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arsen [322]
3 years ago
12

In the equation below, what is the value of b? 4(x-2)^2-7=ax^2+bx+c

Mathematics
1 answer:
Finger [1]3 years ago
4 0
We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c ;
The value of b is -8.</span>
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S=a1/1-r
valentinak56 [21]

Answer:

4

Step-by-step explanation:

This is an <em>infinite geometric series</em>. This has a sum of  \frac{a}{1-r}

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

<u />

<u>First term:</u>

3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3

<u>Second term:</u>

3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}

<em>Let's see the common ratio:  \frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}</em>

<em />

<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>

<em>s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4</em>

<em />

<em>So, </em><em>the answer is 4</em>

4 0
3 years ago
What is a exponential function?
9966 [12]

Answer:

hope I helped also good bless u and your family

Step-by-step explanation:

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

6 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 25 20 ​
Komok [63]

Answer:

15

Step-by-step explanation:

using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2}  = x {}^{2}  + 20 {}^{2}  \\ 625 = x {}^{2}  + 400 \\ x {}^{2}  = 625 - 400 \\ x {}^{2}  { = 225} \\ x =  \sqrt{225}   \\ x = 15 \\ lenght \: of \: the \: third \: side = 15

3 0
2 years ago
Jenna bought two more pairs of jeans. If both of them are blue, what percentage of her jeans is blue now? If both of them are no
Sergeeva-Olga [200]
What you must keep in mind is that there are 4 jeans in total, which represents 100%
 When she bought two jeans, we have the following information:
 If both of them are blue:
 50% of their jeans is blue now, that is:
 x = (50/100) * 4 = 2
 2 jeans are blue.
 This means that she did NOT have 2 blue jeans before.
 Thus:
 If they are not blue: 
 We have 4 jeans that are not blue.
 Then, 0% of her jeans is blue now
 answer:
 0% percentage of her jeans is blue now
7 0
3 years ago
An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
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