The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1

Answers

Answer 1

Answer:

[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]


Related Questions


What value of c is needed to complete the square?

X2 + 10x + c = -3+ c

Answers

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

What is the measurements for me b ?

Answers

Answer:

Step-by-step explanation:

Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees

Which expression is equivalent to the given expression?
(3y – 4)(2y + 7) + 1ly – 9​

Answers

Answer:

16y-6

Step-by-step explanation:

(3y-4)(2y+7)+11y-9

5y+3+11y-9

16y-6

????????????????????????mark me brainliest pls! :}

Answer: D.   6y^2  +  24y  -  37

Step-by-step explanation:

i would but a homie is running on a flip phone hehe

jus use the distributive thing

Help,anyone can help me do quetion​

Answers

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

help appreciated!!!!!

Answers

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

Hope this helps u !!

What is the approximate area is the shaded sector in the circle shown below?

Answers

Answer:

B.

Step-by-step explanation:

1) the area of the given circle is: A=π*r²=256π (in²).

2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).

35 and 50 (make a chart, list all factors, and make factor tree)

Answers

Answer:

35          50

1             2

5            5

7            10

35         25

             50

Factor Trees are in the images!

A game decreased by 1/5. After the reduction it was priced at £48. What was the original price of the game. Can someone show me an easy method please? :)

Answers

Answer:

60

Step-by-step explanation:

Reduced cost=(4/5)*original price

Original price=48*(5/4)=60

Find the value of x.

Answers

Answer:

x=9

Step-by-step explanation:

so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9

Answer:

x=9

Step-by-step explanation:

missing angle + 60 + 60=180 degree (sum of interior angles of a triangle

missing angle + 120 =180

missing angle =180 -120

missing angle =60 degree

since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9

Anna is cutting several lengths of twine. The length of the first piece is 4 inches. She cuts the second piece one inch longer than 3 times the length of the first piece. If Anna continues the pattern, which sequence shows the lengths of the first four pieces?

Answers

Answer:

the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.

Step-by-step explanation:

look above, hope this helps...

brainliest...

Answer:

The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in

No files just type it in please and thank you<3

Answers

Answer:

Option C is correct

Step-by-step explanation:

[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]

[tex]6 \times 8 = 48[/tex]

Hope it is helpful...

Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years

Answers

Answer:

[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]

A = 500(1 + .028/1)^ (3*1)

$543.19

Step-by-step explanation:

Need help with this math

Answers

Here is all of my work from answering the question. I’ll put pictures too, my handwriting is pretty good so it should be easy to see. ;)

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

I used substitution in Part B. 4x and x = 2.

I really hope this is right and helps, good luck! ;)

The function h (2) = -16x2 + 200 gives the height, in feet, of a ball after 2 seconds since being dropped from a
cliff.
Consider h(3) and its meaning in this situation.

Answers

Answer:The ball dropped 56 feet after 3 seconds

Step-by-step explanation:

3. Find the measure of each indicated arc or the measure of an inscribed angle.

b. Find the measure of Arc BAD

Answers

Answer:

Step-by-step explanation:

Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.

type of lines can be found in letter T vertical and _______​

Answers

Answer:

Horizontal

Step-by-step explanation:

Circle o centered at the origin that passes through (9,-2)

Answers

Answer:

Step-by-step explanation:

center at the origin means

x^2 + y^2 = r^2

9^2 + (-2)^2 = 81+4 = 85, so the circle is

x^2 + y^2 = 85

center at (0,-2) means

x^2 + (y+2)^2 = r^2

(-6)^2 + (0+2)^2 = 36+4 = 40

x^2 + (y+2)^2 = 40

The equation of circle which is centered at the origin that passes through (9,-2) is,

⇒ x² + y² = 85

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Circle o centered at the origin that passes through (9,-2).

Now, We can find the radius of circle as;

Radius of circle is distance between (0, 0) and point (9, - 2).

⇒ r = √ (- 2 - 0)² + (9 - 0)²

⇒ r = √4 + 81

⇒ r = √85

Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,

⇒ x² + y² = (√85)²

⇒ x² + y² = 85

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg

Answers

b will be ur answer bc the weight of set of books

Write a numerical expression for the verbal expression
eight times six divided by two minus nine

Answers

Answer:

Step-by-step explanation:

Ahh

(8*6)/2-9 there are like a lot of ways to write this btw but this is one and it’ll result in 15

A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?

Answers

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?

Answers

Answer:

a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.

Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.

Answers

Answer:

use substitution

(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22

Answer:

22

Step-by-step explanation:

X(x-3)=0 find all solutions what does x=?

Answers

Answer: x={0,3}

x(x-3)=0
x=0, x-3=0
x=0, x=3
x={0,3}

in how many ways can a principal choose 3 of their 30 teachers to attend a conference

need ko po ng explanation please.....​

Answers

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.

Answers

hey there, i might be interested in this deal. how much will i be getting paid?

Plz plz plz HELPPPPP 20 divided by 34

Answers

Answer:

About 0.588.

Step-by-step explanation:

20 divided by 34 is 0.58823529411.

This rounds to 0.588.

Hope this helps!

At Mike’s Pet shop there are 300 total animals and the ratio of cats to dogs is 7:3. At Pets R Us there are 150 total animals and the ratio of cats to dogs is 6:4. What fraction of the total animals at both stores are cats? Show your work

Answers

Mikes pet shop: add the ratio: 7+ 3 = 10

Divide total animals by the sum:

300/10 = 30

The ratio of cats is 7

Total cats = 30 x 7 =210

Do the same for Pets R Us:

Ratio: 6 + 4 = 10

150/10 = 15

Cats = 15 x 6 = 90

Total cats = 210 + 90 =300

Total animals = 300 + 150 = 450

Fraction that are cats = 300/450 = 2/3

2/3 of the animals are cats

What is the slope of the line that contains the points (-2, 5)and (3,-5)?

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2


If two lines are perpendicular, their slopes are negative reciprocals

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Both slopes have to be negative reciprocals for the two lines to be perpendicular.

Hope this Helps!

find the inverse of the given function h(x) = 2x-4/3

Answers

Answer:

[tex]h^-^1(x)=0.5x+1.5[/tex]

Step-by-step explanation:

Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.

[tex]h(x) = 2x - \frac{4}{3}[/tex]

Inverse operations,

[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]

Simplify,

[tex]0.5(h(x))+1.5=x[/tex]

Write in inverse function notation,

[tex]h^-^1(x)=0.5x+1.5[/tex]

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