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kobusy [5.1K]
3 years ago
14

If y = (x-5)(x+7) then what does x equal?

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

x = 5, x = -7

Step-by-step explanation:

If you mean find the roots, then x = 5 and x = -7

Because roots makes the equation equal to 0 and 5 - 5 = 0 and -7 + 7 = 0

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
2 years ago
A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression
alexira [117]
<h2>Hello!</h2>

The answer is:

The correct option is

a) Resultant=\sqrt{22^{2} +4^{2} }

<h2>Why?</h2>

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

c=\sqrt{a^{2}+b^{2}}

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

a=22mph

b=4mph

So, calculating the resultant force (hypothenuse), we have:

Resultant=\sqrt{22^{2} +4^{2} }

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

4 0
3 years ago
Math is killing me right now. Help.
creativ13 [48]

Answer:

it 85 to the third power

Step-by-step explanation:

i gotchu gng

4 0
1 year ago
Read 2 more answers
wat iz 9999999999999999999999999999999999999999999999999999999+99999999999999999999999999999999999999999999999999999999999999999
choli [55]
Ahbfiubauehfiouabcbaiu
5 0
3 years ago
The sets A, B, and C are defined as follows:
PilotLPTM [1.2K]

The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

<h3>Product of sets</h3>

Given the following sets

A = {tall, grande, venti}

B = {foam, no-foam}

C = {non-fat, whole}

The set of A * B is expressed as:

A * B = {tall foam, tall no foam, grande foam, grande no foam, venti foam, venti nofoam}

A × B × C =  {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

Learn more on set notation here: brainly.com/question/24462379

8 0
1 year ago
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