How can you simplify this expression?

How Can You Simplify This Expression?

Answers

Answer 1

Answer:

add the exponents

Step-by-step explanation:


Related Questions

I need help asap! Pls :)

Answers

Answer:

Step-by-step explanation:

6x + 10 + 2x + 26 = 180

8x + 36 = 180

8x = 144

x = 18

Which of the following can be used to represent the complement of event X?

Answers

2nd X..

I hope that this is correct

-5(x + 6) = -(5x-9)
Please give me answer!

Answers

Answer:

There is no solution to this equation.

Hope this helps :)

Answer:

no solution.

Step-by-step explanation:

carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.

Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4​

Answers

Answer:

im pretty sure it's A thx

An online survey asked a sample of high school students their favorite type of music, and the results were tabulated above. Find the probability that a person chosen at random did not choose pop music, given that the student is a sophomore or a junior.

Answers

Answer:

87/103

Step-by-step explanation:

1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).

Answers

Plotting the graph using geogebra online graphing tool and attaching.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P represent the pressure in pounds and d represent the depth in feet.

Given the equation:

P = 0.455d + 14.3

Plotting the graph using geogebra online graphing tool and attaching.

Find out more at: https://brainly.com/question/13911928

A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults

Answers

Answer:

C.24

Step-by-step explanation:

First multiply 8 by 24 this is so you know how much 24 adults would be. You will get 192 so next you need to subtract 192 from the total money 272 to get 80 and 80 should be how much all of the kids cost now to check and make sure there are 40 people divide 80 by 5 to get 16 which is the total number of kids no just add 16 and 24 together to get 40

Help I will give brainlest

Answers

8(x+18) is less than or equal to 19


A line segment has endpoints (-1, -1) and (-1, 2).
Which vertex would form a triangle that is connected to the endpoints of the line segment?
А.
(-1, 6)
B
(-1, -2)
С
(-1,0)
D
(2,-1)

Answers

Answer:

D. (2, - 1)

Step-by-step explanation:

Both the given points have x- coordinate of -1.

The first three of the answer options have same -1  as the x-coordinate, this means all three points are on the same line.

It is therefore impossible to have those as vertices of a triangle.

Correct option is D

Find the difference (6d+5) - (2-3d)

Answers

Answer:

(9d+3)

Step-by-step explanation:

(6d+5)-(2-3d)

>(6d+5)+(-2+3d)

>{(6d+3d)+(5-2)}

=(9d+3)

The ratio of girls to boys is 5:3 in a class. If there are 15 girls in the class, what is the class size? What is the unit ratio?

Answers

Answer:

Try setting up a proportion: [tex]\frac{5}{15}=\frac{3}{x}[/tex] then cross multiply to solve for x which will try you how many boys are in the class.  Then add the number of boys and girls together.

Step-by-step explanation:

HW
Due Tuesday, December 7, 2021
1. Tracy's is having a 25% off sale. Dana wants to buy a coat that has
an original price of $83. What is the sale price?

Answers

Answer:20.75 after sale

Step-by-step explanation:

25/100 of 83 is 2075

2075/100 = 20.75

Use the distributive property to multiply 4,345 x 2

Answers

Answer:

8690

Step-by-step explanation:

there is no distributive property just multiply using a regular calculator

PLS HELP ASAP ILL GIVE 5 STARS

Answers

Hey there!

(5 * 6) * 4

= 30 * 4

= 120

So you’re basically looking for something that’s equivalent to 120

CHOICE A.

5 * (5 * 6)

= 5 * 30

= 150

So, Choice A is probably NOT the answer you’re looking for!

CHOICE B.

4 * (5 * 6)

= 4 * 30

= 120

Choice B. is probably the answer you’re probably looking for.

So, I recommend you to color it apricot. :)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Select the graph of the function f(x) = 4+ 1/x+6

Answers

Answer:

F(x) = 4+ 1/x + 6 = 10x + 1

                                    x

.. Write the number word of 0.036​???

Answers

Answer:

zero point zero three six

Differentiate y = sin^2x - cos^2x

Answers

Using the power and chain rules, the derivative of

y = sin²(x) - cos²(x)

is

dy/dx = 2 sin(x) cos(x) - 2 cos(x) (-sin(x))

dy/dx = 2 sin(x) cos(x) + 2 sin(x) cos(x)

dy/dx = 4 sin(x) cos(x)

and using the double angle identity for sine, this is equivalent to

dy/dx = 2 sin(2x)

Alternatively, we can first simplify y using the double angle identity for cosine:

cos(2x)= cos²(x) - sin²(x)

so that

y = -cos(2x)

and the derivative is

dy/dx = sin(2x) • 2

dy/dx = 2 sin(2x)

A curve has equation y=4x^3 -3x+3. Find the coordinates of the two stationary points. Determine whether each of the stationary points is a maximum or a minimum.

Answers

Answer:

There are two stationary points

Local max = (-0.5, 4)Local min = (0.5, 2)

Note that 1/2 = 0.5

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

How to get those answers:

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing (i.e. it's staying still at that snapshot in time).

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = sqrt(1/4) or x = -sqrt(1/4)

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

----------------------

Let's do the first derivative test to help determine if we have local mins, local maxes, or neither.

Set up a sign chart as shown below. Note the three distinct regions A,B,C

A = numbers to the left of -0.5B = numbers between -0.5 and 0.5; excluding both endpointsC = numbers to the right of 0.5

The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

The reason why I split things into regions like this is to test each region individually. We'll plug in a representative x value into the f ' (x) function.

To start off, we'll check region A. Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

The actual result doesn't matter. All we care about is whether if its positive or negative. In this case, f ' (x) > 0 when we're in region A. This tells us f(x) is increasing on the interval [tex]-\infty < x < -0.5[/tex]

Let's check region B. I'll try x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when [tex]-0.5 < x < 0.5[/tex]. The f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Plug x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point. More specifically, it's a local max.

Side note: This is the same as the point (-1/2, 4) when written in fraction form.

----------------------

Let's check region C

I'll try x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when [tex]0.5 < x < \infty[/tex]. The function f(x) is increasing on this interval.

Region B decreases while C increases. The change from decreasing to increasing indicates we have a local min when x = 0.5

Plug this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

The local min is located at (0.5, 2) which is the other stationary point.

The graph and sign chart are shown below.

The local min is located at (0.5, 2) which is the other stationary point.

How to Determine whether each of the stationary points is a maximum or a minimum?

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing.

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

The first derivative test to help determine if we have local mins, local maxes, or neither.

A = numbers to the left of -0.5

B = numbers between -0.5 and 0.5 excluding both endpoints

C = numbers to the right of 0.5

Thus, The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

In this case, f ' (x) > 0 when we're in region A.

Let's check region B x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Substitute x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point, it's a local max.

Let's check region C x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when The function f(x) is increasing on this interval.

Susbtitute this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

Hence, The local min is located at (0.5, 2) which is the other stationary point.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

2/8 and 1/2 write < or >

Answers

Answer:

0.5 > 0.25

Step-by-step explanation:

2/8 = 1/4 = 0.25

1/2 = 0.5

Answer:

<

Step-by-step explanation:

1/2 equals more than 2/8.

Because if u simplify 2/8 it would equal 1/4 which is less than 1/2.

QD = 20000 -3P QS = 15000 +2P

Answers

The equilibrium price of the commodity at the given demand and supply is 1,000.

The given parameters:

Quantity demanded, QD = 20,000 - 3PQuantity supplied, QS = 15,000 + 2P

The equilibrium price of the commodity is calculated as follows;

At equilibrium price, the demand curve and supply curve cross each other.

[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]

[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]

Thus, the equilibrium price of the commodity is 1,000.

The complete question is below;

Determine the equilibrium price, if QD = 20000 -3P  and QS = 15000 +2P.

Learn more about equilibrium price here: https://brainly.com/question/22569960

3+3=6! Easy for kids to learn!

Answers

Answer:

indeed

Step-by-step explanation:

3+3=6

help i dont know how to do the rest of this homework

Answers

Answer:

Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.

and nine divided by 3 is 3 so nine yards in the row with 108 inches.

360 divided by 12 which is 30 so 30 feet in the row with 360 inches.

90 feet divided by three so 30 so 30 yards in the row with 360 inches.

24 inches equals 2 feet

double this length is 48 inches or 4 feet

so in all he cut 6 yards and since he only had three yards you will still have  3 yards left over.

Find all the perfect cubes between 1000 and 2000.

Answers

There are only 2 perfect cubes in between 1000 and 2000.

11^3 = 1331
12^3 = 1728

A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream

Answers

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

B = boat's speedR = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

https://brainly.com/question/12895249

who ever gives to correct answer I will mark the brainiest ​

Answers

Answer:

the answer is B

Step-by-step explanation:

on the Cartesian plane u have to think of the distance from both the positive and negative side

so 3 is 3 units from the origin and -6 is 6 units from the origin

Therefore the total length is 9 (3+6)

And B is the only answer which will give 9

A’= _ , _

B’= _ , _

C’= _ , _

Answers

Answer:

if it's only translated left 3, then it should be A (-5, -1) B (-1, -1) and C (-1, 2)

A. (-5,-1) B.(-1,-1) c (-1,2) is the answer

9. What conversion factor can you use to convert miles to inches? Explain how you found it.​

Answers

Answer:

You know that 1 mile = 5280 feet and 1 foot = 12 inches, so using these conversion factors you can go from one to the other.

I hope this answered you question!

Step-by-step explanation:

Pls help and show ur work ASAP I’ll add extra points

Answers

Answer:

Slope: 7/5 , Y-int: 1/5

Step-by-step explanation:

To find the slope, lets use the points (-3,-4) and (2,3)

The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.

(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)

We find the y-int in many ways but i will show two.

We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).

y-(-4)=7/5(x-(-3))

y+4=7/5x+21/5 (then move the 4 to the other side)

y=7/5x+1/5

The 1/5 is our y-int since we now have it in slope intercept form!

The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.

Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point

-4=(7/5)(-3)+b

-4=-21/5+b (move -15/7 to other side)

1/5=b !

we get the same answer I hope this helps sorry its long

Please help, I will give good rating and brainliest of possible!!
Thank you!!!!!!!!

Answers

Answer:

[tex]g(x)=x+8[/tex]

Step-by-step explanation:

Translating a function up is very simple, all you need to do here is add 8.

If you want to think of it logically,

[tex]f(x)=x[/tex]

the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning [tex]x+2[/tex]. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.

how to solve 1/2(x-6) = 1/2

Answers

Answer:

x=7

Step-by-step explanation:

1/2(x-6)=1/2

(1/2)(x)+(1/2)(−6)=1/2

1/2x+−3=1/2

1/2x−3=1/2

1/2x−3+3=1/2+3

1/2x=7/2

2*(1/2x)=2*(7/2)

x=7

tada!

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