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Dovator [93]
3 years ago
10

What is the range of the function

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Answer: Choice B

Range = {-3, 1, 5}

============================================

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

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

Start with x = -3

f(x) = 2x+3

f(-3) = 2(-3)+3

f(-3) = -6+3

f(-3) = -3

So -3 is in the range.

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

Move onto x = -1

f(x) = 2x+3

f(-1) = 2(-1)+3

f(-1) = -2+3

f(-1) = 1

1 is also in the range

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

Finally plug in x = 1

f(x) = 2x+3

f(1) = 2(1)+3

f(1) = 2+3

f(1) = 5

The value 5 is the final value in the range.

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

All of those values form the set {-3, 1, 5} which is the complete range.

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I need help with these questions<br> For 21)<br> A:y=x+4<br> B:y=2x<br> C:2x+2<br> D:2/3x+1
gtnhenbr [62]
19.
Option (B) is the correct one.

Explanation:

The equation of line be is ,
y = 2x-4,

we have general equation give by,
y = mx +c

wherr m is the slope of the line and x and y are the coordinates changing,

Comparing these two we get the slop of line B as 2.

A thing you need to know here that product of slopes of a line perpendicular to another is -1.
Using this relation,

The slope of line a will be -1/2.

Let A pass through a coordinate (x,y).

Now,

Slope will be give by,
\frac{y - 1}{x +2} = - \frac{1}{2} \\ y - 1= - \frac{x}{2} - 1 \\ y = - \frac{x}{2}

20.
Option (A) is the correct one.

How?:

Equation of line B is y = 3x-1.

Once again using the general equation for a line,
y =mx+c
Slope of B will be 3.

Now for a pair of parallel lines their slopes are equal.

So,
Slope of A must also be 3.

Applying the generation equation for a line on A gives,

y = 3x+c

Since A is passing though coordinates (2,4) the values must satisfy this equation,

So we have,

4 = 2(3) + c \\ c = 4 - 6 = - 2
Now that we have value for c.
We can get the the equation we need.
So we have,

y = 3x -2.

Hope it helps.
5 0
4 years ago
(03.09)
Sedaia [141]
Point 1, f(x) -4 (x-3) 2+1
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3 years ago
As a centerpiece for her design, Hevesh build a tower 72 inches tall made of dominoes that are 2 2/5 inches tall. How many rows
kondor19780726 [428]

Answer:

72 divided by 2 2/5 (or 2.4) = 30 in a row

6 0
3 years ago
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Sedaia [141]

Answer:

3b \geq -22

Step-by-step explanation:

Product of of 3 and b is 3b

At least means greater than or equal too.

3b \geq -22

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3 years ago
Find the perimeter of △CDE. Round your answer to the nearest hundredth. The perimeter is about units.
Troyanec [42]

Answer: 9.66\ units

Step-by-step explanation:

The triangle CDE is shown in the image attached.

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Then, we can calculate the lenght of each side of the triangle:

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Therefore, the perimeter is:

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8 0
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