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3 years ago

Axis of symmetry of h=-16t^2+20t+6

Mathematics

1 answer:

eimsori [14]3 years ago

7 0

Answer:

t = $\frac{5}{8}$

Step-by-step explanation:

Given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the axis of symmetry is

x = - $\frac{b}{2a}$

h = - 16t² + 20t + 6 is in standard form

with a = - 16 and b = 20, hence

t = - $\frac{20}{-32}$ = $\frac{5}{8}$ ← axis of symmetry

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3 years ago

Read 2 more answers

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

STatiana [176]

Answer:

24761 mosquitoes

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Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

$A=P(1+r)^x$

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r = rate of increasing per day,

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A = 1900 when x = 1,

$1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9$

Thus, the required function that represents the population after x days,

$A=1900(1+0.9)^x=1900(1.9)^x$

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$A=1900(1.9)^4 = 24760.99\approx 24761$

If A = 60,000,

$60000 = 1900(1.9)^x$

$\frac{600}{19}=1.9^x$

Taking log both sides,

$\log(\frac{600}{19})=x\log 1.9$

$\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4$

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3 years ago

If 9 : x = x:4, then x = _____. 36 18 24 6

borishaifa [10]

Solution: 9:x = x:4

⇛9/x = x/4

By doing cross multiplication, we get

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⇛x = √(6*6)

∴ x = 6 Ans.

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2 years ago

Axis of symmetry of h=-16t^2+20t+6​

Axis of symmetry of h=-16t^2+20t+6