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alekssr [168]
3 years ago
14

Consider the function f(x)=x3+6x2−20x+450.

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

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irinina [24]
Since that is a triangle the expression would be b x h  / 2. So 12*12 = 144 / 2 = 72. The answer is 72. 
8 0
3 years ago
I need help. Someone help please. (photo)​
gayaneshka [121]

Answer:

Step-by-step explanation:

In order to solve all of these problems, you have to first create an equation. The typical format for an equation looks like this: y = mx + b

m is the slope and b is the y-intercept.

In order to create an equation, you have to find the slope and y-intercept of the function. You can find the slope using this expression: \frac{y2-y1}{x2-x1} To find the y-intercept, you use a known point and the slope in the equation to solve for b.

Now that we know this, we can solve the problems.

1a.

To create the equation, let's find the slope using points (1, 15) and (2, 30)

\frac{30 - 15}{2 - 1} = 15/1 = 15

The equation now looks like this: h = 15w + b

Let's use the point (1, 15) from the table to find b

15 = 15(1) + b

15 = 15 + b

subtract 15 from both sides the isolate the b

0 = b

There is no y-intercept for this equation, so the equation looks like this:

h = 15w

1b. We know the equation is h = 15w, so all we have to do is input the 9 into the equation.

h = 15(9)

h = 135

2a. We'll use the points (1, 8) and (2, 16) to find the slope

\frac{16 - 8}{2-1} = 8/1 = 8

The slope is 8.

Since it's impossible to sell any houses in 0 months, we already know that there is no y-intercept, so the equation looks like this:

h = 8m

2b. Put the value of 15 inside the equation and solve.

h = 8(15)

h = 120

3a. We'll use the points (1, 35) and (2, 70) to find the slope.

\frac{70 - 35}{2 - 1} = 35/1 = 35

The slope is 35.

It's impossible to see any movies in 0 months, so there is no y-intercept. The equation looks like this:

c = 35m

3b. We know that there are 12 months in a year, so put 12 into the equation and solve.

c = 35(12)

c = 420

4a. We'll use the points (1, 8) and (2, 16) to find the slope

\frac{16 - 8}{2 - 1} = 8/1 = 8

The slope is 8.

It's impossible for there to be a cost if there are no hats, so the y-intercept must be 0. The equation looks like this:

c = 8h

4b. Put the 30 hats into the equation and solve.

c = 8(30)

c = 240

4 0
3 years ago
00:00
masya89 [10]

Answer:

Part A = the middle one

Part B = 4 days

Step-by-step explanation:

1,300 / 4 = 325

325 x 4 = 1,300

8 0
3 years ago
Read 2 more answers
In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each even
murzikaleks [220]

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

7 0
3 years ago
A science teacher recorded the pulse of each of the students in her classes after the students had
Lyrx [107]

The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

<h3>What is box plot representation of data?</h3>

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

  • A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs.
  • She displayed the results, by class, using the box plots shown.

In this box plot, the class 3 has the highest value compare to all the box plot.

Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

Learn more about the box plot here;

brainly.com/question/14277132

#SPJ1

4 0
2 years ago
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