Please help as soon as possible

9514 1404 393

Answer:

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

Answer:

5. [tex]y=\frac{1}{3}x-3[/tex]

6. [tex]y=\frac{1}{4}x+4[/tex]

7. [tex]y=-5[/tex]

8. [tex]y=x+5[/tex]

9. [tex]y=\frac{-1}{2}x+6[/tex]

10.[tex]y=-4x+2[/tex]

Step-by-step explanation:

5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]

6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]

[tex]y = \frac{1}{4} x+b[/tex]

[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]

7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]

[tex]y=-5[/tex]

8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]

[tex]y=x+b\\7=2+b\\b=5[/tex]

9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]

[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]

10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]

[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]

Answer:

8

Step-by-step explanation:

it is 8

Answer:

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74

Step-by-step explanation:

Let the:

Cost of 1 egg = x

Cost of 1 sausage = y

A breakfast menu lists:

3 eggs with 2 sausage for $4.15

3x + 2y = 4.15......Equation 1

4 eggs with 1 sausage for $4.30 .

4x + y = 4.30...... Equation 2

y = 4.30 - 4x

We substitute 4.30 - 4x for y in Equation 1

3x + 2(4.30 - 4x) = 4.15

3x + 8.6 - 8x = 4.15

3x - 8x = 4.15 - 8.6

-5x = -4.45

x = -4.45/-5

x = $0.89

Solving for y

y = 4.30 - 4x

y = 4.30 - 4(0.89)

y = 4.30 - 3.56

y = $0.74

Therefore,

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74

try practicing with different examples

Answer:

21/8

Step-by-step explanation:

KCF or keep change flip. keep 7/8. turn divide into multiply, then flip 1/3 to 3/1. 21/8 is what you get. Hope this helped!

Answer:

21/8

Step-by-step explanation:

Dividing by a fraction is like multiplying with the inverse:

So (7/8) / (1/3)

is the same as

(7/8) * (3/1) = (7/8) * 3 = 21/8

21/8 cannot be simplified, unless you find 2  5/8 simpler

Answer:

The solution x > 10 can be represented in two ways such as:

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Answer:

a_n = 39(1.06)^(n - 1)

Step-by-step explanation:

We are told that a_n is the number of raccoons in a given n number of years.

After 6 years, there are 52 raccoons.

Also after 8 years there are 58 raccoons.

Using formula for geometric sequence, we have;

a_n = ar^(n - 1)

After 6 years, there are 52 raccoons

Thus;

a_6 = 52 = ar^(6 - 1)

ar^(5) = 52 - - - (eq 1)

Also after 8 years there are 58 raccoons. Thus;

a_8 = 58 = ar^(8 - 1)

ar^(7) = 58 - - - (eq 2)

Divide eq 1 by eq 2 to get;

(r^(7))/(r^(5)) = 58/52

r² = 58/52

r = √(58/52)

r ≈ 1.06

Put 1.06 for r in eq 1 to get;

a(1.06)^(5) = 52

1.3382a = 52

a = 52/1.3382

a ≈ 39

Thus,the explicit rule is;

a_n = 39(1.06)^(n - 1)

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Y intercept: 1

Slope: -1/3

Equation would be y=-2/3x+1

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Answer:

Let's try C

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5x - 3

x =  5

5(5) - 3

25 - 3

22

Hope this helps.

Answer:

Because the teacher told him  to take a seat.

Answer:

Lol. Because the teacher told him to take a seat.

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

Answer:

hmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmmmm

Answer:

equation- 4x + 50 = 130

Step-by-step explanation:

once solved you will know the number of bags Emily purchased (x).

Answer: This statement represents  →A Division prolem

The correct equation is →8=n÷5                                                                

                  I Hop This Helped :)

Step-by-step explanation:

Answer:

Write an equation to model the problem containing an unknown number.

                                             Eight is the quotient of a number and five.

This statement represents:

✔ a division problem

.

The correct equation is:

✔ 8 = n ÷ 5

Correct on Edge nuity 2021

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

Answer:

perimeter of circle=2πr

16=2πr

r=16/2π=8/πcm

now.

area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²

Answer:

15cm

Step-by-step explanation:

180/12=15