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zlopas [31]
3 years ago
11

At sea level, 0 ft elevation, the boiling point of water is 212degrees F, at an elevation of 6,500 ft the boiling point is only

200degrees F. Write a linear function , f(x) that describes the boiling point of water
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0
Hmmmm this is tricky
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Plums
muminat

Answer:

9 to 4

Step-by-step explanation:

If you divide each of the first numbers on the answers by each of the second numbers they all become a ratio of 2 to 1 except for 9 to 4.

7 0
3 years ago
Read 2 more answers
Simplify the expression
Natalija [7]

Step  1  :

 (23 x 2 -  5) • x 3

Step  2  :

Trying to factor as a Difference of Squares :

  Factoring:  8 x 2-5  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Answer:

(8 x 2 - 5) • x 3

3 0
3 years ago
Which is true of the standard form of the equation of the line graphed?<br><br>It is B!
daser333 [38]
B imakes the most sense so I agree it is b
5 0
3 years ago
Read 2 more answers
PLAYSTOP6The volume of the solid iscubic feet. Use the formula V = Bh. All angles are 90°.9 ft.6 ft.ft.3 ft.2 ft.2ft.
ira [324]

Volumen of A Solid

Given a solid with a shape of a constant base B and height H, the volume is:

V = BH

The height of the solid is 1 1/4 ft. We need to calculate the area of the base.

The base consists of a larger rectangle from which has been taken a smaller rectangle.

The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:

A1 = 9 ft * 6 ft = 54 square ft

The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.

The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).

The area of the smaller rectangle is:

A2 = 2 1/2 * 4

The mixed fraction 2 1/2 is converted to improper fraction:

2 1/2 = 2 + 1/2 = 5/2

Thus, the area is:

A2 = 5/2 * 4

A2 = 10 square feet

The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet

B = 44 square feet.

Now for the volume:

V = 44 square feet * 1 1/4 feet

Again the mixed fraction is converted to a single fraction:

1 1/4 = 1 + 1/4 = 5/4

V = 44 square feet * 5/4 feet

V = 55 cubic feet

3 0
1 year ago
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
2 years ago
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