Which number from the set {3,5,6,8} makes this inequality true? 3x + 5 – 2x > 11

Mathematics

2 answers:

avanturin [10]3 years ago

4 0

Answer:

Step-by-step explanation:

3x + 5 – 2x > 11

Combine like terms

x +5 > 11

Subtract 5 from each side

x+5-5 > 11-5

x > 6

The only number in the set that is greater than 6 is 8

REY [17]3 years ago

3 0

The great 8>6 there we go

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Solve h = −16t2 + 36t + 4.

kvasek [131]

I can do each of the things I asked above.
So, let's change this into vertex form:
$h=-16t^2+36t+4$
$h=(-16t^2+36t)+4$
$h=-16(t^2-2.25t)+4$
$h=-16(t^2-2.25t+1.27-1.27)+4$
$h=-16(t^2-2.25t+1.27)+20.32+4$
$h=-16(t-1.125)^2+24.32$
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
$h = -16t^2 + 36t + 4$
$h = -4\left(4t^2-9t-1\right)$

Quadratic Formula:
$x = \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}$
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
$h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}$
$h = \frac{-36 +/- \sqrt{1552}}{-32}$
$h = ≈-0.11$
$h = ≈2.36$

5 0

3 years ago

What is negative 5 5/6–2 3/5

dangina [55]

Answer:

the answer is -8 13/30

Step-by-step explanation: