All categories

3 years ago

Your friend gave you a gift card for your birthday. You use it to buy a DVD for

Mathematics

2 answers:

Elza [17]3 years ago

7 0

The answer is $60.00

DIA [1.3K]3 years ago

4 0

120 or it's 60 (: i think because if it's' 60 then you just add the 15 to 45 but if it's 120 then you multiply 60 ny 2

You might be interested in

A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0

3 years ago

Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were

Ahat [919]

Answer:

It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.

Step-by-step explanation:

The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at $(x,y) = (20, 5.5)$ , in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.

3 0

3 years ago

Write an inequality whose solutions are represented by the shaded part of the graph

guajiro [1.7K]

Answer:

x > 3

Step-by-step explanation:

8 0

3 years ago

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Sindrei [870]

Answer:

(0, -2), (1, -1), (2,0)

Step-by-step explanation:

should be along those lines

8 0

4 years ago

How do you do series with an n

SOVA2 [1]

The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
$\sum{a+b}=\sum{a}+\sum{b}$
$\sum{kx}=k\sum{x}$
$\sum_{r=1}^n{1}=n$
$\sum_{r=1}^n{r}=n(n+1)/2$

Armed with the above rules, we can split up the summation into simple terms:
$\sum_{r=1}^n{40r-21n+8}=n$
$=40\sum_{r=1}^n{r}-21n\sum_{r=1}^n{1}+8\sum_{r=1}^n{1}$
$=40\frac{n(n+1)}{2}-21n^2+8n$
$=20n(n+1)-21n^2+8n$
$=28n-n^2$

=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14

(c) the maximum value of f(x) is f(14)=196

4 0

3 years ago