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Juliette [100K]
3 years ago
10

Subtract the polynomials using the vertical format. 3x^2 + x + 4 from 6x^2 − x − 3

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

3x^2-2x-7

Step-by-step explanation:

(6x^2-x-3)-(3x^2+x+4)

6x^2-3x^2-x-x-3-4

3x^2-2x-7

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A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.
makvit [3.9K]
Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car and the observer.

(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
8 0
3 years ago
Please help!! Thanks
Troyanec [42]
X=3

X/-3 = -1 ,Leave X by itself so multiply by -3 on both sides.

X = -1*-3

X = 3, negative times negative equals positive.
6 0
3 years ago
Read 2 more answers
Ratio of 25cm to 40cm<br>​
BARSIC [14]

5:8

is the ratio .he she and shd

6 0
3 years ago
Dy/dx = y/x , y(1) = −2
s2008m [1.1K]

Start with

\dfrac{dy}{dx}=\dfrac{y}{x}

Separate the variables:

\dfrac{dy}{y} = \dfrac{dx}{x}

Integrate both parts:

\displaystyle \int \dfrac{dy}{y} = \int\dfrac{dx}{x}

Which implies

\log(y) = \log(x)+c

Solving for y:

y = e^{\log(x)+c} = e^{\log(x)}e^c=xe^c

Since e^c is itself a constant, let's rename it c_1.

Fix the additive constant imposing the condition:

y(1) = c_1\cdot 1 = -2\iff c_1=-2

So, the solution is

y(x) = -2x

5 0
3 years ago
Manny bought a brand new car in 2012 for $28,750. If the car depreciates by 12% each year, write an exponential function to mode
patriot [66]
The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13
5 0
3 years ago
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