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dmitriy555 [2]
3 years ago
15

When looking at a quadratic function on a graph, whether it is down or up, the domain will always be all real numbers or does it

depend on the vertex?
Mathematics
1 answer:
aniked [119]3 years ago
7 0

The domain of any graph depends on the vertex as well as the asymptotes. You can easily tell if the domain is all real numbers by looking at the graph and seeing that it goes clearly from -infinity to +infinity. If there is an asymptote that blocks it, then it will not be all real numbers.

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

h=-16t^2 + 36t + 10 ......(1)

Part (a) :

The maximum height reached by the ball is given by :

\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m

7 0
4 years ago
Find the rule, solve for n
Andrej [43]
Try this option:
note, that the difference between 8 and 10 is 2, between 9 and 12 is 3, between 11 and 16 is 5. It is possible when f(x) is linear function, 2x-6, therefore f(14)=2*14-6=22

Answer: 22.
6 0
3 years ago
NEED ANSWERED NOW
hammer [34]

x = 3,-1, multiplicity of 2.

Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)

We just convert these x-values into x-intercept form and convert again in standard form by multiplying.

(x-3)(x+1)(x-2)²

(x²-2x-3)(x²-4x+4)

(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)

Thus the answer is x⁴-6x³+9x²+4x-12

7 0
3 years ago
A spinner has 10 equally sized sections, 6 of which are gray and 2
Airida [17]
60% grey and 20% blue
4 0
4 years ago
Read 2 more answers
Im in Algebra What is <br>2r-6+5r=3-r+7
worty [1.4K]
2r-6+5r=3-r+7

7r-6=10-r

7r+r=10+6

8r=16

r=16/8

r=2
7 0
3 years ago
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