Write an equation that represents the line

The value of 'f' when 'g' is 16 is 24.

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

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Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

She receives $16 when she pays for the calculator with a $100 bill

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A calculator which is marked at $120 is sold for cash at a 30% discount.

So, It was sold for 70% of its mark value assuming that to x.

∴ (70/100)×120 = x.

x = $84.

So, Susan will receive $(100 - 84) = $16.

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Answer:

please transalate

porfavor transalate

Step-by-step explanation:

Answer:

f(x) - g(x) = x - 3

Step-by-step explanation:

f(x) - g(x)    starting with the basic equation

2x - (x + 3)    implementing the values into equation

x - 3       subtracting x and 3 from 2x making 2x into 1x (or just x) and making a       negative 3

Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.

The function that represented the relationship between the time in days and the number of views is given by:

[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]

We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.

[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]

[tex]\ln{v} = 0.89 + 3.15[/tex]

[tex]\ln{v} = 4.04[/tex]

[tex]e^{\ln{v}} = e^{4.04}[/tex]

[tex]v = 57[/tex]

57 views.

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Check the picture below.

Answer:

When x = -1, f(x) = 2

Step-by-step explanation:

f(x) = (1/2)^x

When x = -4

f(x) = (1/2)^x

f(x) = (1/2)^-4

= 1 ÷ (1/2)^⁴

= 1 ÷ 1^⁴/2^⁴

= 1 ÷ 1/16

= 1 × 16/1

= 16

When x = -1

f(x) = (1/2)^x

= (1/2)^-1

= 1 ÷ 1/2^1

= 1 ÷ 1/2

= 1 × 2/1

= 1 × 2

= 2

When x = -1, f(x) = 2

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Answer:

2

Step-by-step explanation:

Answer:

it is a Equilateral triangle

Answer:

4

Step-by-step explanation:

1 change in x and 4 change in y from 1,0 to 0,4 or 4/1

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

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complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

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

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

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

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Answer:

A. 4.5

Step-by-step explanation:

You can find the center value (median) either by crossing off a box from the lower number end and one off the higher number end until you find the middle value, or by writing them out and doing the same.

2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10

Since there are 20 numbers, there are two center numbers, 4 and 5. So we take the average of them, which is 4.5

Answer:

the answer is blurry for me take a picture again

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because 3x10=30 and 31 is greater than 30 by 1 more.

It's not. 3 times 10 is 30.

30<31

Answer:

A

Step-by-step explanation:

Hope this helped!

Answer:

i am pretty sure its B

Step-by-step explanation:

The A’ is your reflected shape. The red line is y=-1, or your line  right reflection.  To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

Answer:

A = 2π in2

Step-by-step explanation:

See the image I have shared

D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅

Step-by-step explanation:

[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

b) tan 26° = 18/x

Step-by-step explanation:

tan is opposite/adjacent

Answer:

Answer B

Step-by-step explanation:

You have the angle, the opposite and are looking for the adjacent

The only solutions is using tan

tan = opposite / adjacent

Answer:

44ft

Step-by-step explanation:

12ftx6ft=72ft

72ftx2ft= 144ft

144ft-100ft=44ft

Hope this helps! :)

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

[tex]\frac{3}{2} = \frac{?}{6}[/tex]

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

Answer:

AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]

[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

D 1/25

Step-by-step explanation:

5 multiplied by the negative second power is .04, .04 times 25 equals 1.

Answer:

[tex]m = 3b+6[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3x^2 - 9[/tex]

Required

The average rate over [tex][2,b][/tex]

Average rate (m) is calculated using:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [2,b][/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

Calculate f(b) and f(2)

[tex]f(x)=3x^2 - 9[/tex]

[tex]f(b)=3b^2 - 9[/tex]

[tex]f(2)=3*2^2 - 9 = 12 - 9 = 3[/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 9 - 3}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 12}{b - 2}[/tex]

Expand the numerator

[tex]m = \frac{3b^2 + 6b-6b-12}{b - 2}[/tex]

Factorize

[tex]m = \frac{b(3b + 6)-2(3b+6)}{b - 2}[/tex]

Factor out 3b + 6

[tex]m = \frac{(b -2)(3b+6)}{b - 2}[/tex]

Cancel out b - 2

[tex]m = 3b+6[/tex]

Answer:

See explanation below

Step-by-step explanation:

Flat fee = $25

Cost per mile = $0.60

Let

C = total cost

m = number of miles travelled by the truck

The equation is

C = 25 + 0.60m

The independent variable is miles,m travelled

The dependent variable is total cost, C

$25 is the constant

Answer:

A intersection B = {12,18,24,30}

Step-by-step explanation:

A ={3,6,9,12,15,18,21,24,27,30,33,36,39}

B ={10,12,14,16,18,20,22,24,26,28,30}