The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.
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3 0

3 years ago

If the roots of a quadratic equation are real,irrational,and unequal,the discriminant could have a value of

o-na [289]

Answer:

Step-by-step explanation:

The condition for the discriminant b² - 4ac is

If b² - 4ac > 0 then roots are real, irrational and unequal

If b² - 4ac > 0 and a perfect square, roots are real, rational and unequal.

Thus

b² - 4ac = 8

5 0

4 years ago

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A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest

solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2

Step-by-step explanation:

The formula for simple interest is

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 % = 0.04

Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

$\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}$

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

$\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}$

OK.

4 0

4 years ago

A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total a

Semenov [28]

Answer:

The width of the pathway is:

7 meters.

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

Area of a rectangle = length * width.

From which the width can be cleared:

Width of a rectangle = area / length.

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

Width of a rectangle = 240 m^2 / 16 m = 15 m.

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

Pathway width = Total width - Garden width.
Pathway width = 15m - 8m = 7 meters.

7 0

3 years ago