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3 years ago

Given h(x) = -3x + 2, solve for x when h(x) = -4.

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

Answer:

Step-by-step explanation:

3x / 2

5x/9 + 10

6x - 4

x = 3y + 8

Associative Pr

of addition

3H + 4D + 5C = 85

(6 + t) / 3x

n + 7 <= 13

1 =< x <= 10

x = 6 or x = 1

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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

Which measurements are equivalent to 3 yards

timofeeve [1]

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

6 0

1 year ago

In how many ways 5 players be assigned to 5 positions on a baseball team, assuming that any player can play any position

Greeley [361]

Answer:

120

Step-by-step explanation:

There are 5 ways to choose the first position, 4 ways to choose the second and so on until we get only 1 way to choose the last position, therefore the answer is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.

8 0

3 years ago

Sophia has $2 to buy oranges and apples. Oranges cost $0.45 each and apples cost $0.25 each. How many oranges and apples can she

SOVA2 [1]

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the number of oranges

y-----> the number of apples

we know that

The inequality that represent this situation is

$0.45x+0.25y\leq 2$

The solution is the shaded area below the solid line between the positive whole numbers values of x and y

using a graphing tool

see the attached figure

3 0

3 years ago

the first digit of two different numbers is in a hundred million place . both numbers contain the same digits . can you determin

netineya [11]

Yes. Since the first digit is the same look at the next digit, the second. Determine which of the second digits are larger. Although they use all the same digits, that does not mean that the digits are in the same order. The only digit that is clarified that is in the same spot is the first one, so you look at the next one

3 0

3 years ago

Read 2 more answers

Given h(x) = -3x + 2, solve for x when h(x) = -4.​

Given h(x) = -3x + 2, solve for x when h(x) = -4.