All categories

3 years ago

One-fourth of the sum of 6 and 2 times c exceeds 3.

1 answer:

4 0

1/4(6 + 2c) > 3
0.25 (6+ 2c) > 3
1.5 + 0.5c > 3
0.5c > 1.5
c > 3

Or multiply both sides by 4 to get rid of the 1/4,
6 + 2c > 12
2c > 6
c >3

You might be interested in

I need help plzz!! Just box number 4, TY

nydimaria [60]

12.36% I think sorry if its wrong ;-;

3 0

3 years ago

Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =

Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

y = C₁ + C₂cos 3x + C₃sin 3x

Given:

y(0) = 6

Thus, Applying in the above equation, we get

6 = C₁ + C₂ .......................................................1

Differentiating y , we get:

y' = -3C₂sin 3x + 3C₃cos 3x

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

9 = 3C₃

or,

C₃ = 3

Differentiating y' , we get:

y'' = -9C₂cos 3x - 9C₃sin 3x

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

18 = -9C₂

or,

C₂ = -2

Applying in equation 1 , we get:

C₁ = 8

Thus,

y(x) = 8 - 2cos 3x + 3sin 3x

4 0

3 years ago

The expression 1/2bh gives the area of a triangle with a base length of b and a height of h.

alexandr402 [8]

I think the answer is B

8 0

3 years ago

Use the area of the rectangle to find the area of the triangle. ?

Oksana_A [137]

Answer:

Step-by-step explanation:

rectangle: 5 × 10 = 50ft²

triangle: ½ × 10 × 5 = 5 × 5 = 25ft²

4 0

3 years ago

What is the common ratio for the geometric sequence 768,480,300,187.5

almond37 [142]

Answer:

the common ratio is 0.625 or if you prefer 5/8

Step-by-step explanation:

Every geometric sequence has a common ratio which is a constant and is the quotient of any term divided by the term preceding it. In this case:

r=480/768=300/480=187.5/300=0.625

5 0

3 years ago