Answer:
A
Step-by-step explanation:
F(x) = 4x^2 + 1
G(x) = x^2 - 5
(F-G)(x) = (4x^2+1 - x^2-5)
collect like terms
(F-G)(x) = (4x^2-x^2 + 1-5)
= (3x^2 - 4)
Answer:
349.5 miles
Step-by-step explanation:
150 divided by 60 min is 2.5. so 75 times 2.5 is 187.5 and 81 times 2 is 162. so 162+187.5 is 349.5.
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
The price of one senior citizen ticket is 8$ and one student ticket is 12$.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the price of one senior citizen ticket = x
And the price of one student ticket = y
Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260
The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.
13x +13y = 260
13x + 9y = 212
Subtract the equation from first
13x +13y - (13x + 9y) = 260 - 212
4y = 48
y = 48/4
y = 12
Substitute the value of y in the equation 13x + 9y = 212
13x + 9(12) = 212
13x + 108 = 212
13x = 212 - 108
13x = 104
x = 104/13
x = 8
Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.
Learn more about the equation here:
brainly.com/question/10413253
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