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pashok25 [27]
2 years ago
8

Graph y = -x^2 - 2. Identify the vertex of the graph. Tell whether It is a minimum a or maximum

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

Answer:

(0,-2)

maximum

Step-by-step explanation:

-x∧2-2 = -1 (x∧2) -2

so the vertex should be (0,-2)

As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.

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Agent Bond is standing on a bridge, 13.5 m above the road below, and his pursuers are getting too close for comfort. He spots a
Scrat [10]

Answer:

Step-by-step explanation:

Eek!  Let's give this a go. Things we know:

acceleration of Bond in free fall is -9.8 m/s/s

velocity of the truck is 25 m/s

displacement Bond will travel when he jumps is -10 m

What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.

Our displacement equation is

Δx = v₀t + 1/2at²

Filling in we have

-10=25t+\frac{1}{2}(-9.8)t^2

Simplifying we get

-10=25t-4.9t^2

This is a quadratic that needs to be solved however you personally solve quadratics.  When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds.  Many things in physics can be negative, like velocity and acceleration, but time NEVER will be.  So it takes Bond 5.5 seconds to drop to the roof of the moving truck.  That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.

Good luck with this!

Cheers!

6 0
3 years ago
BRAINLIEST PLEASE HELP :Can someone please write the words out for me so i can cop&past
Kisachek [45]
You didn’t include any picture or write a question what are we suppose to answer ?:,)
6 0
3 years ago
What is the product of the binomals below (2x+3) (3x+3)
Korvikt [17]

Answer:

3*(2x+3)*(x+1)

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

\left(2x+3\right)\left(3x+3\right)\\3x + 3  =   3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\

5 0
2 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
Blizzard [7]

Answer: 2,435

Step-by-step explanation:

trust

3 0
3 years ago
A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F. Af
fgiga [73]

Answer:

53.3324

Step-by-step explanation:

given that a  thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F.

By Newton law of cooling we have

T(t) = T+(T_0-T)e^{-kt}

where T (t) is temperature at time t,T =surrounding temperature = 40, T0 =70 = initial temperature

After half minute thermometer reads 60° F. Using this we can find k

T(0,5) = 40+(70-40)e^{-k/2} = 60\\e^{-k/2} =2/3\\-k/2 = -0.4055\\k = 0.8110

So equation is

T(t) = 40+(30)e^{-0.8110t}\\

When t=1,

we get

T(1) = 40+(30)e^{-0.8110}\\\\=53.3324

5 0
3 years ago
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