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QveST [7]
3 years ago
9

Need help asap please! Will give brainliest!! Graph ​ x≥2 ​.

Mathematics
2 answers:
katovenus [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Since x is greater than or equal to 2 the line must be solid so it includes the value 2 and the region to the right must be shaded since it is greater than 2.

inna [77]3 years ago
3 0

Answer:

Step-by-step explanation:

its the first one

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Julius has a garden that has dimensions of 12 ft by 20 ft. Julius needs more room to plant some peppers, and determines the gard
alukav5142 [94]

Answer:

C. 3.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' feet.

As, the length and width of the garden are 20 ft and 12 ft respectively.

It is given that the area of the new garden is 360 ft²

Since, the length and width are increased by 'x'.

The new length and width are (x+20) ft and (x+12) ft respectively.

So, we get,

New area, A_{G} = length × breadth = (x+20) × (x+12)

i.e. 360 = x^{2}+32x+240

i.e. x^{2}+32x-120=0

i.e. (x+35.4)(x-3.4)=0

i.e. x = -35.4 and x= 3.4

Since, the value of x cannot be negative.

Thus, x = 3.4 feet.

5 0
3 years ago
Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter
babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so \mu = 9.

We want to find P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0
3 years ago
Consider the exponential functions below.
klio [65]

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

<h3>How to order the functions?</h3>

The rate of change is calculated using:

m = \frac{y_2 -y_1}{x_2 -x_1}

For function g at the interval [2,3], we have:

m = \frac{g(3) - g(2)}{3- 2}

This gives

m = \frac{20 - 4}{3- 2}

m =16

For function h at the interval [0,2], we have:

m = \frac{h(2) - h(0)}{2- 0}

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

m = \frac{18 + 6}{2 - 0}

m = 12

For function f at the interval [1,2], we have:

m = \frac{f(2) - f(1)}{2- 1}

This gives

m = \frac{12 - 6}{2 - 1}

m = 6

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

Read more about average rates of change at:

brainly.com/question/8728504

#SPJ1

3 0
2 years ago
If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))
4vir4ik [10]

Answer:

Step-by-step explanation:

g(f(x)) =  g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

4 0
3 years ago
Given 100 grams of bacteria that decreases at the rate of 1/2 per year. What would be an appropriate range after 4 years
Brilliant_brown [7]

Answer: B 0

Step-by-step explanation:

8 0
3 years ago
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