Graph the following equation

[tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]

If you can. Also, what is the Oblique Asymptote.

Answer:

yes the first step is

Step-by-step explanation:

Answer: a- |x - 9.5| ≤ 1.5

b- x - 9.5 ≤ 1.5

x - 9.5 + 9.5 ≤ 1.5 + 9.5

x ≤ 11

Step-by-step explanation:

Answer: 5 km and 25 km

Answer:

Step-by-step explanation:

Usain Bolt

Part A

d = 200 m

t = 19.30 seconds

r = d/t

r = 200 / 19.30

r = 10. 36

r = 10.4 m/s

Part B

d = 400 meters

t = 43.18 seconds

r = d/t

r = 400/43.18

r = 9.26 m/s

r = 9.3

Not much difference.

Michael Johnson

Though you have not given us the distance, it was 100 meters. He was the first man to eclipse 9.7 seconds for the 100 meters.

d = 100 m

t = 9.69 seconds

r = 100 meters/9.69 seconds

r = 10.32 m/s

r = 10.3

Answer:

w = [tex]-\frac{9}{8}[/tex]

Step-by-step explanation:

The question is  [tex]4w-4+2(5w+8)=-2(w+3)[/tex]

We can first use distributive property to simplify, the distributive property is  [tex]a(b+c)=ab+ac[/tex]

Thus we have:

[tex]4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6[/tex]

Now we combine like terms and simplify to get the final answer for w.

[tex]4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}[/tex]

Thus, w = [tex]-\frac{9}{8}[/tex]

Answer:

1.125

Step-by-step explanation:

we first open the brackets by multiplying every term inside the brackets by 2

We get the following equation: 4w-4+10w+16=-2w-6

collecting like terms together we get 4w+10w+2w=-6-16+4

   16w=-18

dividing both sides by 16 we get w=18/16

=9/8

= 1 1/8 or  1.125

27,459 --- 7,000

40,735 --- 700

7,000÷700 =10 times greater

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

[tex]a_n=(-2)(5)^{n-1}[/tex]

In general the nth term of a geometric sequence is

[tex]a_n=a_1(r)^{n-1}[/tex]

By comparism;

[tex]r=5[/tex] is the common ratio of the sequence.

Or

[tex]a_1=(-2)(5)^{1-1}=-2[/tex]

[tex]a_2=(-2)(5)^{2-1}=-10[/tex]

Common ratio is

[tex]r=\frac{-10}{-2}=5[/tex]

Answer:

The measure of each angle is [tex]20\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x------> the angle on each side

we know that

[tex]x\°+140\°+x\°=180\°[/tex]

solve for x

[tex]2x\°=180\°-140\°[/tex]

[tex]2x\°=40\°[/tex]

[tex]x=20\°[/tex]

Answer:

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before.  Let n be the number of donuts she ate on the first day, then she ate...

Day 1: n donuts

Day 2: n + 6 donuts    

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n...

5n + 60 = 100

    5n = 40

    n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Answer:

3 hours

Step-by-step explanation:

39 miles/ 13 miles per hour means 3 hours. SIMPLE!

To record the issuance of the note payable and the first monthly payment, create a debit entry for the delivery truck and credit entry for the notes payable. Then, debit the notes payable to reduce the amount owed and credit the cash for the same amount to show the outflow of cash.

To record the issuance of the note payable and the first monthly payment, we will first create an entry to record the note payable on January 1, 2018. We will debit the Delivery Truck account for $25,000 and credit the Notes Payable account for the same amount. This represents the borrowing of the $25,000.

Next, we will record the first monthly payment on January 31, 2018. We will debit the Notes Payable account for $760.55 to reduce the amount owed, and credit the Cash account for the same amount to show the outflow of cash.

The surface area is 300 therefore its B

Answer:

Volume

Figure 1 = 56 cube units

figure 2 = 60 cube units

figure 3 =72 cube units

Surface area

Figure 1 = 100 square units

figure 2 = 104 square units

figure 3 =108 square units

Step-by-step explanation:

From the all figure we can see that each figure made up of unit cubes

Figure 1

Surface area

Large cuboid portion =2 x (6 x 2 ) +  (6 x 4) + 2 x(4 x 2) + 16

  = 24 + 24 + 16 + 16 = 80 unit square

Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20

Total surface area = 80 + 20 = 100 unit square

Volume

Small cuboid = 4 x 2 = 8

Large cuboid = 6 x 4 x 2 = 48 cube unit

Total volume = 48 + 8 = 56 cubs units

Figure 2

Surface area

Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square

Volume

Small cuboid = 6 x 2 = 12

Large cuboid = 6 x 4 x 2 = 48 unit square

Total volume = 48 + 12 = 60 cube units

Figure 3

Surface area

Total surface area = 48 + 36 + 24 = 108 square units

Volume

Total volume = 6 x 4 x 3 = 72 cube units

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

x = 5.75

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

[tex]y<16x^{2}[/tex]

we know that

The solution of the inequality is the shaded area below the dashed line of the parabola

The equation of the dashed line is the vertical parabola [tex]y=16x^{2}[/tex]

therefore

The solution in the attached figure

The graph that represents the inequality is in the image at the end.

Which graph represents the inequality?

Here we have the inequality:

y < 16x²

This is a parabola that opens upwards, with a vertex at the point (0, 0).

The area shaded must be the area below the parabola, and because we have the symbol "<" we must graph the parabola with a dashed line instead of a solid line.

With this in mind, we can see that the correct option is the third graph.

Answer:

2*sqrt(x + 8)

Step-by-step explanation:

You could use the distributive property to answer your question

[sqrt(x + 8) + sqrt(x + 8)]

=sqrt(x + 8) [1 + 1]

=2*sqrt(x + 8)

Answer:

(kj)(x)= -16x^2- 12x +10

Step-by-step explanation:

Answer:

Option A is correct

[tex](kj)(x)=-16x^2-12x+10[/tex]

Step-by-step explanation:

Given the functions are as follows:

[tex]j(x) = -4x+2[/tex]

[tex]k(x) = 5+4x[/tex]

We have to find (kj)(x).

Consider,

[tex](kj)(x) = k(x)j(x)[/tex]

Substitute the given values we have;

[tex](kj)(x) = (5+4x)(-4x+2)[/tex]

Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex](kj)(x)=-20x+10-16x^2+8x[/tex]

Combine like terms;

[tex](kj)(x)=-12x+10-16x^2[/tex]

or

[tex](kj)(x)=-16x^2-12x+10[/tex]

Therefore, the function rule for  (kj)(x) is, [tex]-16x^2-12x+10[/tex]

Answer:

C is your answer...

Answer:

Its C

Step-by-step explanation:

Edge 2020

The volume of Nadya's container, calculated using the formula for the volume of a cylinder and rounded to the nearest cubic centimeter, is 1414 cubic centimeters.

The volume of Nadya's container can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V represents volume, r represents the radius of the base, and h represents the height. Given that the radius of the container's base is 5 centimeters and the height of the container is 18 centimeters, substituting these values into the formula gives you V = π(5)²(18) = 1413.72 cubic centimeters. Rounded to the nearest cubic centimeter, the volume is 1414 cubic centimeters.

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First you would need to move the variable causing it to change its sign

5x=10-y

Then divide both sides by 5

X=2-1/5y

Then you are left with your answer:

x=2-1/5y

Hope this helps! :3

Answer:

Step-by-step explanation:

Use the formula of a midpoint:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points P(-2a, 0) and Q(0, 2b). Substitute:

[tex]x=\dfrac{-2a+0}{2}=\dfrac{-2a}{2}=-a\\\\y=\dfrac{0+2b}{2}=\dfrac{2b}{2}=b[/tex]

Answer:

180°

Step-by-step explanation:

The measures of the angles in the triangle shown are ...

81.87°, 60.26°, 37.87°

The sum of those measures is ...

81.87° + 60.26° + 37.87° = 180.00°

Answer:

[tex]s = 21\ ft\\\\a = -6\ \frac{ft}{s^2}[/tex]

Step-by-step explanation:

To find the changes in the slope of the function s(t) we find its derivative

[tex]\frac{ds(t)}{dt} = 3t^2 - 18t +24\\[/tex]

Now we make [tex]\frac{ds(t)}{dt} = 0[/tex]

[tex]3t^2 - 18t +24 = 0[/tex]

[tex]3t^2 - 18t +24\\\\3(t^2-6t + 8)\\\\3(t-4)(t-2)\\\\t_1 =4\\t_2=2\\[/tex]

The particle changes direction for the first time at t = 2 sec

The position at t = 2 sec is:

[tex]s(t=2) = (2)^3 - 9(2)^2 + 24(2) + 1\\\\\s(2) = 21\ ft[/tex]

The acceleration after t = 2 sec is the second derivative of s(t), evaluated at t = 2:

[tex]\frac{d^2s(t)}{d^2t} = 6t -18\\\\\frac{d^2s(t)}{d^2t}(2) = 6(2) -18\\\\ a = 12-18\\\\a = -6\ \frac{ft}{s^2}[/tex]

Answer:

The position is 21 feet

The acceleration is -6 ft/sec²

Step-by-step explanation:

∵ s(t) = t³ - 9t² + 24t + 1

- where s is the displacement in feet and t is the time in second

∵ v(t) = ds/dt ⇒ velocity is the differentiation of s(t)

∵ a(t) = d²s/dt² = dv/dt ⇒ acceleration is the differentiation of v(t)

∴ v(t) = 3t² - 18t + 24

∵ When the particle reverses means v(t) = 0

∴ 3t² - 18t + 24 = 0 ⇒ ÷ 3

∴ t² - 6t + 8 = 0

∴ (t - 2)(t - 4) = 0

∴ t - 2 = 0 ⇒ t = 2 seconds

∴ t - 4 = 0 ⇒ t = 4 seconds

- That means the particle will change its direction first after 2 seconds

  and again after 4 seconds

∵ a(t) = dv/dt

∴ a(t) = 6t - 18

∵ t = 2

∴ a(2) = 6(2) - 18 = 12 - 18 = -6 ft/sec²

∵ s(t) = t³ - 9t² + 24t + 1

∴ s(2) = 2³ - 9(2)² + 24(2) + 1 = 21 feet

Answer:

Step-by-step explanation:

Divide 2/3 by 4/5

Which is done by K(eep)C(hange)F(lip)

2/3 * 5/4 = 10/12 = 5/6

N= 5/6

Here is how we do it:

First, we must simplify 4/5n to 4n/5.

Then we simplify:   [tex]2/3n[/tex] to get [tex]2n/3.[/tex]

After we multiply both sides by the number 15.

[tex]12n =  10n[/tex]

Alright, now let's move them all together.

It would be: [tex]12n - 10n = 0[/tex]

Our last step is to simplify 12n - 10n to 2n.

Then we receive: [tex]2n = 0[/tex]

After we divide both sides by 2.

Our final answer is: [tex]n = 0[/tex]

Answer: first option.

Step-by-step explanation:

The formula you must use to calculate the volume of the figure shown is the following:

[tex]V=\frac{BH}{3}[/tex]

Where B is the area of the base and  H is the height.

Assuming that the base of the pyramid is a square, you have that B is:

[tex]B=(10units)^2=100units^2[/tex]

Substitute values into the formula, Then you obtain:

 [tex]V=\frac{(100units^2)(12units)}{3}=400units^3[/tex]

Answer:

Final answer is 400 cubic units.

Step-by-step explanation:

We have been given length of the base edge of square pyramid = a = 10 units

vertical height of the square pyramid = h = 12 units

Now we need to find the volume of the square pyramid.

So apply formula :

[tex]Volume = \frac{1}{3}a^2h[/tex]

[tex]Volume = \frac{1}{3}(10)^2(12)[/tex]

[tex]Volume = \frac{1}{3}(100)(12)[/tex]

[tex]Volume = \frac{1}{3}(1200)[/tex]

[tex]Volume = 400[/tex]

Hence final answer is 400 cubic units.

6y - x = 12 //Solve for y.

6y = x + 12

y = x/6 + 2

Slope = m = 1/6

For the second which is perpendicular to line one has a slope of -6.

NOTE: Perpendicular line has negative reciprocal slope. 1/6 negative reciprocal would be -6.

Second line:

m = -6

point = (-1,2)

y - y1 = m(x - x1) //Plug in m and point in place of (x1,y1).

y - 2 = -6(x - -1)

y - 2 = -6x -6

y = -6x -6 +2

y = -6x - 4

//Hope it helps

Answer:

B) 200 + 4c - 6b

Step-by-step explanation:

Be,

c = number of cards sold at $4

b = number of cards purchased at $6

x = money at the beginning of the day = $200

y = money at the end of the day

The variables x and c owe positive values because they represent possession or income of money, while b must be negative because purchases are expenses.

Then, the following equation is formed:

y = x + 4c - 6b

Substituting x for its value, you get

y = 200 + 4c - 6b

Hope this helps!

The range of the sample means calculated from the provided data is 2.2.

To find the range of the sample means, we first need to calculate the mean for each row and then find the range of these means.

Calculating the mean for each row:

1st row: (3 + 1 + 0 + 4 + 1) / 5 = 9 / 5 = 1.8

2nd row: (4 + 2 + 3 + 0 + 5) / 5 = 14 / 5 = 2.8

3rd row: (0 + 1 + 1 + 2 + 0) / 5 = 4 / 5 = 0.8

4th row: (4 + 1 + 4 + 4 + 2) / 5 = 15 / 5 = 3

5th row: (3 + 2 + 0 + 1 + 4) / 5 = 10 / 5 = 2

Now, let's find the range of these means:

Range = Maximum mean - Minimum mean

Range = 3 - 0.8 = 2.2

Therefore, the range of the values for the sample means is 2.2.

So the answer is (C)

c.2/5

hope this HELP

Answer:

2 to the power of 5

Step-by-step explanation:

The output is -20 to this question

The output of the given linear function at x = 7 is -20.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given function,

y = -3x + 1

Here x is the input and y is the output.

Put x = 7

y = -3 ×7 + 1

y = -21 + 1 = -20

Hence "The output of the given linear function at x = 7 is -20".

For more about the linear function,

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