Does this graph show a function? Explain how you know.
Does this graph show a function? Explain how you know. - 1

Answers

Answer 1
Answer:

Answer:

Option C, functions can only have one y-value at any given x-place


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Rewrite the simplest term for ( -x-7y) - (-3x+9y)

Answers

Answer:

2x - 16y

Step-by-step explanation:

To rewrite the expression in the simplest term, we can distribute the negative sign in the second set of parentheses:

( -x-7y) - (-3x+9y)

= -x-7y + 3x-9y

Then, we can combine the x and y terms:

= -x + 3x - 7y - 9y

Finally, we can simplify the expression by canceling out the x terms:

( -1 + 3 )x - 7y - 9y

= 2x - 16y

Therefore, the simplest term for the expression is 2x - 16y.

Answer:2(x−8y)

Step-by-step explanation:

To find the opposite of −3x+9y, find the opposite of each term.

−x−7y−(−3x)−9y

The opposite of −3x is 3x

.−x−7y+3x−9y

Combine −7y and −9y to get −16y

.−x−16y+3x

Combine −x and 3x to get 2x.

2(x-8y)

(3/4)(12x-8)-5x how do I solve this?

Answers

(3)/(4)*(12x-8)-5x=(3(12x-8))/(4)-5x=(36x-24)/(4)-5x=(36x-24)/(4)-5x=
=9x-6-5x=4x-6

Answer:

4-6x

Step-by-step explanation

A cylindrical paint can has the capcity of one gallon. for another size can, the height is doubled what is the capacity of the larger size?

Answers

To understand the answer you will need to know that when you change any number of dimensions, the outcome will be affect in the same way based on the number of dimensions that were changed and what measurement you need.  A three dimensional measurement such as volume will only be affect by how many of those 3 dimensions are actually changing.  In this example, there is only 1 dimension changing (the height), so the total volume will be affected in the same way, only one time doubled.  

1 gallons x 2 = 2 gallons.

The capacity will be 2 gallons.

Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its image?Please show all work and not just the answers.

Answers

Answer:

  P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

  (x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

  (x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

__

Additional comment

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:

  • 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
  • 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
  • 180°: (x, y) ⇒ (-x, -y)

Find three points and then graph: y 3/4x-1

Answers

y = 3/4x - 1
to find points, plug in a value for x and solve for the y. 

i'm going to start with x =4, and solve for a y

y = 3/4(4) -1
y = 3 - 1
y = 2

The point is (4,2)

Find two other values by choosing two other x values and then you can graph the line

Hope this helps!
y= (3)/(4)x-1\n\ny=0\ \ \to\ \  (3)/(4)x-1=0\ \  | \ add\ 1\ to\ both\ sides\n\n \frac{3} {4}x=1\ \ | \ multiply\ both\ sides\ by\ (4)/(3) \n\nx= (4)/(3)\n( (4)/(3),0)\n\n x=0\ \ \to\ \ y= (3)/(4)*0-1=-1\n(0,-1)

A cell phone company orders 600 new phones from a manufacturer. If the probability of a phone being defective is 3.5%, predict how many of the phones are likely to be defective. Round to the nearest whole number.A) 18 phones
B) 210 phones
C) 21 phones
D) 26 phones

Answers

To calculate percetages, move the decimal point 2 places to the left.

3.5% = 0.035

Then multiply by the decimal: 

600 • 0.035 = 21

Your answer is C: 21 phones