Use the Distributive Property to expand 4(3x+4y)

Answer:

[tex]a = 3[/tex]

[tex]b = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

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

When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]

We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

Answer:

the 2nd colonie of bacteria grows faster

Step-by-step explanation:

Answer:

a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.

b. Bacteria B grows faster by 35000

Step-by-step explanation:

Jane gets 5,760.

Commissions are a form of variable-pay remuneration for services rendered or products sold.

Given:

House sold for $160,000 with a listing commission of 6%

So, full commission

=160,000*0.06

= 9, 600

And, jane's share will be

=9600 * 0.60

=5,760

Hence, jane's share will be 5,760.

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Answer:

-6/16

Step-by-step explanation:

Just multiply the top and bottom by 2.

Answer:

(-3/8)

Step-by-step explanation:

Answer:

x = 22, and im rlly sry, i dont know how to solve for y...im sry...

Step-by-step explanation:

180 - 55 = 125 degrees

so

6x - 7 = 125

     +7     +7

6x = 132

divide by 6

x = 22

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

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

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

Answer:

y = 18

x = 7

Step-by-step explanation:

Since the Capulet's only have a total of 50 feet of fencing then that will also be the maximum perimeter of the fence and cannot exceed that value. Therefore, using the information provided we can conclude the following

y > 2x

y + y + x + x <= 50ft

2x + 2x + x + x <= 50ft

Now that we have these equations we can first solve for x and then solve for y

2x + 2x + x + x <= 50ft

6x <= 50ft   ... divide by 6

x <= 8.33

y > 2 * 8.33

y > 16.66

Therefore, one possible value would be

Answer:

I hope this helps:D

Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

Answer:

I meant an example for a problem like the one you posted.

Either way, I'll try to help.

in the example, you're finding out what percentage of 352 is 226.6.

So divide 226.6 (The number that you're using to find what percentage it is of 352) by 352( the number you're finding the percentage of.)

226.6/352= 0.64375, and multiply the quotient by 100 to get 64.375. You're rounding up by the nearest hundredth, so the 7 turns to 8. (5 or more means rounding up.)

your final answer for the example is 64.38%. So Try that with your next problem.

For the one you're working on, divide 110.9 by 100 and then multiply it by 419.

You'll get 464.671.

Answer:

yikes they're accounts  got deleted✋

Step-by-step explanation:

Answer:

use math- way for those and your other homework i promise it'll work!

Step-by-step explanation:

The numbers inside the parentheses are the x values. Replace x with each number and solve.

F(1) = 50 + 30(1)= 50+ 30 = 80

F(2) = 50 + 30(2)= 50 + 60 = 110

F(3) =!50 + 30(3)= 50 + 90 =140

The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = 50 + 30x

The value of the function at x = 1, will be

f(1) = 50 + 30 × 1

f(1) = 50 + 30

f(1) = 80

The value of the function at x = 2, will be

f(2) = 50 + 30 × 2

f(2) = 50 + 60

f(2) = 110

The value of the function at x = 3, will be

f(3) = 50 + 30 × 3

f(3) = 50 + 90

f(3) = 140

Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

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Answer:

300°

Step-by-step explanation:

Subtract 360° from 1020° and repeat until angle is in required range

1020° - 360° = 660°, then

660° - 360° = 300°

300° is coterminal with 1020°

An angle between 0° and 360° that is coterminal with 1020° is 300°.

Coterminal angles are defined as the angles which has the same terminal side with the initial side on the positive side of X axis.

We have to find an angle between ° and 360° that is coterminal with 1020°.

Subtract 360° from the given angle until the angle obtained is between 0° and 360°.

1020 - 360 = 660

660 - 360 = 300

So 300° is a coterminal angle with 1020.

Hence the coterminal angle is 300°.

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Answer:

option D

Step-by-step explanation:

a² - b² = (a + b) (a - b)

625 = 5 * 5 * 5 * 5 = 5⁴

y⁴ - 625 = y⁴  - 5⁴

             = (y²)² - (5²)²           {a = y² ; b = 5²}

            = (y² + 5²)(y² - 5²)

           = (y² + 25)(y² - 5²)

           = (y² + 25)(y + 5)(y - 5)

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

Answer:

13, i think.

Step-by-step explanation:

use the equation: p( 1 - 7.5/100)^r

p= original amount

r = years

sub in numbers

22300 ( 1- 7.5/100)^r

just sub in different numbers for r till you get closest to your answer

After 13 years the value of the car would be $7700

"It describes the decrease in an amount by a consistent percentage rate over a period of time."

"f(t) = a(1 - r)^t , where t is time, a is the initial value and r is the rate"

For given example,

initial value of the car (a) = 22300

The value of the car depreciates at 7.5% per year.

So, the rate (r) = 7.5%

We can write 7.5 percent as,

7.5% = 7.5/100

        = 0.075

So, r = 0.075

Let 't' represents the number of years

We need to find the number of years when the car value is 7700 dollars.

y = $7700

Using the formula of exponential decay,

⇒ y(t) = a × (1 - r)^t

⇒ 7700 = 22300 × (1 - 0.075)^t

⇒ 0.3453 = (0.925)^t

⇒ t = 13.63

⇒ t ≈ 13

Therefore, after 13 years the value of the car would be $7700

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Answer:

10 over 100 multiply by Rs 50000 over 1

.: cut 2 zeros ( 0 ) from 100 and cut 2 ( zeros ) from Rs 50000

.: 10 over 1 by Rs 500 over 1

.: 10 multiply RS 500 = 5 000

His / her increment = RS 5 000

Answer:

14.68

Step-by-step explanation:

4.32 + b = 19

Solve for b.

_____________

To solve, we need to get b by itself.

4.32 + b = 19

Subtract 4.32 from both sides :

b = 14.68

Step-by-step explanation:

distance must be given

average speed is distance and time

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Answer:

14

Step-by-step explanation:

substitute 2 for y

multiply

subtract

yay

Answer:

Hola Ninos

Step-by-step explanation:

Answer:

B= 3

Total length of lizard is 3+6=9 inch

Step-by-step explanation:

Answer:

x<14

Step-by-step explanation:

#To make a fraction into percentage, the easy way is to times the fraction with 100

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%