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agasfer [191]
1 year ago
8

Divide using long division. State the​ quotient, q(x), and the​ remainder, r(x).

Mathematics
1 answer:
kolezko [41]1 year ago
7 0
What are u supposed to be dividing
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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
look for a pattern in the first three diamonds below for the fourth diamond explain how you could find the missing numbers (?) i
mezya [45]
Hmmmm tricky tricky tricky tricky tricky wow wow wow wow still tricky tricky
6 0
3 years ago
In a test of a​ gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this​ result, what is
Rashid [163]
When it comes to probability, the answer is always expressed as part of a whole. With that being said, your answer for this problem can be a ratio, fraction or in percentage. Probability is the study of finding the chances or odds of an event happening with the use of statistics. You are already given the statistics of baby girls and baby boys. Note that you are asked to find the probability of the baby being a girl. So, the part here includes the 248, while the whole is 248+13 = 261. Therefore, the probability is 248/261 or 0.95 or 95%. That means that the likelihood of having a girl baby using this technique is very high.
6 0
3 years ago
scores on a test have a mean of 67 and a standard devation of 10. michelle has a score of 87. convert michelle score to a z-scor
klasskru [66]

Answer:

z-score = 2.

Step-by-step explanation:

The z-score = (x - m) / d   where x =the person's score, m = the  mean and d = the standard deviation.

So we have (87-67)/10

= 2.

6 0
2 years ago
On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
Oksanka [162]
Multiply 16*3 to get 48, the bike is 48 units so 16:1,16/1=16. So the answer would be 16. Hope I helped! 
4 0
3 years ago
Read 2 more answers
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