MATHEMATICS HIGH SCHOOL

Brain teaser I will give lots of points for THIS!!!

Answers

Answer 1

Answer:

Answer:

46???

Step-by-step explanation:

apples: 10

bananas: 6

oranges: 6

soo im guessing 10 + 6 x 6 = 46?????

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What is a slope of a line that passes through the points -2,5 and 1,4

Withdrawals by the owner for personal use do not affect net income or net loss of the business. a. True
b. False

Answers

your answer should be B.

Your answer is True.

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

If you would like to know the value of the coefficient 'k' in the factored form, you can find this using the following steps:

2x^3 + 18x^2 - 18x - 162 = 2 * (x^3 + 9x^2 - 9x - 81) = 2 * (x^2(x + 9) - 9(x + 9)) = 2 * ((x + 9) * (x^2 - 9)) = 2 * (x + 9) * (x - 3) * (x + 3) = 2 * (x + 3) * (x - 3) * (x + 9)

The correct result would be: k = 3.

Answer: THE ANSWER IS 3

Step-by-step explanation:

Suppose that c (x )equals 7 x cubed minus 70 x squared plus 13 comma 000 x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Answers

Answer:

A production level that will minimize the average cost of making x items is x=5.

Step-by-step explanation:

Given that

$c(x)=7x^3-70x^2+13,000x$

is the cost of manufacturing x items

To find a production level that will minimize the average cost of making x items:

The average cost per item is $f(x)=(c(x))/(x)$

Now we get $f(x)= 7x^2-70x+13000$

f(x) is continuously differentiable for all x

Here x≥0 since it represents the number of items.,

Put x=0 in $7x^2-70x+13000$

For x=0 the average cost becomes 13000

$f(0)=7(0)^2-70(0)+13000$

$=13000$

∴ f(0)=13000

To find Local extrema :

Differentiating f(x) with respect to x

$f^(\prime) (x)=14x-70=0$

$14x=70$

$x=(70)/(14)$

∴ x=5 gives the minimum average cost .

At x=5 the average cost is

$f(5)=7(5)^2-70(5)+13000$

$=12825$

∴ f(5)=12825 which is smaller than for x=0 is 13000

∴ f(x) is decreasing between 0 and 5 and it is increasing after 5.

Answer:

ummmm

Step-by-step explanation:

idkk

Help pls! Will give brainliest!

Answers

To determine which line among AB, BC, and CA is parallel to the line 2y - 3x = 6, we need to find the slopes of these lines and compare them to the slope of the given line.

The slope-intercept form of a line is y = mx + b, where m is the slope.

Given line: 2y - 3x = 6
To convert it into slope-intercept form, isolate y:
2y = 3x + 6
y = (3/2)x + 3

The slope of the given line is (3/2).

Now, let's find the slopes of the lines AB, BC, and CA:

1. Line AB:
Coordinates of A(-5, -12) and B(11, -4)

Slope (m) of AB = (change in y) / (change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

2. Line BC:
Coordinates of B(11, -4) and C(7, 6)

Slope (m) of BC = (change in y) / (change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

3. Line CA:
Coordinates of C(7, 6) and A(-5, -12)

Slope (m) of CA = (change in y) / (change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, let's compare the slopes:

- Slope of the given line: 3/2
- Slope of AB: 1/2
- Slope of BC: -5/2
- Slope of CA: 3/2

The line that is parallel to the given line 2y - 3x = 6 is Line CA, as it has the same slope of 3/2.

Answer:

CA.

Step-by-step explanation:

To find the gradient (slope) of the line 2y - 3x = 6, we need to rewrite the equation in slope-intercept form (y = mx + b), where "m" represents the gradient. Here's how:

2y - 3x = 6

First, isolate "y" on one side of the equation:

2y = 3x + 6

Next, divide both sides by 2 to solve for "y":

y = (3/2)x + 3

Now we can see that the gradient (slope) of the line is (3/2).

Now, let's analyze the three lines AB, BC, and CA, formed by the points A(-5, -12), B(11, -4), and C(7, 6).

The gradient (slope) of the line AB can be calculated using the coordinates of points A and B:

Gradient of AB = (Change in y) / (Change in x) = (-4 - (-12)) / (11 - (-5)) = 8 / 16 = 1/2

The gradient (slope) of the line BC can be calculated using the coordinates of points B and C:

Gradient of BC = (Change in y) / (Change in x) = (6 - (-4)) / (7 - 11) = 10 / (-4) = -5/2

The gradient (slope) of the line CA can be calculated using the coordinates of points C and A:

Gradient of CA = (Change in y) / (Change in x) = (-12 - 6) / (-5 - 7) = -18 / (-12) = 3/2

Now, we compare the gradients of the lines AB, BC, and CA to the gradient of the line 2y - 3x = 6 (which is 3/2). We see that the line CA has the same gradient (3/2) as the line 2y - 3x = 6.

So, the line CA is parallel to the line 2y - 3x = 6.

Evaluate the summation of 2 n plus 5, from n equals 1 to 12..

Answers

Given:
2n + 5

n = 1 to n = 12

2(1) + 5 = 2 + 5 = 7
2(2) + 5 = 4 + 5 = 9
2(3) + 5 = 6 + 5 = 11
2(4) + 5 = 8 + 5 = 13
2(5) + 5 = 10 + 5 = 15
2(6) + 5 = 12 + 5 = 17
2(7) + 5 = 14 + 5 = 19
2(8) + 5 = 16 + 5 = 21
2(9) + 5 = 18 + 5 = 23
2(10) + 5 = 20 + 5 = 25
2(11) + 5 = 22 + 5 = 27
2(12) + 5 = 24 + 5 = 29

Sum: 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 = 216

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Answers

let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37

Answer:

D. 4r + 3(10 - r) = 37

Step-by-step explanation:

worked on edge 2022