The table shows the outputs y, for different inputs ,x

Input x: 3,7,11,15
Output y: 4,6,8,10

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f(x) = 5x-21. Which relation has a greater value when x=11

Part C: Using the relation in part b, what is the value of x if f(x) =99

Answers

Answer 1

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.

(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:

In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:


Related Questions

simplify [tex]x^2+6x+4/x+3[/tex]

Answers

Answer:

(x^3 + 6 x^2 + 3 x + 4)/x

Step-by-step explanation:

Simplify the following:

x^2 + 6 x + 3 + 4/x

Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:

x^3/x + (6 x^2)/x + (3 x)/x + 4/x

x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:

Answer: (x^3 + 6 x^2 + 3 x + 4)/x

Match the number with its opposite. (4 points)

Answers

I hope this helps!!!

1.C
2.A
3.B
4.D

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?

Answers

Answer:

gcf is 20 lcm is 40

Step-by-step explanation:

SAT scores have been found to predict 36% of the variance in college
GPA. What is the correlation coefficient between SAT score and college GPA?
A. 0.18
B. 0.6
C. 0.06

Answers

A 0.18 is the difference between SAT and college GPA

A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning

Answers

9514 1404 393

Answer:

  A) the curves are ellipses

  B) 161 yards

  C) 366 yards

Step-by-step explanation:

A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.

__

B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*

So, the approximate length of side c is ...

  c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c

__

C) The perimeter of the pond is the sum of the side lengths, so will be ...

  80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter

_____

* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...

  C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))

where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.

For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...

  C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide

This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.

The attachment shows the shape if the curve is actually an ellipse.

solve for x -1.5x - 3.1 < 5.5

Answers

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?

Answers

Answer: $50

Step-by-step explanation:

Rounding the numbers, you get 70-20, which equals $50

Can someone help me find x.

Answers

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?

Answers

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

What is the derivative of this?

Dy/dx=x^2y+y^2x

Answers

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*

Answers

Answer:

The answer is letter A.

-7+3(-4e-3)

−7+3((−4)(2.718282)−3)

=−48.619382

-4(3e+4)

−4((3)(2.718282)+4)

=(−4)((3)(2.718282)+4)

=(−4)((3)(2.718282))+(−4)(4)

=−32.619382−16

=−48.619382

free brainlyiWhich of the following is true? (1 point)

1)

|−6| < 5

2)

|−6| < |5|

3)

|−5| < |−6|

4)

|−5| < −6

Answers

Answer:

1)

Step-by-step explanation:

Answer:

all of it

Step-by-step explanation:

A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?

Answers

Answer:

≈3.11

Step-by-step explanation:

The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.

What is the value of the quantity after 21 days?

When a quantity decays , it means that the value of the quantity declines with the passage of time.

The formula that can be used to determine the value of the quantity after a number of weeks is :

FV = P (1 - r)^n

Where:

FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks

920 x (1 - 0.85)^3

920 x 0.15^3 = 3.11

To learn more about exponential function, please check: brainly.com/question/18760477

HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

Can the function f(x) = x^2 - 4x + 4 be factored? If so write in factored form.

Answers

Answer:

(x-2)(x-2)

Step-by-step explanation:

Find two things you can multiply to equal to 4 and add to equal -4

-2*-2=4 and -2+-2=-4

Which of the following is equivalent to the expression below? x 6 x 2

Answers

Answer:

Step-by-step explanation:

the answer is D

What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?

Answers

Are there any answers choices? I’m going of my gut and saying it’s prepayment

Answer:

This is called a prepayment

(iready question pls answer ASAP)
What is the equation of the line?
A) y=2x+2
B) y=2x-4
C) y=1/2x+2
D)y=1/2x-4

Answers

It’s C. Y=1/2x +2
Explanation: the rise over run makes it the slope of 1/2 and 2 is the y intercept
C y=1/2x+2 hope it helps

Help pleaseeeee


Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120

It’s one of these

O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour

Answers

Answer:

The answer is 40miles in 1 hour

A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost

Answers

Answer:

8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids

In the triangle above the value of x = _____ degrees (nearest whole number)

Answers

Answer:

60 degree it is ez math it is 6 grade math

Answer:

200 or 160

Step-by-step explanation:

50=100 70=100 = 200

Most of the time it's 160 or 200, so try those 2

I need help with these in order!!!​

Answers

Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero​

Answers

Answer:

hio

Step-by-step explanation:

hi

As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

Given that, the ancient Babylonians were writing fractions in 1800 BCE.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.

The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.

From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.

Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Which of the following are partial products for 43 x 17

Answers

Answer:

731

Step-by-step explanation:

Write a linear equation for each table relating X and Y

Answers

Answer:

a. y = 2 + 2x

b. y = 20 - 4x

c. y = 2 + 1.5x

d. y = 20 - 3x

Step-by-step explanation:

I Hope That This Helps! :)

which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero

Answers

Answer:

A) None of the above

Step-by-step explanation

it's distributive property

If these two shapes are similar, what is the measure of the missing length g?

Answers

So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.

Which of the following equations is equivalent to 3(a + 4) – 5(a – 2) = 22?
8a + 2 = 22
-2a + 2 = 22
8a + 22 = 22
-2a + 22 = 22

Answers

Answer:

-2a + 22 =22

Step-by-step explanation:

3(a + 4) -5(a - 2) =22

3a + 12 - 5a + 10 =22

-2a + 22 =22

Answer:

-2a + 22 = 22

Step-by-step explanation:

in both a = 0

PLS HELP!!
What is x

Answers

Answer:

2

Step-by-step explanation:

Select all true statements, 25 points

Answers

Answer:  

the first one and the last one

Step-by-step explanation:

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