Answer: the percent increase is 25%
Step-by-step explanation:
lets 16 games are 100% - in last year
so 20 games are x%
make proportion and find x=20*100/16=125% - in this year
125-100%=25%
Answer: the percent increase is 25%
Answer:
y = 4x + 7
Step-by-step explanation:
parallel = same slope
y = 4x + b
plug in (-4, -9)
-9 = 4(-4) + b
-9 = -16 + b
b = 7
y = 4x + 7
Answer:
7=4x+7
Step-by-step explanation:
To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7
Answer:
C. as likely as not
Step-by-step explanation:
The teacher makes two groups with the same number and divides the student at random. The two groups have equal size, so the chance for someone to get picked into group 1 is 100%/2= 50%. The chance for someone to get picked into group 2 will be also 100%/2= 50%
The chance to get picked to be in group 1(50%) is the same as the chance to NOT get picked into group 1(50%). The word to explain this chance will be "as likely as not".
2. 4, 12, 36, 108, __, __.
3. 8, 13, 18, 23, __, __.
4. 5, 10, 8, 13, 11, __, __.
Answer:
1. 6, 15
2. 324,972
3. 28, 31
4. 16, 14
Step-by-step explanation:
Answer:
1. 6, 15
2. 324,972
3. 28, 31
4. 16, 14
Step-by-step explanation:
1 is the smallest possible integer.
Given that: .
The discreminant of this equation is:
For imaginary zeros, we must get discreminant less than 0.
So,
Next integer of 0.2 is 1.
So 1 is the smallest possible integer.
Learn more: brainly.com/question/20521181
The question is incomplete, the complete question is
Determine the smallest integer value of a for which f(x) = ax² - 2x + 5 has imaginary zeroes. Show how you found this answer
Answer:
The smallest integer value of a is 1
Step-by-step explanation:
To find the zeroes of a function equate it by 0, then find the values of x which are the zeroes of the function
To find the types of the roots (zeroes) of a function f(x) = ax² + bx + c use the discriminant of the function b² - 4ac
∵ f(x) = ax² - 2x = 5
- To find its zeroes equate f(x) by 0
∴ ax² - 2x + 5 = 0
∵ f(x) has imaginary zeroes
- That means the discriminant is less then zero
∴ b² - 4ac < 0
∵ a = a, b = -2 and c = 5
- Substitute them in the inequality above
∴ (-2)² - 4(a)(5) < 0
∴ 4 - 20 a < 0
- Add 20 a to both sides
∴ 4 < 20 a
- Divide both sides by 20
∴ 0.2 < a
- That means a is greater than 0.2
∴ a > 0.2
∵ You must to find the smallest integer value of a
- The first integer greater than 0.2 is 1
∴ a = 1
The smallest integer value of a is 1
Answer:
Ralph borrowed $11,000 from the government source and $9,000 from the private source.
Step-by-step explanation:
Let:
x = government loan
y = private loan
x + y = 20,000 ............................................ (1)
x = 20,000 - y ............................................. (2)
0.033x + 0.049y = 804 ............................ (3)
Substitute equation (2) into (3) for x, we have:
0.033(20,000 - y) + 0.049y = 804
660 - 0.033y + 0.049y = 804
0.016y = 804 - 660
0.016y = 144
y = 144 / 0.016 = $9,000
Substitute $9,000 for y in equation (2), we have:
x = 20,000 - 9,000 = $11,000
Therefore, Ralph borrowed $11,000 from the government source and $9,000 from the private source.