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
statuscvo [17]
2 years ago
13

The values in the table represent a function.

Mathematics
2 answers:
Hatshy [7]2 years ago
6 0

Given:

The values in the table represent a function.

x          f(x)

-2          1

1            3

4          -2          

-3          0

0           4

To find:

Function notation for the ordered pair given in the first row in the table.

Solution:

We know that, if a point (a,b) is on the function, then f(a)=b.

From the given table, the ordered pair given in the first row is (-2,1). So,

f(-2)=1

Therefore, f(x)=1 when x is -2.

andreev551 [17]2 years ago
3 0

Answer:

f(–2) = 1

x=4

Step-by-step explanation:

edge 2020

You might be interested in
20) Explain what 25 ÷ 0.2 means
statuscvo [17]
It means 25 divided by 0.2

3 0
3 years ago
Read 2 more answers
The product of two consecutive even integers is 288 find the integers.
algol [13]
Using algebra
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring 288using arithmetic...√288=16.97≈1716 and 18 are the integers (as well as -16 and -18)
5 0
3 years ago
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
Westkost [7]

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, x_{max}, of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

x_{max} = -b/(2·a)

The x-coordinate, x_{max}, of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

x_{max} = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, x_{max} = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, h_{max}, at x = 5, therefore;

h_{max} =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, h_{max} = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

7 0
2 years ago
Find the value of f(5) for the function.<br> f(x) = 6+3x
natka813 [3]

Answer: 21

Step-by-step explanation:

This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.

6 0
2 years ago
The cost C, in dollars, of building m sewing machines at Sienna’s Sewing
bulgar [2K]
So basically function of m (f(m) or in this case C(m)) means the price
so just input the value you put for m for all the other m's in the problem
ex. if you had f(x)=3x and you wanted to find f(4) then you replace and do f(3)=3(4)=12 so f(3)=12 and so on



A. cost of 75 sewing machines
75 is the number you replace m with
C(75)=20(75)^2-830(75)+15,000
simplify
20(5625)-62250+15000
112500-47250
65250
the cost for 75 sewing machines is $65,250


B. we notice that in the equation, that the only negative is -830m
so we want anumber that will be big enough to make -830m destroy as much of the other posities a possible

-830m+20m^2+15000
try to get a number that when multiplied by 830, is almost the same amount as or slightly smaller than 20m2+15000 so we do this
830m<u><</u>20m^2+15000
subtract 830m from both sides
0<u><</u>20m^2-830m+15000
factor using the quadratic equation which is
(-b+ the square root of (b^2-4ac))/(2a) or (-b- the square root of (b^2-4ac))/(2a)
in 0=ax^2+bx+c so subsitute 20 for a and -830 for b and 15000 for c
you will get a non-real result I give up on this meathod since it gives some non real numbers so just guess

after guessing and subsituting, I found that the optimal number was 21 sewing machines at a cost of 6420
6 0
2 years ago
Read 2 more answers
Other questions:
  • Determine if the table represents a linear function. If so, find the equation that describes the function below?
    10·1 answer
  • What is a prime number grater than 14 but less than 18?
    6·2 answers
  • What is the measure of angle B in the triangle? Enter your answer in the box.
    6·1 answer
  • PLEASE HELP
    14·1 answer
  • What percent of 84 is 12
    9·2 answers
  • Marisol noticed that she does not have a common factor.
    13·2 answers
  • Help me with this please
    13·1 answer
  • I really need help finding the surface area
    12·1 answer
  • This graph shows the linear relationship between commission med to by a caesperson and number of sale
    13·1 answer
  • two concentric circular regions have radii of $1$ inch and $10$ inches. what is the area, in square inches, outside the smaller
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!