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Sladkaya [172]
3 years ago
7

If f(x) = 6x-4 what is the value of f(8)

Mathematics
2 answers:
Vinvika [58]3 years ago
8 0

Answer:

f(8) = 44

Step-by-step explanation:

f(x) = 6x-4

Let x = 8

f(8) = 6(8) - 4

Multiply

     = 48 -4

    = 44

hram777 [196]3 years ago
6 0
The answer would be 44
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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

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

It is clear that 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.

4 0
3 years ago
What's the slope of 2,3 and 9,4
prohojiy [21]
Slope 1/7 ; easiest way to remember is rise over run
7 0
3 years ago
I need help with these two questions please:) I need the answers fast ! Please and Thank You
Valentin [98]

Answer:

#1 is 9 times 10^15

#2 is 3 times 10^8

Step-by-step explanation:

4 0
3 years ago
What is 19-h-h=-13 find h
hram777 [196]
First subtract h from h to get - 2h 
Then add 19 to both sides leaving you with 
-2h = -32 
Then divide by -2 on both sides 
H = 16 
3 0
3 years ago
Please me with my math
Katyanochek1 [597]

Answer:

8/9, \sqrt{2}, 11/5, \sqrt{9\\}, π, 11/3, 5

Step-by-step explanation:

Simplify and this should be the answer

7 0
3 years ago
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