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2 years ago

What is the range of the function f(x) = (x - 1)? when the domain is {-5, 0,5}?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

f(x) = (x - 1)2

f(x) = 2x - 2

let x = -5, f(x) = -12

let x = 0, f(x) = -2

let x = 5, f(x) = 8

range is {-12, -2, 8}

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Find the area of the triangle belowunits given are cm, cm^2, cm^3

zloy xaker [14]

Answer:

$A_T=150cm^2$

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

$A_T=\frac{1}{2}(b\times h)$

Therefore in the information given we have the following:

$\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}$

Therefore the Area of this triangle is as follows:

$\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}$

Note! Units are centimeter-squared

4 0

1 year ago

What is the volume of a hemisphere that

ch4aika [34]

<u>Given</u>:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

$r=\frac{d}{2}=\frac{12.6}{2}=6.3$

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

Substituting the values, r = 6.3 and π = 3.14, we have;

$V=\frac{2}{3} (3.14)(6.3)^3$

Simplifying the values, we have;

$V=\frac{2}{3} (3.14)(250.047)$

$V=\frac{1570.29516}{3}$

Dividing, we have;

$V=523.43172$

Rounding off to the nearest tenth, we get;

$V=523.4$

Thus, the volume of the hemisphere is 523.5 cm³

6 0

2 years ago

Why 10^33/2=5*10^32? Explain, pls. :(

german

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

--------------------

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

4 0

1 year ago

Lena took a test with 20 questions. She lost 5 points for each of the 12 questions she got incorrect, however, gained 20 points

Makovka662 [10]

Answer:

Step-by-step explanation:

6 0

2 years ago

What is 8.275 rounded to the nearest ounce?

Crank

Answer:

8.0

Step-by-step explanation:

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3 years ago

Read 2 more answers