Which expression represents the product of a³ + 2x - 1 and 4 - x³ + 3? ​

Answer: A=-2

Step-by-step explanation:

AB=11

B=9

B-11=A

9-11=A

A=-2

Answer: False

Step-by-step explanation:

The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;

1. y = 15•x + 100

2. The slope is first calculated, then the equation is expressed in the point and slope form

3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.

3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership

1. Points on the graph are; (0, 100) and (20, 400)

The slope, m, is therefore;

m = (400 - 100)/(20 - 0) = 15

The equation in slope and intercept form is therefore;

y - 100 = 15•(x - 0) = 15•x

2. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.

The slope and intercept form is obtained from the point and slope form by making y the subject

3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15

3b. The labels for the x and y axis based on the above situation are;

Learn more about slope and intercept form of linear equations here;

https://brainly.com/question/25826868

#SPJ1

The result of the expression given as 2/3+3/5 is: 19/15

To solve this exercise we have to perform a mathematical operation of division with fractions:

2/3+3/5

We apply the least common multiple of the denominators and we get:

Least common multiple of denominators: 3*5  = 15

[(15/3)*2 + (15/5)*3] / 15

[(5*2) + (3*3)]  / 15

(10 + 9) /  15

19/15

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

Learn more about fraction at: brainly.com/question/11562149

#SPJ4

y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

Learn more about graphs here-

https://brainly.com/question/19040584

#SPJ9

Your question was incomplete. Check for full content below-

Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

Answer: i have same question somehelp

Step-by-step explanation:

Answer: 2 1/2 hours

Step-by-step explanation: 45/18 = 2 1/2

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

Answer:

The multiple of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+ 45+48+51+54+57+60+63

=690

Answer:

mass of 1 mole 2^5/4=2^5/2a=c=0g

Step-by-step explanation:

Answer:

350p2+19500p-199000

(The first term is actually -350p² but I guess you have to write it as -350p2)

Step-by-step explanation:

Looks like that first term in the revenue equation is -350p²

We have
E = -1500p + 199000
R = -350p² + 18000p

Profit = Revenue - Expenses = R - P

Profit = -350p² + 18000p - (-1500p + 199000)

= 350p² + 18000p + 1500p - 199000

= 350p² + 19500p - 199000

Answer:

60

Step-by-step explanation:

rid of precentage and zeros, multiply the numbers you have left.

Problem 14

Reason: The coefficients are numbers to the left of the variables

======================================================

Problem 15

Reason: The degree is the largest exponent.

======================================================

Problem 16

Reason: The term without any variables attached is the constant.

======================================================

Problem 17

Reason: The four terms are 11x, 9x^3, -8y, and 5

=======================================================

Problem 18

Reason: Write the terms with the largest exponent first. Then have the exponents count down.

The test statistic value calculated by the statistical procedure selected is known as the obtained value.

The obtained value is the test statistic value derived using the specified statistical procedure.

An outcome of a statistical test of a hypothesis is a test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.

The p-value of these results, which is needed to decide whether to reject your null hypothesis, is calculated using the test statistic.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the obtained value.

Learn more about the statistical procedure here:

https://brainly.com/question/28486320

#SPJ4

Answer:

2.7 miles

Step-by-step explanation:

0.5 + 1.3 + 0.9 = 2.7

The numbers have absolute values that differ by 1, and the number with the larger absolute value is positive.

The number of books taken by each student is 6.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.

The average is calculated by dividing the sum of the total number of items by the total counts of the items.

Average = 14400 / 2400

Average = 6

Therefore, the number of books taken by each student is 6.

To know more about an average follow

https://brainly.com/question/20118982

#SPJ4

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

Read more about scientific notation at

https://brainly.com/question/5756316

#SPJ1

Answer:

c 1.36 x 1012

explanation:

Answer:144

Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total.  360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144

Answer:

1 5/6

Step-by-step explanation:

Answer:3/16

Step-by-step explanation:

Simplify 6/32 in Lowest Terms

6/32 = (?)

6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)

= 3/16

6/32 = 3/16

Since they're in arithmetic progression, there is a constant difference between consecutive terms of

[tex](7x - 7) - (x - 1) = 6x - 6[/tex]

Recursively, the sequence is given by

[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]

By substitution, we have

[tex]a_2 = a_1 + 6x-6[/tex]

[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]

[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]

and so on, up to the 14th term

[tex]a_{14} = a_1 + 13(6x-6)[/tex]

[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]

[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]

The area of parallelogram ABCD is found to be 2√3 square units.

A quadrilateral is known as a parallelogram in geometry. The opposite sides of a parallelogram are parallel & equal in length. Rhombus, rectangle, & square are a few examples of parallelograms.

We know that diagonal of such a parallelogram divides it into two equal triangles.

So, parallelogram area,

ABCD = 2× area of ΔABC (equation 1)

The area pf the triangle is found through the vertices are (x₁,y₁), (x₂,y₂), (x₃,y₃) is;

Area = (1/2)×[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

The vertices of the triangles are given as;

A(2,4), B(2+ √3 ,5) and C(2,6)

Area = (1/2)×[2(5−6) + (2+√3)(6−4) + 2(4−5)]

Area = (1/2)×[−2+2(2+ √3)−2]

Area = √3

When we plug this value into equation (1),

Parallelogram area,

ABCD = 2×the area of ABC

ABCD = 2×√3

ABCD = 2√3

Thus, the area of the parallelogram ABCD id estimated as 2√3 square units.

To now more about the parallelogram, here

https://brainly.com/question/20526916

#SPJ4

The correct question is -

Find the area of a parallelogram ABCD if three of its vertices are A(2,4), B(2+ √3 ,5) and C(2,6)

The obtained two numbers by substitution method are 5 and 12.

The algebraic method for solving simultaneous linear equations is the substitution method.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

To know more about the substitution method, here

https://brainly.com/question/22340165

#SPJ4

The expression that  is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.

power in mathematics can be described as the  the  expression  which help to give the representation of repeated multiplication  by the use of same factor.

We can  open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]

Therefore, the second option is correct because they are the option that correct with the description in the question.

Learn more about power series on:

https://brainly.com/question/17256781

#SPJ1

The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.

It is to be noted that

m∠GFH = m∠EFH

m∠EFH = 71°

m∠EFG = m∠GFH + mEFH

Hence,

m∠EFG = 71 + 71

= 142°

Learn more about measuring angles:
https://brainly.com/question/25716982
#SPJ1