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Elodia [21]
2 years ago
9

F(x)=4x squared −7x+7, Find f(2)

Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

Answer: 9

Step-by-step explanation:

4x²-7x+7   f(2)=4*(2)^2-7(2)+7=16-14+7=9

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A car driving on a straight track accelerates at a rate of 3.2 m/s2 for 14 s. If the initial velocity of the car was 5.1 m/s, an
liraira [26]

Answer:

The data we have is:

The acceleration is 3.2 m/s^2 for 14 seconds

Initial velocity = 5.1 m/s

initial position = 0m

Then:

A(t) = 3.2m/s^2

To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.

V(t) = (3.2m/s^2)*t + 5.1 m/s

To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)

P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t

Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.

P(14s) =   (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m

So the final position is 385 meters ahead the initial position.

6 0
3 years ago
I have a rectangle with a length of 7 cm and a perimeter of 38 cm. Find the area of the rectangle?
Alex17521 [72]

Answer:

area is 84

Step-by-step explanation:

perimeter is 38(p)

length (l) is 7cm

width is?(w)

p=2(l+w)

38=2(7+w)

38=14+2w

2w=38-14

2w=24

w=12

area=l*w

12*7

=84

8 0
2 years ago
The line m has a slope of 2/3.Which line described below is the only line that could be parallel to line m?
ANEK [815]

Answer:

Parallel lines have the same slope, so the one with the same slope.

7 0
3 years ago
Solve the following:<br>a) 2(5x – 3) = 24<br>b) 5(2x + 1) = 50​
likoan [24]

Answer:

x = 3 and x = \frac{9}{2}

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = \frac{9}{2}

3 0
2 years ago
Complete the table. Thanks in advance
marta [7]

Answer:

20%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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