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OlgaM077 [116]
3 years ago
7

H (t) = -16t^2 + 144

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

-16 (t+3) (t-3)

Step-by-step explanation:

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Meg rowed her boat upstream a distance of 45 mi and then rowed back to the starting point. The total time of the trip was 14 hou
Montano1993 [528]
Recall your d = rt.

so hmm is about the same as the other one... so say the boat has a speed rate of "b", well, going downstream the boat goes say " b + 2 ", because the current is adding to it, and going upstream is " b - 2 " because the current is eroding from it.

So if the whole trip took 14 hours, say it took "t" hours going upstream, then going downstream it took the slack or " 14 - t ".

Also notice, the trip forth and back is the same 45 miles.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&45&b-2&t\\
Downstream&45&b+2&14-t
\end{array}
\\\\\\
\begin{cases}
45=t(b-2)\implies \frac{45}{b-2}=\boxed{t}\\\\
45=(b+2)(14-t)\\
----------\\
45=(b+2)\left( 14- \boxed{\frac{45}{b-2}}\right)
\end{cases}
\\\\\\
\cfrac{45}{b+2}=14- {\cfrac{45}{b-2}}\implies \cfrac{45}{b+2}=\cfrac{14(b-2)~-~45}{b-2}

\bf \cfrac{45}{b+2}=\cfrac{14b-28-45}{b-2}\implies \cfrac{45}{b+2}=\cfrac{14b-73}{b-2}
\\\\\\
45(b-2)=(b+2)(14b-73)\implies 45b-90=14b^2-45b-146
\\\\\\
0=14b^2-90b-56\implies 0=7b^2-45b-28
\\\\\\
0=(7b+4)(b-7)\implies b=
\begin{cases}
-\frac{4}{7}\\\\
\boxed{7}
\end{cases}
6 0
3 years ago
Six million and five thousandths
noname [10]

Answer:

6,000,000.005

Step-by-step explanation:

The correct answer in [standard form] is  6,500,000

one million= 1,000,000

six million= 6,000,000

one thousandth= .001

five thousandth= .005

6,000,000.005

Word Form: Six million and five thousandth

5 0
3 years ago
Find the zeros of the function g(x) = 2x2 - 5x + 2.
sertanlavr [38]
G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)

= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)

g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0

x = 2 or x = 0.5
8 0
3 years ago
PLEASE HELP PLEASE PLEASE
vovikov84 [41]

The central angle is about 74.8426. Try using the website Omni to help you out. It contains an arc length calculator.

6 0
3 years ago
Read 2 more answers
Find the value of the unknown.2x+3y=6and 4x=6y+3
EastWind [94]

Step-by-step explanation:

2x + 3 y = 6 by 2

4x - 6y = 3

____________

4x+ 6 y = 12

4x - 6 y = 3

_____________

12 y = 9

y= 12/ 9 = 4 / 3

2X+ 3( 4 / 3 ) = 6

X = I

8 0
3 years ago
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