y varies directly as the square of x when x=2 then y =16 find y when x=8

Answer:

[tex]x=3\text{ or } x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|6x|+3=21[/tex]

First, subtract 3 from both sides:

[tex]|6x|=18[/tex]

Definition of absolute value:

[tex]6x=18\text{ or } 6x=-18[/tex]

Divide both sides by 6 for both equations:

[tex]x=3\text{ or } x=-3[/tex]

And we're done!

Answer:

[tex]x=3[/tex] and [tex]x=-3[/tex]

Step-by-step explanation:

[tex]\left|6x\right|+3=21\\[/tex]

Subtract 3 to both sides:

[tex]\left|6x\right|+3-3=21-3\\|6x|=18[/tex]

Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.

Thus,

Case 1:

[tex]6x=18[/tex]

Divide both sides by 6:

[tex]x=3[/tex]

Case 2:

[tex]6x=-18[/tex]

Divide both sides by 6:

[tex]x=-3[/tex]

Complete question is;

Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f(d), as a function of the number of days, d, he has exercised with the new routine.

Which statement represents a correct interpretation of f(d) ?

A. f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine

B. f(10) = 3500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.

C. f(15) = 5250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.

D. f(30) = 10500 means the number of calories Vincent has used times 30 is equal to 10,500

Answer:

Option A: f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine .

Step-by-step explanation:

We are told that f(d), is a function of the number of days, d, he has exercised with the new routine.

We are also told that he goes to the gym for 30 minutes daily.

Thus;

For option A, f(5) means that he went to the gym for 5 days. At 30 minutes per day means he exercised for a total of: 30 × 5 = 150 minutes. So option A is correct

For option B, f(10) means that he went to the gym for 10 days. At 30 minutes per day means he exercised for a total of: 30 × 10 = 300 minutes. Thus, option B is wrong

For option C, f(15) means that he went to the gym for 15 days. At 30 minutes per day means he exercised for a total of: 30 × 15 = 450 minutes. Thus, option C is wrong.

For option D, f(30) means that he went to the gym for 30 days. At 30 minutes per day means he exercised for a total of: 30 × 30 = 900 minutes. Thus, option D is wrong.

Answer: Gear 14 or 14.3

Step-by-step explanation:

Answer:

l-3l=3 and -3=-3

Step-by-step explanation:

The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,

l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.

Answer:

the first tem is greater than the second term so 3>-3

Step-by-step explanation:

you have to simplify the terms first.

3 is greater than -3

Answer:Quantitative data

Step-by-step explanation:

Answer:

Quantitative data

Answer:

473,000

Step-by-step explanation:

:D

Answer:

Correct answer:

(−4,0)

(0,4)

(1,5)

Step-by-step explanation:

The points (0,4), (1,5), and (−4,0) are on the line and are solutions to the equation. The points (0,2) and (−4,−2) are not on the line and are not solutions to the equation.

Answer:

[tex]y = \frac{2}{3} x + 5 \frac{2}{3} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

(10 + x) liters represents the total number of liters in the mixture

Step-by-step explanation:

Here, we want to find and expression representing the total number of liters in the solution; we proceed as follows;

The simple answer here is the sum of the liters of both solutions.

Mathematically, that would be 10 + x liters

We should understand that we do not have anything to do with the concentration of either solution and thus, the total amount in liters of both will be 10 + x liters

Answer:

The number of cars that brings the same profit is 9 and 0

Step-by-step explanation:

Given

[tex]x^2 - 4x = 5x[/tex]

Required

Determine the possible values of x

[tex]x^2 - 4x = 5x[/tex]

Subtract 5x from both sides

[tex]x^2 - 4x - 5x = 5x - 5x[/tex]

[tex]x^2 - 9x = 0[/tex]

Factorize

[tex]x(x - 9)= 0[/tex]

Split the equation

[tex]x = 0[/tex]         or        [tex]x - 9 = 0[/tex]

[tex]x = 0[/tex]         or        [tex]x = 9[/tex]

Hence, the number of cars that brings the same profit is 9 and 0

Answer:

b

Step-by-step explanation:

Answer:

She has 31 Friends

Step-by-step explanation:

68 pieces of gum - 6 remaining = 62 for friends

62 pieces for friends /2 each friend gets 2 =31 Friends.

Answer:

Emily has 31 friends.  

Step-by-step explanation:

If you do 31*2 it will give you 62. If you add 6 it will equal 68 which is the total. so the answer is 31.

PLS PICK ME A BRAINLIEST!!!!!

Answer:

The t-distribution is a kind of probability distribution that is bell-shaped (like the normal distribution) but has a good number of values at the tails, making the tails fatter and the curve flatter.

Step-by-step explanation:

The t-distribution is a kind of probability distribution that is bell-shaped (like the normal distribution) but has a good number of values at the tails, making the tails fatter and the curve flatter.

The smaller the sample size n, the flatter the t-distribution curve but the larger the sample size n, the closer in identity to the normal distribution, the t-distribution will be.

Answer:

6 gallons per minute

Step-by-step explanation:

35÷7=6

Answer: 134.25 lb of wool in the carpet

Step-by-step explanation:

You must find 75% of the total weight.

Answer:

The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.

Step-by-step explanation:

Let x represent the number of seats in the lower section then the number of seats in the upper section is 3x and y the number of seats in the field.

The equation can be written as

80x + 60 (3x) + 40 y= $1,140,000-----1

And x+ 3x+ y= 24,200------2

4x+ y= 24,200

or y= 24,200-4x----3

Solving Eq 1

80x + 180x + 40 y= $1,140,000

260x+ 40 y=$1,140,000-----4

Putting Eq 3 in Eq 4

260x+ 40 y=$1,140,000

260x+ 40(24,200-4x-)=$1,140,000

260x + 968,000- 160x= $1,140,000

100x= $1,140,000-968,000

100x= 172,000

x= 1720

The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.

Putting the values of x and y in Eq 1 we get the same revenue.

80x + 60 (3x) + 40 y= $1,140,000

80(1720) + 60 (5160) + 40( 17320)= $1,140,000

137600 + 309600 + 692800= $1,140,000

137600 + 1002400= $1,140,000

The total number of seats in the upper section is 5160, in the lower section is 1720 and the total number of seats in the field is 17320.

Given :

The following steps can be used in order to determine the total number of seats in each section:

Step 1 - In the lower section let the total number of seats be 'x'. So according to the given data, in the upper field, the total number of seats is '3x'. Now, let the total number of seats in the field be 'y'.

Step 2 - The linear equation that represents total revenue from the tickets.

[tex]\rm 80x + 60(3x)+40y = 1140000[/tex]

260x + 40y = 1140000    --- (1)

Step 3 - The linear equation that represents the total number of tickets is:

x + 3x + y = 24200

y = 24200 - 4x     --- (2)

Step 4 - Substitute the value of y in equation (1).

260x + 40(24200 - 4x) = 1140000

x = 1720 tickets

Step 5 - Substitute the value of 'x' in equation (2).

y = 24200 - 4(1720)

y = 17320 tickets

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

Yes.

Step-by-step explanation:

First, make a graph, or imagine one.

I'll be making an example graph that only goes up to 13 here.

           Age - 10    11     12    13

Height

v

6ft

5ft

4ft    

If we mark this graph with points, you will find that there is only 1 point on each age line!

           Age - 10    11     12    13

Height

v

6ft                                          *

5ft                          *       *

4ft                  *

This means the answer is yes!

Answer:

yes

Step-by-step explanation:

i got the answer right on my test so i know its right

Answer:

31+4x

Step-by-step explanation:

23+4(x+2)

23+4x+8

23+8=31

31+4x

hope this helps you :)

pls give me brainlest ;)

Answer:

Simplify the expression of 23+4(x+2)

We distribute 4 (x+2)

So 23+ 4×x+4×2

So 23 +4x+8

We simplify

(we calculate the numbers with the numbers and we leave 4x like that because there is no other x with which to calculate)

SO 4x+31

Answer:

I will tell you in the explanation...

Step-by-step explanation: God created us and god knows the answer. :)

Answer: b

Step-by-step explanation:

anser is b

Answer:

B) 10 units

Step-by-step explanation:

Area of a square is A = s², and perimeter of a square is P = 4s.

A = P + 60

s² = 4s + 60

s² − 4s − 60 = 0

(s + 6) (s − 10) = 0

s = -6 or 10

Since s can't be negative, s = 10 units.

Answer:The simplified value: 4.8 divided by 3 or the answer you’ll get from that is 1.6

Step-by-step explanation:

4.2+0.6=4.8 0.9-0.5=0.4 5*0.4=2 3-2=1 4.8 divided by 3

Answer:

The answer is 2.4

Step-by-step explanation:

4.2 + 0.6 divided by 3 minus 5(0.9 minus 0.5) = 2.4

I got it right and used a calculater.

Answer:

35y

Step-by-step explanation:

4 by the 5 power is 20

20 - 6 cause the 6 is negative but you could say 20 +-6 you'll still have to subtract

8 by the 2 power =16

then you take the plus sign and you add 20 + 16 = 36

then it says -1 for y

so you take out 1y

then that leave you with 35y

Answer:

Step-by-step explanation:

4(1)^5 - 6(1) + 8(1)^2 - 1

4 - 6 + 8 - 1

-2 + 8 - 1

6 - 1 = 5

Answer:

$0.39

Step-by-step explanation:

39¢

5.99 ÷ 15 = 0.39

Answer:

midpoint rule =  5.93295663

simpson's rule = 5.869246855

Step-by-step explanation:

a) midpoint rule

[tex]\int\limits^b_a {(x)} \, dx[/tex]≈ Δ x (f(x₀+x₁)/2 + f(x₁+x₂)/2 + f(x₂+x₃)/2 +...+ f(x[tex]_{n}[/tex]_₂+x[tex]_{n}[/tex]_₁)/2 +f(x[tex]_{n}[/tex]_₁+x[tex]_{n}[/tex])/2)

Δx = (b − a) / n

We have that a = 0, b = π, n = 8

Therefore

Δx = (π − 0) / 8 = π/8

Divide the interval [0,π] into n=8 sub-intervals of length Δx = π/8 with the following endpoints:

a=0, π/8, π/4, 3π/8, π/2, 5π/8, 3π/4, 7π/8, π = b

Now, we just evaluate the function at these endpoints:

[tex]f(\frac{x_{0}+x_{1} }{2} ) = f(\frac{0+\frac{\pi}{8} }{2} ) = f(\frac{\pi }{16})=\frac{\pi^{2}sin(\frac{\pi }{16}) }{256} =[/tex] 0.00752134

[tex]f(\frac{x_{1}+x_{2} }{2} ) = f(\frac{\frac{\pi }{8} +\frac{\pi}{4} }{2} ) = f(\frac{3\pi }{16})=\frac{9\pi ^{2} sin(\frac{3\pi }{16}) }{256}[/tex] = 0.19277080

[tex]f(\frac{x_{2}+x_{3} }{2} ) = f(\frac{\frac{\pi }{4} +\frac{3\pi}{8} }{2} ) = f(\frac{5\pi }{16})=\frac{25\pi ^{2} sin(\frac{5\pi }{16}) }{256}[/tex] = 0.80139415

[tex]f(\frac{x_{3}+x_{4} }{2} ) = f(\frac{\frac{3\pi }{8} +\frac{\pi}{2} }{2} ) = f(\frac{7\pi }{16})=\frac{49\pi ^{2} sin(\frac{7\pi }{16}) }{256}[/tex] = 1.85280536

[tex]f(\frac{x_{4}+x_{5} }{2} ) = f(\frac{\frac{\pi }{2} +\frac{5\pi}{8} }{2} ) = f(\frac{9\pi }{16})=\frac{81\pi ^{2} sin(\frac{7\pi }{16}) }{256}[/tex] = 3.062800704

[tex]f(\frac{x_{5}+x_{6} }{2} ) = f(\frac{\frac{5\pi }{8} +\frac{3\pi}{4} }{2} ) = f(\frac{11\pi }{16})=\frac{121\pi ^{2} sin(\frac{5\pi }{16}) }{256}[/tex] = 3.878747709

[tex]f(\frac{x_{6}+x_{7} }{2} ) = f(\frac{\frac{3\pi }{4} +\frac{7\pi}{8} }{2} ) = f(\frac{13\pi }{16})=\frac{169\pi ^{2} sin(\frac{3\pi }{16}) }{256}[/tex] = 3.61980731

[tex]f(\frac{x_{7}+x_{8} }{2} ) = f(\frac{\frac{7\pi }{8} +\pi }{2} ) = f(\frac{15\pi }{16})=\frac{225\pi ^{2} sin(\frac{\pi }{16}) }{256}[/tex] = 1.69230261

Finally, just sum up the above values and multiply by Δx = π/8:

π/8 (0.00752134 +0.19277080+ 0.80139415 + 1.85280536 + 3.062800704 + 3.878747709 + 3.61980731 + 1.69230261) = 5.93295663

b) simpson's rule

[tex]\int\limits^b_a {(x)} \, dx[/tex]  ≈ (Δx)/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + ... + 2f([tex]x_{n-2}[/tex]) + 4f([tex]x_{n-1}[/tex]) + f([tex]x_{n}[/tex]))

where Δx = (b−a) / n

We have that a = 0, b = π, n = 8

Therefore

Δx = (π−0) / 8 = π/8

Divide the interval [0,π] into n = 8 sub-intervals of length Δx = π/8, with the following endpoints:

a = 0, π/8, π/4, 3π/8, π/2, 5π/8, 3π/4, 7π/8 ,π = b

Now, we just evaluate the function at these endpoints:  

f(x₀) = f(a) = f(0) = 0 = 0

[tex]4f(x_{1} ) = 4f(\frac{\pi }{8} )=\frac{\pi^{2}\sqrt{\frac{1}{2}-\frac{\sqrt{2} }{4} } }{16}[/tex] = 0.23605838

[tex]2f(x_{2} ) = 2f(\frac{\pi }{4} )=\frac{\sqrt{2\pi^{2} } }{16}[/tex] = 0.87235802

[tex]4f(x_{3} ) = 4f(\frac{3\pi }{8} )=\frac{9\pi^{2}\sqrt{\frac{\sqrt{2} }{4}-\frac{{1} }{2} } }{16}[/tex] = 5.12905809

[tex]2f(x_{4} ) = 2f(\frac{\pi }{2} )=\frac{\pi ^{2} }{2}[/tex] = 4.93480220

[tex]4f(x_{5} ) = 4f(\frac{5\pi }{8} )=\frac{25\pi^{2}\sqrt{\frac{\sqrt{2} }{4}-\frac{{1} }{2} } }{16}[/tex] = 14.24738359

[tex]2f(x_{6} ) = 2f(\frac{3\pi }{4} )=\frac{9\sqrt{2\pi^{2} } }{16}[/tex] = 7.85122222

[tex]4f(x_{7} ) = 4f(\frac{7\pi }{8} )=\frac{49\pi^{2}\sqrt{\frac{1}{2}-\frac{\sqrt{2} }{4} } }{16}[/tex] = 11.56686065

f(x₈) = f(b) = f(π) = 0 = 0

Finally, just sum up the above values and multiply by Δx/3 = π/24:

π/24 (0 + 0.23605838 + 0.87235802 + 5.12905809 + 4.93480220 + 14.24738359 + 7.85122222 + 11.56686065 = 5.869246855

Answer:

a = -10

Step-by-step explanation:

Simplifying

7 + 4(2a + 15) = -13

Reorder the terms:

7 + 4(15 + 2a) = -13

7 + (15 * 4 + 2a * 4) = -13

7 + (60 + 8a) = -13

Combine like terms: 7 + 60 = 67

67 + 8a = -13

Solving

67 + 8a = -13

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-67' to each side of the equation.

67 + -67 + 8a = -13 + -67

Combine like terms: 67 + -67 = 0

0 + 8a = -13 + -67

8a = -13 + -67

Combine like terms: -13 + -67 = -80

8a = -80

Divide each side by '8'.

a = -10

Simplifying

a = -10

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

3xy^z: exponent is not a nonnegative int.

r-2s: it is not a product

(ab)^1/2: exponent is not a nonnegative int.

Answer:

✔ exponent is not a nonnegative integer

✔ it is not a product

✔ exponent is not a nonnegative integer