I need help finding which two could be differences of perfect cubes

Let's evaluate the point into the equation in order to check if it satisfies it.

Therefore, the ordered pair is a solution to the equation

Using venn diagrams:

Therefore, the union will be given by:

Answer

Final price of the toy = $32.00

Explanation

The price of a toy is increased by 20%

The resulting price is then decreased by $40.00

Original Price = $60.00

The price of a toy is increased by 20%

Resulting price after this increase = 1.2 (60) = $72

The resulting price is then decreased by $40.00

Final Price = 72 - 40 = $32.00

Hope this Helps!!!

The Solution.

The given function is

Solving quadratically using the factorization method, we get

Hence, the zeros of the function are -7 or 8

Answer:

12/1020=

0 R 12

Step-by-step explanation:

For the first expression, we have 1.4², this can be expressed as 1.4×1.4 and then we get:

For the second expression, 300 ÷ 2(0.5 + 4.5)² we must start by solving the sum inside the parenthesis, then we get:

300 ÷ 2(0.5 + 4.5)² = 300 ÷ 2(5)²

Then, solve the exponent on the right of the division symbol:

300 ÷ 2(5)² = 300 ÷ 2×25

Now, solve the multiplication

300 ÷ 2×25 = 300 ÷ 50

Now, we can solve the division

300 ÷ 50 = 6

Then, 300 ÷ 2(0.5 + 4.5)² = 6

For the last expression, we must start with the exponent:

Now we can solve the multiplication:

In order to divide one fraction by another one we just have to keep the first fraction unchanged, change the ÷ for a × and flip the second fraction, like this:

Then, the value of the last expression is 4/3

Step 1:

Write the equation

- 3 = m - 14

Step 2: Collect similar terms

- 3 = m - 14

m = -3 + 14

m = 11

Final answer

m = 11

The probability that the sample mean would be greater than 133.5 is 0.9926

Given:

Mean = 137

Standard deviation = 8

Sample = 31

To find the probability that the sample mean would be greater than 133.5, we have:

The slope and y-intercept of a line.

The equation of a line can be expressed as:

y = mx + b

Where m is the slope and b is the y-intercept. The slope of a line that passes through the points (x1,y1) and (x2,y2) is calculated as:

The figure shows a horizontal red line. We only need two points (or ordered pairs) to calculate the slope. Let's get them from the graph: (0,-5) and (2,-5).

Calculate the slope:

The slope is 0.

The y-intercept, as shown in the equation of the line, is the value of y when x=0.

Looking at the graph, we can identify the value of y=-5 when x=0. In fact, y=-5 for any value of x.

Thus, the y-intercept as an ordered pair is (0,-5)

Draw a circle, cut into 3 equals parts and shade 1 part

In order to calculate how many answers the student did correctly, we just need to find 80% of 30, that is, the product of 80% and 30.

Knowing that 80% corresponds to 0.8, we have:

So the students answered 24 questions correctly.

Notice that all the options contain the term

Setting x=35, we obtain

Finally,

Then, the answer is

Option D is the answer, y=5x/7+5.

Notice that all the options have the same slope as that of the line y=5x/+10

ANSWER

106 3rd graders

EXPLANATION

Let the number of 2nd graders be x.

Let the number of 3rd graders be y.

We have that there are 39 fewer 2nd graders than 3rd graders. This means that:

x = y - 39

There are 67 2nd graders. This means that:

x = 67

This means that:

67 = y - 39

y = 67 + 39

y = 106

Therefore, there are 106 3rd graders.

Given:

the scatter plot is shown in the graph

We will Describe the association represented in the graph.

As shown, when drawing a line of best fit of the points, the line will be with a negative slope that will be a strong negative

So, the answer will be: strong, negative

Recall that:

Substituting f(x)=x+4 and g(x)=3x²-7 we get:

Answer: Option B.

The formula to find the percent increase of two values is:

In this case, we have:

Therefore, the percent of increase to the nearest whole-number percent is 5%.

Given:

(1985,46000)

(1997,38080)

(a)

General linear equation is:

here y represent the population and x represent time so equation is:

slope is:

So equation is:

Point (1985,46000)

So equation is:

(b)

population in 2000.

so population in 2000 is 36100.

Given that you mix 1/2 cup of oats for 1/4 cup of honey to make 12 cups of granol, we can write this as:

The solution to the given expression will be,

Okay, here we have this:

Considering the provided information, we are going to calculate the surface area of the pyramid, so we obtain the following:

Let's use the following formula to find the surface area:

Surface area=Area of the base+1/2*Perimeter of the base*Slant Height

Replacing:

Surface area=(12.2ft¨* 12.2 ft)+1/2 * (12.2 ft * 4) * 9.5ft

Surface area=148.84 ft² + 1/2 * 48.8 ft * 9.5 ft

Surface area=148.84 ft² + 231.8 ft²

Surface area=380.64 ft²

Finally we obtain that the correct answer is the first option.

To answer this question, we need to remember what the z-score is. The formula for it is as follows:

We have that:

• mu is the population mean

• x is the raw score we want to normalize or convert into a z-score

• sigma is the population standard deviation.

Then, since we have that the mean is equal to 60, the raw score, x, is equal to 47, and the standard deviation is 13, then, we have that the z-score is:

Then, the z-score is equal to -1. That is, x is one standard deviation below the population mean.

To know the percentage of a quantity, we have to divide the percentage we want to know (in this case 80%), over 100%. Then, that part has to be multiplied by that result as it is the part that corresponds to 80%.

0. Dividing 80% over 100%

2. Multiplying by the quantity

Answer: 548

Given:

To Determine: The binomial expansion of the given

Solution

Using binomial expansion formula below

hello

to solve this question, we can simply use the equation of a slope on this

now we can simply bring out our data and then proceed to input in and solve for c

from the calculations above, the answer to this question is -6 which corresponds to option c.

NB; the point at which is referred as the zero of a graph is known as the intercept. This is the point at which graph crosses the x-axis

The relations and tables that represent a function include the following:

A. {(5, 1), (2, 2), (6, 6), (3, 4), (1, 1)}.

B. x  7 3 0 5 1

   y  3 5 5 3 0

C. {(5, 1), (−5, 2), (2, 6), (6, 4), (-2, 1)}.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).

In this context, the given relation {(5, 1), (2, 2), (2, 6), (2, 4), (1, 1)} is not considered as a function because it has the same input variable (domain) that is mapped to different output variable (range) i.e (2, 2) and (2, 6).

Additionally, the given relation {3, 5, 9, 7, 7} would be classified as a set and not a function.

In conclusion, the table shown below does not represent a function because the same input variable (domain) that is mapped to different output variable (range) i.e (2, 3) and (2, 2).

x 2 3 2 5 1

y 3 8 2 5 0

Read more on function here: brainly.com/question/3632175

#SPJ1

Answer:

it´s C

Step-by-step explanation: Just took the test trust

a) see graph below

b) The coordinate of F" = (12/13, 0)

c) cos(D") = 12/13

sin(D") = 5/13

tan(D") = 5/12

Given:

A triangle on a coordinate with the units on the vertical and horizontal axis unlabeled

To find:

To label the diagram D"E"F" and determine the coordinates of F"

To label the diagram, we will use the previous diagrams and solutions.

From the information given, the new diagram is similar to the triangle DEF

For similar triangles, the ratio of their corresponding sides will be equal. Also, the corresponding angles are also equal

This means D corresponds to D", E corresponds to E" and F corresponds to F"

labeling the diagram:

b) To get the coordinates of F', we will use the similarity theorem about ratio of corresponding sides:

we have the hypotenuse = 1

the adjacent or base = not given

To get the base, we will use cosine ratio (CAH)

cos D" = adj/hyp

let the adjacent = b

cosD" = b/1

From previous solution of cos D and cos D', the result was 12/13

equating the ratio:

This means the x coordiante of E" = 12/13

Next, we will find the opposite

sin D" = opp/hyp

sinD'' = opp/1

sin D = 5/13

sin D = sin D" (similarity theorem)

The coordinates of D"E"F":

The coordinate of F" = (12/13, 0)

How: This was determined using the similarity theorem. Comparing the ratio of the corresponding sides of triangle DEF with triangle D"E"F".

cos(D") , sin(D") and tan(D") will have same value as cos (D), sin(D) and tan (D) respectively.

This is because they are similar triangles and the corresponding angles in similar triangles are equal

cos(D") = 12/13

sin(D") = 5/13

tan(D") = 5/12

Step 1

Given;

Step 2

A)

C)At breakeven, TR = TC

the number of units needed to breakeven is 521

D) To calculate the TR, we substitute 521 for n in the given function for TR as seen below:

TR = $37512

Answers;