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3 years ago

Explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value

1 answer:

6 0

-4 -3 -2 -1 0 1 2 3
I______I_______I_______I_______I_______I_______I_______I

* start here, and ADD NEGATIVE 3... you go to 1

* start here, SUBTRACT 4 you go to -1

in other words adding a negative is the same as subtracting a postitve

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Marking brainliest! Please help

Ksju [112]

Answer:

I believe it would be -2

Step-by-step explanation:

The midpoint of (0,4) and (4,-8) is (2,-2)

7 0

3 years ago

What are the x-intercepts of the graph of the quadratic function

Svetllana [295]

Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: $0=5x^2+5x-x-1$

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: $0=5x(x+1)-1(x+1)$

Now you can rewrite the equation as: $0=(5x-1)(x+1)$

Now apply zero product property to the factors to solve for x:

$5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1$

The x-intercepts are (1/5 ,0) and (-1,0).

5 0

3 years ago

Which of the following expressions is correct? Select one: a. marginal cost = (change in quantity of output)/(change in total co

Natasha_Volkova [10]

Answer:

b. average total cost = total cost/quantity of output

Step-by-step explanation:

The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:

Marginal cost = change in total cost/ change in quantity

The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:

Average total cost = total cost / quantity of output

The total cost is obtained adding together the fixed costs and the variable costs, its formula is:

Total cost = fixed cost + variable cost

The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:

Average variable = variable cost / quantity of output

I hope you find this information useful and interesting! Good luck!

3 0

3 years ago

ABC has coordinates of A(-8,-8) B(4,-2) C(2,2). Find the coordinates of its image after the dilation centered at the origin with

garri49 [273]

Answer:

A' ( -12 , -12 )

B' ( 6 , -3 )

C' ( 3 , 3 )

Step-by-step explanation:

To find the coordinates of a point after a dilation simply multiply the x and y values of the points by the scale factor

Points: A(-8,-8) B(4,-2) C(2,2)

Scale factor: 1.5

Coordinates after the dilation

A' = (-8,-8) --------> (-8 * 1.5 , -8 * 1.5 ) ------------> (-12 , -12)

B' = (4,-2) ---------> (4 * 1.5 , -2 * 1.5) -----------> (6 , -3 )

C' = (2 , 2) ----------> (2 * 1.5 , 2 * 1.5) -----------> (3, 3)

So inclusion the coordinates of ABC after a dilation centered at the origin with a scale factor of 1.5 are A' ( -12 , -12 ) B' ( 6 , -3 ) C' ( 3 , 3 )

4 0

2 years ago

Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.

Elanso [62]

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

5 0

3 years ago

Read 2 more answers