Let's solve your equation step-by-step.
−7x=−2x2+15
Step 1: Subtract -2x^2+15 from both sides.
−7x−(−2x2+15)=−2x2+15−(−2x2+15)
2x2−7x−15=0
Step 2: Factor left side of equation.
(2x+3)(x−5)=0
Step 3: Set factors equal to 0.
2x+3=0 or x−5=0
x= 
or x=5
Answer:
x= or x=5
Hope this helps
Answer:
Continuous random variables: c and e
Discrete random variables: a, b, d
Step-by-step explanation:
We have to identify whether the random variable is discrete or continuous.
- A discrete variable is a variable whose value is obtained by counting.
- A continuous random variable X takes all values in a given interval of numbers.
- Thus, a continuous variable can have values in decimals but a discrete random variable cannot take values in decimals.
a. The number of statistics students now reading a book.
Discrete random variable since number of students cannot take decimal values.
b. The number of textbook authors now sitting at a computer.
Discrete random variable since number of textbooks cannot be expressed in decimals but counted.
c. The exact time it takes to evaluate 27 plus 72.
It is a continuous random variable as it may take all values within an interval of time.
d. The number of free dash throw attempts before the first shot is made.
It is a discrete random variable since the number of throws can always be whole number.
e. The time it takes to fly from City Upper A to City Upper B.
Time is a continuous random variable.
Answer: 4/5
Step-by-step explanation:
The slope : rise over run, or the change in y/ change in x
Change in y = 40 (50 - 90)
Change in x = 50 (50 - 100)
40/50 or 4/5
Answer:
6.46
Step-by-step explanation:
h(t) = (1/2)
+ v0t + h0
Origin is at surface of water (h = 0), up is positive.
a = -g = -9.8 m/
v0 = 25 m/s
h0 = 50 m
h(t) = -4.9t2 + 25t + 50
Find t when
7 = 
+ 25t + 50
- 25t - 43 = 0
t = [1/(2*4.9)] [25 ±√(
+ 4*4.9*43)]
t = (0.102)(25 ± 38.312)
t > 0 ⇒ use only the positive square root
t = (0.102)(25 + 38.312) ≅ 6.46 s
It is 7m above the water at about 6.46 s
Answer:
1 Adult ticket=$35
1 Children ticket=$20
Step-by-step explanation:
21C+15A=945
6C+6A=330
we find adult tickets 1st
42C+30A=1890
42C+42A=2310
12A=420
A=35
we will find children ticket next
42c+30a=1890
30c+30a=1650
12c=240
C=20
