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mariarad [96]
3 years ago
5

(g(1) = 10 (g(n) = g(n − 1) – 7.5 g(3) =

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

g(3) = - 5

Step-by-step explanation:

Given

g(n) = g(n - 1) - 7.5 and g(1) = 10, then

g(2) = g(2 - 1) - 7.5 = g(1) - 7.5 = 10 - 7.5 = 2.5

g(3) = g(3 - 1) - 7.5 = g(2) - 7.5 = 2.5 - 7.5 = - 5

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What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​
Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

5 0
3 years ago
What is the equation of the given line in the point slope -form ?
ladessa [460]

Answer:

see below

Step-by-step explanation:

We are given two points (3,4) and (0,1)

so we can find the slope

m = ( y2-y1)/(x2-x1)

    = (1-4)/(0-3)

  = -3/-3

  = 1

The point slope form is

( y-y1) = m(x-x1)

y - (4) = 1 (x-3)

y - (4) =  (x-3)

or using the other point

y - 1 = 1( x-0)

y - 1 = x

8 0
3 years ago
1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point
matrenka [14]

Answer:

(x + 6)(x - 6)

Step-by-step explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

Area = x^2 - 36

Length = x +a

Width = x + b

So, we have:

Length * Width = Area

This gives:

(x + a)(x + b) = x^2 - 36

Express 36 as 6^2

(x + a)(x + b) = x^2 - 6^2

Express as difference of two squares

(x + a)(x + b) = (x + 6)(x - 6)

Hence, the dimension is: (x + 6)(x - 6)

6 0
3 years ago
The Jones family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They w
Zarrin [17]

Answer:

The answer is 440 miles.

Step-by-step explanation:

You add up the miles that have already been driven and subtract them from the total number of miles. this will give you 440 miles.

5 0
3 years ago
In trying to calculate the product of 5 and 12 in her head, Evie first multiplied 5 times 10 and then added the result to the pr
Pie

Answer:

Step-by-step explanation:

distributive

7 0
3 years ago
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