Answer:
9x + 3 = 7x + 19
Step-by-step explanation:
Given that,
Jeffrey set up chairs for a meeting.
He arranged the chairs in 9 equal rows but had 3 chairs left over.
Let x be the number of chairs. So,
9x+3 .....(1)
Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,
7x+19 ......(2)
From equation (1) and (2),
9x+3 = 7x+19
9x-7x = 19-3
2x = 16
x = 8
Hence, the correct option is (b).
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
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9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
Answer:
2
Step-by-step explanation:
Answer:
A = -10
Step-by-step explanation:
x^2 + 10x + 24 = 0
To find the roots, we need to factor the equation.
What 2 numbers multiply to 24 and add to 10
6*4 = 24
6+4 = 10
(x+6) (x+4)=0
Using the zero product property
x+6 = 0 x+4 = 0
x = -6 x = -4
We want the sum when the roots are added
-6+ -4 = -10