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raketka [301]
3 years ago
11

1. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

1) -184

2) 13(m^{4}) ^{2}-3(m^{4})+4

Step-by-step explanation:

For problem number 1, Let's start by substituting all the x's for -3

So the equation will look like

p(-3)=4(-3)^{3}-5(-3)^{2}+7(-3)-10

Now, lets simplify by solving the exponents

First we'll do -3^{3} which equals -27

Now we'll do -3^{2} which equals 9

So now our equation looks like

p(-3)=4(-27)-5(9)+7(-3)-10

Now, we are going to multiply all these numbers

First 4(-27) which equals -108

Now -5(9) which equals -45

And finally 7(-3) which equals -21

Now our equation looks like

p(-3)= -108-45-21-10

Now we can solve

-108-45-21-10=-184

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Step-by-step explanation:

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ELEN [110]

Answer:

The unit rate in minutes per miles be 8.02 minutes per miles .

Step-by-step explanation:

Step 1. 26.2 miles/ 210 mins  = x miles / 1min

1 * 26.2 / 210 = .12 miles / min

Step 2. 26.2. 0.13

÷210.

210. 1

(The amount miles ran in 1 minute is 0.13 miles.)

Step 3. 26.2/210= .125 miles per minute

210/26.2= 8.02 minutes per mile

Step 4. 1) Cross multiply. (26.2 = 210x)

2) Divide 210 from each side. (26.2/210 = .1247619048  ,  210x/210 = x)

3) Round to the nearest 100th. (.12)

4) X=.12

5) .12 miles ran per minute

6 0
2 years ago
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0
3 years ago
A chef uses 8 1/2 cups flour for his gig nine 3/4 cup flour for his pies and 25 2/3 cups flour for his bread will he have any fl
katen-ka-za [31]

Answer:

50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12

Step-by-step explanation:

To do this without a calculator you need to get common denominator

a good choice would be 12 for the common denominator

50 x 12 = 600

25 x 12 = 300

convert to 2/3 to x/12, multiply top and bottom by 4

2/3 x 4 = 8/12

add this to the 300 to get 308/12

same with the other terms

9 x 12 = 108

convert 3/4 to x/12, multiply top and bottom by 3

3/4 x 3 = 9/12

add this to the 108 to get 117/12

and do the same for the 8 1/2

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convert 1/2 to x/12, multiply top and bottom by 6

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do the subtraction and simplify

8 0
3 years ago
What is the area of the shaded region?
Mekhanik [1.2K]

9514 1404 393

Answer:

  434 -49π ≈ 280.1 cm²

Step-by-step explanation:

The shaded area is the difference between the enclosing rectangle area and the circle area.

The rectangle is 14 cm high and 31 cm wide, so has an area of ...

  A = WH

  A = (31 cm)(14 cm) = 434 cm²

The circle area is given by ...

  A = πr²

  A = π(7 cm)² = 49π cm²

__

The shaded area is the difference of these, so is ...

  shaded area = rectangle - circle

  = (434 - 49π) cm² ≈ 280.1 cm²

4 0
2 years ago
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