Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).

Answers

Answer 1

Answer:

-36 • (22u + 1)

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -74u - 5  =   -1 • (74u + 5)

Equation at the end of step  2  :

 (6 • (58u + 1)) -  -6 • (74u + 5)

Step  3  :

Equation at the end of step  3  :

 6 • (58u + 1) -  -6 • (74u + 5)

Step  4  :

Pulling out like terms :

4.1      Pull out     6

Note that  -6 =(-1)• 6

After pulling out, we are left with :

     6 • ( (-1)  *  (58u+1) +( (-1)  *  (74u+5) ))

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -132u - 6  =   -6 • (22u + 1)

Final result :

 -36 • (22u + 1)


Related Questions

The following graph shows the number of customers who purchased something from a store in September and October. What is misleading about the graph?
A. The bars do not touch.
B. The intervals on the vertical axis between 200 and 207 are not even.
C. The graph exaggerated the difference in the number of customers between September and October.
D. The graph is not misleading

Answers

Answer:

C

Step-by-step explanation:

The graph is misleading because it exaggerates the difference.  September had 202 customers and October had 206.  That's a difference of 4 customers, which out of 202 isn't very much.  The graph doesn't start at 0, and that's why it looks exaggerated.

The misleading about the graph

The graph exaggerated the difference in the number of customers between September and October.

Here the given graph is misleading because it exaggeration the difference,

As, September has 202 customer while October has 206 customers.

and, the difference in the customer is 4.

The difference is very minimum if remove from 202.

Also, the graph have a kink which shows the graph does not start from 0 and this is why the exaggeration is pronounced.

Thus, The graph exaggerated the difference in the number of customers between September and October.

Learn more about Bar Graph here:

https://brainly.com/question/30443555

#SPJ2

A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line?

Answers

Answer:

A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line?

y=6x+3

Step-by-step explanation:

Write the equation of G(x)

Answers

Answer:

[tex]G(x)=\frac{1}{2}(x-3)^3+2[/tex]

Step-by-step explanation:

The given function is

[tex]F(x)=x^{3}[/tex]

The transformations to this graph are  in the form;

[tex]G(x)=a(x-b)^3+c[/tex]

where [tex]a=\frac{1}{2}[/tex] is the vertical compression by a factor of [tex]\frac{1}{2}[/tex]

b=3 is a shift to the right by 3 units.

c=2 is an upward shift by 2 units.

Therefore [tex]G(x)=\frac{1}{2}(x-3)^3+2[/tex]

Answer:

The equation is

[tex]G(x)=-\frac{1}{2}(x-3)^3 +2[/tex]

Step-by-step explanation:

If the graph of the function [tex]G(x)=cf(x+h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <|c| <1[/tex] then the graph is compressed vertically by a factor c.

If  [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c

If [tex]c <0[/tex]  then the graph is reflected on the x axis.

If [tex]b> 0[/tex] the graph moves vertically upwards.

If [tex]b <0[/tex] the graph moves vertically down

If [tex]h <0[/tex] the graph moves horizontally h units to the right

If [tex]h >0[/tex] the graph moves horizontally h units to the left

In this problem we have the function [tex]G(x)[/tex] and our parent function is [tex]f(x) = x^3[/tex]

We know that G(x) is equal to f(x) but reflected on the x-axis ([tex]c <0[/tex]), compressed vertically by a multiple of 1/2 ([tex]0 <|c| <1[/tex] and [tex]c = -\frac{1}{2}[/tex]), displaced 2 units upwards ([tex]b = 2>0[/tex]) and moved to the right 3 units ([tex]h = -3<0[/tex])

Then:

[tex]G(x)=-\frac{1}{2}f(x-3) +2[/tex]

[tex]G(x)=-\frac{1}{2}(x-3)^3 +2[/tex]

The automatic car wash at a service station can wash 96 cars over a 4-hour period. What is the average number of cars that can be washed in 30 minutes?

A. 4
B. 12
C. 25
D.48

Answers

Answer:

Divide 96/4 to get how many cars can be washed within a single hour. Cut that in half to get 12.

Step-by-step explanation:

96÷4=24 cars/hr

24÷2=12 Cars for every 30 minutes.

Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?​

Answers

ANSWER

C. is the correct answer

[tex] {y}^{2} = 32x[/tex]

EXPLANATION

The given parabola has a focus at (8,0) and directrix at x=-8.

The equation of this parabola is of the form:

[tex] {y}^{2}=4px[/tex]

Where p is the the distance from the vertex to the focus.

Since the vertex is at the origin,the distance from the vertex to the focus (8,0) is p=8.

[tex] {y}^{2} = 4(8)x[/tex]

[tex] {y}^{2} = 32x[/tex]

Answer:

C on edge

Step-by-step explanation:

Need Help Please!!!!!!!!!!

Answers

You add each number by 6n - fourth choice. I am not sure if this is the right answer.

ANSWER

6n

EXPLANATION

The given sequence is

6,12,18,24,...

We can rewrite the terms of the sequence to observe some pattern.

The first term is 6(1)=6

The second term is 6(2)=12

The third term is 6(3)=18

The fourth term is 6(4)=24

Based on this pattern we can generalize that, the nth term of the sequence is 6(n).

Therefore the rule of the sequence is 6n

What is the height of the cone below?
- 3
- 9
- 27
- 75

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \end{cases}\implies V=\pi r^2\cdot \cfrac{h}{3}~~ \begin{cases} \pi r^2=&area~of\\ &circular\\ &base\\ \cline{1-2} \stackrel{B}{\pi r^2}=&5\\ V=&45 \end{cases} \\\\\\ 45=5\cdot \cfrac{h}{3}\implies 135=5h\implies \cfrac{135}{5}=h\implies 27=h[/tex]

Answer:

The correct option is C) 27

Step-by-step explanation:

Consider the provided figure.  

Volume of a cone is: [tex]V=\frac{1}{3}\pi r^2h[/tex]

The area of base of the cone is = area of circle = [tex]\pi r^2[/tex]

Volume of the cone is 45 in³ and the area of base is given as 5 in²

Therefore, [tex]45=\frac{1}{3}\pi r^2h[/tex]

and [tex]5=\pi r^2[/tex]

Substitute the value of [tex]\pi r^2=5[/tex] in  [tex]45=\frac{1}{3}\pi r^2h[/tex]

[tex]45=\frac{1}{3}\times 5\times h[/tex]

[tex]45\times \frac{3}{5}=h[/tex]

[tex]h=27[/tex]

Hence, the height of the cone is 27 in.

Therefore, the correct option is C) 27

Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kind of coins did she receive?

Answers

Answer:

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x----> the number of dimes

y----> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 ------> equation A

x=y+3-----> equation B

z=y-4 -----> equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

Find the value of x

x=y+3 -----> x=7+3=10 dimes

Find the value of z

z=y-4 -----> z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

-4 square divided by 8

Answers

Answer:

2

Step-by-step explanation:

If you square -4 it equals 16 and if you take that number and divibe it by 8 you get 2.

Rewrite 4n^2+2n as a factorial.

Answers

Answer:

4n²+2n as a factorial is given as:

[tex]= (2n+1)!/(2n-1)![/tex]

Step-by-step explanation:

We are given an expression which has to be converted into factorial form.

The expression is as follows:

[tex]4n^{2} + 2n\\ = 2n(2n+1)\\ = (2n+1)2n\\[/tex]

Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.

Hence, multiplying and dividing by '(2n-1)!'; we get:

[tex]= ((2n+1)(2n)(2n-1)!)/(2n-1)![/tex]

we know that x(x-1)(x-2)! = x!, so:

[tex]= (2n+1)!/(2n-1)![/tex]

Can somebody help me pls

Answers

Which outcomes are in a or b is answer B

965406000351682.62 in words also 8591000806.36 in words​

Answers

Two large numbers are converted to words. The first is 'nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths' and the second is 'eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths'.

The number 965406000351682.62 in words is nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths.

The number 8591000806.36 in words is eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths.

Help please this is due I will give brainliest

Answers

340,000467,500361,250180,625

Hope this helps :)

Answer:

A = 340,000 square feet

B = 467,500 square feet

C = 361,250 square feet

D = 180,625 square feet

find the greatest common factor of the following monomials: u3v6 u6v2​

Answers

Answer:

1 2 3 1

Step-by-step explanation:

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam!

Answer:

The GCF is [tex]u^3v^2[/tex]

Step-by-step explanation:

The given monomials are:

[tex]u^3v^6[/tex]

and

[tex]u^6v^2[/tex]

The greatest common factor is the product of the least powers of the common factors.

The least of the powers of the common factors are:

[tex]u^3[/tex] and [tex]v^2[/tex].

Their product is [tex]u^3v^2[/tex]

Therefore the Greatest Common Factors is [tex]u^3v^2[/tex]

which equation is the inverse of 5y+4=(x+3)^2+1/2

Answers

-5y - 4 = -(x + 3)^2 - 1/2

Answer:

This is the answer

During February last year in Chicago, the lowest temperature was -5
F and the highest
temperature was 19
F. What was the difference in temperature between the coldest day and
the hottest day? Show your answer using a number line and then a number sentence

Answers

Answer:

Difference is 26 degrees f

Step-by-step explanation:

Find the endpoint given a midpoint of (3,2) and an endpoint of (4,-3)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y-3}{2} \right)=\stackrel{\textit{midpoint}}{(3,2)}\implies \begin{cases} \cfrac{x+4}{2}=3\\[1em] x+4=6\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y-3}{2}=2\\[1em] y-3=4\\ \boxed{y=7} \end{cases}[/tex]

A company claims its washing machine produces 4000 joules of work output for every 3000 joules of work input. What would make you skeptical about this claim?

Answers

Things that make me skeptical: No evidence is provided, the company also claims that its washing machine produces 4000 joules of output for ever 3000 joules of input, and there is no possible way of creating a joule output larger than the input, unless your using coils to increase electricity, but that's not what washing machines have inside of their machinery. Washing machines don't have mini Tesla coils inside their machinery!

I hope this helps!

Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.

Answers

Add the ratios together:

5 +4 = 9

Divide the total amount by t his number:

54 / 9 = 6

Now multiply each side of the ratio by 6:

Sam = 5 x 6 = £30

Bethan = 4 x 6 = £24

There are 5 boys and 5 girls on a co-ed basketball team. A team plays 5 players on the court at one time, and the team can have at most 3 boys. How many possible teams can be created?

Answers

Answer:

226 teams

Step-by-step explanation:

A team can be:

5 girls4 girls and 1 boy3 girls and 2 boys2 girls and 3 boys

Count all combinations:

1. 5 girls from 5 girls can be chosen in 1 way.

2. 4 girls from 5 girls can be chosen in

[tex]C^5_4=\dfrac{5!}{4!(5-4)!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 4\cdot 1}=5[/tex]

different ways and 1 boy from 5 boys can be chosen in

[tex]C^5_1=\dfrac{5!}{1!(5-1)!}=\dfrac{5!}{1!\cdot 4!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 4\cdot 1}=5[/tex]

different ways, so in total,

[tex]5\cdot 5=25[/tex]

different combinations.

3. 3 girls from 5 girls can be chosen in

[tex]C^5_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!\cdot 2!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2}=10[/tex]

different ways and 2 boys from 5 boys can be chosen in

[tex]C^5_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5!}{2!\cdot 3!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 1\cdot 2\cdot 3}=10[/tex]

different ways, so in total,

[tex]10\cdot 10=100[/tex]

different combinations.

4. 2 girls from 5 girls can be chosen in

[tex]C^5_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5!}{2!\cdot 3!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 1\cdot 2\cdot 3}=10[/tex]

different ways and 3 boys from 5 boys can be chosen in

[tex]C^5_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!\cdot 2!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2}=10[/tex]

different ways, so in total,

[tex]10\cdot 10=100[/tex]

different combinations.

In total, there are

[tex]1+25+100+100=226[/tex]

possible teams.

Find the exact circumference of a circle with the given radius.
3/4 inches
C=
6.25ft in
6.57 in.
23.257 in.

Answers

Answer:

[tex]6.5\pi\ in[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=3\frac{1}{4}\ in[/tex]

Convert to an improper fraction

[tex]r=3\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}\ in[/tex]

substitute

[tex]C=2\pi(\frac{13}{4})[/tex]

[tex]C=\frac{13}{2}\pi=6.5\pi\ in[/tex]

Find the missing side length,m

Answers

Answer:

m = 3

because qrst is a parallelogram opp. sides are equal

Answer:

Step-by-step explanation:3

PLEASE HELP!!!!!


The scale of a map is 1 inch : 9.5 miles.


a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?


b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?

Answers

Answer:

Part a) The distance on a map between Joseph's house and the airport is 2.53 inches

Part b) The distance on a map between the airport and the restaurant is 1.68 inches and the total distance on a map between Joseph's house and the restaurant is 4.21 inches

Step-by-step explanation:

Part a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?

we know that

The scale of a map is 1 inch : 9.5 miles

so

using proportion

Find the distance on a map if the  actual distance between Joseph's house and the airport is 24 miles

Let

x-----> the distance on a map

1/9.5=x/24

x=24/9.5=2.53 inches

Part b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?

we know that

The scale of a map is 1 inch : 9.5 miles

so

using proportion

Find the distance on a map if the  actual distance between airport to the restaurant is 16 miles

Let

x-----> the distance on a map

1/9.5=x/16

x=16/9.5=1.68 inches

The total distance on a map between Joseph's house and the restaurant is equal to

2.53 inches+1.68 inches=4.21 inches

The lines s and t intersect at point R.
What is the value of y?
Enter your answer in the box
(4y - 8)
(79 + y)°

Answers

Y=29

Set the equations equal to eachother since they're vertical angles and solve.

Y=29 is the answer you're welcome

I don’t understand how to do this can anyone help

Answers

Answer:

I want to say the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A filled in circle located on the number line indicates x can equal that value

If the circle is open then x cannot equal that value

An arrow pointing right from the circle indicates that x is greater

An arrow pointing left from the circle indicates that x is less

Since the number line has a filled in circle at x = 3 and the arrow is pointing to the right , thus

x ≥ 3 → D

What is the value for x?

Answers

Answer:

x = 12

Step-by-step explanation:

Since all 3 angles are congruent then the triangle is equilateral, thus all 3 sides are also congruent.

Equate any 2 of the sides and solve for x

5x - 22 = 3x + 2 ( subtract 3x from both sides )

2x - 22 = 2 ( add 22 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

The value of x is 12

Step-by-step explanation:

* Lets talk about the equilateral triangle

- The three sides of the triangle are equal in length

- The three angles of the triangle are equal in measure

- To find the measure of each one divide the sum of the measures

  of the angles of the triangle by 3

∵ The sum of the measure of the angles in any triangle = 180°

∴ The measure of each angle in the equilateral Δ = 180° ÷ 3 = 60°

* Now lets solve the problem

- From the figure the three angles have the same mark, that means

 the three angles are equal in measure

∵ m∠A = m∠B = m∠C

∴ Δ ABC is equilateral triangle

∴ AB = BC = AC

- WE can use any two sides of them to find the value of x

∵ AB = 4x - 10

∵ BC = 3x + 2

∵ AB = BC

∴ 4x - 10 = 3x + 2 ⇒ add 10 and subtract 3x from both sides

∴ 4x - 3x = 2 + 10 ⇒ add the like terms

∴ x = 12

- To check the answer substitute the value of x in the 3 sides to

 find the length of each side (they must have the same length)

∵ AB = 4x - 10

∴ AB = 4(12) - 10 = 48 - 10 = 38 units

∵ BC = 3x + 2

∴ AB = 3(12) + 2 = 36 + 2 = 38 units

∵ AC = 5x - 22

∴ AB = 5(12) - 22 = 60 - 22 = 38 units

- All the sides are equal, then the value of x is right

* The value of x is 12

Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale. How many cookies and brownies does
Eder need to make 10 plates?

Answers

Answer:

12 cookies and 10 brownies

Step-by-step explanation:

Eder needs 15 cookies and 5 brownies.

Given in the question is Eder needs 6 cookies and 2 brownies for 4 plates.

We have to calculate the cookies and brownies required for 10 plates.

Let's first calculate the cookies by unitary method.

∵ 4 plates required cookies = 6 cookies

∴  1 plate will require cookies = 6/4

∴ 10 plates will require cookies = 6×10/4 = 15

Similarly we will calculate the brownies.

∵ 4 plates required number of brownies = 2

∴ 1 plate will require = 2/4 brownies

∴ 10 plates will require = 2×10/4 = 5 brownies

Therefore 15 cookies and 5 brownies will be required for 10 plates.

3√16-5=


please help asap

Answers

Answer:

[tex]\large\boxed{3\sqrt{16}-5=7}[/tex]

Step-by-step explanation:

[tex]3\sqrt{16}-5=3(4)-5=12-5=7\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]

P(x|y)
What is this formula?

Answers

Answer:

If x and y are independent events;

[tex]P(x/y)=\frac{P(xny)}{P(y)}=\frac{P(x)*P(y)}{P(y)}=P(x)[/tex]

If x and y are dependent events then;

[tex]P(x/y)=\frac{P(xny)}{P(y)}[/tex]

Step-by-step explanation:

The expression;

P(x|y)  in probability represents the conditional probability of an event x occurring given that an event y has already occurred. An example of such would be; the probability that a student passes the examination given that he attempted all the assignments.

If x and y are independent events, that is the occurrence of y does not in any way influence the occurrence of x, then;

[tex]P(x/y)=\frac{P(xny)}{P(y)}=\frac{P(x)*P(y)}{P(y)}=P(x)[/tex]

If x and y are dependent events then;

[tex]P(x/y)=\frac{P(xny)}{P(y)}[/tex]

[tex]P(xny)[/tex] represents the probability of both x and y occurring together;

n denotes intersection

PLEASE HELP GUYS! 10 POINTS

Answers

tynna get points. this is not the answer, sorry

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