What does x equal to??

Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]

Equation given,

Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]

Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]

Adding Eq 1 + Eq 2,

[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]

[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]

[tex]9x^{3}+ x^{2}-6x+5[/tex]

Hence, the answer.

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Answer:

(2,1)

Step-by-step explanation:

The x-value stays the same since we are only moving up/down and the y-value becomes the opposite

(x,y)--> (x,-y)

So the point becomes (2,1)

Answer:

(2,-1) hope this helps you understand

The amount of wire that can be bought from 21 cents is 7 inches.

It is given in the question that 12 inches of wire costs 36 cents.

We have to find the amount of wire that can be bought from 21 cents.

We will use the unitary method to solve this question.

Amount of wire that can be bought from 1 cent = 12/36 = 1/3 inches

Hence, according to the data given in the question, we can write,

The amount of wire that can be bought from 21 cents = (1/3)*21 = 7 inches.

Unitary method

The unitary method is a mathematical problem-solving technique where the value of a single unit is found out from the value of multiple units prior to finding the necessary result.

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The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

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The length, breadth and height will be 78 cm, 78cm, 78cm each.

let consider the length = l

breadth = b

height = h

we are provided that

l + b + h = 234cm .......(1)

Also we have to maximize the volume , provided length is equal to breadth

∴ eqn (1) becomes

2b + h = 234

h = 234 - 2b

also ,

volume(v) = lbh

v = b²(234 - 2b)

v = b²234 - 2b³

now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )

i.e. d( v)/db = 0

∴  468b - 6b² = 0

 6b² - 468b = 0

6b( b - 78 ) = 0

∴  b = 78 cm

now as length = breadth

l = b = 78 cm

also putting this value in eqn (1)

h = 234 - 2b

h =  78 cm

So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .

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The vertex is at (8, -2).The point (10, -22) is also on the parabola.

Step-by-step explanation:

Here is the graph of the function:

The vertex is at (8, -2).

To plot another point on the parabola, we can choose any x-value and plug it into the equation to solve for y.

For example, if we choose x = 10, then we have:

f(x)   = -5(x - 8)² - 2

f(10) = -5(10 - 8)² - 2

f(10) = -5(2)² - 2

f(10) = -5(4) - 2

f(10) = -20 - 2

f(10) = -22

So, the point (10, -22) is also on the parabola.

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The value for p is 30.

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The Excel formula that Bill would use is PMT.

From Bill's situation, he has the following information:

time = NPER = number of periods = 18 years

RATE of the bank

FV = future value = cost of tuition

PMT, is a financial function, computes the loan payment based on constant payments and a constant interest rate. The Excel PMT function is a financial function that computes loan payments based on a fixed interest rate, the number of periods, and the loan amount. The function's name is derived from the acronym "PMT," which stands for "payment."

In conclusion, the correct option is PMT.

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Complete question

Bill wants to save for his son’s college expenses. He knows what tuition will cost in 18 years and knows the interest rate on the bank account. What he doesn’t know is how much to deposit each month to save enough for his son’s college expenses. Which Excel formula would you use? Choose from FV, PV, PMT, NPER, or RATE.

Answer:

y = [tex]\frac{1}{5}[/tex] x - 5

Step-by-step explanation:

y = mx +b  You have to find the slope and the y intercept

slope:

I used the two points on the graph (0,-5) and (5,-4)  The slope is the change in y over the change in x.  An ordered pair is given in the form (x,y)

[tex]\frac{- 4 - - 5}{5-0}[/tex] = [tex]\frac{-4 + 5}5}[/tex] = [tex]\frac{1}{5}[/tex]

or you could just look at the two points.  If you start at (0,-5) and go straight up one and the then go right 5 spaces, you will be at the point (5,-4) [tex]\frac{1}{5}[/tex]

The y intercept for the b is where the line crosses the x axis.  It crosses at the point (0,-5)  The -5 is the b part.

Student B has raised the least amount of money after walking for 7 miles.

A unit rate means a rate for one of something.

Given that, three students are participating in a walkathon,

Student A's money is represented by the equation y = 13x, where y is money raised for walking x miles.

Student B raised $36 money for 3 miles and Student C has raised  $52 and $65 money for 4 and 5 miles respectively.

Money raised by each of them for a mile =

Student A = $13

Student B = $12

Student C = $13

Money raised by them by walking 7 miles =

Student A = $13*7 = $91

Student B = $12*7 = $84

Student C = $13*7 = $91

Hence, Student B has raised the least amount of money after walking for 7 miles.

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With the help of equations we can say that function has a f(x) = x,straight line.

What is an equation?

acc to our question-

f(x) = Ixl

f(x) = x

f(x)=x²

Hence, function f(x) = x is a line.

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The expression equates to R = 926.19

An equation is a relation equating two mathematical expressions. For example -

2x + 4 = 5x + 7

We have -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

We have the following equation -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

R = 21000([0.013/(1.013)²⁰ - 1)

R = 21000([0.013/(1.29475890663 - 1)]

R = 21000(0.0441038411650727)

R = 926.1806644665257

R = 926.19

Therefore, the expression equates to R = 926.19

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Sam's average score based on the six quizzes is 78%.

The average is the mean, a central tendency value.

We compute the mean by summing the values of a data set and dividing by the number of items in the collection.

In this situation, the average of 5 quizzes multiplied by 5 gives the total score in the 5 quizzes, which resulted in the average score.

This total is added to the score in the sixth quiz to get the total score for the six examinations before dividing the sum by 6, giving the overall average.

The average score in 5 quizzes = 74%

Total score in the 5 quizzes = 370% (74 x 5)

The score on the sixth quiz = 99%

Total score in six quizzes = 469% (370 + 99)

The average score in the 6 quizzes = 78.167% (469/6)

= 78%

Thus, Sam scored an average of 78% on the six tests.

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Answer: ___________________________________________

58/15

The largest change in momentum will happen when the velocity and mass of the object are doubled( option A)

The momentum of a body is the product of the mass of the body and it's velocity. Momentum is measured in kg/ms^-1. It is a vector quantity. it is represented by p

Momentum of a body is expressed as p= m× v

where m is the mass of the body and v is it's velocity. This means that the higher the mass and velocity of the body the higher it's momentum.

The initial momentum of the body of mass 850kg and velocity 10ms^-1 = 850kgms^-1

When the velocity and mass are doubled , then the new momentum will be 1700× 20= 34000kgms^-1

Therefore the largest change in momentum will be obtained when both mass and velocity are doubled.

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Answer:

6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation:

That's the equation for photosynthesis. let me know if you have any questions.

He rented the pressure washer for 4 hours, given that the total bill was $86.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = total number of hours he rented the pressure washer

The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.

Hence, the equation will be 50 + 9x = 86.

Solve for x.

50 + 9x = 86

9x = 86 - 50

9x = 36

x = 4

total number of hours he rented the pressure washer = 4

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Answer:

$11.96

Step-by-step explanation:

Now we have to,

→ find 23 percent of $52.

Let's solve the problem,

→ 23% of $52

→ (52/100) × 23

→ 0.52 × 23

→ $11.96

Hence, answer is $11.96.

The slopes 0/3 and 9/0 are not perpendicular .

In the question  ,

the two slopes are given ,

the value of slope 1 (m₁) = 0/3

the value of slope2 (m₂) = 9/0 .

We know that the two slopes m₁ and m₂ are perpendicular is

m₁ × m₂ = -1 .

So , for the given values ,

On substituting the values of m₁ and m₂ ,

we get ,

= (0/3) × (9/0) ≠ -1

Since the product of the two given slope is not equal to -1 .

the slopes are not perpendicular .

Therefore , The slopes 0/3 and 9/0 are not perpendicular .

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An equation relating x and y is given by y = 3x/4 - 11/2.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For the slope of this line using point AB, we have:

Slope of AB = (2 - (-1))/10 - 6)

Slope of AB = (2 + 1)/4

Slope of AB = 3/4

Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:

3/4 = (y + 4)/(x - 2)

3(x - 2) = 4(y + 4)

3x - 6 = 4y + 16

4y = 3x - 6 - 16

4y = 3x - 22

y = 3x/4 - 22/4

y = 3x/4 - 11/2

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Answer: show us the graph

Step-by-step explanation:

The slope-intercept form of the equation of the line is y = 2/3(x) - 4

Given that: the unknown line passes through (0, -4) and it is perpendicular to  y= -3/2(x) + 1

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ × m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be  m₂

Line1(given):

y = -3/2(x) + 1   and m₁ = -3/2

m₁ × m₂ = -1

-3/2 × m₂= -1

m₂ = 2/3

Line 2(unknown) with the point ​(0, -4​):

y = mx + c     (x = 0 and y = -4)

-4 = 3/2(0) + c

c = -4

y = 2/3(x) - 4

Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4

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The window width in the blueprint is 1.5 in.

As per the given question-

A window in the room measures 2. 5 feet in width.

The given scale is-

Blue print (inches) : original (feet)

3 in : 5 ft

Divide both side by 2

1.5 in : 2.5 ft

Window's width in Blue print (inches) = 1.5 in.

As a result, the window width in the blueprint is 1.5 in.

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Answer:  30 in.

Step-by-step explanation:

So when you look at the right triangle closely, you can see that the c is the same length as the 30 in. That's why I think it is 30 in. (May be wrong)

The table of solutions for the given equation (y = -2x²) include the following:

x                    y_

-2                  -8

-1                   -2

0                   -0

1                    -2

2                   -8

Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.

In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;

At x = -2, the value of point y is as follows:

y = -2x²

y = -2(-2)²

y = -2 × 4

y = -8

At x = -1, the value of point y is as follows:

y = -2x²

y = -2(-1)²

y = -2 × 1

y = -2

At x = 0, the value of point y is as follows:

y = -2x²

y = -2(0)²

y = -2 × 0

y = 0

At x = 1, the value of point y is as follows:

y = -2x²

y = -2(1)²

y = -2 × 1

y = -2

At x = 2, the value of point y is as follows:

y = -2x²

y = -2(2)²

y = -2 × 4

y = -8

In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.

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