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2 years ago

10

Mrs. Gomez paid $780 for a new backyard fence. A new gate cost an additional $225. The fencing was a total of 120 feet. What was

the unit cost per foot for the fence?

1 answer:

Andrews [41]2 years ago

6 0

I would do it this way

$780+$225=$1005

$1005/120ft= $8.375

if you have to round up $8.38 per foot

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Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, a

bekas [8.4K]

9514 1404 393

Answer:

(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
NOT linearly independent

Step-by-step explanation:

We want ...

c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0

Substituting for the fn function values, we have ...

c1·x +c2·x² +c3·(2x -4x²) ≡ 0

This resolves to two equations:

x(c1 +2c3) = 0

x²(c2 -4c3) = 0

These have an infinite set of solutions:

c1 = -2c3

c2 = 4c3

Then for any parameter t, including the "trivial" t=0, ...

(c1, c2, c3) = (-2t, 4t, t)

__

f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)

7 0

1 year ago

A phone company has a monthly data plan where a customer pays flat monthly fee of $ 15 and then a certain amount of money per gi

ololo11 [35]

Answer:

Step-by-step explanation:

let x represent the number of MB used in a month.

Let y represent the monthly cost of using x MB.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (36 - 24)/(7 - 3)

m = 12/4 = $3

We would represent the linear equation in the slope - intercept form which is expressed as

y = mx + c

Where

c = y intercept

m = slope

At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is

y = 3x + 15

Or

C(x) = 3x + 15

3 0

2 years ago

What number does the calculator display represent?

Tatiana [17]

Answer:

C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If f(x)= 3x2 and g(x) = x+2, find (f.g)(x).

Paha777 [63]

Step-by-step explanation:

$f(x) = 3 {x}^{2} \: and \: g(x) = x + 2 \\ (f.g)(x) \\ = f(x).g(x) \\ = 3 {x}^{2} .(x + 2) \\ \red{ \boxed{ \bold{ \therefore f(x).g(x)= 3 {x}^{3} + 6 {x}^{2} }}} \\$

7 0

2 years ago

Can 24 7ths be equal to another fraction or be simplified in another way

Jobisdone [24]

To check if an improper fraction like like 24/7 can still be simplified, you have to find similar factors that can divide both the numerator (24) and the denominator (7). However in this case, there are no longer any common factors that can divide both of them. However, improper fractions can be represented in a mixed fraction form.

A mixed fraction is made up of a whole number and a fraction. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient should be a whole number and a remainder. The whole number in the quotient would be the whole number in the mixed fraction, and the remainder would be the numerator.

In the case of 24/7, dividing it would yield us 3 remainder 3. Therefore, the mixed fraction would be:

3 3/7

8 0

2 years ago