All categories

3 years ago

The product of 4 and the sum of a number and 12 is at most 16

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

    4(x + 12) ≤ 16
4(x) + 4(12) ≤ 16
   4x + 48 ≤ 16
   - 48 - 48
   4x ≤ 32
      4 4
   x ≤ 8

Solution Set: (8, ∞)

You might be interested in

If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13

Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0

2 years ago

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

Find the value of k

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0

3 years ago

Find the measurement indicated in the parallelogram

sp2606 [1]

Answer:

can't understand your question click a clear pic of your question

5 0

2 years ago

Jessica grows two types of tomato plants in her garden. For each type, she records the heights, in inches, of five plants.

Artyom0805 [142]

The answer is D
Type 1 Type 2 plants have somewhat similar height distributions

5 0

2 years ago

Read 2 more answers

The exterior angles of a triangle are 3y0, 4y0 and 5y0.

katovenus [111]

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

y=30 degrees

The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

3 0

3 years ago

Read 2 more answers