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Leokris [45]
2 years ago
8

Write the domain and the range of the function as an inequality, using set notation, and using interval notation. also describe

the end behavior of the function
the graph of the quadratic function f(x) = -x^2 is shown

Mathematics
1 answer:
kondaur [170]2 years ago
4 0

When the domain of the function is continuous, a different approach may well be required, although even here we note that in practice, optimization problems are usually solved using a computer, so that in the final analysis the solutions are represented by strings of binary digits (bits).

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Find the value of x. Show your work using word and number explanation. <br><br>6x=6+x​
Scrat [10]

Answer:

The value of x is 1.2

Step-by-step explanation:

Given;

6 x=6+x

Move x to the opposite side of the equation as follows;

6 x-x=6

Collect the like times, 6 x and x

6x-x=6

Subtract x from 6 x and solve

6x-x=5x

The equation remains;

5x=6

Divide both sides of the equation by 5 to solve for x;

(5x)/5=6/5

x=1.2

The value of x is 1.2

4 0
3 years ago
What is the value of x? If necessary leave your answer in the simplest radical form.
frutty [35]
<h3>Answer:  32</h3>

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

4 0
2 years ago
If STUV is a square with SW = 2x + 13 and WU = 8x - 41, find VT.<br><br> 20 points
sergejj [24]

Answer: VT equals 62

Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.

If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;

2x + 13 = 8x - 41

Collect like terms and you now have,

13 + 41 = 8x - 2x

54 = 6x

Divide both sides of the equation by 6

9 = x

Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.

Therefore, VT is calculated as follows;

VT = SW + WU

VT = 2x + 13 + 8x - 41

VT = 2(9) + 13 + 8(9) - 41

VT = 18 + 13 + 72 - 41

VT = 62

8 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for it.
Korolek [52]

Answer:

452.448cm^3

Step-by-step explanation:

Given data

Height= 25cm

Diamter= 12cm

Radius= 6cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*6^2*25

V=  1/3*3.142*36*12

V=  1/3*1357.344

V=452.448cm^3

Hence the volume is 452.448cm^3

8 0
2 years ago
The radius of a mini basketball is 4 inches. what is the volume rounded to the nearest tenth?
AVprozaik [17]

Answer:

268.08 inches3

Step-by-step explanation:

5 0
3 years ago
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