The table below represents a linear function f(x) and the equation represents a function g(x):

1 answer:

6 0

The slope of f is 10 because as x increases by 1, f(x) increases by 10.The slope of g is lesser at 5, because every time x increases it only increases by 5. By plugging in 1 and 2 to g(x), we can see that g(2)=11, which is 5 more than g(1)=6.

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Rational numbers are___ natural numbers

Veseljchak [2.6K]

<h2>Answer: Step-by-step explanation: _____ Good evening , _______________ Rational numbers are_not__ natural numbers But ,we can say: natural numbers ARE Rational numbers. ___________________________________ :)</h2>

6 0

3 years ago

Help i forgot how to do this

Slav-nsk [51]

I think it’s Y is 5 and x is 4/1

3 0

3 years ago

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(

Verizon [17]

For this case we have the following function:
f (t) = -16t2 + 48t + 100
The average rate of change is:
(f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 3:
f (3) = -16 * (3) ^ 2 + 48 * (3) + 100
f (3) = 100
For t2 = 5:
f (5) = -16 * (5) ^ 2 + 48 * (5) + 100
f (5) = -60
Substituting values:
AVR = (-60 - 100) / (5 - 3)
AVR = -80
Answer:
The average rate of change of f (t) from t = 3 seconds to t = 5 seconds is -80 feet per second.

8 0

4 years ago

Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree

Blizzard [7]

The Amanda's house is 6.7 km far from her school.

<u>Step-by-step explanation:</u>

From the given information,

The Amanda's school is due west of her house forms the base.
The school is due south of the Shereen's house forms the height.
The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

Base = $\sqrt{(hypotenuse)^{2}-(height)^{2} }$