All categories

3 years ago

What is the quotient? x+5 divided by 3x2+4x+5

Mathematics

2 answers:

Lapatulllka [165]3 years ago

5 0

Answer:

We have to evaluate:

$\frac{3x^2+4 x +5}{x+5}\\\\=\frac{3x^2+15 x-11 x-55+55+5}{x+5}\\\\=\frac{3x^2+15 x-11 x-55+60}{x+5}\\\\= \frac{3 x \times (x+5)-11 \times (x+5)+60}{x+5}\\\\= \frac{3 x \times (x+5)}{x+5} -\frac{11 \times (x+5)}{x+5}+\frac{60}{x+5}\\\\= 3 x -11 +\frac{60}{x+5}$

Now the degree of numerator is less than degree of the denominator, so, further evaluation is not possible.

Remainder = 60

Quotient = 3 x -11

neonofarm [45]3 years ago

3 0

Answer:

hello : here is a solution

You might be interested in

Jimmy has to choose a coat and hat to wear outside. He has a choice of a red (R) or green (G) coat, and a choice of a blue (B) o

Andru [333]

Answer:

{GB,GY,RY,RB}

Step-by-step explanation:

Given : Jimmy has to choose a coat and hat to wear outside. He has a choice of a red (R) or green (G) coat, and a choice of a blue (B) or yellow (Y) hat.

To Find: What is the sample space for Jimmy's possible winter gear?

Solution :

Sample space : In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

To Form sample space

If he choose red coat(R) So, with that coat he can wear blue (B) or yellow (Y) hat.

So, sample space with red coat becomes {RY,RB}

Now If he choose green (G) coat So, with that coat he can wear blue (B) or yellow (Y) hat.

So, sample space with green coat becomes {GB,GY}

So, the sample space for the given situation is {GB,GY,RY,RB}

Hence the sample space for Jimmy's possible winter gear is {GB,GY,RY,RB}

8 0

3 years ago

PLS HELP ME XD, WHAT IS 1/4 x 24??

Tom [10]

Hello there!

The answer is 6!!

Hope i helped!

~ Zoe

3 0

3 years ago

Read 2 more answers

If < 5 is 112°, what is the measure of <2?

Over [174]

Answer:

45°

that is the answer have a nice evening

5 0

2 years ago

Help!!!!!!!!!!!!

labwork [276]

Answer:

None of the Above

Step-by-step explanation:

As it is given that

cosФ= 3/2

and Ф lies in quadrant 4

Now in quadrant 4 we know that by the rules of trigonometry that

cos Ф is positive in 4th quadrant also in 4th quadrant

and sinФ is negative in 4th quadrant

also we know that by simple rules of trigonometry in a right angled triangle

cos Ф= $\frac{Base}{Hypotenuse}$ = $\frac{3}{2}$

now from the law of trigonometry

cos²Ф+sin²Ф=1

From this we derive the value of sinФ

solving the equation

sin²Ф=1-cos²Ф

Putting in the values of cos Ф

sin²Ф=1- $(\frac{3}{2})^{2}$

sin²Ф=1- $(\frac{9}{4})$

solving the fraction

sin²Ф= $(\frac{4-9}{4})$

sin²Ф= $(\frac{-5}{4})$

so taking square root of both sides

$\sqrt{sin^{2}\alpha}=\sqrt{\frac{-5}{4} }$

here

$\alpha$ =Ф

so it becomes

sin Ф= $\frac{\sqrt{-5} }{2}$

as we know that in imaginary numbers

$\sqrt{-1}$ = ι

so the given becomes

sin Ф= $\frac{{-5ι} }{2}$

Which is the value of sin Ф

And in the given values we can see that it is none of the values

Also seeing the question we can see that the question is absurd because

cos Ф= base / hypotenuse

in our question we can see that base =3 and hypotenuse = 2

but in real geometry this is the rule that hypotenuse can never be smaller then base either it is equal to base or greater then base

the formula for finding value of finding hypotenuse is

hypotenuse ² = base ² + perp ²

so this formula shows that if perp is 0 then hypotenuse will be equal to base

in other cases it would be greater then base

5 0

3 years ago

Read 2 more answers

Correct answer.

skad [1K]

Answer:

18 inches

Step-by-step explanation:

Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches

To find: diameter of the larger cylinder

Solution:

Height of the larger cylinder (H) = 48 inches

Height of the smaller cylinder (h) = 32 inches

Diameter of the smaller cylinder (d) = 12 inches

Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches

As two cylinders are similar, their heights and radii are proportional.

$\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches$

Diameter of the larger cylinder = 2R = 2(9) = 18 inches

4 0

2 years ago