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Iteru [2.4K]
3 years ago
15

What is the range of the function y = x 2?

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Step-by-step explanation:

Given the function

y=x^2

  • We know that the range of a function is the set of values of the dependent variable for which a function is defined.

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)

f\left(x\right)\ge \:0

Thus,

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

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7. An aquarium is shown below. The
Mnenie [13.5K]

Answer:

1920 in³

Step-by-step explanation:

The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.

Since the water fills to exactly three inches below the top of the  aquarium, hence the height of the water in the aquarium is given as:

height of water = 13 in - 3 in = 10 in

Therefore the volume of the water in the tank is given by the formula:

Volume of water = height of water * breadth of tank * length of tank

Volume of water = 10 in * 8 in * 24 in = 1920 in³

6 0
3 years ago
What is the measure of angle b°?​
Tasya [4]

Answer:

b = 110°

Step-by-step explanation:

The sum of angles in a trapezoid is 360°

Summing the angles we get:

65°+55°+130°=250°

Then subtracting this value from 360° we get:

360°-250°=110°

Final answer of 110°

7 0
2 years ago
Read 2 more answers
NEED HELP ASAP!!!!!!!
Elan Coil [88]
I think the answer is C
3 0
3 years ago
Find the critical value of t for a sample size of 23 and a 99% confidence level. choose the correct value from below:
Kay [80]
We can find critical value by using t - table.
For using t - table we need degree of freedom and alpha either for two tailed test or one tailed test.
We can determine degree of freedom by subtracting sample size from one.
So in given question sample size is 23. So we can say degree of freedom(df) for sample size 23 is
df = 23 - 1= 22
Now we have to go on row for degree of freedom 22.

After that we need to find alpha either for two tailed test or one tailedl test.
Confidence level is 99%. We can convert it into decimal as 0.99.

So alpha for two tailed test is 100 - 0.99 = 0.01

Alpha for one tailed test is 0.01/2 = 0.005.

So we will go on column for 0.01 for two tailed test alpha or 0.005 for one tailed test alpha.
 SO the critical value 22 degree of freedom and 0.01 two tailed alpha is 2.819 from t - table.

8 0
3 years ago
write as an expression: a number that is equal to five less than b please show the working out if you can, thanks! >3
Minchanka [31]
"<span>a number that is equal to five less than b"

</span>n-a number

n = b - 5

3 0
3 years ago
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