Step-by-step explanation:
domain = {-7, -3, 1}
range ={-8, -5, 7, 8}
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer:
5 9/20
Step-by-step explanation:
4 7/10 + 6/8
Simplify the fractions by dividing the second top and bottom by 2
4 7/10 + 3/4
Getting a common denominator of 20
4 7/10 *2/2 + 3/4 * 5/5
4 14/20 + 15/20
4 29/20
4 + 20/20 + 9/20
4+1+9/20
5 9/20
X=4, y=28. 7x=2x+20, so subtract 2x from both sides and you’ll get 5x=20. Divide both sides by 5 and you’ll get x=4. Substitute this into the other equations and they will both equal 28.
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<span>(t) = 0 gives
</span><span>-24t + 60 = 0
</span><span>t = 2.5
</span><span>For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
</span><span>Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft</span>
