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diamong [38]
3 years ago
12

Last one i need help with these too

Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0
Welcome HAHHAHAHAHAHAHAHHAHAHAHAHHAHAHA

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What is measure of angle R? Enter your answer as a decimal, round only your final answer to the nearest hundredth.
victus00 [196]
Tan-1(8/15)=  28.07 degrees.
7 0
3 years ago
construct a polynomial function with the stated properties. third degree with zeros of -2,-1, and 3 and passes through the point
AfilCa [17]

Answer:

f(x) =  - (x + 2)(x + 1)(x - 3)

Step-by-step explanation:

Let f(x) be the 3rd degree polynomial function.

The roots of this function are:

x=-2, x=-1 and x=3.

The factored form is:

f(x) = a(x + 2)(x + 1)(x - 3)

This equation passes through (2,12)

This implies that;

a(2 + 2)(2+ 1)(2 - 3) = 12 \\  - 12a = 12 \\ a =  - 1

The polynomial function is

f(x) =  - (x + 2)(x + 1)(x - 3)

3 0
3 years ago
X S2.0.2
dexar [7]

9514 1404 393

Answer:

  • 320 m after 8 seconds
  • 5.6 seconds, 10.4 seconds to height of 290 m

Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

  S(t) = -5t^2 +80t

  S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

__

To find the time to 290 meters height, solve ...

  S(t) = 290

  290 = -5t^2 +80t

  -58 = t^2 -16t . . . . . . . divide by -5

  6 = t^2 -16t +64 . . . . . complete the square by adding 64

  ±√6 = t -8 . . . . . . . . . take the square root

  t = 8 ±√6 ≈ {5.551, 10.449}

The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.

8 0
2 years ago
Solve <br> 2(x+3)=5(x-4) in pair of equation
irina1246 [14]

Answer:

See below.

Step-by-step explanation:

2( x+3) = 5(x-4)

2x + 6 = 5x - 20

2x - 5x = -20 - 6

-3x = -26

x = 8\frac{2}{3}

6 0
3 years ago
63 POINT!!!!! GUYS, I NEED HELP WITH PLSSSSS NO CHEAT THANK YOU!!
nikdorinn [45]

Answer:

  236

Step-by-step explanation:

We assume the cost is a linear function of the number of lessons. That means the slope is the same everywhere.

Let (lessons, cost) = (x, y). We have (4, 84), (8, 160), (12, y3).

  (y2 -y1)/(x2 -x1) = (y3 -y2)/(x3 -x2)

  (160 -84)/(8 -4) = (y3 -160)/(12 -8)

  76 = y3 -160

  y3 = 160 +76 = 236

The cost will be $236 for 12 lessons.

__

The cost function is ...

  y = 19x +8 . . . . for x lessons

6 0
2 years ago
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