3x + 2y = 10 ....multiply by -4
12x + 5y = 25
-------------------
-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
Answer:
f(0) = g(0)
Step-by-step explanation:
- if a function h(x) passes through [a,b] then it can be said that h(a)=b.
- given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
- f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
- so, first option is correct.
Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3, 
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x + + z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3
+ 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
4.50x = 900
x = 200
Teens (y):
y = 
= 
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
Answer:
x=72
y=54
Step-by-step explanation:
1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)
There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72
2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.
y still equals 54
