Jasmine is half the age of her mother was 7 years agoIf Jasmine's mother is turning 34 next year, how old is Jasmine?

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5

saw5 [17]

The solution to x^2 - 4x = 5 is x = -1 or 5

<h3>How to solve the equation?</h3>

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

Read more about quadratic equations at:

brainly.com/question/10449635

#SPJ1

4 0

2 years ago

A-1/6<br> B-2/9<br> C-3/8<br> D-4/7

mash [69]

Answer:

3/8 is terminating decimal number. It's decimal value is 0.375

7 0

3 years ago

Solve this problem out

Virty [35]

Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3><u>Solution:</u></h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

<em><u>Expanding the above expression using algebraic identity:</u></em>

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

<em><u>There are two simple rules to remember: </u></em>

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

3 0

3 years ago

how high would a two story building be? what about a 10 story building?what about a 30 story building

Svetlanka [38]

Generally one story in a building would be ten feet or three meters, a ten story would be 100, and a 30 story building would be 300 and so forth.

6 0

4 years ago

A Gatorade cooler has 36 cups of water.if a serving is 3/4 of a cup how many servings are in the cooler?

Kisachek [45]

To find out we must divide total cups' amount by a serving's amount, so :

$\frac { 36 }{ \frac { 3 }{ 4 } } =36\cdot \frac { 4 }{ 3 } =\frac { 144 }{ 3 } =48$

There are 48 servings in the cooler.

4 0

3 years ago