HELP NEEDED!!! NOW PLZ

What is the name of the property given below if a b = 0 then a = 0 b = 0 or both a = 0 and b = 0?

Natalija [7]

for the product to be zero at least one of the factors must be zero.
If a x b = 0 then a = 0 and/or b = 0

The answer is zero product property

6 0

3 years ago

Read 2 more answers

Let ff be the function that assigns to each student in the class her biological mother.

hoa [83]

Answer:

a) There cannot be sibling in the class.

b) This larger function would have an inverse only if there are no siblings studying in the same school.

Step-by-step explanation:

The inverse of a function f is a function g that "reverses" f. In other words, if the function f is applied to an x and it gives a result of y, then applying the function g to y gives the result of x. f(g(x)) = x.

For a function f to have an inverse, the function f has to give only one value y, when applied to an x.

a. In order for f to have an inverse, what condition must be true about students in the class?

So now, we have that f assigns each student in the class her biological mother.

Therefore, the set of X formed by the students in the class

And Y refers to their biological mother.

If we want f to have an inverse, then each mother should be assigned to only one student.

This means that the condition that must be true is that there cannot be brothers/sisters in the same class (for example, twins).

b. If we enlarged the domain to include all students in the school, would this larger domain function have an inverse.

Applying the same thinking, for f to have an inverse, every mom should be assigned to only one student.

Therefore, for this larger domain, there shouldn't be brothers/sisters studying in the same school.

8 0

2 years ago

If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

Shkiper50 [21]

Answer:

The area increase by 225%

Step-by-step explanation:

attachment of a triangle

The area of a triangle equilateral is calculated with the next formula:

A= $\frac{a*h}{2}$

$h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$

$h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3

h= $\sqrt{\frac{a^{2}*3 }{4} }$

h= $\frac{\sqrt{3}*a }{2}$

replacing in the A equation:

A= $\frac{a*\sqrt{3}*a }{2*2}$ 

A= $\frac{\sqrt{3}*a^{2} }{4}$ 

Now each side increse by 50% ⇒ a=1.5a

A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ 

A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ 

A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ 

It means that the area incrase by 225%

6 0

3 years ago

For the equations given below, which statement is true?

allochka39001 [22]

Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Step-by-step explanation:

You know that the first equation is:

$-3x-8=19$

And the second equation is:

$-3x-2=25$

According to the Addition property of equality:

If $a=b$ ; then $a+c=b+c$

Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:

$-3x-8=19\\\\-3x-8+(6)=19+(6)$

$-3x-2=25$

Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.

If you want to verify this, you can solve for "x" from both equations:

- First equation:

$-3x-8=19\\\\-3x=19+8\\\\x=\frac{27}{-3}\\\\x=-9$

- Second equation:

$-3x-2=25\\\\-3x=25+2\\\\x=\frac{27}{-3}\\\\x=-9$

5 0

2 years ago

What is the quotient?

yuradex [85]

Answer:

-1.58208955224

Step-by-step explanation:

DO THE MATH

5 0

2 years ago