Answer:
number 3 is B and number 4 is C
Step-by-step explanation:
7n-1
the 5th term of the sequence 4n+1
If the dimensions are tripled then the surface area will increase by a factor of 3^2
That is by 9.
The volume will increase by a factor 3*3 (= 27).
Answer:
The team ordered 7 black T-shirts.
The team ordered 14 red T-shirts.
Step-by-step explanation:
The team ordered 140 T-shirts.
How many black T-shirts did the baseball team order?
Of those, 5% are black.
0.05*140 = 7
The team ordered 7 black T-shirts.
How many red T-shirts?
Of those, 10% are red.
0.1*140 = 14
The team ordered 14 red T-shirts.
The correct answer is:
B. (0,1)
ax² + bx + c = 0
x = (-b ± √(b² - 4ac))/2a
First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.
(ax² + bx + c = 0)/a =
x² + (b/a)x + (c/a) = 0
Isolate (c/a) by subtracting (c/a) from both sides
x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)
x² + (b/a)x = 0 - (c/a)
Add spaces
x² + (b/a)x = -c/a
Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.
x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
Simplify the left side of the equation.
x² + (b/a)x + (b/2a)² = (x + (b/2a))²
(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))
Take the square root of both sides of the equation
√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))
x + b/(2a) = (±√(b² - 4ac)/2a
Simplify. Isolate the x.
x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a
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