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3 years ago

Find the output for each input of y = 2x – 1.

Mathematics

1 answer:

Jlenok [28]3 years ago

5 0

1) False. You'd substitute -1 in for x, not y.
2) The scale factor is 1ft=14ft so true.
3) The first is a direct variation since y=6x is true.
4)The airplane would be 132ft in real life.
5) None of the functions made sense with the graph. I didnt really know what "thing" you were talking about on that one.

You might be interested in

The difference of three times a number and 4 is -15

attashe74 [19]

Answer:

Let the number be n.

3n - 4= -15

3n= -15+4

3n= -11

n= -11/3

n= -3.67 or n= -3 2/3

Step-by-step explanation:

Bring over 4 to the RHS of the equation and divide the RHS by 3.

4 0

3 years ago

Approximate pi plus the square root of 70 to the nearest hundredth.

stich3 [128]

Answer:

11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

√n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

3.1416 +8.3664 = 11.5080 ≈ 11.51

5 0

2 years ago

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of

Harman [31]

Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm

The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm

The area of the base is then
B = s²
B = (15 cm)² = 225 cm²

The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³

The volume is 1575 cm³.

5 0

3 years ago

Which graph represents the function of f(x) = 9x 2 -36/3x+6 Please help

UkoKoshka [18]

The function is:

         (9x^2 - 36)
f(x) = ---------------------
                3x + 6

You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0

=> x ≠ - 2.

So, for x ≠ - 2, you can do:

         (9x^2 - 36)
f(x) = --------------------- =
               3x + 6

          9(x^2 - 4)
f(x) = ---------------------
                3(x + 2)

         3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
                 (x + 2)

So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.

6 0

3 years ago

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?

cupoosta [38]

Length of a carton :

$= \frac{22}{3} \: feet$