Using elimination method. Using substitution will cause some fraction problems.
c- child tickets
a- adult tickets
4a + 7c = $83
5a + 6c = $90
multiply by -5
-20a - 35c = -$415
20a + 24c = $360
-11c= -$55
c = $5 child tickets
4a + 7(5)= $83
4a + 35 = $83
4a = $48
a= $12 adult tickets
k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
The answer is 64!!
Hope this helps!
One sub costs $4.5 and one cookie costs $0.75 or 75 cents
Step-by-step explanation:
Let s be the cost of one sub
and
c be the cost of one cookie
Then according to given statements
"The cost of 3 subs and 7 cookies is $18.75"

"Five subs and 21 cookies cost $38.25"

Multiplying eqn 1 by 3

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 4

Putting s=4.5 in Eqn 1

Dividing both sides by 7

So,
One sub costs $4.5 and one cookie costs $0.75 or 75 cents
Keywords: Linear Equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
? = < = less than
Step-by-step explanation:
2.8 x 10 is 28
26 x 100 is 2600