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larisa86 [58]
3 years ago
15

Can someone help me solve this ?

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

5x {}^{2}  + 6x - 3 + 4x {}^{2}  - 8x + 2 =
= 9x {}^{2}  - 2x - 1
In the original expression there are 6 terms in the simplyfied one there are only 3

In the simplified expression coefficient of x is (-2)







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A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find th
kkurt [141]

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

8 0
3 years ago
dollars of a Class party is 59 + 13 in where in is the number of people attending what is the cost for 44 people
Alina [70]
Plug in 44
so
59+13(44) = 631
7 0
3 years ago
To hire a bicycle it costs $6 for each day plus a fixed charge of $15
shusha [124]

Answer:

4 days

Step-by-step explanation:

1) Derive a formula.

Let b = bicycle

Let x = the number of days

A set up equation: b = 6x + 15

2) If she pays 39 to hire a bicycle, substitute 39 into b, then solve for x.

39 = 6x + 15

39 - 15 = 6x

24 = 6x

24/6 = x

4 = x

x = 4

Since x is the number of days, she hired the bicycle for 4 days.

4 0
2 years ago
The 3 by 3 grid below shows nine 1 cm × 1 cm squares and uses 24 cm of wire. What length of wire is required for a similar 20 by
Nady [450]

Answer:

840

Step-by-step explanation:

Hi there!

Usually, this kind of problem asks us the perimeter rather than the area. But when talking on this grid on how many cms are necessary to construct one made up of 9 squares 1cm x1 cm. We need to check one thing: Some line segments will be used twice. So this is not a classical perimeter question.

1) So we either manually and carefully count it avoiding not doing it twice the same common line segments.

Or.

2) By just applying an algorithm, Where n is the <em>nxn</em> grid

n(n+1)+n(n+1)=Length \:of \:the \:wire

So, for the 20x20 grid

20(20+1)+20(20+1)=length\\\\20(21)+20(21)=length\\length=840 cm

5 0
3 years ago
Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x2 + x + 7. Use the formula
Kobotan [32]
V \\ = 2x \times {4x}^{2} \times ({2x}^{2} + x + 7) \\ = {8x}^{3} ( {2x}^{2} + x + 7) \\ = {16x}^{5} + {8x}^{4} + {56x}^{3}

Answer is the last option.

Hope this helps. - M
6 0
3 years ago
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