Answer:
y=x^2-9x+18
Step-by-step explanation:
If x1=3 and x2=6, then the equation for the zeroes would be (x-3)(x-6)=0, which can then be expanded to x^2-9x+18=0, making the function y=x^2-9x+18
Let the investment in first account be x and this account is earning 3% interest
So Interest on this account is 3% of x = 0.03x
So the investment in second account would be (7000-x) and this account is earning 7% interest
So the interest on this account is 7% of (7000-x) = 0.07*(7000-x)
Given that total interest for the year is $262
So we have
0.03x + 0.07(7000-x) = 262
0.03x - 0.07x + 0.07*7000 = 262
-0,04x + 490 = 262
-0.04x = 262-490
-0.04x = - 228
0.04x = 228x
x = 228/0.04
x = 5700
Therefore Investment in one account s 5700 and the investment in other account is 7000-5700 = 1300
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:
Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.
If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
I'm not sure if I'm correct x>9
Answer: CPCTC
Step-by-step explanation:
because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
By CPCT [Corresponding Part of congruent Triangle]
<h=<j
hope i helped
-lvr
