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Orlov [11]
3 years ago
14

Combine Like Terms: x^2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

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Solve the differential equation
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Answer:

f(x) = 3x^2+8

Step-by-step explanation:

We are given the first derivative of f(x) and the value of f(0).

To go from the first derivative to the original function, we integrate.

Therefore:

f(x) = \int {6x} \, dx

To integrate, we add 1 to the power and divide by the new power:

\int {6x} \, dx = \frac{6x^2}{2} =3x^2+C

Because we have an indefinite integral, we have to add the constant, c, to the end.

So: f(x) = 3x^2+C

We know f(0) so we can find the constant C.

f(0)=3(0)^2+C=8

C=8

Therefore f(x) = 3x^2+8

6 0
3 years ago
Read 2 more answers
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make
Jobisdone [24]
V_{1} = \frac{1}{3} * \pi * r^{2}* h= \frac{3.14* 24^{2} *6}{3} =3617.28 \\  V_{2} = \pi * r^{2}* h \\ 3617.28=3.14* 16^{2} *h \\ h= \frac{3617.28}{3.14* 16^{2}} =4.5
7 0
3 years ago
The length of a rectangular garden is 6 feet less than 3 times its width. the area is 360 square feet. what is the length of the
aleksandr82 [10.1K]
l = 3w-6
\\A = l*w
\\A = (3w-6)(w)
\\360 = (3w-6)(w)
\\ 360 = 3w^2 - 6w
\\ 0 = 3w^2-6w-360
\\ 3(w^2-2w-120) = 0
\\ 3(w+10)(w-12) = 0
\\ w = 12 
\\ 12*3 = 36 -6 = 30
\\ l = 30
6 0
4 years ago
Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster th
lakkis [162]

Answer:

6+6=12

9+9=18

12+18=30

30 dollars

3 0
3 years ago
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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni
IRINA_888 [86]
So18 is to 2 and54 is to 6
18:2 and 54:6
18/2 and 54/6
simplify
9/1 and 9/1
she is running at the same rate

so we need to do
t times something=k
its eems that she divided the time by 9
so
1/9t=k

the equation is 1/9t=k

3 0
4 years ago
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