Express each product in the simplest form.

Answer:

Yes

No

Yes

No

Step-by-step explanation:

9, 15 have 3 as the GCF

12, 18 have 6 as the GCF

15, 27 have 3 as the GCF

30, 45 have 15 as the GCF

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

Learn more about the average rate visit:

https://brainly.com/question/27849077

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Answer:

Please see attached image

Step-by-step explanation:

We start by finding the actual algebraic expression for g(x):

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

Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:

for  x = 0  g(x) = 2

for x = 1   g(x) = 6

for x = -1  g(x) = -2

and joining them with a line.

Answer:

46 degrees.

Step-by-step explanation:

Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that

Answer:

3 (x - 5.50) = 111.75

Step-by-step explanation:

They paid $111.75 for three months,  that means they minus $5.50 every month which means a total of $16.5 for three months.

So you need use $111.75 plus the credit $16.5 for three months

111.75 + 16.5 = 128.25

Then use divide them by 3, (three months)

128.25 / 3 = 42.75

So they pay $42.75 per month before the credit.

I wish this could help you.

Answer:

b

Step-by-step explanation:

because i just took the test

Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7.  7 and -21 could be the possible locations of F.

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Answer:

-5√3x = -45

√3x = 9

x = 3√3

Answer:

C

Step-by-step explanation:

55% is the same thing as 0.55. 0.55(300) equals 165

Hope this helps! Please give brainliest!!

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

Answer:

x = 85 Degrees

y = 85 Degrees

Step-by-step explanation:

20 Degrees + 90 Degrees -->

90 and 20 are given => 110 Degrees

e triangle angles sum = 180 Degrees

180 - 110 = 70 Degrees

=> Vertical angles so 25 + x + 70 = 180

x = 85

x + (z) = 180 e sum of half 360

85 + z = 180

z = 95 Degrees

--> z + (y) = 180 e same as above (sum of interior angles)

95 + y = 180

y = 85

Hope this helps!

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

Answer:

C

Step-by-step explanation:

Answer:

30 divided by 3

Step-by-step explanation:

30 positive tiles are divided into 3 sets of 10 positive tiles.

+30 ÷3 = +10

Answer: 3/21=1/7

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

Answer:

i mean if i was you it would be 4 postive , in my math head

Step-by-step explanation:

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]