Answer:
B, C and E
Step-by-step explanation:
A) 4x + 15 < -21
4x < -36
x < -9
=> No
B) -5/3x + 17/3 < 9
-5x + 17 < 27
-5x < 10
x > -2
=> Yes
C) 1/4x - 16 > -18
1/4x > -2
x > -8
=> Yes
D) -3/2x - 11/4 ≥ 31/4
-3/2x ≥ 42/4
-3/2x ≥ 21/2
x ≤ -7
=> No
E) -8/3x + 5 ≤ 9
-8/3x ≤ 4
x ≥ -4 x 3/8
x ≥ -3/2
=> Yes
Answer:
y <
Step-by-step explanation:
We will find the equation of the dotted line first.
Let the equation of the line is,
y = mx + b
Here, m = slope and b = y-intercept of the line
Slope 'm' =
m =
m =
Y-intercept 'b' = -3
Therefore, equation of the line is,
y =
Since, this line is a dotted line, it will represent an inequality with notation of less than or greater than (< or >)
Since, solution area (shaded area) of this inequality is below the line inequality will be,
y <
Let me walk you through this real quick:
-4x + 9 (10x - 1)
-4x + 90x - 9 (open up the brackets)
90x - 4x - 9
= 86x - 9
Answer:
P(not3)=5/6=.83
Step-by-step explanation:
Find probability of a die that didn’t have a 3 means that it could have a 1,2,4,5,6. This is 5out of 6.
5/6=.83
AEC and BED are vertical angles, which mean they are equal.
Set those two equations to equal and find those angles, then we can find AEB.
First:
3y+20 = 5y -16
Add 16 to each side:
3y+36 = 5y
Subtract 3y from each side:
36 = 2y
Divide both sides by 2: y = 36 /2
y = 18.
Now solve AEC:
3(18) +20 = 54+20 = 74
Both AEC and BED are 74 degrees.
AEB and CED asre also vertical angles and would be the same.
Subtract 74 +74 from 360 then divide by 2:
AEB = (360 - 74 - 74) / 2
AEB = 212 /2
AEB = 106 degrees