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IceJOKER [234]
3 years ago
15

Choose the inverse of y = x2 - 10x.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

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Use technology or a z-score table to answer the question.
Hoochie [10]

Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%

Step-by-step explanation:

Since the nightly cost of hotels in a certain city is normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the nightly cost of hotels.

µ = mean cost

σ = standard deviation

From the information given,

µ = $180.45

σ = $24.02

The probability that a hotel in the city has a nightly cost of more than $200 is expressed as

P(x > 200) = 1 - P(x ≤ 200)

For x = 200,

z = (200 - 180.45)/24.02 = 0.81

Looking at the normal distribution table, the probability corresponding to the z score is 0.79

Therefore,

P(x > 200) = 1 - 0.79 = 0.21

The percentage of hotels in the city have a nightly cost of more than $200 is

0.21 × 100 = 21%

6 0
3 years ago
Slaters room is 5 meters long and 3 1/4 meters wide. What is the area of slaters room?
Flura [38]
Area = l × b
Length = 5 m
Breadth = 3¼ m = 13/4 m

Area =
= 5 × 13/4
= 65/4
= 16.25 m²

Therefore, area of slater's room is 16.25 m²
3 0
3 years ago
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
ioda

Answer:

36 Km

Step-by-step explanation:

Por favor, encontrar el archivo adjunto

3 0
3 years ago
How far does a bus travel at 2.5 hours at 65mph
oksian1 [2.3K]

the bus goes 65 miles every hour. so: 1hr = 65mi

to find how many miles it goes every 2.5 hours, we multiply each side by 2.5:

2.5hrs = 162.5mi

5 0
3 years ago
Read 2 more answers
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Finger [1]

Answer:

Y=2x+4

Step-by-step explanation:

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3 years ago
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