Find the output y when the input x is -5
y=?

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

a) (2xy + 4x) + (15xy - 5x)  = 2xy + 15xy + 4x - 5x

                                         = 17xy - x

b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b²  - 3 - 5

                                           = 6a + 7b² - 8

c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x²  + 4x - 5x

                                               = 4x³  + 5x² - x

d) (7b - 6a  + 9y) - (12b + 5a - 2y) =

In subtraction, add the additive inverse of (12b + 5a - 2y)

additive inverse = - 12b  - 5a  + 2y

(7b - 6a  + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y  -12b -5a + 2y

                                                   = 7b - 12b  -6a - 5a  + 9y + 2y

                                                   = -5b - 11a + 11y

e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)

Additive inverse of  13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y

(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y

                    = 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y

                    = -2x²  - 6x  - 7 + 15y

Answer:

if i am not mistaking it got to be c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First you subtract 325 from 75 then divide the answer by 10

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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add it and you will get 24 so pick D

Answer:

3/2

Step-by-step explanation:

y2 - y1/ x2 - x1

7 -(-5) / 6 - (-2)

12/ 8

3/2

Answer:

6 x 10^5 is 300 times greater than 2 x 10^3.

Step-by-step explanation:

Use division to compare.

(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300

6 x 10^5 is 300 times greater than 2 x 10^3.

There is 6 × 10⁵ is 300 times greater than 2 × 10³.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The exponents are given in the question, as follows:

6 × 10⁵ and 2 × 10³

The exponents in scientific notation as a shorthand for the number of zeroes in the number.

We use division to compare.

( 6 × 10⁵)/(2 × 10³)

= 6/2 × 10⁵/10³

= 3 × 10²

= 3 × 100

= 300

This means 6 × 10⁵ is 300 times greater than 2 × 10³

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Step-by-step explanation:

hope it is helpful to you

Answer:

422.4

Step-by-step explanation:

MP=480

Discount%=12%

SP=?

We know that,

SP=MP-Discount%of MP

=480-12%×480

=480-57.6

=422.4

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

Answer:

Area of the cabinet to be painted =    56 ft²

Step-by-step explanation:

The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.

Surface Area= 2 lb+ 2hb + 2lh

where l = length , b= breadth and h= height.

From the figure we see that the area of the bottom is given by length * breadth  so deducting this from the total surface area of the cuboid gives the surface of the cabinet.

Area of the cabinet  to be painted=  lb+ 2hb + 2lh

Putting the values we get

Area of the cabinet to be painted =  lb+ 2hb + 2lh

                                              = 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)

                                                = 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)

                                              = 4+ 2(8) +2(18)

                                               = 4+16+ 36

                                               56 ft²

This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.

Answer: 142 degrees

mBC = 52

mCD = 90

90 + 52 = 142

Answer: =25a−20

Step-by-step explanation: Hope this help :D

Answer:

Add 15a and 10a. 25a−20

Step-by-step explanation:

Answer:

A C E

Step-by-step explanation:

Answer:

If you were to attach the shape, I could help.

Answer:

decimal: .6

fraction: 3/5

A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible

Answer:

x=4,−1

Step-by-step explanation:

hope i helped

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and have a nice day:)

Answer:

n+5

Step-by-step explanation:

This is according to the commutative property of addition. 5+n is n+5 written backwards.

Answer: 192 ft

Step-by-step explanation:

The area of the walkway will be 96 square feet.

Hence, The correct option is C.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that;

The dimensions of the crosswalk are,

19 feet

And, 5 feet

Hence, The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, The area will be equal to 96 square feet.

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Answer:

60,000 people

Step-by-step explanation:

Given the number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240,

x is the number of years after 2014

We can find the number of people that bought the cell phone in 2020. In year 2020, that will be after 6years

Substitute x = 6 into the expression

y=-30x+240

y=-30(6)+240,=

y = -180 + 240

y = 60

Since y is in thousands, hence the the number of people that have bought the cell phone by 2020 is 60,000 people

Answer: D

Step-by-step explanation:

36.20/10= 3.62

3.62x7= 25.34

$25.34

Answer:

Step-by-step explanation:

y = 5

All sides measure the same So 8y= 40          y = 5

x = 30 degrees

The straight line of 40+40 is a straigth angle of 180 Each angle of equilateral triangle is 60 degrees.So its supplementary is  120.The other 2 angles need to add to 60 (30 each) to sum 180 in a triangle

Answer:

40

Step-by-step explanation:

[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]

[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]

[tex]17.5x - 47.5 = 7x + 5[/tex]

[tex]17.5x = 7x + 52.5[/tex]

[tex]10.5x = 52.5[/tex]

[tex]x = 5[/tex]

Plug 5 in for 7x+5.

[tex]7(5) + 5 = 40[/tex]

Answer:

Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.

Step-by-step explanation:

Answer:

your answer will be A.π(12.1)²

Step-by-step explanation:

hope it helps...

have a great day

Answer:

option A

is the correct answer of this question π(12.1)^2

hope it helps and your day will be full of happiness.

^_^

Answer:

half of 11 is: 5.5

5.5 x 3.14 x 2 = 34.54

Answer:

Step-by-step explanation:

[tex]46.2 \: {ft}^{2} [/tex]

Yha it is bad question :)

I hope that is useful for you

Answer:

top left

Step-by-step explanation:

it goes through the most dots