50 pts help! Function g is transformation of function f. What is the equation of function g?

Step-by-step explanation:

5(x-6)=8

5x - 30 = 8

5x = 8 + 30

5x = 38

X = 38/5

X = 7.6

The value of x is 7.6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5 (x - 6) = 8

Solve for x.

5x - 30 = 8

5x = 8 + 30

5x = 38

x = 38/5

x = 7.6

Thus,

x is 7.6.

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Answer:

Answers below!

Step-by-step explanation:

7m = 7000mm

3.4cm = 34mm

78cm = 780mm

0.46m = 460mm

Answer:

(2×10⁴)+(7×10⁵)-(6×10³)= 714000

Answer:

15

Step-by-step explanation:

Difference in distances = 75-60 = 15 miles

So Car A travels 15 miles more than Car A in an hour

Answered by Gauthmath

Answer:

500,000

Step-by-step explanation:

2 · 10^15 = 2,000,000,000,000,000

4 · 10^9 = 4,000,000,000

2,000,000,000,000,000 divided by 4,000,000,000 = 500,000

Tip: When you're multiplying 10 to the power of any number, you can just add that amount of zeros to 1.

Example: 10^7

Answer: 10,000,000

There are seven zeros.

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Answer:

g = A/s

Step-by-step explanation:

If A = gs, then to get g all by itself, divide both sides by s

A/s = g

This is the same as

g = A/s

Answer:

q=36

Step-by-step explanation:

Equation: 3q+q+q=180

180 degress in a triangle. Solve the equation and you end up with q=36

Boom.

I think it is (0,-1)

Andre needs average 6 cups of yellow paint if he uses 8 cups of blue paint to make the same shade of green. Andre needs 10 cups of blue paint if she uses 15 cups of yellow paint to make the same shade of green.

To make the same shade of green, the amount of yellow and blue paint needed is determined by their respective ratios. If Andre is using 8 cups of blue paint, he will need 6 cups of yellow paint for the same shade of green. This is because the ratio of blue to yellow paint is 8:6, or 1.3333:1. This means that for everyis needed. When using 15 cups of yellow paint, the amount of blue paint needed to make the same shade of green is 10 cups. This is because the ratio of yellow to blue paint is 15:10, or 1.5:1. This means that for every 1.5 cups of yellow paint, 1 cup of blue paint is needed. Therefore, if Andre wants to achieve the same shade of green, he will need 6 cups of yellow paint if he uses 8 cups of blue paint, and 10 cups of blue paint if he uses 15 cups of yellow paint.

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Answer:

2 * A^(3/2).

Step-by-step explanation:

Given that planet y is twice the mean distance from the sun as planet x, we can denote the mean distance of planet x as "A" and the mean distance of planet y as "2A".

The equation T^2 = A^3 represents the relationship between the orbital period (T) and the mean distance from the sun (A) for a planet.

Let's compare the orbital periods of planet x and planet y using the equation:

For planet x:

T_x^2 = A^3

For planet y:

T_y^2 = (2A)^3 = 8A^3

To find the factor by which the orbital period is increased from planet x to planet y, we can take the square root of both sides of the equation for planet y:

T_y = √(8A^3)

Simplifying the square root:

T_y = √(2^3 * A^3)

= √(2^3) * √(A^3)

= 2 * A^(3/2)

Now, we can express the ratio of the orbital periods as:

T_y / T_x = (2 * A^(3/2)) / T_x

As we can see, the orbital period of planet y is increased by a factor of 2 * A^(3/2) compared to the orbital period of planet x.

Therefore, the factor by which the orbital period is increased from planet x to planet y depends on the value of A (the mean distance from the sun of planet x), specifically, it is 2 * A^(3/2).

Answer:

The value of the car after one year is $1000

Step-by-step explanation:

$5000 * 0.2 = 1000.

You can say the 20% = 0.2.

So it is depreciated by 0.2.

You multiply the number (5000) by 0.2

5000 * 0.2 = 1000.

Answer:

The answer is 1,000

Step-by-step explanation:

because 20% of 5000 is the answer which is 1,000

Answer:

and "Bumps"

Purplemath

Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.

I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".

For instance, the following graph has three bumps, as indicated by the arrows:

y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0

Answer: A

Step-by-step explanation:

The expressions are equivalent by the distributive property.

Looks like you're given

x cos(y/x) (y dx + x dy) = y sin(y/x) (x dy - y dx)

Like with your other equation, multiply by 1/x² on both sides:

cos(y/x) (y/x dx + dy) = y/x sin(y/x) (dy - y/x dx)

Then substitute z = y/x again, so y = xz and dy = x dz + z dx. You end up with a separable equation.

cos(z) (z dx + x dz + z dx) = z sin(z) (x dz + z dx - z dx)

cos(z) (2z dx + x dz) = xz sin(z) dz

2z cos(z) dx = x (z sin(z) - cos(z)) dz

(z sin(z) - cos(z)) / (z cos(z)) dz = 2/x dx

(tan(z) - 1/z) dz = 2/x dx

Integrate both sides:

∫(tan(z) - 1/z) dz = ∫ 2/x dx

-ln|cos(z)| - ln|z| = 2 ln|x| + C

ln|cos(z)| + ln|z| = -2 ln|x| + C

ln|z cos(z)| = ln(1/x²) + C

z cos(z) = C/x²

Solve in terms of y :

(y/x) cos(y/x) = C/x²

y cos(y/x) = C/x

Answer:

16.7%

Step-by-step explanation:

84 - 70 = 14

14 divided by 84, times 100 = 16.7%

So, it increase by 16.7%

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:

.25 = p ,

Solution :

equivalent to 10+ 4(-8q - 4)

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at

examples of equivalent equations

Equivalent equations are algebraic equations that have identical solutions or roots.

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

The first step is to know the rules of equivalent equations:

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Raising both sides of the equation to the same odd power or taking the same odd root will produce an equivalent equation.

If both sides of an equation are non-negative, raising both sides of an equation to the same even power or taking the same even root will give an equivalent equation.

Solution :

10+ 4(-8q - 4)=0

10+ 4(-8q ) = 4

10-24 p =4

10 -4 =24 p

6 =24 p

6/24 = p

1/4 = p

.25 = p

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Ok I can help you with graphing

Answer:

y = negative 6 (x minus one-fourth) squared + nineteen-eighths/ C on edg

Step-by-step explanation:

Answer:

C. y = -6 (x-1/4 )^2 +19/18

Step-by-step explanation: right on edge

The Solution:

Given:

Required:

Simplify the given expression.

Step 1:

Answer:

Answer:7938 inches square

Step-by-step explanation:

multiply everything

Answer:

7938

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

18 - 3 = 15

The probability that of 300 randomly selected students enrolled in the course, more than 75 of them will earn is 0.9998..

We have given that,

A data of students in a math course offered at northern university will earn .

Total number of randomly selected students enrolled in the course = 300

i.e total number of trials, n = 300

probability of success, p = 35% = 0.35

probability of failure, q = 1-0.35 = 0.65

np = 300× 0.35 =

n(1-p) = 300×0.65 =

both np and n(1-p) are greater than 10 , so we can use normal approximation here.

We have to calculate probability that more than 75 of them will earn an , P(X>75). Using Binomial Probability distribution, X~ Bin(300, 0.35)

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Now, P(X>75) = 1 - P(X=<75)

but here data is large, that is n= 300, x = 75 so tough to calculate it by hands , thus we use Excel function to find out the required probability. Excel Command: =BINOM.DIST(number_s,trials,probability_s,cumulative)

where, Number_s (required argument) -->the number of successes in trials,i.e "x" Trials (required argument) --> the number of independent trials i.e , "n" must 0≤ n. Probability_s (required argument) --> the probability of success in each trial.

Cumulative (required argument)-->A logical value that determines the form of the function. It can either be: TRUE--> Uses the cumulative distribution function and FALSE--> Uses the probability mass function. Now, for P(X ≤ 75) , the function is look like as

=BINOM.DIST(75,300, 0.35, TRUE) =0.000126081

=BINOM.DIST(75,300, 0.35, FALSE)

= 5.0305E-05

Now, the required probability, P(X> 75)

= 1 - P(X ≤75)

= 1 - 5.03095E-05 = 0.999949691

or using cumulative distribution function,

P(X>75) = 0.999873919

both are give approx. same results

.So, required probability is 0.9998.

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Due to excise taxation, one needs to pay 12 cents per gallon of gasoline; therefore, in the case of 14 gallons,

The 'L' shape is reflected over the y axis is shown by figure B.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

As, we have to reflect the image over the y axis.

That means that the image gets flipped across the y-axis.

So, the rule reflect over y axis is  (x, y) -> (-x, y).

Then, among all the option the figure that satisfies the rule is Figure B.

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Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000