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3 years ago

What is the slope of a parallel line m

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

2/3

Step-by-step explanation:

written in the standard form of Ax + By = C, so its slope is equal to –A/B, or –2/–3, which equals 2/3.

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Give an example of an even function and explain algebraically why it is even.

sveta [45]

There's lots of even functions, but two that come to mind are the absolute value function, IxI, and x^2. These are even because they are reflected over the y axis. Another way to find this is that (-x)^2 is equal to x^2 and so is I-xI, the algebraic method. Good luck!

8 0

3 years ago

Make this fraction to a decimal 6/11 show work

svp [43]

To change a fraction to a decimal divide the numerator by the denominator. 6÷11=.5454545454545 ANSWER: .5454545454545

3 0

4 years ago

Box со

Levart [38]

Answer:

The man has 6 GHc20.00 notes and 4 GHc10.00 left

Step-by-step explanation:

Given

Amount = 3 GH¢50.00, 7 GH¢20.00 and 5 GH¢10.00

Spendings = GH¢80,00

Required

Determine how many GH¢20.00 and GH¢10.00 notes left

The amount he has can be represented as:

$Amount = 3 * GHc50.00 + 7 * GHc20.00 + 5 * GHc10.00$

$Spendings = GHc80.00$

This can be represented as:

$Spendings = GHc50.00+GHc20.00+GHc10.00$

Represent:

GHc50.00 with x, GHc20.00 with y and GHc10.00 with z

So, we have:

$Amount = 3 * GHc50.00 + 7 * GHc20.00 + 5 * GHc10.00$

$Amount = 3 *x + 7*y + 5*z$

$Amount = 3x + 7y + 5z$

$Spendings = GHc50.00+GHc20.00+GHc10.00$

$Spendings =x+y+z$

Subtract the spendings from the total to get amount left

$Amount\ Left= 3x + 7y +5z - (x+y+z)$

$Amount\ Left= 3x + 7y +5z - x-y-z$

Collect Like Terms

$Amount\ Left= 3x-x + 7y-y +5z-z$

$Amount\ Left= 2x + 6y +4z$

Recall that, we have represented:

GHc50.00 with x, GHc20.00 with y and GHc10.00 with z

This means that, the man has 6 GHc20.00 notes and 4 GHc10.00 left

7 0

3 years ago

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y =2/x^(2) +9

allsm [11]

There can be an infinite amount of these

g(x) = 2/x ^ 2
f(x) = x + 9

but you can recheck this by substituting the g(x) back into the f(x)

6 0

3 years ago