Answer:
(1 , 6)
Step-by-step explanation:
the center of the circle is the midpoint of the diameter
Which is the point of coordinates:
Then the center is the point :
Y=2x-1
y=-3x+14
First you would substitue one of the y's for the other so
2x-1=-3x+14
no you would solve for x...
add one on both sides
2x=-3x+15
now add 3x to both sides which becomes
5x=15
divide 5 on both sides which gives you x=3
now to solve for y plug into any one of the equations(doesn't matter which one) from before 3 for x and solve
y=2(3)-1
y=6-1
y=5
And that is you answer y=5
Answer:
g(x)=-8(3^x)
Step-by-step explanation:
Given: f(x)=3^x
Multiply by 8: f(x)=8(3^x)
Negate function: g(x)=-8(3^x)
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.
It should look like this: 8/100 (hint: per-cent means per-hundred).
Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.
Our proportional fractions are:
20/x = 8/100.
To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).
This product equation should look like this:
20 x 100 (when simplified, we get 2000).
Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).
This product equation should look like this:
8x.
Now that we've cross-multiplied, set our two products as an equation.
8x = 2000.
To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).
8x / 8 = x
2000 / 8 = 250.
x = 250
Your final answer is:
8% of 250 is 20.
I hope this helps!
