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evablogger [386]
3 years ago
13

Write a quadratic function f (X) for the area of a rectangle with the length of X+5 and a width of 3x-7

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
Area = length x width
f(x) = (x + 5)(3x - 7)
f(x) = 3x^2 + 8x - 35
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Khloe and Emma work at a furniture store. Khloe is paid $245 per week plus 9.5% of her total sales in dollars, xx, which can be
ale4655 [162]

Answer: Their weekly pay would be the same if xx equals $1,600

Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;

Khloe = 245 + 0.095x ———(1)

Emma = 285 + 0.07x ———(2)

Simply put, we need to find the value of x when equation (1) equals equation (2)

245 + 0.095x = 285 + 0.07x

Collect like terms and we now have

0.095x - 0.07x = 285 - 245

0.025x = 40

Divide both sides of the equation by 0.025

x = 1600

Therefore their weekly pay would be at the same level, if x equals $1600

6 0
3 years ago
The pointer of the vibration measuring instrument is observed to move between the 0.1 and0.3 marks on the vertical scale, when s
Norma-Jean [14]

Answer:

Step-by-step explanation:

Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2

Also , frequency (w) = 100 rad/s.

Natural frequency (wn) = √K/m

K = 20 N/mm x 1000mm/1m = 20000N/M

W = 1000mm/1m = 20,000N/M

FormulaX = FolK/1 - (w/wn)²

0.2 = b/20000/1 - (100/50)²

Given forcing frequency was doubled, W1 = 2 x 100=200rad/s

X1 =b/20,000/1 - (200/20)²

0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3

X1 = 0.04

8 0
3 years ago
Which one should I choose
Sveta_85 [38]
Answer C or the third one
8 0
3 years ago
8+3(5-1) =20 I am very confused on how this equals 20, someone please explain. thanks
soldier1979 [14.2K]

Step-by-step explanation:

first you have to do the subtraction in the parentheses so it's 8+3(4) and then you multiply the 3 by 4 (only the 3 because the 8 isn't next to the multiply) and then you have 12, add 8 and it's 20

7 0
3 years ago
PLEASEE HELP AGAINNNN!!!!<br> If a1 = 4 and an = -4an - 1 then find the value of a6
sertanlavr [38]

The 6th term of the geometric sequence is of -4096.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

For this problem, we have that:

  • The first term is a_1 = 4.
  • a_n = -4a_{n - 1}, hence the common ratio is q = -4.

Thus the 6th term of the sequence is found as follows:

a_6 = a_1q^5 = 4(-4)^5 = -4096

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

6 0
1 year ago
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