Find 117% of $1,055.

A rectangle whose perimeter is one hundred four feet. Has a width that is te feet shorter Then its length. What are the dimensio

Stolb23 [73]

Length of the rectangle is 24.5 ft and width is 27.5 ft

Step-by-step explanation:

Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft

Perimeter = 2(length + width)

⇒ 104 = 2(x + x-3)

⇒ 104 = 2(2x - 3)

⇒ 104 = 4x - 6

⇒ 4x = 110

∴ x = 110/4 = 27.5

⇒ x - 3 = 24.5

8 0

4 years ago

I NEED HELP ASAP PLEASEEEE

zhuklara [117]

Answer:

$(f-g)(x)=x^2-6x+5$ dom: (-∞,∞)

$(\frac{f}{g})(x)=x-7+\frac{7}{x+2}$ dom: (–∞,–2)u(–2,∞)

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)=(x^2-5x+7)-(x+2)$ *distribute the negative sign into (x+2)!

$x^2-5x+7-x-2\\x^2-6x+5$

a parabola (anything that begins with $x^2$ ) will have a domain of (-∞,∞) or all real numbers!!

$(\frac{f}{g} )(x)= \frac{x^2-5x+7}{x+2}$ use synthetic division to divide (the attached picture)

domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)

synthetic division:

1. take the divisor (x+2) and solve for x. x= –2 this goes in the top left corner

2. write the numbers AND their signs on the top row. if there is no number and just the variable (like $x^2$ ) just write 1.

3. the first number gets pulled down

4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)

multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)

5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**

6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as $\frac{7}{x+2}$

4 0

2 years ago

A campsite charges a flat fee per vehicle and a price per camper for each evening. The table shows the number of campers, 2, at

11Alexandr11 [23.1K]

Answer:

dollars per camper

Step-by-step explanation:

If the number of campers is considered as domain of the function, then the amount of charge is the range of this function

The rate of change is the change in range per change in domain, therefore it can be represented by:

dollars per camper

6 0

3 years ago

Write an equation for each translation of y=|x|

Archy [21]

The answer is y=|x|-13.

8 0

2 years ago

70000 is ten times as much as

svetlana [45]

70,000 is ten times as much as 7,000. This is because 7,000 times 10 equals 70,000. I got this answer by dividing 70,000 by 10.

6 0

3 years ago