Answer:
D. 20 ÷ 6 − 4
E. 1/6(20 − 24)
F. (20−24) ÷ 6
Step-by-step explanation:
6(x + 4) = 20
6(x) + 6(4) = 20
6x + 24 = 20
- 24 - 24
6x = -4
/6 /6
x = -4/6 or x = -2/3
D. 20 ÷ 6 − 4
20/6 - 4
20/6 - 24/6
-4/6 = -2/3
E. 1/6(20 − 24)
1/6(-4)
-4/6 = -2/3
F. (20 − 24) ÷ 6
- 4 / 6
-4/6 = -2/3
Hope this helps!
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
![\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brr%7D%5Cmathbf%7Bx%7D%20%26%20%5Cmathbf%7By%7D%20%5C%5C-2%20%26%20-7%20%5C%5C-1%20%26%20-2%20%5C%5C0%20%26%203%20%5C%5C1%20%26%208%20%5C%5C2%20%26%2013%20%5C%5C%5Cend%7Barray%7D)
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
Answer:
The speed of aircraft is 600 mph.
Step-by-step explanation:
Given distance = 120 miles
Time for which jet flew : from 10:20 AM to 10:32 AM
Total duration for which jet flew = 10:32 - 10:20 = 12 minutes
(from 10 hours 32 minutes and 10 hours 20 minutes
10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)
here time is in minutes, we have to convert it in hours
we know
60 minutes = 1 hour
1 minutes = 1/60 hour
multiplying LHS and RHS by 12
1*12 minutes = (1/60) *12hour
12 minutes = (1/60) *12hour
12 minutes = 1/5 hours
We know
speed = distance / time
distance = 120 miles
time = 1/5 hours
speed = 120 miles/ (1/5 hours)
speed = 120 * 5 mph = 600 mph
The speed of aircraft is 600 mph.
Do rise/run and u should have your answer
Answer:
4%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 100 feet
μ is the population mean = 86 feet
σ is the population standard deviation = 8 feet
Hence,
x > 100 feet
z = (100 - 86)/8
z = 1.75
Probability value from Z-Table:
P(x<100) = 0.95994
P(x>100) = 1 - P(x<100) = 0.040059
Converting to Percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%