As x approaches ∞, which statement is correct?
A) The linear function will eventually exceed the exponential function.
B) The exponential function will eventually exceed the linear function.
C) The exponential function will only exceed the linear function if it has a greater growth factor.
D) The linear function will only exceed the exponential function if it has a greater common difference.

[tex]y = \pm\sqrt{x}[/tex]

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Explanation:

The plus/minus indicates we have two equations, and they are

[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]

If x is say x = 4, then y is both y = 2 and y = -2 at the same time.

A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If [tex]x= 10,[/tex] [tex]y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.[/tex]

If [tex]x=11,[/tex][tex]y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.[/tex]

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change [tex]= \frac{y(x=11) - y(x=10)}{y(x=10)}.[/tex]

Substituting the values, we get

The percentage rate of change [tex]=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%[/tex].

As the values of y decrease with an increase in x, it is the percent decrease per unit.

Answer:

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Because your Beautiful

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

[tex]180x+150y\leq 2,700[/tex]

The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

Answer:

5

Step-by-step explanation:

Answer:

So the answer will be 2 2/4

Step-by-step explanation:

If you need me to explain more please tell me.Hope it helps.

Jenna is left with 2 1/2 meters of ribbon for future projects.

Jenna bought a spool of ribbon that was 5 3/4 meters long and used 3 1/4 meters of it for a craft project. To calculate how much ribbon she has left, we need to subtract the length of the ribbon used from the total length of the ribbon.

Convert mixed numbers into improper fractions: 5 3/4 = (5 × 4) + 3 = 23/4 and 3 1/4 = (3 × 4) + 1 = 13/4.

Subtract the second fraction from the first: 23/4 - 13/4 = (23 - 13)/4 = 10/4.

Simplify the result: 10/4 = 2 2/4 = 2 1/2 meters.

on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

Step-by-step explanation:

We have , (6x^2−11y^3)(−6x^2−11y^3):

[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

⇒ [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]

We know that :

[tex](a +b)(c+d) = (ac+ad+ad+bd)[/tex]

⇒ [tex](6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))[/tex]

⇒ [tex](-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)[/tex]

⇒ [tex](-36x^4+ 121y^6)[/tex]

⇒ [tex]121y^6 -36x^4[/tex]

Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .

Answer: A

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Genes are our genetic makeup. The way we look, act, talk etc. The way they work is to make protiens for our DNA, as in produce "specific" proteins for ourself.

Answer:

B) 9/2

Step-by-step explanation:

4½ = 4 + ½

= 8/2 + 1/2 = 9/2

Answer: 9/2

Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.

So here, we multiply the denominator, 2, times the whole number, 4, then we add the numerator, 1. So we have (2 × 4) + 1 of 8 + 1 which is 9.

Finally, we put our new number over our old denominator and we have our answer, 9/2. There is also an image provided showing my work.

So 4 and 1/2 can be rewritten as the improper fraction 9/2.

Answer:

7

Step-by-step explanation:

1: 6 X _ = 18

2: 18/6 = 3

3: 21/3 = 7

Answer:

0.5972222 (2 repeats forever)

Step-by-step explanation:

Hope that helps!

Answer:

0.5972

Step-by-step explanation:

43 ÷ 72 = 0.59722222222....

This (2) is a repeating decimal.

Answer:

Option D, x = 40

Step-by-step explanation:

Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.

Step 1:  Make an equation

x + (4x - 20) = 180

Step 2:  Combine like terms

x + 4x - 20 = 180

5x - 20 = 180

Step 3:  Add 20 to both sides

5x - 20 + 20 = 180 + 20

5x = 200

Step 4:  Divide both sides by 5

5x / 5 = 200 / 5

x = 40

Answer:  Option D, x = 40

Answer:

y=-2

Step-by-step explanation:

Hello : let  A(-3,-4)    B(6,2)

the slope is :   (YB - YA)/(XB -XA)

(2+4)/(6+3)  = 6/9 = 2/3

an equation is the line is : y = ax+b        a is a slope

y = (2/3)x+b

but this line passes by (6;2)

so : 2 = (2/3)(6)+b

b = -2

the equation is : y = (2/3)x-2

the the Y intercept of this line when : x= 0   so : y = (2/3)(0)-2

y=-2

Answer:

20

Step-by-step explanation:

Answer:

2n - 5 = n^2 (or n squared)

The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]

To properly solve for the number, n, based on the given information, you can use the equation:

[tex]2n = n^2 - 5[/tex]

This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).

To solve for n, you can rearrange the equation as follows:

[tex]n^2 - 2n - 5 = 0[/tex]

You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.

More on mathematical equations can be found here: https://brainly.com/question/29514785

#SPJ3

Answer:15

Step-by-step explanation:

You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2

Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.

To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.

First, let's calculate how much her cat eats per week:

1/10 of a bag per week.

Now, let's calculate how many weeks the food will last:

(3/4) / (1/10)

To divide fractions, you can multiply by the reciprocal of the divisor:

(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4

Now, let's simplify 30/4:

30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4

Since 2/4 simplifies to 1/2, we get:

7 + 1/2 = 7.5

So, the cat food will last approximately 7.5 weeks.

Answer: $54

Step-by-step explanation:

Original price = $60

10% discount= 10/100 × 60

= 0.01 × 60 = $6

Amount cassie paid for the sweater is original price - discount

=$60 - 6

= $54

I hope this helps

Answer:

54$

Step-by-step explanation:

Option D: Graph C is the solution to the system of linear inequalities.

Explanation:

The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]

Let us graph the inequality [tex]y \geq 2 x+1[/tex]

Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,

[tex]0 \geq 2 (0)+1[/tex]

[tex]0 \geq1[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the upper part of the line in the graph.

Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,

[tex]0<-2 (0)-3[/tex]

[tex]0<-3[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the lower part of the line in the graph.

The solution to the system of linear inequality is the intersection of the two regions.

Thus, the solution of the inequality is Graph C.

Hence, Option D is the correct answer.

Answer:

$81,920

Step-by-step explanation:

money made by january: $40

double that

money made by february: $80

double that

money made by march: $160

double that

money made by april: $320

double that

money made by may: $640

double that

money made by june: $1,280

double that

money made by july: $2,560

double that

money made by august: $5,120

double that

money made by september: $10,240

double that

money made by october: $20,480

double that

money made by november: $40,960

double that

money made by december: $81,920

the total money they made by the end of the year (december) was $81,920

Answer:

$163,800

Step-by-step explanation:

40, 80, 160, 320...

It's a geometric progression

With first term = 40

Common ratio = 80/40 = 2

After 1 year is 12 months

Find S12.

S12 = 40(2¹² - 1)/(2 -1)

= 163800

Answer:

33 1/5

Step-by-step explanation:

Turn 92/4 into a mixed number to make this problem easier, which equals 23. So the equation will look like: 23 + 10 + 4/10. Now add them all together and you will get 23 + 10 + 4/10 = 33 4/10. Now simplify 33 4/10 and you will get 33 1/5

Answer:

Step-by-step explanation:

92 /4 +10+4/10

=23+10+ 4/10

=33+4/10

=33+2/5

=167/5

Answer:

(x+11)(x-11)

Step-by-step explanation:

A ^2 - B ^2 =(A+B) (A-B).. (*)

x^2 - 121=

x^2 - 11^2=(*)

(x+11)(x-11)

Answer:

the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.

Step-by-step explanation:

20(30-15)

20×30= 600, and 20×15=300

finally you just use the new numbers and solve the solution which is 600-300. The answer is 300

Answer: 300

Step-by-step explanation: The distributive property tells us that when there's a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.

So in this problem, we can multiply 20 (30) - 20 (15) which simplifies to 600 - 300 which is 300.

Answer:

a good estimate of the sum of 3 and 4/15 is 3 1/4.

Step-by-step explanation:

4/15 is close to 4/16, or 1/4, so a good estimate of the sum of 3 and 4/15 is

3 1/4.

Question

What fraction choose dogs?

Answer:

[tex]\frac {3}{8}[/tex]

Step-by-step explanation:

When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3

For 3 out of 8, this fraction is equal to

[tex]\frac {3}{8}[/tex]

Therefore, the fraction that choose dogs or cats is equal to

[tex]\frac {3}{8}[/tex]

Option A:

The length of BE is 4.

Solution:

Given data:

AE = 6, EC = 12 and DE = 18

To find the length of BE:

If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.

⇒ AE × EC = DE × BE

⇒ 6 × 12 = 18 × BE

⇒ 72 = 18 × BE

Divide by 18 on both sides of the equation.

⇒ 4 = BE

Switch the sides.

⇒ BE = 4

The length of BE is 4.

Option A is the correct answer.

Answer:

In this equation, when x = -8 , Y = 2

Answer check using either equation =

(1) 2x + y = -7y   ===> 2(-8) + 2 = -7(2)  ===>  -14 = -14

(2) Y= x + 10  ===>  2 = -8 + 10  ===> 2 = 2

Step-by-step explanation:

Assuming that you are looking for "x" and "y", Let

2x + y = -7y  ................. (1)

Y= x + 10     ................. (2)

From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"

2x + x + 10 = -7(x + 10)

3x + 10 = -7x - 70

gather like terms on each side.

3x + 7x = -70 - 10

10x = -80

divide through by 10

x = -8

Now substitute for "x" in equation (2)

Y = x + 10

Y = -8 + 10

Y = 2

Answer: 2 pans of brownies

Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....

                                       |

                          trish     |      rachel

                                24 + 60 = 84

trish has 2 pans overall

Answer:

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

Step-by-step explanation:

We want to evaluate the equation

[tex]H(y) = \frac{9}{5} \times 2y[/tex]

at y=-2

We just have to substitute to obtain;

[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]

We now multiply to get:

[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]

This is the same as:

[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]

We multiply the numerators separately and denominators separately to get:

[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]

[tex]H( - 2) = \frac{ - 36}{5} [/tex]

This implies that

[tex]H( - 2) = - 7 \frac{1}{5} [/tex]

Answer:

I = 2.04.

Step-by-step explanation:

From the question we are asked that what is the simple interest ,

$ 850 , 4% , 6 months

using the formula

simple interest = prt/100

I = interest

P= principal

R = rate.

our P = $850

R = 4% = 4/100 = 0.04

T = 6months

I = (850 × 0.04 × 6)/ 100

I = 204/100

I = 2.04.