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3 years ago

6

14. Work needed to solve the problem: April can buy a package of 10 folders for $1.20 or a package of 8 folders for $1.12. What

is the unit price per folder, in each package?

1 answer:

Mars2501 [29]3 years ago

5 0

Answer:

1.20 divided by 10 = .12 cents per folder

1.12 divided by 8 = .14 cents per folder

Step-by-step explanation:

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Explain the relationship between the slope and the derivative of f(x) at xequals=a

Makovka662 [10]

I am not sure but i think the slope is a line on a graph like posative negetive zero and undifined.

5 0

3 years ago

A function is in the form g(x) = (x - c)2 + d. If cis positive and dis negative,

Norma-Jean [14]

Answer:

Step-by-step explanation:

This is written in vertex notation, meaning that (c,d) is the vertex. We know that c is positive and d is negative, meaning the vertex will be in the 4th quadrant. As for whether the parabola opens upwards or downwards, the quadratic term has a positive coefficient of 1, meaning the parabola opens upwards.

Hope this helps!

7 0

2 years ago

Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over

Darina [25.2K]

Answer:

$\frac{y-x}{x+y}$

Step-by-step explanation:

We are given that fraction

$\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}$

We have to find the expression which is equivalent to given fraction .

$\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}$

$\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}$

Substitute the values then, we get

$\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}$

We know that

$\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}$

Using the property then, we get

$\frac{y-x}{xy}\times \frac{xy}{x+y}$

$\frac{y-x}{x+y}$

This is required expression which is equivalent to given expression.

6 0

3 years ago

Read 2 more answers

What is 3x² + 3x - 36 and x² - 3x - 28 in factored form?

satela [25.4K]

Answer:

3x² + 3x - 36=

(3x+12)(x-3)

x² - 3x - 28=

(x+4)(x-7)

Step-by-step explanation:

For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".

For more info on the cross method.

Here it is:

https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm

Hope you enjoyed :D

3 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.

qwelly [4]

Answer:

The equation is $y=x-9$

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is: $y=mx+b$

Where m is the slope and b is the y-intercept value.

$y=1x-2$

Therefore the slope is

$m=1$

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:

$(y-y1)=m(x-x1)$

Where m is the slope and $(x1,y1)$ is a point the line passes through.

Substituting the information from the problem gives:

$(y- (-7)=1(x-2)$

$(y+7)=1(x-2)$

Or, we can solve for y to put the equation in slope-intercept form:

$y+7=x-2$

$y+7-7=x-2-7$

$y+0=x-9$

$y=x-9$

3 0

2 years ago