Answer:
(-2,2) see attached diagram
Step-by-step explanation:
see graph
It’s 18 for sure it’s pretty simple
Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
B.
Company 2 has a higher slope than of Company 1
Answer:
(3x + 2)(x-4)
Step-by-step explanation:
3x² - 10x - 8 = 0
(splitting the middle term)
3x² -12x + 2x -8 = 0
3x(x-4) + 2(x-4) = 0
(3x + 2)(x-4) = 0
(3x + 2)(x-4) is the correct answer (option a)