known as the modulus function, is represented by a v-shaped graph, or  a modulus graph. So the graph looks like a V.
Let the vertex point be S.
To find the coordinates of the vertex S, you follow those steps:
First, to find the x of the vertex, you takes what's between the absolute value and make it =0
x - 7 = 0
Add 7 in both sides to get the variable x alone on a side and its value on the other side:
x - 7 + 7 = 0 + 7
x = 7

So S(7;y)

Now to find y, we replace x by its value and do the calculus:
|x - 7| + 1 = |7 - 7| + 1 = 0 + 1 = 1

So S(7;1).

I've added a picture of the graph represented this equation under the answer.

Hope this Helps! :)

BartSMP [9]3 years ago
7 0
The vertex is (-7,1)
You might be interested in
Find the surface area of the triangular prism (above) using its net (below).
r-ruslan [8.4K]

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

  • The length of the large rectangle is: 5
  • The width of the large rectangle is: 7

=> Area of the large rectangle = length × width  = 7*5 = 35 square units

  • The length of the middle rectangle is: 7
  • The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width  = 7*4 = 28 square units

  • The length of the small rectangle is: 7
  • The width of the small rectangle is: 3            

=> Area of the small rectangle = length × width  = 7*3 = 21 square units

Area of top and the bottom triangles =2* \frac{1}{2}bh  = 4*3 =12  

Total surface area = 35 + 28 + 21 + 12 = 96 square units

3 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through (1,4) and is parallel to 3x+y+2=0. Leave your answer in the form y=mx+c.
Mila [183]

Answer:

y = -3x + 7.

Step-by-step explanation:

First find the slope of the given line by converting to intercept form:

3x + y + 2 = 0

y = -3x - 2

So the slope is -3.

Then the line we want has a slope of -3 also (as it is parallel).

y - y1 = m(x - x1)   where m is the slope and (x1, y1) is a point on the line:

m = -3,  x1 = 1 and y1 = 4, so we have:

y - 4 = -3(x - 1)

y = -3x + 3 + 4

y = -3x + 7.

3 0
2 years ago
The shaded region is defined by an angle measuring 3π/ 2 radian. The area of the shaded region is 21.206 square inches. Find the
PSYCHO15rus [73]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Evaluate the expression 5t + 2m for m = 7 and t = 2.
pantera1 [17]

Answer:

<h3>The answer is 24</h3>

Step-by-step explanation:

5t + 2m

m = 7 t = 2

Substitute the above values into the expression

That's

5(2) + 2(7)

10 + 14

24

Hope this helps you

5 0
3 years ago
Michaels buys three over a pound of cheese he puts the same amount of cheese and three sandwiches how many cheese how much chees
Tasya [4]

Question is not proper,Proper question is given below;

Nicholas buys 3/8 pound of cheese he put the same amount of cheese and three sandwiches how much cheese does Nicholas put on each sandwich

Answer:

Nichole can put \frac{1}{8} \ pounds of cheese on each of his sandwich.

Step-by-step explanation:

Total Amount of cheese he has = \frac{3}{8} \ pound

Number of cheese sandwiches = 3

We need to find Amount of cheese does Nicole put on each of his sandwich.

Solution:

Amount of cheese on each sandwich can be calculated by dividing Total Amount of cheese he has with Number of cheese sandwiches.

framing in equation form we get;

Amount of cheese on each sandwich = \frac{\frac{3}{8}}{3}} = \frac{1}{8} \ pounds

Hence Nichole can put \frac{1}{8} \ pounds of cheese on each of his sandwich.

7 0
3 years ago
Other questions:
  • Find two numbers that have the maximum possible product and a sum of 7
    6·2 answers
  • What is the gcf of 18a, 20ab, and 6ab
    6·1 answer
  • Multiply the following polynomial and write the resulting polynomial in descending order. (3x-8)(2x^2+4x-9)
    8·1 answer
  • Two triangles that have the same side length will always be congruent true or false?
    14·2 answers
  • Please answer this correctly
    11·1 answer
  • Is 4kg greater than 4000g
    6·2 answers
  • Cost to store 155 mark up 30
    6·1 answer
  • Someone Help please with work!! 15pts​
    14·1 answer
  • A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
    8·1 answer
  • Hey can you help me with this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!