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3 years ago

The gondola conductor charges $2 for

Mathematics

1 answer:

kumpel [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution

Darina [25.2K]

Answer:

(3,2)

Step-by-step explanation:

y = −2x + 8

y = x − 1

Substitute the second equation into the first equation for y

y = -2x+8

x-1 = -2x+8

Add 2x to each side

x-1+2x = -2x+8+2x

3x -1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x =9

Divide by 3

3x/3 = 9/3

x=3

Now find y

y = x-1

y =3-1

y=2

(3,2)

7 0

3 years ago

Read 2 more answers

How to find the inverse of h(x) = 3/ -x - 2 List steps.

PtichkaEL [24]

To find the inverse,

First, you would have to switch the domain and range. In other words, swap x and y:

h(x) = 3/ -x-2
y = 3/ -x-2
x = 3/ -y-2

Then, when you have this, simply solve for y:

x = 3/-y-2
x (-y-2) = 3/-y-2 (-y-2)
x(-y-2) /x= 3 /x
-y-2 = 3/x
-y = 3/x + 2
y = -3/x -2

So the inverse would be
h⁻¹(x)= -3/x -2

7 0

4 years ago

Determine the volume of this prism

nikdorinn [45]

Answer:

200cm cubed

Step-by-step explanation:

Remember that volume of a rectangular prism is length x width x height

4 0

3 years ago

Read 2 more answers

A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after

beks73 [17]

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

$h=32t - 16t^2$

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

$\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t$

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

7 0

3 years ago

The following distribution shows the frequency of daily revenue for an Italian restaurant in Wilmington, Delaware. Revenue Frequ

sergejj [24]

Answer:

The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

Step-by-step explanation:

The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:

Revenue Frequency

Under $2,000 18

$2,000 - $4,000 10

$4,000 - $6,000 26

$6,000 - $8,000 14

$8,000 - $10,000 8

Over $10,000 4

Total 80

The probability of an event E is defined as:

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcome

N = total outcomes

The favorable outcomes of the event X : "more than $6,000 in revenue" is defined as:

n (X) = 14 + 8 + 4 = 26

Total number of outcomes is, N = 80.

Compute the probability of the event X is:

$P(X)=\frac{n(X)}{N}=\frac{26}{80}=0.325$

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

6 0

3 years ago