Answer:
The correct answer is B
Step-by-step explanation:
If we plug in x=10 to the equation, we get y=47
Since y is positive, A is not an counterexample
Since y is a function of x, C is not an counterexample
Since the graph of y is a parabola, D is not an counterexample
Hope this helped and mark as brainliest!
A. x <= -12
<u>Explanation:</u>
-3x >= 36
-x >= 36/ 3
-x > = 12
x < = -12
When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.
Therefore, x <= -12
{ x + 4y = 22 ( + x - x = 0 )
{ - x + 5y = 23
4y + 5y = 22 + 23
9y = 45
y =<u> 45 </u>
9
y = 5
x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2
S = { 2 , 5 }
Easy peasy
just use PEMDAS and some exonential laws
also another is
![x^{\frac{m}{n}}=\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20)
so
![[3(2a)^{\frac{3}{2}}]^{2}](https://tex.z-dn.net/?f=%20%5B3%282a%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D%5E%7B2%7D%20)
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We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
