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san4es73 [151]
2 years ago
9

Thre graph of a polynomial f(x)=(2x-3)(x-4)(x+3) has x-intercepts at 3 x values. what are they?

Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

3/2, 4 and -3.

Step-by-step explanation:

f(x)=(2x-3)(x-4)(x+3) = 0 at the x-intercepts.

So 2x-3 = 0, so x = 3/2

x-4=0, so x = 4

x+3=0, so x=- 3.

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Batman can clean up all of the crime in Gotham City in 8 hours working alone. Robin can do the same job alone in 12 hours. If Ro
scoray [572]
<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

\texttt{Rate of batman,}r_b=\frac{W}{8}

Robin can do the same job alone in 12 hours.

\texttt{Rate of Robin,}r_r=\frac{W}{12}

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

So

                             t\times \frac{W}{8}+(t+2)\times \frac{W}{12}=W\\\\12t+8t+16=96\\\\20t=80\\\\t=4hours

After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM +  4 hours =  2:00 PM

The crime gets cleaned up at 2:00 PM

4 0
3 years ago
1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides
salantis [7]

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

3 0
1 year ago
A football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table. Runn
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Answer:

Step-by-step explanation:

-3 +2 +-1 +-2 +-3 +1 = -6 yards total

-6 / 6 =  -1 yard per play average

4 0
1 year ago
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Answer:

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Step-by-step explanation:

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