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3 years ago

11

What property is this? (3x+12y)+(10x-5y)

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

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Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

3 0

3 years ago

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

$10x^2-19x+6$

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

$10x^2-19x+6=0$

$10x^2-15x-4x+6=0$

$5x(2x-3)-2(2x-3)=0$

$(5x-2)(2x-3)=0$

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0

3 years ago

On a recent trip to a computer store you purchased one software package for 24.99 and three printer cartridges the total bill wi

DanielleElmas [232]

Answer:

The price of a single printer cartridge is 19.69, in your given currency.

Step-by-step explanation:

First remove the tax and the software package from the total bill.

$90.01 - 24.99 - 5.95 = 59.07$

Since there are 3 cartridges, you divide 59.07 by 3, giving you the price of a single cartridge.

$59.07 \div 3 = 19.69$

8 0

3 years ago

What is 1/10 of 12.5 miles?

vazorg [7]

Answer:

1.25

Step-by-step explanation:

(1/10) x 12.5

4 0

3 years ago

Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775

Reil [10]

Answer:

792, 784, 775, 675, 645, 434, 432, 415, 342, 324.

8 0

3 years ago