If g=guppy, go=goldfish, b=bettafish and a=angelfish we can set up expressions for each set of fish.
1g=3go
1go=2b
1b=2a
By working backwards and substituting we can finally work out 1 guppy to be equal to 12 angelfish.
-3x - 4y = 2
<u>8y</u> = <u>-6x - 4</u>
8 8
y = -0.75x - 0.5
-3x - 4(-0.75x - 0.5) = 2
-3x + 3x + 2 = 2
0x + 2 = 2
<u> - 2 - 2</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-3(0) - 4y = 2
0 - 4y = 2
<u>- 0 - 0</u>
<u>-4y</u> = <u>2</u>
-4 -4
y = 0.5
(x, y) = (0, 0.5)
The answers are:
__________________________
[B]: "√12 " ; AND:
__________________________
[D]: "<span>√20" .
__________________________
Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A) "</span><span>√9" = 3 . Rule out this choice.
__________________________________
Choice C) "</span><span>√16" = 4 . Rule out this choice.
__________________________________
Choice E) "</span><span>√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.
Y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10
The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.
In this case, the 5 is the slope.
Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is
y = 5x + b
We need to find what b is.
We can use the given point, (3, 10), in for x and y and solve for b.
10 = 5 * 3 + b
10 = 15 + b
-5 = b
Now that we know that b = -5, we replace b with -5 to get our equation
y = 5x - 5
Hello!
To find the value of of g(2) - f(0), we need to substitute "2" into g(x), and "0" into f(x).
This is how it would look after substituting: f(0) = 2(0) - 5 and g(2) = |-3(2) - 1|. Also, since the expression says we are subtracting f(x), the entire equation becomes negative: -f(0) = -(2(0) - 5).
With that, we can solve for the final value.
|-3(2) - 1| + -(2(0) - 5) (multiply)
|-6 - 1| + -(0 - 5) (use the distributive property)
|-6 - 1| + 5 (simplify)
|-7| + 5 (simplify the absolute value of -7)
7 + 5 = 12
Therefore, g(2) - f(0) is equal to 12.
