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2 years ago

1. The function, g, is graphed below. EXPLAIN how to find x, if g(x) = -1 in sufficient detail

Mathematics

1 answer:

konstantin123 [22]2 years ago

4 0

<h3>Answer: x = 1</h3>

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

Explanation:

Step 1) Start at -1 on the y axis.
Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
Step 3) Mark the point of intersection. Let's call it point A.
Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.

All of this is shown in the diagram below.

Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.

Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.

Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.

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The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?

Helga [31]

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

${(x - h)}^{2} + {(y - k) }^{2} = {r}^{2}$

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

${x}^{2} - 2x$

we can see that if use -1 as the constant we have

${(x - 1)}^{2} = {x}^{2} - 2x + 1$

doing the same for y

${y}^{2} - 4y$

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

${(y - 2)}^{2} = {y}^{2} - 4y + 4$

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

4 0

2 years ago

Pls Help thanks :)<br><br><br><br> ......

IgorC [24]

1. Given
2. Addition property
3. Division property

7 0

3 years ago

What is 1/4 times 2/4

boyakko [2]

1/4= 0.25
2/4= 1/2 = 0.5
0.25 x 0.5 = 0.125
0.125 = 1/8

8 0

3 years ago

-2w - 5w it wont let me submit it as=is so i am typing random things.

Fofino [41]

The answer would be -7w

8 0

3 years ago

The measurement, y, varies directly with regard to another value, x. If y = 9 and x = 24, find x for y = 25. 9.4 50 66.7

ale4655 [162]

Answer:

<u>The correct answer is C. 66.7</u>

Step-by-step explanation:

1. y varies directly with regard to x

y = 9 and x = 24

If y = 25, what is the value of x?

2. For finding that value of x, first of all, we should understand what happened to y.

If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division

25/9 = 2.777

3. And we should use that same number or value to calculate the new value of x

If x was 24, now the new value of x is 24 * 2.777

24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)

<u>The correct answer is C. 66.7</u>

4 0

3 years ago