The inequality that represents the amount of money Alex needs to earn is y = 11.50x and 9x + 100.
<h3>How to depict the information?</h3>
The slope and the y intercept of both of the works will be:
For the tech company:
y = 11.50x
m = 11.50
y = 11.50(8 × 20)
y = 11.50(160)
y = 1840
For the amusement park
amusement parky = 9x + 100
amusement parky = 9x + 100y = 9(320) + 100
y = 2880 + 100
y = 2980.
When he wants to make the exact amount, the number of hours will be:
9x + 100 = 2200
9x = 2200 - 100
9x = 2100
x = 233.3
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Answer:
wrong question i dont knowwwww
mark me brainlist
Step-by-step explanation:
Answer:=26.43
Step-by-step explanation:
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
<span>The y-intercept of is .
Of course, it is 3 less than , the y-intercept of .
Subtracting 3 does not change either the regions where the graph is increasing and decreasing, or the end behavior. It just translates the graph 3 units down.
It does not matter is the function is odd or even.
is the mirror image of stretched along the y-direction.
The y-intercept, the value of for , is</span><span>which is times the y-intercept of .</span><span>Because of the negative factor/mirror-like graph, the intervals where increases are the intervals where decreases, and vice versa.
The end behavior is similarly reversed.
If then .
If then .
If then .
The same goes for the other end, as tends to .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
Of course, if polynomial functions are understood to have a non-zero degree, never happens for a polynomial function.</span><span> </span>
