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klasskru [66]
3 years ago
13

Help me this is one of my final classes before i graduate so hurr asap its a lot of points

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

d

Step-by-step explanation:

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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
2 years ago
Can someone please help me I will mark u brillant
blondinia [14]

Answer:

I'm sorry for answering like that, so here is my actual answer: It is the third one. Again I'm very sorry.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What function is graphed below?<br><br><br><br> y = 2x<br> y = x + 3<br> y = 2x + 3<br> y = 2x + 2
vagabundo [1.1K]

Answer:

y=2x+3

Step-by-step explanation:

The coefficient has to be 2, since the graph has a slope of 2, and the constant has to be 3 because the y- intercept is 3.

y=2x+3

3 0
3 years ago
Read 2 more answers
Help me please , will mark brainliest
gtnhenbr [62]

Answer: 2

Step-by-step explanation:

The radius is half of the diameter.

8 0
3 years ago
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Roland has an appointment tomorrow at 8:45
Marina86 [1]
Two hours earlier than the appointment start time, so he should get up at 6:45am, at latest.
7 0
3 years ago
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