MATHEMATICS HIGH SCHOOL

What is the domain of the square root function graphed below?

Answers

Answer 1

Answer:

we know that

the domain of the square root function graphed is equal to

the interval------> [3,∞)

the domain is all real numbers for $x\geq 3$

and

the range of the square root function graphed is equal to

the interval------> [1,∞)

the range is all real numbers for $f(x)\geq 1$

therefore

the answer is the option

$x\geq 3$

Answer 2

Answer:

Domain of a function which allows all values to be in it if for those values the function has defined output. The domain of the plotted function is $x \geq 3$

What is domain and range of a function?

Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.

Since in the given plot, the function starts from 3, and is defined for all values after 3, so it is has domain including 3, and all values after 3.

Thus, domain of given function is

$x = 3\nand\nx > 3$

This can be written in short form as $x \geq 3$

(remember that usually, input values are on x axis(horizontal axis), and output values of the function are on y axis (vertical axis)

Thus,

The domain of the plotted function is

Option D : $x \geq 3$

Learn more about domain of a function here:

brainly.com/question/26077568

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Subtract.(x + 1) - (-2x - 5)
A) 6 –x
B) -x - 4
C) 3x - 4
D) 3x + 6

Answers

(x + 1) - (-2x - 5)

Distribute the negative into the parenthesis

x + 1 + 2x + 5

Rearrange the terms

x + 2x + 1 + 5

Add like terms

3x + 6

Your answer is D.

Need help with all please??!!!!

Answers

9. $V = (√(3))/(2)a^(2)h$
$V = (√(3))/(2)(4)^(2)(8)$
$V = (√(3))/(2)(16)(8)$
$V = (√(3))/(2)(128)$
$V = (128√(3))/(2)$
$V = 64√(3)\ cm^(3)$
The answer is D.

10. V = ¹/₃πr²h
V = ¹/₃(3.14)(6)²(10)
V = ¹/₃(3.14)(36)(10)
V = ¹/₃(3.14)(360)
V = ¹/₃(1130.4)
V = 376.8 cm³
The answer is C.

11. V = ¹/₃πr²h
V = ¹/₃(3.14)(6)²(10)
V = ¹/₃(3.14)(36)(10)
V = ¹/₃(3.14)(360)
V = ¹/₃(1130.4)
V = 376.8 cm³
The answer is C.

12. V = 1¹/₃πr³
V = 1¹/₃(3.14)(3)³
V = 1¹/₃(3.14)(27)
V = 1¹/₃(84.78)
V = 113.04 cm³
The answer is C.

13. V = 1¹/₃πr³
V = 1¹/₃(3.14)(12)³
V = 1¹/₃(3.14)(1728)
V = 1¹/₃(5425.92)
V = 7234.56 cm³
The answer is A.

14. S = 4πr²
  324π = 4(3.14)(r)²
324(3.14) = 4(3.14r²)
1017.36 = 12.56r²
12.56 12.56
  81 = r²
  9 = r

V = 1¹/₃πr³
V = 1¹/₃(3.14)(9)³
V = 1¹/₃(3.14)(729)
V = 1¹/₃(2289.06)
V = 3052.08
The answer is D.

15. The answer is A.
16. The answer is A.
17. The answer is B.
18. The answer is C.

13. c
14. d
15. b
Sorry if I am not correct I'm only in 6th grade

What are numbers that have 24 as its multiple?

Answers

1, 2, 3, 4, 6, 8, 12,
............................

The numbers that have 24 as its multiple are 1, 2, 3, 4, 6, 8, 12, 24.

Hope this helps~

List the measurements of three different rectangular prisms that each have a surface areaof 20 square units?

Answers

Answer:

3 measurements of different rectangular prisms that each have a surface area

of 20 square units is given as

(4.5 × 1 × 1)

(2 × 1 × 2.67)

(2 × 3 × 0.80)

Step-by-step explanation:

A rectangular prism is a cuboid and the surface area of a cuboid with length, x, width, y and height, z, is given as

S = 2xy + 2yz + 2xz

S = 2[xy + yz + xz]

So, the question asks us to list 3 different measurements of a rectangular prism with surface area of 20 square units.

S = 2[xy + yz + xz] = 20

[xy + yz + xz] = 10

So, with a little of trial and error, we can vary the values of x, y and z to obtain 3 separate measurements that give a surface area of 20 square units.

[xy + yz + xz] = 10

Let x = 4.5, y = 1, z = 1

(4.5×1) + (1×1) + (4.5×1) = 10, works!!!

(x, y, z) = (4.5, 1, 1)

[xy + yz + xz] = 10

Again, we can fix arbitrary values for two sides and calculate for the last side.

If x = 2 units, y = 1 unit,

(2×1) + (1×z) + (2×z) = 10

2 + 3z = 10

3z = 8

z = (8/3) = 2.667 units

(x, y, z) = (2, 1, 2.67)

[xy + yz + xz] = 10

And lastly, if x = 2, y = 3

(2×3) + (3×z) + (2×z) = 10

6 + 5z = 10

5z = 4

z = (4/5) = 0.80 unit

(x, y, z) = (2, 3, 0.80)

Hope this Helps!!!

6. The equation of line A is 3x + 6y - 1 = 0. Give the equation of a line that passes through thepoint (5,1) that is

/1 a. Perpendicular to line A

Answer:

/1 b. Parallel to line A

Answer:

Answers

Step 1: Convert to slope-intercept form to find the slope of the line.

This isn't necessary if you know all the shortcuts, it just makes your life a bit easier.

$3x+6y-1=0\n6y=-3x+1\ny=-(3)/(6)x+(1)/(6)\n-(1)/(2)x+(1)/(6)$

Now we want to find the equations for our new lines. It's easiest to do this in slope-intercept form, so let's start finding the slope and y-intercept.

So for the perpendicular line, the slope is going to flip and change signs, this is aka its opposite reciprocal.
And for the parallel line, it'll stay the same.

$-(1)/(2)$ ⇒ $(2)/(1)=2$
$-(1)/(2)$ ⇒ $-(1)/(2)$

As for the y-intercept, just apply that slope until you get a point where x=0.

(5, 1) with a rise of 2 and a run of 1...let's work backwards to (0, b)
(5, 1), (4, -1), (3, -3), (2, -5), (1, -7), (0, -9).

(5, 1) with a rise of -1 and a run of 2...let's work backwards to (0, b)
(5, 1), (3, 0), (1, -1)...gonna have to take half a step here...(0, -1.5).

Now let's construct our equations in slope-intercept form.

$y = 2x-9\ny=-(1)/(2)x-(3)/(2)$

And now it's time to convert to general form!

Make sure we have common denominators...check.

Multiply by the denominator...

$y=2x-9\n2y=1x-3$

...check.

Aaaand bring everything over!

$\boxed{-2x+y-9=0}\n\boxed{-x+2y-3=0}$

which fraction is halfway between 1/2 and 5/6? A. 2/3 B. 4/3 C.3/5 D.7/12 And another question Arrange these numbers from least to greatest: -3/7, -5/6, -3/5, and -7/9 ?

Answers

1st Question:

1/6, 2/6, 3/6 = 1/2, 4/6, 5/6, 6/6.

Halfway between 1/2 and 5/6 is 4/6 = 2/3.

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2nd Question: Could've been worked out on a calculator.

-5/6, -7/9, -3/5, -3/7

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