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3 years ago

Please help!!!!!!!!!

Mathematics

1 answer:

viva [34]3 years ago

4 0

Answer:

1. Which of the following is NOT a linear function?

B. y^2= 2x-4

2. Which best describes the linear equation y=0?

C. It is the equation of the x-axis

3. What is the slope of the line described by the equation 6x-9y= 15?

C. 2/3

4. Consider the table below which shows the cost of mailing a 1-ounce letter in different years via the US Postal Service. During which time period was the rate of change in the cost the least?

A. 1988-1990

5. What is the slope of the line graphed below?

D. 1/2

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Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. $y'=(3\sin x)'=3\cos x$ . Differentiate again to get $y''=(3\cos x)'=-3\sin x$ , then $y''+y=-3\sin x+3\sin x=0\neq 3\sin x$ so this choice of y doesn't solve the equation.

B. $y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x$ and $y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x$ , then $y''+y=10\sin x+6\cos x\neq 3\sin x$ so y is not a solution

C. $y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x$ hence $y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x$ . Then $y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x$ so y is a solution.

D. $y'=-3\sin x$ and $y''=-3\cos x$ , then $y''+y=0$ thus y isn't a solution

E. $y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x$ hence $y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x$ . Then $y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x$ then y is not a solution.

3 0

3 years ago

Find the values of a and b

lisabon 2012 [21]

Answer:

a = 115, b = 71

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezium.

Using a property of trapeziums

• each lower base angle is supplementary to the upper base angle on the same side.

a = 180 - 65 = 115

b = 180 - 109 = 71

5 0

3 years ago

Read 2 more answers

Can someone answer this for me please

Marianna [84]

Answer:

36 Seconds

Step-by-step explanation:

3 x 12 equals 36

4 x 9 equals 36

what we do is find a least common multiple for both the numbers

hope this helps, if it does, can i have brainliest?

6 0

3 years ago

What is the value of X?

rodikova [14]

Answer:

102

Step-by-step explanation:

triangle area = 180 degrees

straight line = 180 degrees

180 - 127 = 53

49 + 53 + 3rd angle = 180

3rd angle = 78

180-78 = x

x = 102

4 0

3 years ago

There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisc

mel-nik [20]

Answer:

1500km

Step-by-step explanation:

1cm=100km

15•100=1500km

8 0

3 years ago