Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
12 in front and 12 in back.
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
And the second equation is:
From the second equation, we have:
Using this value of y in the first equation, we have:
Calculating the discriminant Delta, we have:
We have 
, so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
We would have:
We also have , so we have two solutions for this system.
Correct option: C.)
Answer:
-2/3
Step-by-step explanation:
because this is in slope intercept form, m is the slope, so in this case -2/3 is the slope
parallel lines always have the same slope and different y-intercepts
a parallel line could be y=-2/3 +15
In this case, you already used 310 minutes out of 500 minutes monthly. So the remaining time for your cell phone should be: 500 minutes -310 minutes= 190 minutes.
You still have 1 week this month, that means the 190 mins time must be divided into 1 week or 7 days. Then the duration you of cell phone use for each day should be: 190 minute/7days= 27.14 minutes/day
