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frez [133]
3 years ago
8

padma works as a babysitter. she charges a $10 fee to cover her transportation costs plus $13 fee to watch for one child. write

and equation that gives her total pay ,y, for a job lasting x hours
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

y = 13x + 10 is a proper equation for this word problem

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Diego is solving the equation x^2-12x = 21
uysha [10]

Answer:

The solutions to the quadratic equations will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

Step-by-step explanation:

Given the expression

x^2-12x\:=\:21

Let us solve the equation by completing the square

x^2-12x\:=\:21

Add (-6)² to both sides

x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2

simplify

x^2-12x+\left(-6\right)^2=57

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

x^2-12x+\left(-6\right)^2=\left(x-6\right)^2

so the expression becomes

\left(x-6\right)^2=57

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-6=\sqrt{57}

add 6 to both sides

x-6+6=\sqrt{57}+6

Simplify

x=\sqrt{57}+6

also solving

x-6=-\sqrt{57}

add 6 to both sides

x-6+6=-\sqrt{57}+6

Simplify

x=-\sqrt{57}+6

Therefore, the solutions to the quadratic equation will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

5 0
2 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
What is 3.375 written as a fraction in simplest form
gogolik [260]

27/8

try the internet, it helps

7 0
2 years ago
20% of a number is xx. What is 100% of the number? .
ludmilkaskok [199]
So you said 20% is xx???
If 20% is xx or x^2 (x squared) then 100% must be 5x^2, since 20% times 5 would get you 100%.
5 0
3 years ago
6/15 as a percentage
alukav5142 [94]

Answer:

40 percent

Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100 

4 0
3 years ago
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