Simplify (4x3+ 13x − 7) − (6x2+ 9x + 2). −2x2+ 4x − 9 −2x2+ 22x − 5 4x3− 6x2+ 4x − 9 4x3− 6x2+ 22x − 5

Answers

Answer 1

(4x³+ 13x − 7) − (6x²+ 9x + 2)
Remember that if they don't have the same exponents/bases (x²,x³, etc.), then they cannot be grouped together.

This means that 4x³ and 6x² will be left alone because there are no other x² or x³ in the expression.

So first thing you do is distribute. Don't forget about that - in front of the second parentheses.
(4x³+ 13x − 7) − (6x²+ 9x + 2)
(4x³ + 13x − 7) + (−6x² - 9x - 2)
4x³ - 6x² + (13x - 7) + (-9x - 2)
4x³ - 6x² + 4x (- 7) + (- 2)
4x³ - 6x² + 4x - 9

So the answer is:
C. 4x3− 6x2+ 4x − 9

Related Questions

That is the screen shot for questions 5.

Answers

It's choice C as the root overhead bar goes over all of (x-7) and not just the x. So you have the correct answer.

f(x) = x^4+7
y = x^4+7
x = y^4+7
y^4 = x-7
y = FourthRoot(x-7)

[tex]y = \sqrt[4]{x-7}[/tex]

The ratio of red pens to black pens is 3:2. What fraction of the pens are red

Answers

im not sure but i think 1/4

Answer:

1/4

Step-by-step explanation:

3/12 simplified is 1/4.

which of the following is a factor of 15x2-14x-8

Answers

It can be 1 1/3 or -(2/5)

26x-8 i think is it i am not sure

Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.

B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.

D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.

Answers

Which best describes the graph of the function f(x) = 4(1.5)x?

B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

Final answer:

The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.

Explanation:

The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.

Which logical form represents this statement?
Either it is not cold today or i am wearing woolen coat.
p: It is cold today.
q: I am wearing woolen coat.

~p ∧~q
~p ∧ q
~p ∨ q
~(p∨ q)

Answers

The third choice.
That's what I put for my answer.

Answer:

The correct answer is:

~p ∨ q

Step-by-step explanation:

p: It is cold today.

q: I am wearing woolen coat

~p: It is not cold today

V represents either...or...

Hence, ~p V q represents:

Either it is not cold today or i am wearing woolen coat.

Hence, the correct option is:

~p ∨ q

What is the slope of this graph?

1/4

--4

--1/4

4

Answers

Answer:

Step-by-step explanation:

the last one I think

The slope of the graph is indeed 4.

You can find the slope of a line by using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.

In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:

m = (40 - 0) / (10 - 0) = 40 / 10 = 4

Therefore, the slope of the graph is 4. So the answer is d. 4.

Which is best definition of contrapposto?
a. an active pose
b.an s-shaped pose
c. a block-shaped pose

Answers

The answer is an s shaped pose. Contrapposto is an Italian word that means counterpose. It is practiced in visual arts to depict a human figure standing with the majority of its heaviness on one foot so that its shoulders and arms curl off in an axis from the hips and legs forming a letter s.

I just finished the quiz the answer is B. an S-shaped pose

What number gives a result of -5 when 11 is subtracted from the quotient of the number and 6?

Answers

This word equation is equivalent x/6-11=-5. Simplifying this will get you x=36.

Final answer:

The answer explains how to find a number from an equation involving subtraction and division, providing step-by-step instructions.

Explanation:

To find the number that gives a result of -5 when 11 is subtracted from the quotient of the number and 6, we can create an equation:

Let the number be x.

The equation becomes: x/6 - 11 = -5

Solve for x:

Add 11 to both sides: x/6 = 6

Multiply both sides by 6: x = 36

Therefore, the number is 36.

Find the missing term of the following sequence. . . . –45, __, –12, . . .

Answers

(-45 + (-12) / 2 = -28.5
So the answer is -28.5

What is the slope of the line represented by the equation –5x+2y= 10 ?

–52

–25

25

52

Answers

solving for y gives. y = 5/2 x + 10 so this slope,. 5/2

y = 5/2 x + 10 slope: 5/2

Step-by-step explanation:

If Jeremy walks 2 miles in 74 minutes, then how far will Jeremy walk in 84 minutes?

Answers

2.27miles in 84 minutes

To find how far Jeremy will walk in 84 minutes, set up a proportion relating time and distance covered.

To find the distance he walks in 84 minutes, you can set up a proportion: 2 miles / 74 minutes = x miles / 84 minutes.

Solving for x, Jeremy will walk approximately 2.27 miles in 84 minutes. Jeremy walks at a speed of 2 miles in 74 minutes.

Find the “missing terms” in the polynomial problems. Answers will have multiple terms.

1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7

2. (2d^2 + d) - ( ) = - d^3 + 3d - 1

3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x

Answers

1. (c^3 + c^2 - 5) + (-c^3 + 2c - 2 )= c^2 + 2c - 7

2. (2d^2 + d) - (d^3 + 2d^2 - 2d + 1) = - d^3 + 3d - 1

3. ( 3x^4 + x^3 - 4x^2 + x - 3) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x

The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?

Answers

no that much 2 or 3 gallons

9 because it is constantly changing

((Use the graph shown below to fill in the blank.))

If (4, y) is an ordered pair of the function, then y = a0.

Answers

The point (4,y) has a known x coordinate of x = 4. The y coordinate is unknown right now so we'll just call it y.

Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that y = 1

Answer: y = 1

Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.

If (4, y) is an ordered pair of the function, then value of y = 1.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

(4, y) is an ordered pair of the function.

Now, The point (4, y) has a known x coordinate of x = 4.

For the value of y at x = 4,

Draw a vertical line through 4 on the x axis.

Then, The vertical line crosses the graph at the point (4, 1).

Thus, The value of y is 1.

Thus, If (4, y) is an ordered pair of the function, then value of y = 1.

Learn more about the coordinate visit:

https://brainly.com/question/20362114

#SPJ2

The temperature on a summer afternoon is 85 degrees Fahrenheit. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of degrees Fahrenheit

Answers

b.) Any temperature change is the original temperature plus the numerical value of the change. (temp + change) If it is an increase, the number will be positive. If it is a decrease, the number will be negative.

Since there is a decrease of 11, c would be replaced with -11. When you plug this into your expression (85 + c: 85 + -11), the answer to this would be 74.

The expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

The temperature on a summer afternoon is 85 degrees Fahrenheit.

Let C be the temperature in degrees

F = (9/5)C + 32

C = [5/9](F - 32)

From the data given in the question:

Any temperature change is the sum of the initial temperature and the new value.

Temperature plus changes The figure will be positive if there has been an increase. The number will be negative if there is a reduction.

Thus, the expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

#SPJ2

Bonnie filled her car’s tank. She put in 10 1/2 gallons and paid $15.26. Determine the cost of gasoline per gallon.

Answers

So, it starts off with 10 half gallons. 10*1/2 is 5, so in other words she put in 5 gallons and paid 15.26. As an equation it can be represented by 5x=15.26 where x is the cost of the gallons which is what we're trying to find. We can solve by using the division property of equality and divide both sides by 5. This gets us x=3.052. So, it costs $3.052 exactly for a gallon of gasoline.

If cos70 = 0.342, give another angle whose cosine is 0.343

Answers

The another angle whose cosine is 0.343 is -70.789 degrees.

Given that,

cos(70) = 0.342

We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.

Now

⇒ cos(x) = 0.343

⇒cos(-x) = cos(x)

= 0.343

Now, we need to find -x.

⇒ cos(-x) = 0.343

Taking inverse cosine on both sides, we get:

⇒ -x = arcos(0.343) we get,

⇒ -x = 70.789

Therefore, x = -70.789

Hence, another angle whose cosine is 0.343 is -70.789 degrees.

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ6

I'm stuck on trying to get X

Answers

They must be equal, since they are alternate interior angles, (3x-50)=(2x-5)
This will simplify to x=45.

I am assuming the two lines are parallel.

In this case, these two angles are Alternate Interior Angles, which we know are congruent.

Because they are congruent, they will be the same angle. In other words, they will equal each other.

So we can set this problem up as an equation and solve for x:

3x-50 = 2x-5
3x-50+50 = 2x -5 + 50
3x = 2x + 45
3x - 2x = 2x -2x + 45
x = 45

ANSWER:
X= 45

Now find the angles accordingly.
3(45) - 50 = 85
2(45) - 5 = 85✔️
Everything checks out.

rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2

Answers

Let us start converting!

[tex]x-2y=3 \ \textgreater \ \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides} \ \textgreater \ x-2y-x=3-x [/tex]

[tex]-2y=3-x \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-2 \ \textgreater \ \frac{-2y}{-2}=\frac{3}{-2}-\frac{x}{-2}[/tex]

[tex]\frac{-2y}{-2} \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{-b}=\frac{a}{b} \ \textgreater \ \frac{2y}{2}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \ y[/tex]

[tex]\frac{3}{-2}-\frac{x}{-2} \ \textgreater \ \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \ \frac{3-x}{-2} [/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\ \textgreater \ -\frac{-x+3}{2} \ \textgreater \ y = -\frac{3-x}{2}[/tex]

[tex]Therefore... y=\frac{1}{2}x-\frac{3}{2} (Note: m=\frac{1}{2},\:b=-\frac{3}{2}) [/tex]

M is the slope and b is the y intercept.

Hope this helps!

I need the answer for 9

Answers

The sum of the measures of the angles of a polygon of n sides is 180(n - 2).

Set that expression equal to 1800 and solve for n, the number of sides.

180(n - 2) = 1800

Divide both sides by 180

n - 2 = 10

Add 2 to both sides

n = 12

The polygon has 10 sides.

Sum of Interior Angles = (n-2) × 180°
so you can use this to find out how many sides of this polygon

(n-2) × 180° = 1800
n - 2 = 10
n = 12

this polygon has 12 sides

Determine the value of r so the line passing through each pair of points has the given slope
(6,3) (r,2), m=1/2

Answers

We can use the slope formula to solve this one:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{1}{2}=\frac{2-3}{r-6}[/tex]
[tex](r-6)=2(-1)[/tex]
[tex]r-6=-2[/tex]
[tex]r=4[/tex]

Determine f(2) where f(x)= x+1/4x-2

Answers

F(2)= (2)+1/4(2)-2
F(2)=3/6
F(2)= 1/2

There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6

Answers

Given: Say 6Q = 6 quarters in a jar 2Q is added everyday After X days, Amount of quarters = 6Q + (2Q * X) So answer would be: D) which is y = 2x + 6

Answer:

D. y = 2x + 6

Step-by-step explanation:

The amount of quarters that there´s in the jar is expressed by the letter "Y".

We know the jar had already 6 quarters.

Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.

What remains constant is that we started with 6 quarters and Jill deposits 2 more every day

Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.

Y= 2x+6

y=10x+16 looks like what on a graph

Answers

Here is my graph. Hope it helps

Determine the slope of the graph of x3 = ln(xy) at the point (1, e).

Answers

Final answer:

The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.

Explanation:

To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.

Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.

Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.

Learn more about Slope at a Given Point here:

https://brainly.com/question/10318774

#SPJ12

Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 minutes and you have 10 days left on this month's plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don't go over your monthly plan minutes?

A.)10x+330≥600

B.)10x+330>600

C.)10x+330≤600

D.)10x+330<600

Answers

The answer is C) 10x + 330 ≤ 600.
We use the ≤ since you are allowed to use the 600th minute.
When we subtract 330 from both sides, it makes a bit more sense
10x ≤ 270
270 is the number of minutes left your plan since you've already used 330, and you have 10 days left in the month.

An investment doubles in value every 9 years. What was the starting value of the investment if it is worth $4800 after 27 years.

Answers

The starting was $1600

Find the sum of each group of numbers. You may add the numbers in any order. Then, check your work by adding the numbers again in a different order. a. 110, 83, and 328 b. 92, 37, 14, and 66 c. 432, 11, 157, and 30

Answers

The sum of each group of numbers are as follows:
1. 110 + 83 + 328 = 521
2. 92 + 37 + 14 + 66 = 209
3. 432 + 11 + 157 + 30 = 630
It does not matter how much you re-arrange the numbers in each group, you will keep arriving at the same answers, this is because the sum of a particular set of numbers will always remain the same.

Answer:

1. 110 + 83 + 328 = 521

2. 92 + 37 + 14 + 66 = 209

3. 432 + 11 + 157 + 30 = 630

The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

Answers

The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.

Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8

Answers

I hope this helps you!

To change to an improper fraction, multiply the denominator by the whole number, add the numerator to what you get and write it over the denominator. That will be;
8 x 5=40
Add 3 to 40 that will be 43
So you have 43/8
The answer is 43/8
Hope that helped. Have a nice day

Other Questions

A hiker leaves her camp and walks 3.5 km in a direction of 55 south of west to the lake. After a short rest at the lake, she hikes 2.7 km in a direction of 16 east of south to the scenic overlook. What is the magnitude of the hikers resultant displacement? Round your answer to the nearest tenth. km What is the direction of the hikers resultant displacement? Round your answer to nearest whole degree. south of west Alexandra bought a $90000 life insurance policy at $10.98 for a 20 year term. She will pay ___ over 20 years for the premium The overall conclusion of the Experience Sampling Method (ESM) research with regard to middle childhood is that it is a time of remarkable? Greenhouses are used to allow plants to grow during winter months. How does a greenhouse increase the growth of plants? On a chess board, 32 of the squares are white. At the start of a game, the players cover 16 white squares of the board with pieces. In simplest form, what fraction of the white squares has chess pieces? Which question about the discovery of the earth revolving around the sun could be best answered using scientific inquiry Which will result in positive buoyancy and cause the object to float?When the force of gravity is more than the buoyant forceWhen the buoyant force is greater than the force of gravityWhen the buoyant force is equal to the force of gravityWhen the buoyant force is less than the force of gravity Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hint: convert to polar coordinates after setting up the integral) why do you think economic and social changes in the 1920s affected American literature Which type of bond is formed by two atoms that equally share one pair of electrons? Alex has 7 pizzas he wants to share equally with 10 friends. How much pizza will each friend receive? Although the ganges is the most holy river for hindus, the religion evolved around which river valley? Choose the picture that best illustrates quitar el polvo. What are the two most important stages of the scientific method? ______________ and ____________________? Randy solved the following problem: 7/8 + 9/15. He said, "I can add 7 and 9 to get 16 and add 8 and 15 to get 23. The answer is 16/23. " Is Randy correct? Explain your answer. One of the biggest taboos in Deaf society is to exclude Deaf people from conversations by forgetting to sign. This can create a feeling called second-class citizenship". True or False? A certain virus infects one in every 400 people. a test used to detect the virus in a person is positive 80% of the time if the person has the virus and 8% of the time if the person does not have the virus. Which term refers to the relative amounts of fat and lean tissue in the body? Explain the advantages and disadvantages of the japanese, koreans, and vietnamese of being part of china's tributary empire system Oakland has an elevation of 1,639 feet above sea level. Lake enriquillos elevation is 149 feet below sea level. What is the difference in altitude between the two locations? What would the difference in elevation be if the lake had formed 149 feet above sea level? Steam Workshop Downloader