There are 2 trucks for every 3 cars in the parking lot. How

F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x

Alex787 [66]

Answer:

f(x)=1/2x+4.

Step-by-step explanation:

8 0

3 years ago

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds

svetlana [45]

Answer:

Yes, but it is not linear. It is exponential : $f(x) = 5\cdot 2^{x-1}$

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

$f(x) = 5\cdot 2^{x-1}$ ,

where x is a number of days and f(x) gives us the number of bacteria.

4 0

3 years ago

Answer as many as possible please need work for brainilist

zysi [14]

Answer:

1. 18x + 35y = 598

x + y = 20

Isolate a variable in the second equation:

y = -x + 20

Plug y back into the first equation

18x + 35(-x + 20) = 598

18x - 35x + 700 = 598

-17x +700 = 598

-17x = -102

x = 6

You carpool 6 days of the 20

6 + y = 20

y = 14

You ride the bus 14 days of the 20

2. 4.50n + 3p = 252

p = 2n

Substitute p into the first equation

4.50n + 3(2n) = 252

4.50n + 6n = 252

10.5n = 252

n = 24

They sold 24 cans of nuts

p = 2(24)

p = 48

They sold 48 boxes of popcorn

The group sold, in total, 24 + 48 = 72 cans of nuts and boxes of popcorn.

3. x - y = 3

x + y = 8

Isolate a variable

x = y + 3

(y + 3) + y = 8

2y + 3 = 8

2y = 5

y = 2.5

The average speed with wind is 2.5 mph

x - 2.5 = 3

x = 5.5

The average speed without wind is 5.5mph

4. x + 8y = 22.8

x + 6y = 18.6

Isolate

x = -8y + 22.8

Substitute

(-8y + 22.8) + 6y = 18.6

-2y + 22.8 = 18.6

-2y = -4.2

y = -2.1

The gas costs $2.10 per gallon

x + 8(2.1) = 22.8

x + 16.8 = 22.8

x = 6

The cost of the car was is $6.

5. Cost = 9.99 + 2.49x

Cost = 20.49 + 1.79x

To find which one is better, we need to set them equal to each other at first.

9.99 + 2.49x = 20.49 + 1.79x

9.99 + 0.70x = 20.49

0.70x = 10.5

x = 15

So, they cost the same at 15 rentals.

To find which one is the better deal let's see how much both cost after 16 rentals.

Cost = 9.99 + 2.49(16)

= 49.83

Cost = 20.49 + 1.79(16)

= 49.13

Therefore, Main Street is the better deal because after the equilibrium Main Street costs less than Big Video.

6. x + y = 15

.25x + .05y = 2.75

Isolate

x = -y + 15

Solve

.25(-y + 15) + .05y = 2.75

-.25y + 3.75 + .05y = 2.75

-0.2y + 3.75 = 2.75

-0.2y = -1

y = 5

There are 5 nickels

x + 5 = 15

x = 10

There are 10 quarters

7. x + y = 26

x + .25y = 17

Isolate

x = -y + 26

Substitute

(-y + 26) + .25y = 17

-0.75y + 26 = 17

-0.75y = -9

y = 12

There are 12 quarters in his pocket

x + 12 = 26

x = 14

There are 14 dollars

I hope this helps!!

- Kay :)

6 0

3 years ago

The elevation at ground level is 0 feet. An elevator starts at 29 feet below ground

Alexandra [31]

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

3 0

2 years ago

The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17

belka [17]

Answer:

n = 10

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

$(a^{m}) ^{n}$ = $a^{mn}$

Given

( $y^{20}$ ) ( $(y^{-5}) ^{2}$

= $y^{20}$ × $y^{-10}$

= $y^{(20-10)}$

= $y^{10}$ → in the form $y^{n}$ with n = 10

8 0

3 years ago