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3 years ago

Subtract 1/4w + 4 from 1/2w + 3

Mathematics

2 answers:

solniwko [45]3 years ago

7 0

The answer is 1/4w - 1

DIA [1.3K]3 years ago

7 0

Answer:

(1/4)w - 1

Step-by-step explanation:

I think you meant, "Subtract (1/4)w + 4 from (1/2)w + 3."

Write (1/2)w + 3 first, with (1/4)w + 4 on the next line; then subtract:

(1/2)w + 3

-[(1/4)w + 4]

-----------------

(1/4)w - 1 (answer)

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R^3 +4r^2-25r-100<br><br> Help

Marina86 [1]

Answer:

The zeroes in this equation are -5, -4, and 5

Step-by-step explanation:

In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.

r^3 + 4r^2

r^2(r + 4)

Now the second half.

-25r - 100

-25(r + 4)

Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.

(r^2 - 25)(r + 4)

And we can further factor the first parenthesis using the difference of two squares

(r^2 - 25)(r + 4)

(r + 5)(r - 5)(r + 4)

Now that we are fully factored, set each parenthesis equal to 0 and solve for x.

r + 5 = 0

r = -5

r - 5 = 0

r = 5

r + 4 = 0

r = -4

7 0

2 years ago

What is the volume of a shipping cube with dimensions of 2 and 1/2 feet

Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where:

l: It's the side of the cube

According to the statement data:

$l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}$

Substituting in the formula we have:

$V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625$

Thus, the shipping cube volume is $15.625 \ ft ^ 3$

Answer:

$15.625 \ ft ^ 3$

6 0

3 years ago

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?

Darya [45]

Answer:

$4 \sqrt{2} i$

Step-by-step explanation:

We want to find the sum of

$\sqrt{ - 2} + \sqrt{ - 18}$

We can rewrite this as

$\sqrt{ 2 \times - 1} + \sqrt{ 18 \times - 1}$

This becomes;

$\sqrt{2} \times \sqrt{ - 1} + \sqrt{18} \times \sqrt{ - 1}$

Recall that;

$i = \sqrt{ - 1}$

This implies that;

$\sqrt{2} i + 3 \sqrt{2} i$

Combine like terms:

$4 \sqrt{2} i$

3 0

2 years ago

What is the scale factor of the dilation shown? Quadrilateral D E F G has side lengths 4, 10, 8, and 4. Quadrilateral D prime E

ira [324]

Answer:

i think the scale factor is 3:2

Step-by-step explanation:

To figure the total difference divide:

6 divided by 4 = 1.5

1.5 = 3/2

pls tell me if wrong

Hope this helps

8 0

2 years ago

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

Dimas [21]

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is $1.5 \times 10^8$

A number in <em>scientific notation</em> is given by:

$a \times 10^b$

In which $a \in [1, 10)$

To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.

In this problem, 1 AU = 150,000,000 km.

The comma has to move 8 places to the right, hence $b = 8$

Then, the measure is: $1.5 \times 10^8$

For more on scientific notation, you can check brainly.com/question/16394306

5 0

2 years ago