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2 years ago

What is the range of the function f (x)=3.2x for the domain (-4, -2, 0, 2, 4)?

2 answers:

7 0

So we don't have to multiply each domain, we just need to find the lowest and highest domain and put it into the equation (since we're just multiplying)
-4 and 4 are the lowest and highest.
3.2×-4=-12.8; this means that when 4 is put into the equation, it will be 12.8 since they're opposites.
So, the range is -12.8 to 12.8.

exis [7]2 years ago

6 0

Answer: Hello there!

The function is f(x) = 3.2*x and we want to know the range of this function for the domain (-4, -2, 0 , 2, 4)

First we need to evaluate f(x) in the points of the domain, and this give us the pairs:

(-4, 3.2*-4) = (-4, -12.8)

(-2, 3.2*-2) = (2, -6.4)

(0, 3.0) = (0,0)

(2, 3.2*2) = (2, 6.4)

(4, 3.2*4) = (4, 12.8)

The range is the codomain or image of the function, then the range of f(x) for the given domain is:

(-12.8, -6.4, 0, 6.4, 12.8)

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Grapes are 2.55 per pound and on two separate occasions Dana went to the store to

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Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

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2 years ago

Find the value of x in the triangle shown below.<br> Choose 1 answer:

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For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

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2 years ago

Which ordered pair is a solution of y = x + 4?

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Answer:

Step-by-step explanation:

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D. (9,13) because when x=9 so y=9+4 = 13.....(right)

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2 years ago

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Compute the present value of $9,000 paid in four years using the following discount rates: 4 percent in year 1, 5 percent in yea

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The sum would amount to $10,527.75 after the end of 4 years.

Step-by-step explanation:

The Problem pertains to compounding interest with varying rates over the years. Our approach to solve the problem would be in a chronological fashion starting with the 1st year

Principal- $ 9000

Rate interest= 4%

Time period would be 1 year since the interest are considered for successive years.

We know the formulae- Amount= Principal (1+rate/100) ⁿ

Where “n”= time period= 1 in all cases

⇒Amount after 1st year at 4% rate= 9000(1+4/100)

9000*104/100= $ 9360

This amount would serve as Principal for 2nd year

⇒Hence, Amount for 2nd year at 5% rate= 9360(1+5/100)

9000*105/100= $ 9828

⇒Similarly, Amount for 3rd year at 4% rate= 9828(1+4/100)

=9828*104/100= $ 10,221.12

⇒Amount for the last year at 3% rate= 10,221.12(1+3/100)

=10,221.12*103/100= $ 10527.75

Hence the present value of the amount is $ 10527.75 after the end of 4 years.

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3 years ago

In a lab a substance was was heated by 4°C each hour for 28 hours. What was the total change in temperature

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Answer:

The temp went up by 112c

Step-by-step explanation:

4*28=112c

Difference would be 112c

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3 years ago