Write the percent as a fraction.70%

first process is used in this expression

Answer:

(x - 2)/3

(x - 4)/-5 or (-x + 4)/5

Step-by-step explanation:

this is an inverse function, and to solve an inverse function you would :

swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it

the first question's answer is :

g(x) = 3x + 2

x = 3(g(x)) + 2

x - 2 = 3(g(x))

(x - 2)/3 = g(x)

the second one is:

g(x) = 4 - 5x

x = 4 - 5(g(x))

x - 4 = -5(g(x))

(x-4)/-5 = g(x)

g(x) = 3x + 2

y = 3x + 2

x = 3y + 2

3y = x - 2

y = x/3 - 2/3

inverse g(x) = (x - 2) / 3

g(x) = 4 - 5x

y = 4 - 5x

x = 4 - 5y

5y = 4 - x

y = 4/5 - x/5

inverse g(x) = (4 - x) / 5

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Explanation:

To go from the first term to the second term, we add on some common difference d.

So,

B = A+d

B = (k+2)+d

4k-6 = k+2+d

4k-6-k-2 = d

d = 3k-8

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

Similarly, to go from the second term to the third term, we also add on d

C = B+d

C = (4k-6)+d

C = (4k-6)+(3k-8)

C = 7k-14

3k-2 = 7k-14

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

Let's solve for k

3k-2 = 7k-14

-2+14 = 7k-3k

12 = 4k

4k = 12

k = 12/4

k = 3  is the final answer

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

If k = 3, then we have these three terms:

The arithmetic progression (AP) is 5, 6, 7. The common difference is d = 1.

Note how d = 3k-8 = 3(3)-8 = 1

Answer: D. The total cost of a 3-day rental assuming the car is not driven over the allowance

Step-by-step explanation:

Trust me? <3

Answer: y = 0.794*x + 4.588

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case the points are:

(-2, 3) and the intersection of the lines:

x + 2y = 0

2x - y - 12  = 0

To find the intersection of those lines, we can first isolate one variable in one side of each equality, i will isolate the variable y.

y = -x/2

y = 2x - 12

Now we can write:

-x/2 = 2x - 12

Solving this we can find the value of x at which both lines intersect.

2x + x/2 = 12

(5/2)*x = 12

x = 12*(2/5) = 4.8

Now we evaluate one of the lines in that point and get:

y = -4.8/2 = -2.4

Then these lines intersect at the point (4.8, -2.4)

Now we can find the slope of our equation.

a = (-2.4 - 3)/(4.8 - (-2)) = 0.794

then we have:

y = 0.794*x + b

And we know that when x = -2, y = 3

then:

3 = 0.794*-2 + b

3 + 1.588 = b = 4.588

Then the equation is:

y = 0.794*x + 4.588

Answer:

y=(-27/34)x+1.412

Step-by-step explanation:

Building of  facundo3141592's answer, the beginning part is correct. The point of intersection between the two lines is (4.8, -2.4)

He got the slope part right, but the answer isn't 0.794, its -27/34. (he forgot the negative) The y intercept is totally wrong. The y-intercept is 1.412 So the answer is y=(-27/34)x+1.412

I hope this helps!

Graph this equation on Desmos and you will see that it first all the criteria

Answer:

The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)

This fraction can be reduced so your answer is 3/2

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

Read more on surface area of a rectangular prism here: brainly.com/question/28185251

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Answer:

43.98

Step-by-step explanation:

Answer:2

Step-by-step explanation:{[(30-60) ÷ (-30)1²-15} = (-7)=2

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

Recall that the diagonals of a rhombus are perpendicular bisectors of each other, therefore all the right triangles formed by the diagonals as shown in the given diagram are congruent, therefore:

Solving the last equation for angle 1 we get:

Answer:

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Step-by-step explanation:

\( \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )\)

\( \\ = \frac{ - 3}{4} \times \frac{25}{6} \)

\( \\ = \frac{ - 25}{8} \)

\( \\ = - 3.125\)

\( \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )\)

\( \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} \)

\( \\ = \frac{713}{32} \)

\( \\ = 22.28125\)

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

To learn more about concavity link is here

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SOLUTION

The given data set is

The mean of the data is

The standard deviation is calculated using

Substituting the data gives

Therefore the standard deviation is 8.333

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

The slope - intercept form of the equation that relates the number of people and the cost of entering the museum is y = 8x + 4

The slope - intercept form is:

y = mx + b

Where:

m = slope or the cost per person

b = y - intercept or the residual cost

The cost per person to enter the museum is:

= Difference between cost of three people and two people

= 28 - 20

= $ 8

The residual is:

= Total cost for two people - Cost of two people

= 20 - ( 8 x 2 )

= $ 4

The slope intercept form of the relationship between the number of people and the cost of entering the museum is therefore:

y = 8x + 4

Find out more on slope - intercept form at https://brainly.com/question/5474405

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Answer:

Hope it helps bhhhhbbbbbbhb

Answer:

rational

Step-by-step explanation:

because of the dec

The solution is,  the answer would be , the slope of the red line is: -1/11.

Here, we have,

The lines shown below are parallel. If the green line has a slope of -1/11.

the reason being the slope of the green is a negative slope

because it is going down ward not upwards therefore it is negative

and because the the lines are parallel they are equal

First we have to understand the relationship between the slopes of parallel lines .

Slopes of parallel lines are equal .

So the slope of green line and red lie must be equal.

so the slope of both lines are -1/11.

Hence, The solution is,  the answer would be , the slope of the red line is: -1/11.

To learn more on slope click:

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Step-by-step explanation:

1-(1/5+1/3+1/6)

1-(6/30+10/30+5/30)

1-21/30

=9/30

Answer:

3/10 part of his salary he saved

Since we have given that

Fraction of his salary spend on rent = 1/5

Fraction of his salary spend on food = 1/3

Fraction of his salary spend on clothes = 1/6

Total part of fraction of his salary spent is given by

1/5+1/3+1/6

=6+10+5

    30

=21/30

=7/10

So,Fraction of his salary he saved is given by

1 - 7/10

=10-7

  10

=3/10

Hence,3/10 part of his salary he saved.

I HOPE THIS HELPS!

In the 24-hour clock system, midnight is written as _0h_

Answer:

00:00

Step-by-step explanation:

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer: Steep. Its 50% steep.

Answer:

x = 10

Step-by-step explanation:

if BC and DE are parallel then the sides of the triangle are divided proportionally, that is

\(\frac{CE}{AE}\) = \(\frac{BD}{AD}\) ( substitute values )

\(\frac{x-2}{16}\) = \(\frac{x-3}{14}\) ( cross- multiply )

16(x - 3) = 14(x - 2) ← distribute parenthesis

16x - 48 = 14x - 28 ( subtract 14x from both sides )

2x - 48 = - 28 ( add 48 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

then for BC and DE to be parallel, x has the value x = 10

Answer:

Sabrina purchased  6  $ 12  CDs.

Step-by-step explanation: