Write the following inverse proportion: y is inversely proportional to x ^ 3 When y = 15 , x = 23

Answer:

y intercept = 5

Step-by-step explanation:

f(x)=5•(1/6)^x

The y intercept is when x =0

Let x =0

f(0)=5•(1/6)^0      

= 5* 1     = 5

The y intercept is 5

If the question is

f(x)=5•(1/6)x

although I have never seen the question written this way

The y intercept is when x =0

Let x =0

f(0)=5•(1/6)0      

= 5* 0     = 0

The y intercept is 0

Answer:

B.    1

Step-by-step explanation:

The y-intercept occurs at x = 0

therefor the applicable function is

f(x) = -x + 1

at x=0

f(0) = -0 + 1

f(0) = 1

Answer:

Step-by-step explanation:

take 18 degree as reference angle

using cos rule

cos 18=adjacent/hypotenuse

0.95=x/27

0.95*27=x

25.65=x

25.7=x

Answer:

[tex]Width = 14feet[/tex]

Step-by-step explanation:

Given

[tex]Area = 154[/tex]

[tex]Width = 11[/tex]

Required

The length

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Width, the subject

[tex]Width = \frac{Area}{Length}[/tex]

So, we have:

[tex]Width = \frac{154}{11}[/tex]

[tex]Width = 14feet[/tex]

Answer:

x = {-3, 4}

Step-by-step explanation:

(3x + 9)(x − 4) = 0

Solution 1

3x + 9 = 0

3x = -9

x = -3

Solution 2

x - 4 = 0

x = 4

x = {-3, 4}

---------------------------

if by solve you meant expand

(3x + 9)(x − 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

Answer:

x = 4

x = - 3

Step-by-step explanation:

Method 1

Quadratic Formula

(3x + 9)(x - 4) = 0

3x(x - 4) + 9(x - 4) = 0

3x² - 12x + 9(x - 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

3(x² - x - 12) = 0

[tex]\frac{3(x^{2} - x - 12)}{3} = \frac{0}{3}[/tex]

[tex]x={\frac{-b±\sqrt{b^{2}-4ac } }{2a} }[/tex]

Ignore the A after the -b, wouldn't let me type it correctly. Ignore the A for the rest of the explanation as well.

x² - x - 12 = 0

a = 1

b = - 1

c = - 12

[tex]x={\frac{-(-1)±\sqrt{(-1)^{2}-4(1(-12)) } }{2(1)} }[/tex]

[tex]x={\frac{-(-1)±\sqrt{1-4(1(-12)) } }{2(1)} }[/tex]

[tex]x={\frac{-(-1)±\sqrt{1+48 } }{2(1)} }[/tex]

[tex]x={\frac{-(-1)±\sqrt{49 } }{2(1)} }[/tex]

[tex]x={\frac{1±7 }{2(1)} }[/tex]

[tex]x={\frac{1±7 }{2} }[/tex]

Separate into two equations.

One with addition and the other with subtraction.

[tex]x={\frac{1+7 }{2} }[/tex]

[tex]x={\frac{1-7 }{2} }[/tex]

x = 4

x = - 3

Method 2

Factors

(3x + 9)(x - 4) = 0

3x(x - 4) + 9(x - 4) = 0

3x² - 12x + 9(x - 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

3(x² - x - 12) = 0

3(x² + 3x - 4x - 12) = 0

3(x² + 3x + (- 4x - 12)) = 0

3(x(x + 3) - 4(x + 3)) = 0

3(x - 4)(x + 3) = 0

Create separate equations

x - 4 = 0

x + 3 = 0

x - 4 = 0 ⇒ x - 4 + 4 = 0 + 4 ⇒ x = 4

x + 3 = 0 ⇒ x + 3 - 3 = 0 - 3 ⇒ x = - 3

x = 4

x = - 3

Answer:

Hello there! Mizuki here to help!

The correct answer will be:

Fred is going to spend $1380.41

Step-by-step explanation:

The whole work I did:

500 x 0.3 = 150

617 x 0.59 = 364.03

379 x 0.98 = 371.42

116 x 4.25 = 493

2 x 0.98 = 1.96

150 + 364.03 + 371.42 + 493 + 1.96 = 1380.41

Answer:110 degrees

Step-by-step explanation:

Answer:

y = - 0.0635x + 69.050 ;

For every unit increase in commute time, well being falls by 0.0635 on average ;

67.1

Step-by-step explanation:

Given :

Commute Time (minutes), x : 5 20 25 35 60 72 105

Well-Being Index Score, y : 69.1 67.8 67.1 66.6 65.0 65.0 62.3

The regression model obtained is :

y = - 0.0635x + 69.050

Where ;

y = Well being Index Score

x = Commute time

Slope = - 0.06352

Intercept = 69.0504

2.)

The slope value, - 0.0635 gives the rate of change in y per unit increase in x.

3.)

Well being Index for a person with commute time of 30 minutes

x = 30

y = - 0.06352(30) + 69.0504

y = 67.1448

y = 67.1 (1 decimal place)

Answer:

(5,3)

Step-by-step explanation:

Answer:

(5,3)

Step-by-step explanation:

When rotating a point (x,y) [tex]270^{\circ}[/tex] around the origin, the new coordinates become (y,-x). Since x is initially -3 and y is initially 5, the new coordinates are (5, 3).

9514 1404 393

Answer:

  8)  a. chord

  9)  b. radius

Step-by-step explanation:

8) Of the items listed, only a chord and a diameter are segments. A diameter is a chord, so of the two appropriate choices, we prefer the more general answer "chord" .

__

9) Of the segments listed, only the radius has one end point at the center of the circle.

D should be your answer :)

Answer:

1/14

Step-by-step explanation:

The sectors labeled are B, Y, G, C, P, F, O, V, M, A, D, E, H, and R.

Total number of sectors = 14.

When Victoria spins the spinner 18 times, and it stops at the letter B 10 times.

When Victoria spins the spinner  the theoretical probability that this time it will stop at the letter B = Favourable  outcomes ÷total number of outcomes.

Favourable outcomes =1 and Total number of outcomes = 14.

Hence Theoretical Probability = 1 over 14.

Answer:

that child is correct so give them brainylest.

Step-by-step explanation:

Answer:

First answer: 5x+8x+9+3+4

Second answer: 13x+16

Answer:

The balloon is 1405.38 feet above the ground.

Step-by-step explanation:

tan 37 = opp/adj = x/1865

tan 37/1 = x/1865

1865 tan 37 = x

x=1405.378303...≈1405.38

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Multiply −1-1 by 22.

−2

Answer: 45.5 square yards

The formula for finding the area of a triangle is: A=1/2bh

1. Multiply 13 and 7 to get 91

2. Multiply 91 by 1/2 or divide it by 2 to get 45.5

3. Write the units to get 45.4 sq. yds.

Answer:

[tex] \cos( \theta) = \frac{ - \sqrt{} 7}{5} \\ \theta = \cos {}^{ - 1} ( \frac{ \sqrt{} - 7}{5} ) \\ \theta = 58.1 \degree, \: 121.9 \degree, \: 238.1 \degree[/tex]

Answer:

thx for the points MWAH!

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = 3.14 × r² × h

r= 20/2 =10 cm

h = 11 cm

V = 3.14 x10² x 11 = 3454 cm³

Answer:

y = -2.5x + 5

Step-by-step explanation:

10x + 4y = 20

Subtract 10x from both sides.

4y = -10x + 20

Divide both sides by 4.

y = -2.5x + 5

Answer:

I think its 0

Step-by-step explanation:

Answer:

It's 1/21

cuz if u divide them that what i got

Step-by-step explanation:

Answer:

$89.93

Step-by-step explanation:

Set up an equation:

Variable x = original price

40/100 = 35.97/x

Cross multiply

40 × x = 100 × 35.97

40x = 3597

Divide both sides by 40

x = 89.925

Round to the nearest cent:

5 rounds up so:

89.93

Check your work (use the original number instead of the rounded number to be more exact):

89.925 × 40%

Convert the percentage into a decimal to multiply:

89.925 × 0.40

35.97

Correct!

Answer:

o

Step-by-step explanation:

-4h=32

h=32/-4

h=-8

Answer:

h=-8

Step-by-step explanation:

-4h=32

Isolate h by dividing -4 on both sides

h=32/-4

Simplify

h=-8

If this helps please mark as brainliest

Answer:

The predicted score for the dependent variable will be of 198,454.4.

Step-by-step explanation:

Equation of a regression line:

The equation of a regression line has the following format:

[tex]y = ax + b[/tex]

In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.

A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.

So [tex]y = 326.07x + 8.19[/tex]

What will be the predicted score for the dependent variable if the independent variable is 608.6?

y when x = 608.6. So

[tex]y = 326.07*608.6 + 8.19 = 198454.4[/tex]

The predicted score for the dependent variable will be of 198,454.4.

Here's the solution,

Surface area :

=》

[tex] \boxed{\mathbf { \footnotesize (2 × area \: of \: triangle) + (3 × area \: of \: rectangle) }}[/tex]

=》

[tex] (2 \times \dfrac{1}{2} \times 8 \times 3) + (3 \times 12 \times 5)[/tex]

=》

[tex]24 + 180[/tex]

=》

[tex]204[/tex]

surface area = 204 cm²

Answer:

b

Step-by-step explanation:

step 3=it must be corrected by

20=2

Answer:

The answer would be 7

Step-by-step explanation:

The equivalent value of the logarithmic equation is x = 7/3

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

A = log ( 14/3 ) + log ( 11/5 ) - log ( 22/5 )

On simplifying , we get

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

So , A = log (14/3) + log (11/5) - log (22/5) = log [(14/3) × (11/5) / (22/5)]

A = log [(14/3) × (11/5) × (5/22)]

A = log ( 14/3 /2 )

A = log ( 7/3 )

Hence , the logarithmic equation is solved

To learn more about logarithm click :

https://brainly.com/question/12049968

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