1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?

Answers

Answer 1

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30


Related Questions

Make y the subject of the formula
5y - 4h = 18

Answers

Answer:

[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]

Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

.if cant represents it no problem but just i need the answer please ​

Answers

Answer:

The solution is in the photo

what is the quotient of 4/5 divided by 1/3

Answers

Answer:

2 2/5

Step-by-step explanation:

pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.

Answers

There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.

Let x be the upper left acute angle, and y be the lower right acute angle.

We can say

tan(angle) = opposite/adjacent

tan(x) = 16/5

x = arctan(16/5)

x = 72.645975 approximately

x = 72.6

and also

tan(angle) = opposite/adjacent

tan(y) = 5/16

y = arctan(5/16)

y = 17.3540246

y = 17.4

Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.

Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.

Given that AABCDEF, solve for X.
B
A. 10
o
B. 6
C. 17
0 0

Answers

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

[tex]\frac{EF}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] , substitute values

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{30}[/tex] ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}[/tex]

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}[/tex]

[tex]\\ \sf\dashrightarrow 15x=105[/tex]

[tex]\\ \sf\dashrightarrow x=7[/tex]

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​

Answers

Answer:

125 cm

Step-by-step explanation:

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​?

A Regular polygon is a polygon with all sides of equal length

so

25 * 5 = 125 cm

If the measure of base angle ABC is 75 , what is m

Answers

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

6x6x6x8x8x8
write the following using index form

ps. I wrote 6^3 X 8^3 and it wasn't right.....where did i go wrong??

Answers

Answer:

Step-by-step explanation:

Maybe without the x or use a * instead, like:

6^38^3

or 6^3*8^3

Or maybe read the question again because your answer should be right, if not contact the administrator of the website because sometimes bugs like that can happen.

Write a function rule for "The output is one-third of the input x"

Answers

Answer:

y = 1/3x

Step-by-step explanation:

pleeeeease help meeeeeee

Answers

Answer:

  y = 5x +7

Step-by-step explanation:

Using the hint, we have ...

  y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)

  y = 5x +10 -3 . . . . . eliminate parentheses, add -3

  y = 5x +7

please help asap will give brainliest

Answers

Answer:

Step-by-step explanation:

11)  y = -1x - 2

12)  y = -(3/2)x + 3

13)  y = 3x - 2

14)  y = (3/4)x + 1

15)  y = (1/2)x + 1

16)  y = -(2/5)x

17)  y = 7x + 2

18)  y = (4/3)x - 4

Attached graph for 19 and 20

3y=6
Find the slope of the line described by each equation

Answers

Not sure of this answer
But I think the slope is 0
Please correct me if I’m wrong.

On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.

Answers

Answer:

1759.6

Step-by-step explanation:

8.3 multiplied by 212 i think

Help I’ll give brainliest

Answers

Answer:

Is it 95 If it is give me brainliess

Step-by-step explanation:

The answer is 95 I want it

HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?​

Answers

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

5

5

=

10

30

and

3

5

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

2

2

=

8

18

and

7

6

3

3

=

21

18

Ready to go...

Hope this helped!

On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?

Answers

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts.
x y
0 0
1 3
2 5
3 9

Answers

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

Write an Equation in Slope Intercept form for the line described:

passes through (2.5, 0) and (0, 5)

Answers

Answer:

y=-2x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-0)/(0-2.5)

m=5/-2.5

m=-2

y-y1=m(x-x1)

y-0=-2(x-2.5)

y=-2(x-2.5)

y=-2x+5

Please mark me as Brainliest if you're satisfied with the answer.

A company pays its employees $26 for every 4 hours of overtime worked in a day.

Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.


Which employee receives an appropriate payment for the hours of overtime worked, according to the given unit ratio?

Answers

Answer:

John

Step-by-step explanation:

A cylinder has a height of 4 centimeters. Its volume is 12.56 cubic centimeters. What is the radius of the cylinder?

Answers

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

he A water pail in your backyard has a small hole in it. You notice that it has drained a total of 1.5 liters in 4 days. What is the average change in water volume each day?​

Answers

Answer:

0.375 liters per day

Step-by-step explanation:

1.5 / 4 = 0.375 liters per day

A regular polygon has 15 sides find the size of each of its interior angles

Answers

Answer:

156°

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

                                              Pentadecagon

The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.

find the sum of the interior angles

(15 - 2) × 180 =

13 × 180 =

2340

we divide by the number of sides

2340 : 15 =

156° is your answer

question 4. Write an equation of the line that passes through (1, 2) and (3,-2).
Answer in slope-intercept form
O

Answers

Answer:

y=-2x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-2)/(3-1)

m=-4/(2)

m=-4/2

m=-2

y-y1=m(x-x1)

y-2=-2(x-1)

y-2=-2x+2

y=-2x+2+2

y=-2x+4

Please mark me as Brainliest if you're satisfied with the answer.

Which of the following is a solution of x2 + 2x + 4?

Answers

Answer:8x

Step-by-step explanation:

2++2=4 add x up 4 = 8x

Do you mean 2x for the first term or x^2? If the first term is 2X then the solution would be 4x+4. If the first term is not 2x but x^2 instead, then there is no solution for it

if x is the midpoint of AB, then AX=XB?

Answers

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

after riding a bike 9 miles,Alex’s total time was 40 1/2 minutes. Find his time per mile.

Answers

40.5/9= 4.5 minutes per mile.

What are the outliers for 7,1,9,9,12,25,9,7,7,

Answers

The outliers are 1 and 25.

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

Your little brother wants hot chocolate ot be 150 degrees, but you accidentally heated the water to 175 degrees. If after 5 minutes the temperature is 165 and the temperature in your house is 70 degrees, how long will your little brother have to wait to drink his hot chocolate?

Answers

Answer:

12.5 minutes

Step-by-step explanation:

it takes 5 minutes to cool 10 degrees

after ten minutes it would be 20 degrees less

then after 2.5 minutes it would be 5 degrees less

so it would take you 12.5 minutes to get 25 degrees less

Answer:My little brother will have to wait for 12.5 minutes to drink his hot chocolate.Step-by-step explanation:

We know that in 5 minutes, the temperature of the hot chocolate decreased by 10 degrees. We also know that the temperature is fixed at 70 degrees. Now, using the info given, let's solve!

=> 5 minutes = 10 degrees decrease=> 1 minute = 2 degrees decrease=> 1 minute x 12.5 = 2 x 12.5 degrees decrease=> 12.5 minutes = 25 degrees decreaseConclusion:

Therefore, my little brother will have to wait for 12.5 minutes to drink his hot chocolate.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which statement is true when looking at a black ball?

Answers

Answer:

Only the primary color wavelengths are being absorbed by the ball.

Answer:Which statement is true when looking at a black ball?

Group of answer choices

Only the primary color wavelengths are being reflected by the ball.

All color wavelengths are being reflected by the ball.

All color wavelengths are being absorbed by the ball.

Only the primary color wavelengths are being absorbed by the ball.

Step-by-step explanation:

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