4. Suppose y varies directly with x. If y = 6 when x = -2, find x when y = 15.

Answers

Answer 1

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

[tex] { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} [/tex]

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

[tex] \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}[/tex]

- Therefore, the equation is;

[tex]{ \boxed{ \tt{y = - 2x}}}[/tex]

- What is x when y is 15

[tex]{ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}[/tex]

Answer 2

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = [tex]\frac{-15}{3}[/tex]

                        x = -5

Therefore, when y = 15, x = -5.

Learn how to solve equation:

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Related Questions

PLEASE HELP QUICK I NEED IT TO PASS

Answers

Answer:

Its 81

Step-by-step explanation:

81 good luck bestie :)

In a bag of red and green Holiday M&M’s there are 40 red M&Ms for every 100 M&Ms. How many red M&M’s are in the bag if there are 300 M&M’s total?

Answers

Answer:

if there are 300 m&m's there will be 120 red

Write the new equation if the graph of f(x)= 4x^2 + 3 is
translated up 4 units.

Answers

its impossible to solve this, but i got -47
I got -47 hope it’s right!

Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.

If they put 20% down, how much will they borrow for their mortgage?


The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?

How much would be paid on interest over the life of the loan>

Answers

Answer:

YES SIR Answer is b

Step-by-step explanation:

Which model represents the equation 4r = 24

Answers

Answer:

FOURTH

Step-by-step explanation:

AHHHHHHHHHHHHHHHHHHH 6 x 4 = 24

x IS 6

The model that represents the equation 4x  = 24 is the 4th table.

How to find the model that represents the equation?

The model that represents the equation 4r = 24 can be calculated as follows;

4x = 24

where

x is the variable

Therefore, 4x can be represented as follows:

4x  = x + x + x + x

Therefore, the model that represents the equation 4x = 24.

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Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 1: 13
O B. 3: 315
O C. :
OD. 1: 12
O E. : 13
O F. 13:3

Answers

Answer:

Step-by-step explanation:

we know that

In a  triangle

the ratio between the lengths of the two legs is equal to the tangent

so

therefore

the answer is

Option B

-------> could be the ratio

because is the value of the

Option C

------> could be the ratio

because is the value of the

Option E

-------> could be the ratio

because is the value of the

The options B, C and E giving the ratios are correct.

What are ratios?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,

Since, we know that,

In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.

so,

Tan 30° = 1/√3

Also,

√3 / 3 = 1/√3

3/3√3 = 1/√3

Hence, the options B, C and E giving the ratios are correct.

Learn more about ratio on:

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Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.

Answers

Answer:

m > 21

Step-by-step explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21

helppp pls i don’t get it

Answers

Answer:

what is the question i cant see the picture well

Step-by-step explanation:

Can someone please read this?? I keep trying to but I get distracted! ​

Answers

Answer:

it translates to something i can't say on here ;)

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​

Answers

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]5\sin(2x)=3\cos(x)[/tex]

To do so, we can rewrite the equation.

Recall the double-angle identity for sine:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

By substitution:

[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]

Distribute:

[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]

We can subtract 3cos(x) from both sides:

[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]

And factor:

[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

5 grams = centigigrams

Answers

Answer:

500

Step-by-step explanation:

estimate the following sum by rounding each number to the nearest 10
plz​

Answers

Answer:

184

Step-by-step explanation:

129.5 + 34.62 + 19.1

130 + 35 + 19

184

find the equation of the line use exact numbers

Answers

Answer:

y = -³/2x + 3

Step-by-step explanation:

To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).

✔️Slope (m) = ∆y/∆x

Using two points on the line, (0, 3) and (2, 0),

Slope = (0 - 3)/(2 - 0) = -3/2

Slope (m) = -³/2

✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)

✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b

This:

y = -³/2x + 3

me prions for apples per pound are listed
in the table.
$2.99
$1.29
$1.89
$1.59
$0.99
What is the mean price of apples
per pound?
F $1.75
G $1.59
H $1.14
$2.00

Answers

Answer:

Its F $1.75

Step-by-step explanation:

Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer

Answer:

The Answer is H $1.14

Step-by-step explanation:

First You have to add both mean in the second column:

$1.29+0.99=$2.28

Then you have to divide the price that u given in the second column that u get after u add both the price :

$2.29/2=1.14

∴The mean price of apples per pound is $1.14

6 3/4 x 5 + 2 1/4 =?

Answers

Answer:

40

Step-by-step explanation:

if it’s wrong pls message i will try to fix my mistake <3

Help me please I need to get this right

Answers

Answer:

1. 12

2. 8

3. 3

Step-by-step explanation:

To find the first answer all you must do is:

2 x 3 x 2 = 12

You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.

2 x 2 x 2 = 8

Last, this time you do 1 x 3 x 1.

One for the one bread and cheese and three for the meat.

This equals to be 3.

Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​

Answers

Answer:

345 - 40% = 207$

Step-by-step explanation:

(345 - 30%) - 15% = 205.3 (Better deal)

Answer:

30% off and additional 15% at the register

Step-by-step explanation:

Deal 1

$345 × 40% = $138

$345 - $138 = $207

Deal 2

$205.30

Some one help please

Answers

Answer:

subtracting 14 from sides of the number sentence

Step-by-step explanation:

14 + n = 84

Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.

Answer: subtracting 14 from sides of the number sentence

Im normally good at alg ish but im confused

Answers

Answer:

The problem is telling you to find g ( f ( x ) )

Since we know that f(x) is square root of x, we can put the function this way.

g(√x)

Then, we use  √x as our x in our g(x) function.

You plug in  √x for x and you solve.

(√x ) ^2 is just x.

Finally the answer is

x-3

hope this helps :)

Step-by-step explanation:

Answer x=-3
Hope this helps!

Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread??


NO FILE HOSTINGS
NO LINKS
NO POSTS
NO UNKNOWN FILES
NO UPLOADS TO OTHER FILES
I'LL REPORT IT IF YOU DO

Answers

Answer: 10 cups of flour

Step-by-step explanation:

15 1/2 cups of flour = 7 1/2 cups

7 1/2 ÷ 3 = 2 1/2

So, it takes 2 1/2 cups of flour to make one loaf of bread

If you want to make 4 loaves of bread, you multiply 2 1/2 × 4

2 1/2 × 4 = 10

It will take 10 cups of flour to make 4 loaves of bread.

Can some explain how to do algebra and what's the easiest way to do it
Please explain on the best possible​

Answers

Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.

whats the answer to this please

Answers

bubuoin ba ng salita yan

the graph of a piecewise defined function is given. evaluate f(-2), f(0), f(1)

Answers

Answer:

D

Step-by-step explanation:

because when x = -2 on the graph the y is -2 (-2,-2)

when the x values is 0 the y value is 1 (0,1)

and when x is 1 the y value is 2. (1,2)

hope this helps. have a good day

What is the precent of decrease from 5,000 to 50?

Answers

Answer:

-99%

Step-by-step explanation:

5000-99%=50

plz mark me as brainliest.

Answer:

10 percent

Step-by-step explanation:

5,000 x .01 = 50

Help me please. I’m having trouble. NO SCAM LINKS.

Answers

9514 1404 393

Answer:

  6.  4

  7.  36

Step-by-step explanation:

The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.

__

6. YX = YZ = 4

7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...

  ∠XWZ = ∠XWY +∠ZWY = 18 + 18

  ∠XWZ = 36

2. 10+ 2 + 3 x 5 - 3​

Answers

Your answer would be 24

1. Graph the function on the coordinate plane.

(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

Answer and step-by-step explanation:

On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.

Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.

If they put 20% down, how much will they borrow for their mortgage?


The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?

How much would be paid on interest over the life of the loan?

Answers

Answer:

Monthly Payment $2,741Monthly Payment $676

Step-by-step explanation:

A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by a home-buyer, any remaining balance will be amortized as a mortgage loan that must be fulfilled by the buyer. In other words, the purchase price of a house should equal the total amount of the mortgage loan and the down payment. Often, a down payment for a home is expressed as a percentage of the purchase price. As an example, for a $250,000 home, a down payment of 3.5% is $8,750, while 20% is $50,000.

Is 2: 8/3 and 2/3: 6 proportional.
yes or no?

Answers

Answer:

No

Step-by-step explanation:

first one

2:8/3

Multiply by 3

6:8

Divide by 2

3:4

second one

2/3:6

Multiply by 3

2:18

Divide by 2

1:9

1:9 =\= 3:4

No

What is the range of y = csc^-1(x) ?

Answers

The range is 17 because I took the tests s x is the variable

Answer:

Top right option

[-pi/2,0) and (0,pi/2)

Step-by-step explanation:

Edge 2021

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