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umka21 [38]
3 years ago
9

What is the slope of the shown below?

Mathematics
2 answers:
sasho [114]3 years ago
8 0
The correct answer is 6
iVinArrow [24]3 years ago
6 0
The slope would be 4.

The slope would be 4 because you can take the 2 points, (3,6) and (1,-2) and apply the formula (y2-y1)/(x2-x1).

When applied, it would look like this:
-2-6/1-3
This would result in -8/-2 which equals 4.
You might be interested in
Whats the extreme value?y=3(x+5)^(2)-4
natta225 [31]

Answer:

-4

Step-by-step explanation:

  • y = 3(x+5)²-4
  • y= 3(x²+10x+25)-4
  • y= 3x²+30x+75-4
  • y= 3x²+30x+71

Derivate the function

  • y' = 6x+30

solve the equation y'= 0

  • y'= 6x+30
  • 6x+30= 0
  • 6x= -30
  • x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0
3 years ago
Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each nigh
daser333 [38]

<u><em>Answer:</em></u>

a. He will have to read half an article per night

b. Fraction of the reading assignment read each night = \frac{0.5}{4}=\frac{1}{8}

<u><em>Explanation:</em></u>

<u>Part a:</u>

<u>We are given that:</u>

number of articles to read = 4 articles

number of nights = 8 nights

To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights

<u>Therefore:</u>

number of articles to read per night = \frac{4}{8}=\frac{1}{2} articles per night

<u>Part b:</u>

Now, we know that he will read half an article each night from a total of 4 articles

To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments

<u>Therefore:</u>

Fraction of the reading assignment read each night = \frac{0.5}{4}=\frac{1}{8}

Hope this helps :)

5 0
3 years ago
Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they
siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"?  the 100%.


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended  up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}

7 0
3 years ago
Read 2 more answers
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo
Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0
3 years ago
Write the prime factorization of each number with factoring in increasing order of the base, using exponents for
ale4655 [162]
I don’t know sorry!!!
8 0
2 years ago
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