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Svetradugi [14.3K]
2 years ago
7

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

Mathematics
2 answers:
Aneli [31]2 years ago
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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Find the value of x.
lawyer [7]

Answer:

\huge\boxed{x=\sqrt{70}}

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

\dfrac{AB}{AD}=\dfrac{AC}{AB}

Substitute:

AB=x\\AC=7+3=10\\AD=7

\dfrac{x}{7}=\dfrac{10}{x}       <em>cross multiply</em>

(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}

4 0
3 years ago
Alina has just received 3 video games for her birthday to add to her existing 12 video games. A week later she went to the thrif
amm1812
She should have a total of 35 games by now.
4 0
3 years ago
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16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
9. The sum of 10 and 7 times a number is 59. What is the<br> number? (Use n as the variable.)
PSYCHO15rus [73]
10+7n=59
7n=59-10
7n=49
n=49/7
n=7
4 0
3 years ago
Read 2 more answers
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

5 0
3 years ago
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