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Blizzard [7]
2 years ago
5

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

a) x(x-2)

b) 6x(2x+2)

dont know c and d sorry

Step-by-step explanation:

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Exploring the graph of y equals cosine Theta​
irga5000 [103]

Answer:  see below

<u>Step-by-step explanation:</u>

The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x

Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.

Quadrangles are: 0°, 90°, 180°, 270°, 360°  <em>(360° = 0°)</em>

Together, the coordinates will be as follow:

\boxed{\begin{array}{c||c|c||c}\underline{(cos,sin)}&\underline{x=angle}&\underline{y=cosx}&\underline{\quad (x,y)\quad}\\(1,0)&0^o&1&(0^o,1)\\(0,1)&90^o&0&(90^o,0)\\(-1,0)&180^o&-1&(180^o,-1)\\(0,-1)&270^o&0&(270^o,0)\\(1,0)&360^o&1&(360^o,1)\end{array}}

8 0
2 years ago
five friends went out to dinner. each paid 13.75 for the meal including a 7 percent sales tax. what was the total cost of meal b
Sphinxa [80]

Answer:


Step-by-step explanation:

86

8 0
2 years ago
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
3 years ago
Which of the following word problems can be solved using the equation 4(x + 8) = 40?
Black_prince [1.1K]

Answer:

the answer is a because ots increased by 8 inches

3 0
3 years ago
What is the error in the proof? The error is in step 3. The reason should be the quotient property of exponents. The error is in
galina1969 [7]

Answer:

The error is in step 3. You cannot use a property of logarithms to prove that same property.

Step-by-step explanation:

Here we  the proof of the quotient rule as

If Logₐx = M and Logₐy = N

Then x = a^M and y = a^N

x ÷ y = a^M ÷  a^N = a^{(M-N)}

Take log of both sides we get

Logₐ(x÷y) = Logₐa^{(M-N)}

Logₐ(x÷y) =M-N logₐa

Logₐ(x÷y) =M-N

∴Logₐ(x÷y) = Logₐx - Logₐy

5 0
3 years ago
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