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andrew-mc [135]
3 years ago
8

(Score for Question 4 of 6 points)

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:

a) On Desmos.

b)The solution set {-2,-2}

Step-by-step explanation:

For drawing a line on graph we require minimum two points.

we have,

y=2x+2

Put x = 0,we get

y = 2

∴ Let A (0,2)

Similarly

Put y = 0 we get

x = -1

∴ Let B (-1,0)

Now Draw  line AB

For y = -2

It is the line parallel to X axis where Y value is always -2

Now , by drawing these two lines we will get the intersecting point, and this intersecting point is the solution to the system. Let the point be C (-2,-2)

Here we substitute y= -2 in y = 2x + 2 we get

-2 = 2x +2\\2x=-4\\x=-2\\\therefore (-2,-2)

The solution is {-2,-2}

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You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
goldfiish [28.3K]
Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
4 0
3 years ago
Find the volume of the cylinder. Give you answers both in terms of π and rounded to the nearest tenth.
Ugo [173]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Height = 19 cm

Since the base area is 24π cm², we would determine its radius by applying the formula,

Area of circle = πr²

24π = πr²

r² = 24

r = √24

Therefore,

Volume of cylinder = π × (√24)² × 19 = 456π cm³

It is approximately

456 × 3.14 = 1431.8 cm³

3 0
3 years ago
Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
3 years ago
A 6 sided die was rolled 9 times. What is the mode of these rolls?
yuradex [85]
That 1,2,3,4,5,6 is one the die and it has a chance to at least get all the numbers at least once but u dont have enough data so i can help u more.
6 0
2 years ago
Help with this question plz
solmaris [256]

Answer:

804.2 meters³

Step-by-step explanation:

To find the volume of a cylinder, you multiply the height by the area of the base (which is πr²), so the equation is <em>V = hπr²</em>.

We can plug in out givens: <em>V = 16*π*4²</em>. Simplifying this gives us <em>V = 256 π meters³</em> which is approximately 804.2 meters³.

4 0
3 years ago
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