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Olegator [25]
3 years ago
12

Subtract 3y² + 4y—5 5y2 – 2y +1

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

Answer:2y^2-6y+6

Step-by-step explanation:

5y^2-2y+1-(3y^2+4y-5)

5y^2-2y+1-3y^2-4y+5

Collect like terms

5y^2-3y^2-2y-4y+1+5

2y^2-6y+6

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I’ll put you as brainliest
kari74 [83]

The law of an object moving with constant acceleration is

s(t)=s_0+v_0t+\dfrac{1}{2}at^2

Where s is space, t is time, s_0 is the initial position, v_0 is the initial velocity and a is the acceleration.

In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).

So, its law is

h(t)=100t-\dfrac{1}{2}gt^2

(I changed s for h since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).

The rocket hits the ground if its height is zero, so if we set h=0 we have

0=100t-\dfrac{1}{2}gt^2 \iff t(100-\dfrac{1}{2}gt)=0

Solving for t, we have either t=0, or

100-\dfrac{1}{2}gt=0 \iff 100=\dfrac{1}{2}gt \iff 200=gt \iff t=\dfrac{200}{g}

The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have

t=\dfrac{200}{g}\approx \dfrac{200}{32.2}\approx 6.21

3 0
3 years ago
Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common fir
RoseWind [281]

Answer:

linear with a common first difference of 2

Step-by-step explanation:

If this is linear, the common first difference, or slope, will be the same throughout the entire table.

The formula for slope is



For the first set of points, we have:

m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2

For the second set of points, we have:

m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2

For the third set of points, we have:

m = (12-4)/(4-0) = 8/4 = 2

The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2

Hope it helps

5 0
3 years ago
Read 2 more answers
Help with this please ..
abruzzese [7]

Answer:

the answer is 2.59x10^7

7 0
3 years ago
Find the diameter of the circle whose area is 2464 cm²<br>with explanation.​
stepan [7]

Answer:

d≈56.01cm

A Area

2464

cm²

Using the formulas

A=πr2

d=2r

Solving ford

d=2A

π=2·2464

π≈56.01127cm

Step-by-step explanation:

7 0
2 years ago
the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of
const2013 [10]

Answer:

<h2>          a₁₈ = - 31</h2>

Step-by-step explanation:

S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31

8 0
3 years ago
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