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3 years ago

Explain why 2+x and x+3 are equivalent

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Check whether the two expressions 2x+3y2x+3y and 2y+3x2y+3x equivalent.

The first expression is the sum of 2x2x 's and 3y3y 's whereas the second one is the sum of 3x3x 's and 2y2y 's.

Let us evaluate the expressions for some values of xx and yy . Take x=0x=0 and y=1y=1 .

2(0)+3(1)=0+3=32(1)+3(0)=2+0=22(0)+3(1)=0+3=32(1)+3(0)=2+0=2

So, there is at least one pair of values of the variables for which the two expressions are not the same.

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in one study of smokers who tried to quit smoking with nicotine patch therapy 39 were smoking one year

andrey2020 [161]

Answer:

Step-by-step explanation:

8 0

3 years ago

A radio station had 120 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tick

enyata [817]

Step-by-step explanation:

If the tickets given to employees = 40

Then tickets given to listeners = 2 x no of employees tickets

= 2 x40 = 80

Total tickets = 40+ 80 = 120

8 0

3 years ago

Find the quotient when x2 + 10x + 21 is divided by x + 7

Alja [10]

Answer:

The quotient is $x+3$

Step-by-step explanation:

We first use the remainder theorem to determine whether $x+7$ is divisible by

$x^2+10x+21$ :

$(-7)^2+10(-7)+21\\ = 49 - 70+21 = 0$

the remainder is zero which means $x^2+10x+21$ is divisible by $x+7$ .

Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.

$x^2+10x+21$

is factored as

$x^2+10x+21 = (x+7)(x+3)$

which means

$\dfrac{x^2+10x+21}{x+7} =(x+3)$

which means the quotient is $x+3.$

5 0

2 years ago

2x - 4<br> ——— =4<br> 5<br> Pls solve

Svetlanka [38]

Step-by-step explanation:

cross multiply

2x - 4 = 4 × 5

2x - 4 =20

collect like terms (CLT)

2x = 20 + 4

2x=24

divide both sides by 2

x=12

7 0

3 years ago

Which of the following best explains why

Dima020 [189]

We can see values of angles in degrees first

$\frac{5\pi}{6} = \frac{5 \times 180}{6}= \frac{900}{6}$ = 150°

Similarly

$\frac{5\pi}{3} = \frac{5 \times 180}{3}= \frac{900}{3}$ = 300°

Now reference angle means positive acute angle they will have

As we can see in attachment 150° lies in second quadrant so its reference angle will be 180°-150° = 30° from x axis line as shown.

Where as angle 300° lies in fourth quadrant so its reference angle will be 360° - 300° = 60° from x axis as shown. So clearly both reference angles are different . So 1st choice " angles donot have same reference angle" best explains it

Choice (2) and (3) are incorrect as tan is positive only in first and third quadrants and angle 300° is in fourth quadrant.

since angle 150° is in second quadrant and 300° is in fourth quadrant so both will have same negative sign so choice (4) is not correct.

So final ansewr is choice (1) "the angles donot have same reference angle"

8 0

3 years ago