Answer:
Step-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
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<u>f(x) = 1/3(x +5)^2 +7</u>
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
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<u>f(x) = -5(x -3)^2</u>
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Answer:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
Hey there! The equation is d = (344 + d) + 359
Step-by-step explanation:
The Ratio is given as 100:1
Which means In 1 minute you travelled 100 steps
Therefore,
- In 2 minutes you will travel = 2×100 = 200 steps
- In 3 minutes you will travel = 3×100 = 300 steps
- In 4 minutes you will travel = 4×100 = 400 steps
Answer:
C
Step-by-step explanation:
A proportional relationship exists where the outputs and inputs have a constant of proportionality. This is a ratio of y/x that is the same between all x and y values in a table.
a. x: 0,1,2 y:2,5,8
2/0 = 0, 5/1 = 5 not proportional
b. x: 0,1,2 y:0,1,4
1/1 = 1, 4/2 = 2 not proportional
c. x: 0,1,2 y:0,3,6
3/1 = 3, 6/2 = 3 YES proportional
d. x 0,1,2 y:2,3,7
2/1 = 2, 3/2 = 1.5 not proportional
