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7nadin3 [17]
3 years ago
5

PLEASE HELP! Let f(x)= 6x+1 find f(a) + f(2)

Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

6(a)+14

Step-by-step explanation:

First you need to find f(a) and f(2) separately, then add them together after

f(a) = 6(a)+1

f(2) = 6(2)+1 = 12+1 = 13

so f(a)+f(2) = 6(a)+1+13 = 6(a)+14

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Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution
Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\

for y=e^{6x}:

y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\

Now we replace in the differential equation  y'' − y' − 30y = 0

for y=e^{-5x}:

25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0

for y=e^{6x}:

36e^{6x}-6e^{6x}-30=0\\36-6+30=0

Now, to know if both function are linearly independent we calculate the Wronskian

W(f,g)=fg'-f'g

W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0

I hope this is useful for you

Best regard

7 0
4 years ago
after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction
liq [111]

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

4 0
3 years ago
The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 for a concert ticket and
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58=12+2x
Subtract 12 from each side
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The cost of each pass is $23
3 0
4 years ago
Work out the angles marked with letters. Give reasons for each answer.
german
A. angel a is 50 bc since it is isosceles, the two ungiven angles equal the same (180-80=100, 100/2=50)
B. 180=28+28+b, 180=56+b, 124=b
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3 years ago
Is algebraic geometry just linear algebra?
sweet-ann [11.9K]

Answer:

Algebra is a language of symbols and operations to study the general properties of numbers. It is essential for solving many problems involving rates, costs, length, and weight. It is commonly considered to be one of the most important branches of mathematics and it has been extensively used in both pure and applied sciences.

Step-by-step explanation:

5 0
2 years ago
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