An unused roll of paper towels is shown. What is the volume of the unused role

Answer:

yes because 422+ 562= 70

Answer:

true

Step-by-step explanation:

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

Answers:

Roots of g(x) are: -1, -6, 1, -4

Y intercept of g(x) is:  24

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

Explanation:

Part 1) Finding the roots of g(x)

To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.

f(x) = (x-2)(x+3)(x-4)(x+1)

0 = (x-2)(x+3)(x-4)(x+1)

(x-2)(x+3)(x-4)(x+1) = 0

x-2 = 0  or  x+3 = 0  or  x-4 = 0   or  x+1 = 0

x = 2  or  x = -3   or   x = 4   or   x = -1

Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.

Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.

The four roots of g(x) are:  -1, -6, 1, -4

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

Part 2) The y intercept of g(x)

Let's plug x = 0 into g(x) to see what happens

g(x) = -f(x+3)

g(0) = -f(0+3) ... replace every x with 0

g(0) = -f(3)

We don't know f(3) yet, but we can plug x = 3 into f(x) to find out

f(x) = (x-2)(x+3)(x-4)(x+1)

f(3) = (3-2)(3+3)(3-4)(3+1)

f(3) = (1)(6)(-1)(4)

f(3) = -24

Therefore,

g(0) = -f(3)

g(0) = -(-24)

g(0) = 24

The y intercept of g(x) is 24.

Answer:

5(2+8)+(12-6/3)2

5(10)+(12/1-6/3)2

50+(36/3-6/3)2

50+(30/3)2

50+60/3

50+20

70

Step-by-step explanation:

Answer: 70

If the equation is  [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]

[tex]5*10+(12-2)*2[/tex]

[tex]5*10+10*2[/tex]

[tex]10(5+2)[/tex]

[tex]10*7[/tex]

Answer: 70

Please mark brainliest if correct :)

Answer:

d

Step-by-step explanation:

BC supplementary means they add up to 180 and answer d adds up to 180

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

Work Shown:

Isolate y in the first equation

2x+y = 5

y = 5-2x .... subtract 2x from both sides

y = -2x+5

Then plug this into the other equation

-3x - 5y = 3

-3x - 5( y ) = 3

-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5

-3x + 10x - 25 = 3 .... distribute

7x-25 = 3

7x = 3+25 .... adding 25 to both sides

7x = 28

x = 28/7 .... divide both sides by 7

x = 4  is the answer

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

Optional Section:

Use this value of x to find y

y = -2x+5

y = -2(4)+5

y = -8+5

y = -3

Then we can check our answers by plugging them into the original equations

2x + y = 5

2(4) - 3 = 5

8 - 3 = 5

5 = 5

That confirms the first equation. Repeat for the second equation

-3x - 5y = 3

-3(4) - 5(-3) = 3

-12 + 15 = 3

3 = 3

We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.

Graphing the two original equations will show that they intersect at (4, -3).

Answer:

k = 5

Step-by-step explanation:

Given that (x - h) is a factor of f(x) then f(h) = 0

Given (x - 1) is a factor of f(x), then f(1) = 0, that is

3(1)³ - 8(1) + k = 0

3 - 8 + k = 0

- 5 + k = 0 ( add 5 to both sides )

k = 5

The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),

∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.

So, 0 = 3(1) - 8(1) + k.

0 = 3 - 8 + k.

k = 5.

learn more about factor of a polynomial here :

https://brainly.com/question/28315959

#SPJ2

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

Answer:

4.5

Step-by-step explanation:

2x=9

x=9/2

 =4.5

Answer:

x = 4.5

Step-by-step explanation:

[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]

Hope this helps.

Answer:

its A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

7. subtract 3

x=(-2)

x=2

8. 8c-4=20

add 4

8c=24

divide 8

c=3

9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]

Answer:

Marrisa plans on studying for 5 hours today!

Step-by-step explanation:

1.5 hours =  (3/10) of X    ...... where X is the "number of hours she plans on studying today" and OF means to multiply....

so..... 1.5 = (3/10)X

then you will solve for X!  

Multiply by 10 on both sides and you get:   15= 3X

then divide by 3 on both sides and you get your answer!   5 = X

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

Answer:

(-5, 7)

Step-by-step explanation:

Answer:

(7,-5)

Step-by-step explanation:

the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).

so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.

then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.

I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)

Answer:

X = 10/9

Step-by-step explanation:

7x - 5 = 2x + 5

7x - 2x = 5 + 5

9x = 10

X = 10/9

Answer:

9

Step-by-step explanation:

9/2= 4.5

Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]

We will assume AB is unknown.

PR = 7.5 ft

AC = 2.5 ft

PQ = 6 ft

Plug in the values into the equation

[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]

Cross multiply

[tex] AB*7.5 = 6*2.5 [/tex]

[tex] AB*7.5 = 15 [/tex]

Divide both sides by 7.5

[tex] AB = 2 [/tex]

The architect should change the length of AB to 2 ft

Answer:

The equation would be:

Y=-3/4 + 9

Step-by-step explanation:

Hope it helps.

Answer:

hehhehhe what the other guy said lol 10+9=21

Answer:

y=56.9933034497, x=.00561680186

Step-by-step explanation:

Answer: -3/4*x=-27

x=36

Step-by-step explanation:

-3/4*x=-27

Divide on -3/4 on both sides:

-3/4/-3/4*x=-27/-3/4

x=36

Answer:

Step-by-step explanation:

no

no

yes

no

no

an integer is a whole number positive or negative or zero.

... ,-3,-2,-1,0,1,2,3,... are integers.

Answer:

35 years

Step-by-step explanation:

A= P(1 + r)^n

A= $8400

r= 3%

n= ?

P= $3000

8400 = 3000(1 + 0.03)^n

8400/3000 = (1 + 0.03)^n

log2.8 = log (1.03)^n

log 2.8 = nlog 1.03

n=log 2.8/log 1.03

n= 35 years

Answer:x = 12

because  RHMO is a rhombus => MH⊥RO

=> m∠3 = 90°

⇒ 8x - 6 = 90°

⇔ 8x = 96

⇔ x = 96/8 = 12

Step-by-step explanation: