If y=4 when x=12, find y when x=-24

Answers

Answer 1

The value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?

y ∝ x  (given)

y = kx

k is the constant of proportionality.

4 = 12k  (y = 4, and x = 12)

k = 1/3

y = x/3

Plug x = -24

y = -24/3

y = -8

Thus, the value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

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Related Questions

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Answers

Step-by-step explanation:

[tex]29 {}^{ \frac{x}{2} } [/tex]

[tex]((29) {}^{ \frac{1}{2} } ) {}^{x} [/tex]

The answer is A

what are the solutions in the following equations?​

Answers

Answer: (0, -6) and (1, -5)

Step-by-step explanation:

If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,

[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]

If x=0, y=-6.

If x=1, y=-5.

So, the solutions are (0, -6) and (1, -5)

The surface area of a cone is 250 square centimeters. The height of the cone is double the length of its radius.

What is the height of the cone to the nearest centimeter?

A.
10 centimeters
B.
20 centimeters
C.
15 centimeters
D.
5 centimeters

Answers

Answer: C

Step-by-step explanation:

just took it

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

Given that, the surface area of a cone is 250 square centimetres. The height of the cone is double the length of its radius.

We need to find what is the height of the cone to the nearest centimetre.

What is the surface area of a cone?

The area occupied by the surface/boundary of a cone is known as the surface area of a cone. It is always measured in square units. Stacking many triangles and rotating them around an axis gives the shape of a cone. As it has a flat base, thus it has a total surface area as well as a curved surface area.

If the radius of the base of the cone is "r" and the slant height of the cone is "l", the surface area of a cone is given as total surface area, T = πr(r + l) square units

Now, let the radius of a cone be x.

Then the height of the cone is 2x.

Slant height=√x²+4x²

=√5x

So, the surface area of cone=πx(x+2.24x)

⇒250=3.14 × 3.24x²

⇒x²=24.57

⇒x=4.95≈5 centimetre

So, height=2x=10 centimetre

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

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What is the inverse of f(x)=9x-3

Answers

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3

Answer:

y = x + 3/9

Step-by-step explanation:

Change f(x) y = 9x-3

Solve for y +3 +3

x+3 = 9y = y=x+3/9

Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).

The sheets are then folded into thirds as shown.

What are the measurements in millimetres of each folded leaflet?

Answers

5%3×4+14-15 answers thes questions

Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

Vertical angles are angles that are opposite of each other on two crossing lines.

They have equal angle measure.

When we look at the image, we can tell that, from the given options:

A. <LRA and <FRA and

B. <TRF and <NRL are vertical angles.

Based on the graph of g(x), on which intervals
are the function's values negative? Select all that
applv.

Answers

Answer:

[tex]\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty[/tex]

Step-by-step explanation:

The graph lies below the x-axis.

What expression is equivalent to ten square root five

Answers

The expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 10√5

We can write the above equation:

= √(10×10×5)

Because √(10×10) = 10

= √(100×5)

= √500

Thus, the expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.

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How can the logarithmic expression be rewritten?

Select True or False for each statement.

Answers

Answer:

True, True, False

Step-by-step explanation:

A merchant has 120 liters of oil of one kind, 180 liters of another kind, and 240
liters of the third kind. He wants to sell the oil by filling the three kinds of equal
capacity. What should be the greatest capacity of such a tin?

Answers

The merchant needs to fill 60 litres of all types of oils .

What is HCF ?

HCF is the highest common factor, it is the factor in common in more than two numbers.

It is given in the question that

A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.

He wants to sell the oil by filling the three kinds of equal capacity.

To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

HCF=2×2×3×5=60

The greatest capacity = 60 litres

So the merchant needs to fill 60 litres of all types of oils .

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area of a trapezium base 8 top6 height 4

Answers

The area of a trapezium with base 8 top 6 height 4 is 28 cm².

Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.

What is the area of a trapezium?

The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.

We know that area of a trapezium [tex]=\frac{1}{2}(a+b) \times h[/tex]

Where a and b are parallel sides of a trapezium.

Now, the area of a given trapezium [tex]=\frac{1}{2}(6+8) \times 4[/tex] cm²

=14×2=28 cm²

Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².

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Determine the domain of (g ∘ f)(x) if f (x) = x2 + x − 3 and g of x is equal to 1 over the quantity x plus 1 end quantity period {x ∈ ℝ| x ≠ −1} {x ∈ ℝ| x ≠ −2, 1} {x ∈ ℝ| x ≠ −2, −1, 1} {x ∈ ℝ}

Answers

The domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

What is domain?

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

given function:

f(x) = x² + x -3

g(x) = 1/x+1

Now, solving the equation

gof = g(f(x))

=g( x² + x -3)

=1/(x² + x -3)+1

=1/ x² + x -2

= 1/ x² +2x - x -2

= 1/ x( x+ 2) - (x +2)

=1/ (x+2)(x-1)

Hence, the domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

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Your Uncle Malcolm has a honeybee colony that consists of a single queen, hundreds of male drones and roughly 60,000 female worker bees. His beehive produced 200
pounds of honey last year. If Uncle Malcolm continues beekeeping with the same
number of bees, how many pounds of honey will his hive produce after 10 years? Write
your answer in scientific notation.

Answers

In scientific Notation , After 10 years he will have in total 2 x 10 ³ pounds.

What is Scientific Notation ?

Scientific Notation is a way of writing very large or small quantities.

It is written in the form of  x 10ˣ

It is given that

The colony of bees has a single queen, hundreds of male drones and roughly 60,000 female worker bees.

The quantity of honey produced is 200 pounds.

After 10 years he will have in total

200 * 10 = 2000 pounds

In scientific Notation it will be written as

2 x 10 ³ pounds.

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A line passes through (-9,-6) and has an undefined slope. Write an equation of the line satisfying the given conditions.
A. x= -9
B. y= -9
C. y= -6
D. x= -6

Answers

The equation of the line is x = -9 , Option  is the correct answer

What is the equation of a line ?

The equation of a line is given by y = mx+c

where m is the slope and c is the intercept

It is given that

A line passes through (-9,-6) and has an undefined slope.

undefined slope means it is a vertical line at -9

Therefore the equation of the line is x = -9 , Option  is the correct answer

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P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ?

Answers

Answer:

[tex]P(x) = (x+1)(x-2)(x-3)^2 + 108[/tex]

Step-by-step explanation:

let me know if you want an explanation

9 is subtracted from 3 times the sum of 4 and 2.​

Answers

Answer:

9

Step-by-step explanation:

This problem is represented below.

=3(4+2)-9

=3(6)-9

=18-9

=9

3 x (4 + 2) - 9 is the representative equation for this sentence. According to pemdas, we first evaluate parenthesis. 4 + 2 = 6. In the next order of pemdas, we multiply. 3 x 6 = 18. Lastly, we can subtract the final two numbers to get our final result for the sentence. 18 - 9 = 9. Therefore, our final answer to this equation is 9.

Your final answer: 3 x (4 + 2) - 9 = 9.

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%
compounded quarterly.

Answers

Answer:

value: $66,184.15interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

formula

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

calculator

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

a)

The future value of the annuity due is $66,184.15.

b)

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

I also dont get this :(

Answers

An equation is formed of two equal expressions. If x is increased by 5 then the value of y is increased by 10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that y=2x+1, now if the value of x increased by 5. then the value of y will be,

[tex]y_1=2(x+5)+1\\y_1 = 2x + 11[/tex]

Now if we compare y and y₁, then it can be said that if x is increased by 5 then the value of y is increased by 10.

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Match each equation below with its solution(s).
1. x² =4
2.x² = -4
3.x² +2=0
4.x²-2=0
5.x² = -18
6.x²=18
8.x+2=0
7.x-2=0
+2i +3i√√2 +√√2 2 ±2 -2 ±i√√2 +3√√2
Drag each solution above to the matching equation below.
1.
2.
3.
4.
5.
6.
7.
8.

Answers

[tex]1) \pm 2 \\\\2) \pm 2i\\\\3) \pm i\sqrt{2}\\\\4) \pm \sqrt{2}\\\\5) \pm 3i\sqrt{2}\\\\6) \pm 3\sqrt{2}\\\\7) 2\\\\8) -2[/tex]


The number 900 is increased by 20% and then decreased by 20%. Find the new number.(the ans is 864 apparently:/ I need steps)

Answers

Step-by-step explanation:

if 900 is increased by 20% then

120/100×900=1080

Decreasing it by 20% then

80/100×1080=864

What is the reciprocal of (10xyz)/(40xyz)

Answers

Answer:

4

Step-by-step explanation:

10xyz/40xyz

the xyz would cancel out

leaving 10/40.

10/40 would then simplify to 1/4 (divide by 10)

1/4

The reciprocal of 1/4 is 4

To check:

1/4 * 4 = 1

Someone do this please, ty.

Answers

5 is the missing value.

Step-by-step explanation:

12x = 60

x = 60/12

x = 5

Answer:

[tex]\boxed{\rm x = 5}[/tex]

Step-by-step explanation:

[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]

Find the missing value.

Solution with work shown:

Use criss-cross multiplication:

[tex]12 \times x = 3 \times 20[/tex][tex]12x = 60[/tex]

Divide both sides by 12:

[tex] \cfrac{12x}{12} = \cfrac{60}{12} [/tex]

[tex]x = 5[/tex]

Hence,the missing value is 5.

In the following month 10% savings on other costs are expected. What is the total other costs target for next month for the five locations

Answers

Answer:

The given question is incomplete. The graphs for the question are attached below.

Total savings on other costs expected in the following month is 13,950.

Total other costs targeted for next month for the five locations:

Washington Place = 14,850

Lincoln Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

Step-by-step explanation:

According to the graphs, there are two parts to this question

1. In the following month, 10% savings on other costs are expected.

The graph is attached below for reference

10% savings on other costs are expected in the following month:

=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)

=> 15,500 * [tex](1-\frac{10}{100})[/tex]

=> 15,500 * [tex]\frac{90}{100}[/tex]

=> 13,950

Total savings on other costs expected in the following month is 13,950

2. Total other costs target for next month for the five locations are:

Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850

Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900

Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 =           => 18,000

The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500

CWG Tenton = 0 * 0.9 = 0

Total other costs target for next month for the five locations:

Washington Place = 14,850

Lincoin Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

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patulong po,thankyou

Answers

The answer is 27 cubic meters. Why? Well, the formula for the volume of a rectangular box is length times width times height (or base times height because length and width make up what is known as the base). Provided these measurements, all we need to do in this equation is multiply the length, width, and height to get our volume.

1.8 x 1.2 = 2.16

2.16 x 12.5 = 27

Because we just multiplied all three numbers by each other, we have identified our missing volume. The volume of the rectangular box is 27 cubic meters.

Your final answer: A.

little melinda has nickels and quarters in her bank she has 8 fewer than nickels she has 5.60 in the bank how many coins of each type does she have

Answers

Answer:

She has 20 coins in her bank, where she has 12 nickels and 8 quarters

Step-by-step explanation:

A quarter is 25 centsA nickel is 5 centsSince she has 8 fewer than nickels, we add 8 to the number of nickels

Q = N + 8,   25Q + 5N = 560

25(N + 8) + 5N = 560

25N + 200 + 5N = 560

25N + 200 - 200 + 5N = 560 - 200

30N = 360

30N / 30 = 360 / 30

N = 12 nickels

Finding amount of Quarters:

Q = N + 8 → Q = 12 + 8

Q = 20 quarters

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Need help finding the quadratic function...15 pts for your help

Answers

The function is [tex]y = (x +2)^2 + 5.[/tex]

we use the vertex form of the quadratic equation

We have given a graph,

What is the vertex form of the quadratic equation?

y = a(x - h)^2 + k.

Therefore the vertex of the given graph is

See the vertex at (-2, 5)

Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).

[tex]y = a(x - (-2))^2 + 5.\\y=a(x+2)^2+5......(1)[/tex]

Now we have given that (-4,1) use this value in the above equation so we get,

[tex](1)=a(-4+2)^2+5[/tex]

[tex]1=a(-2)^2+5[/tex]

[tex]1=4a+5[/tex]

[tex]1-5=4a[/tex]

[tex]-4=4a[/tex]

[tex]a=-4/4[/tex]

[tex]a=-1[/tex]

Using the value of an in equation (1) we get,

Therefore the function is [tex]y = (x +2)^2 + 5.[/tex]

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The segments shown below could form a triangle.
A
C
B
8
O
B
A. True
B. False
15
A

Answers

Answer:

False

Step-by-step explanation:

these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape

F10) How many Solutions Does this
System Have?


y=2X
y = -x + 2

Answers

Answer:

See below.

Step-by-step explanation:

Problem:

Solve y=2x;y=−x+2

Steps:

I will solve your system by substitution.

y=2x;y=−x+2

Step: Solve y=2 x for y:

Step: Substitute 2x for y in y=−x+2:

y=−x+2

2x=−x+2

2x+x=−x+2+x(Add x to both sides)

3x=2

3x/3 = 2/3 (Divide both sides by 3)

x=2/3

Step: Substitute 2/3 for x in y = 2x

y=2x

y = 2(2/3)

y = 4/3 (Simplify both sides of the equation)

Answer:

x = 2/3 and y = 4/3

Answer:

only one at x = 2/3 y = 1 1/3

Step-by-step explanation:

At the same solution point Y = Y so

2x = -x + 2

3x = 2

x = 2/3

Sum of 1/2*3 +1/3*4 +1/4*5 ..1/99*100

Answers

Answer:

11∗2+13∗4+15∗6+⋯+199∗100=?

=(1−12)+(13−14)+(15−16)+⋯+(199−1100)

=(1+13+15+17+⋯+199)−(12+14+16+⋯+1100)

=(1+13+15+17+⋯+199)−12(1+12+13+⋯+150)

=∑k=15012k−1−∑k=15012k

Continue further.

(c) Nicole has a part-time job entering data in a computer. Her pay at the end of the week C
is affected by the amount of data she enters each hour. What is the dependent
variable?

Answers

Answer:

the dependent variable is the data because it's the one that changes

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