I need help with graphing

1) We can find the inverse function, by following some steps. So let's start with swapping the variables this way:

2) Now let's isolate that x variable getting rid of that cubic root:

Note that when we isolate the y on the left we had to adjust the sign dividing it by -1, to get y, not -y.

Let:

C = Cost of the dinner

T = Tip

r = Percentage of the tip

Answer:

$13.35

Answer:

Explanation:

Here, we want to identify the correct graph and the possible combinations

Let the number of rolls of wallpaper be x and the number of cans of paints be y

The total amount needed is at most $2,800

That means:

He needs at least 20 rolls of wallpaper:

He also needs at least 30 cans of paint:

Now, we have to plot the graph of the given inequalities on the same axes

We have the image of the plot as follows:

Now, let us select the correct answer choice

The correct answer choice lies within the small triangle (where the three inequalities overlap)

All the points within the small triangle are right answers

The correct answer choice here is thus D

To determine the area of the figure given we need to divide the composite figure into figures in which we know how to find the area. We divide the figure into a triangle, a rectangle and a circle.

The area of a triangle is given by:

where b is the base and h is the height. For the triangle shown the base is 6 and its height is 6, therefore:

The area of the rectangle is given by:

where l is the length and w is the width. For this triangle the length is 9 and the width is 6 then we have:

The area of a circle is given by:

where r is the radius of the circle. The circle shown has a diameter of 6; we know that the radius is half the diameter, then the radius is 3. Plugging the radius, we have:

Now we add the areas of each figure, therefore we have:

The given equation, y = mx + b is the slope intercept form of a linear equation where

m represents slope

b represents y intercept

The slope represents the rate of change of the values of y with respect to x. The values of y in this case represents the cost of renting the car while x represents the number of days for which the car is rented. Therefore,

slope, m = $45

The y intercept is the value of y when x is zero. We can see that the initial fee is $85. This means that even if the car is rented for zero days, the initial fee of $85 must be charged, Thus, y intercept is 85

Therefore, the equation representing the cost, y, of renting the car for x days is

y = 45x + 85

ANSWER

r = 10

EXPLANATION

To solve for r first we have to put r in the numerator. To do that, we have to multiply both sides of the proportion by r:

Now, we have to multiply both sides by 35:

And finally divide both sides by 28:

Let the original price be x.

The discount is 10% of original price. So discount is,

The selling price after 10% discout is,

The selling price price is $62.96. So equation is,

So original price is 69.96.

Answer: 69.96

Required:

We need to find the area under the standard normal curve between -1.69 and 0.84

Explanation:

We need to find P(-1.69

P-value form z-table is

We know that

0.7540 is the area under the standard normal curve between -1.69 and 0.84.

Given:

Solve this equation to find the value of C,

Answer: C= -72

Using the properties of parallel line and similar triangle we calculate the length of the side DG to be 19.4 units .

In triangle ACF by using the properties of Pythagoras Theorem we can say that

AC² = FA² + CF²

Given:

AC = 10 , FA = 6

∴10² = 6² + CF²

or, CF = 8 units.

Now in triangles ΔACF and triangle ΔADG

CF is parallel to DG , therefore the two triangles are similar.

therefore we can say that using the properties of similar triangle we will use the ratio of the sides to find the given side.

AC/AD=CF/DG

or, 10/24 = 8 / DG

or, DG = 192 /10

or, DG = 19.2 units

Triangles that share the same form but differ in size are said to be similar. All equilateral triangles and squares with equal sides serve as examples of related items.

In other words, two similar triangles have similar sides that are proportionately equal and similar angles that are congruent.

Hence the length of the side is 19.2 units.

To learn more about parallel lines visit:

https://brainly.com/question/29042593

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Solution

- The formula for finding the mean of a dataset is

- The dataset given is:

108, 305, 252, 113, 191

- Thus, we can infer that:

- Now, we can proceed to find the mean of the dataset as follows:

Final Answer

The mean of the dataset is 193.8

The initial amount of money that must be spend to replace the computers is P = $280,000. The period of time expected to replace all the computers is t = 8 years = 96 months. The interest rate is r = 6%.

Then, the monthly payment A is given by the formula:

SOLUTION

We want to show if the expression -w is a polynomial or not

-w can also be written as

Since it has one term, and the power or exponent is not negative number or fraction, it is a polynomial.

Since it has one term, it is a monomial

So it is a polynomial called a monomial.

Since it has an exponent or power of 1

It is a polynomial of degree 1

The area for a trapezoid can be found through the fromula

in which B represents the major base, b the minor base and h the height of the trapezoid.

According to this the area of the trapezoid is going to be:

Answer:

Her pay​ is;

Explanation:

Given that;

She earns $12.38 per hour

and She worked 2 hours last week.

Her pay can be calculated as;

Substituting the given values;

Her pay​ is;

To simplify:

On division we get,

Hence, the simplest form is,

Area of a triangle

The area of a triangle of base length b and height h is:

We are given the area as A=22 square inches and the base length b=4 inches. We are required to find the height.

Solving for h:

Substituting:

The height is 11 inches

In the red block will be the product of 6x^2 times +8 so:

In the blue block will be the product of -8x and x^2

and in the yellow block will be the product of 2 and 3x so:

repalce t=8/9

the result is 2/3

Ok, so

We got the situation here below:

We know that the area of the garden is 690 m².

So, we got that the height (1+3x) multiplied by the width (x), should be equal to 690.

We have to solve:

If we solve this quadratic equation, we obtain two solutions.

One of both solutions is negative, so we will not use it.

The second one is positive and equals to 15. So, x=15.

Now that we know that x=15, we replace:

x, (Width) is equal to 15 meters.

1+3x (Length), is equal to 46 meters.

Therefore, these are the dimensions of the garden.

Width: 15 meters

Lenght: 46 meters.

Answer:

7/12

Step-by-step explanation:

The digital construction tool that would help determine wherer point C or point D is the midpoint of segment AB would be a Perpendicular Bisector. [Option B]

Since a bisector would divide the segment in two identical parts and the perpendicular line would mark the exact point in which the segment is being divided.

ANSWERS

1) 5,040

2) 10,000

EXPLANATION

1) If we have 10 numbers (from 0 to 9), the ID cards have 4 of them and the digits do not repeat, we have 10 numbers to choose from for the first digit, 9 numbers for the second digit, 8 numbers for the third digit, and 7 numbers for the fourth digit. So,

Hence, there are 5,040 different ID cards that can be made if no digit can be used more than once.

2) In this case, the numbers can be repeated, so for each of the four digits we have 10 options to choose from,

Hence, there are 10,000 different ID cards that can be made if digits can be repeated.

To have an understanding of the question, we need to understand what the complex conjugates theorem is.

In a simpler form, what the complex conjugate theorem is saying is that perhaps, we have a Polynomial N with a complex root x + yi, then the complex conjugate of x + yi which in this case is x -yi is also a root of the polynomial N

Applying this to the question at hand;

x = -3 and y = 1

We find the conjugate of the above by negating y( turning it to a negative number)

So its conjugate will be -3 -i

Summarily; According to the complex conjugates theorem, if -3+i is a root of a function , -3 - i is also a root of the function

The square root we need to simplify is:

We need to find an expression equivalent to 54 which includes a perfect square number (4, 16, 25, etc,...)

In this case, we note that:

We substitute this in the square root:

And we calculate the square root of 4 which is 2, and that goes outside the square root:

we left the number 13 inside the square root because the square root of 13 is not exact.

Answer:

Given:

∆ABC is an equilateral triangle, hence, all the three sides have the same length.

L, M, N are the midpoints of AC, CB, and AB. Hence, for instance, the distance between segment CM and MB are equal, by definition of midpoint.

Prove: LMNB is a rhombus.

Statement → Proof

1. ∆ABC is an equilateral triangle. → Given

2. Segment AB ≅ Segment AC ≅ Segment BC → Definition of an Equilateral Triangle

3. 1/2AB ≅ 1/2AC ≅ 1/2BC → Division Property of Equality

4. M and L are midpoints of BC and AC respectively. → Given

5. 1/2AB = Segment ML. → Midpoint Theorem

6. 1/2BC = Segment MB → Definition of Midpoint

7. Segment ML = Segment MB → Transitive Property of Equality using Statement 5 and 6

8. L and N are midpoints of AC and AB respectively. → Given

9. 1/2BC = Segment LN → Midpoint Theorem

10. 1/2AB = Segment BN → Definition of Midpoint

11. Segment LN = Segment BN → Transitive Property of Equality using Statement 9 and 10

12. Segment ML = Segment BN → Transitive Property of Equality using Statement 5 and 10

11. Segment MB = Segment LN → Transitive Property of Equality using Statement 6 and 9

13. Segment LN = Segment BN = Segment ML = Segment MB → Substitution Property of Equality using Statement 11 and 12

14. LMNB is a rhombus. → Definition of a rhombus.

One of the properties of a rhombus is that all 4 sides are equal in length.

SOLUTION

We want to solve the question with elimination method

So our paired equation becomes

To eliminate y, multiply the upper equation by 4 and the lower by 2, we have

So put x for 6 into the second equation, we have

Hence x = 6 and y = -1

The graph is shown below

Hence the point of intersection is (6, -1)

From 37g - 11g we can factorize g. It yields

Hence, the aswer is a.

Call the unknown number x.

The product of six and a number, would be written as 6x.

The product of six and a number increased by 2, would be written as 6x+2.

The equation that represent the profit is given by:

So in 3 years there are 36 months so the equation will be:

So is option A) it don't have sence because the profits are to great.