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tangare [24]
4 years ago
5

I need help with this question please and thank you

Mathematics
2 answers:
marissa [1.9K]4 years ago
8 0

Answer:

y = -1x + 3 or f(x) = -1x + 3

Step-by-step explanation:

Rise/run = 3/-3 =<em> <u>-1</u></em>

Crosses the y-axis at <em><u>3</u></em>

y = <em><u>-1</u></em>x + <em><u>3</u></em> or f(x) = <em><u>-1</u></em>x + <em><u>3</u></em>

lisabon 2012 [21]4 years ago
7 0
The first guy is right
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A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
Zielflug [23.3K]

Answer:

f(t) = -t + 21

g(t) = 18*e^( - t / 12 + 1/4 )

Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

3 0
3 years ago
What are the two binomials for the expression x(x + 3) + 3(x + 3)?
Alja [10]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
56 points for whoever answers correctly !
vladimir2022 [97]

We need to use what we know about rectangles to get:

1)

  • Total length = 2*W + 8ft
  • Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

  • Total length = L + 2*4ft = 2*W + 8ft
  • Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0
3 years ago
#2, can someone help me with this question?
Greeley [361]

Answer:

166.5 m³

Step-by-step explanation:

Vcone = ⅓ × pi × r² × h

pi × r² × h = 3 × Vcone

Vcylinder = pi × r² × h

Vcylinder = 3 × Vcone

Vcylinder = 3 × 55.5 = 166.5 m³

8 0
3 years ago
Read 2 more answers
A circle with the diameter of 20 mm is showing what is the exact Sir conference obvious and then question to what is the approxi
yaroslaw [1]

Answer:

The approximate circumference is 62.8 mm

Step-by-step explanation:

Circumference is basically the perimeter of the circle

Circumference is given by

2 *\pi *r

Here the diameter is 20 mm, so the radius will be half of diameter = 10 mm

Substituting the given values, in above equation, we get -

Circumference =

2 *3.14 * 10 \\62.8mm

The approximate circumference is 62.8 mm

3 0
3 years ago
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