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loris [4]
3 years ago
12

The function f is defined by f(x)=7x−5. Use this formula to find the following values of f. f(3)

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

f(3) = 16

Step-by-step explanation:

f(x)= 7x-5

We want to find the value when x=3

f(3) = 7*3 -5

f(3) = 21-5

f(3) = 16

muminat3 years ago
4 0

Answer:

f(3) = 16

Step-by-step explanation:

Put 3 where x is and do the arithmetic.

... f(3) = 7·3 -5 = 21 -5 = 16

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Ex 7) Imagine a mile-long bar of metal such as the rail along railroad tracks. Suppose that the rail is anchored on both ends an
Fantom [35]

9514 1404 393

Answer:

  about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

  h = c·tan(α) . . . . . . where c = half the initial rail length

Then the length of the expanded rail is ...

  s = r(2α) = (c/sin(2α)(2α) . . . . . . where s = half the expanded rail length

Rearranging this last equation, we have ...

  sin(2α)/(2α) = c/s

It is this equation that must be solved iteratively. We find the solution to be ...

  α ≈ 0.0168538794049 radians

So, the height of the circular arc is ...

  h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

_____

<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

__

We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

3 0
3 years ago
A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed
SIZIF [17.4K]

Answer: Speed in miles per hour is 45 mph.

Step-by-step explanation:

Since we have given that

Distance covered = 15 miles

Time taken to cover the above mentioned distance = 20 minutes

We need to calculate the speed in miles per hour ,

As we know the formula for " Speed " i.e.

Speed=\frac{Distance}{Time}

Now, we will put the value of distance and time in the above formula:

Speed=\frac{15}{20}\times 60\\\\Speed=15\times 3\\\\Speed=45\ mph

Hence, Speed in miles per hour is 45 mph.

8 0
3 years ago
Read 2 more answers
The sum of the measures of the interior angles of a convex pentagon
ipn [44]

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

7 0
3 years ago
Helpppppppppppppppppppppppppppp
Oliga [24]

<u>To find the area of a complex shape</u>:

 ⇒ must split into simpler shapes

  • a rectangle of <u>8m by 7m</u>
  • a rectangle of <u>2m by 8 m</u>

<u>Now let's find</u>:

  • Area of a rectangle of <u>8m by 7m</u>

               Area=8*7=56m^2

  • Area of a rectangle of <u>2m by 8m</u>

               Area = 2 * 8 = 16m^2

<u>Total Area</u> = 56 + 16 = <u>72 m²</u>

<u>Answer: 72 m²</u>

Hope that helps!

6 0
1 year ago
2 PLEASE HELP! WILL GIVE BRAINLIEST!
Vladimir79 [104]

Answer:

Area

Step-by-step explanation:

If you are paving the parking lot, you would need every sqaure inch of the parking lot, not only the outside (which is what the perimeter is)

5 0
3 years ago
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