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Sergio039 [100]
3 years ago
6

Y = 3x^2+20 when x = 21

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

y=1343

Step-by-step explanation:

when you plug in 21 for x the equation would be 3(21)^2+20 solve using the order of operations and you get 1343

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B. causal relationships between two variables

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Find the slope of a line that passes through the points (17,2) and (17,-3)
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Answer:

Undefined

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(17-17)

m=-5/0

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37<br> 35<br> Х<br> x = <br><br> What’s the answer?
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12

Step-by-step explanation:

use Pythagorean theorem

37^2 = 35^2 + x^2

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Use compatible numbers to estimate the quotient.<br> 486/6
Sladkaya [172]
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8 0
4 years ago
Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
4 years ago
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