Answer:
f(- 3) = g(- 3)
Step-by-step explanation:
f(x) and g(x) are equal at the point of intersection.
When x = - 3 , f(- 3) = - 4 and g(- 3) = - 4
Thus
f(- 3) = g(- 3)
Answer: x = 8
Each angle is 120 degrees
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Explanation:
The top and bottom angles are vertical angles, so they are congruent to each other. This means they are the same measure.
14x+8 = 4x+88
14x+8-8 = 4x+88-8 ... subtract 8 from both sides
14x = 4x+80
14x-4x = 4x+80-4x ... subtract 4x from both sides
10x = 80
10x/10 = 80/10 ... divide both sides by 10
x = 8
Once you know x, you can figure out each angle
top angle = 4x+88 = 4*8+88 = 120 degrees
botom angle = 14x+8 = 14*8+8 = 120 degrees
Both angles are 120 degrees so this helps confirm we have the proper x value
The answer is Ms Hernandez can bring up to 6 people to the zoo.
x - <span> the number of people that she can bring to the zoo
</span><span>The parking will cost $7: a = 7
</span><span>Admission tickets will cost $15.50 per person: b = 15.50x
She can spend on parking and admission tickets </span><span>$100:
a + b </span>≤<span> 100
a = 7
b = 15.50x
7 + 15.50x </span>≤<span> 100
15.50x </span>≤<span> 100 - 7
15.50x </span>≤<span> 93
x </span>≤<span> 93 / 15.50
x </span>≤ 6
Answer:
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