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3 years ago

. Find the sum of the following polynomials.

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer ad Step-by-step explanation:

1. Adding 10mn and -15mn.

10mn + -15mn = -5mn.

2. Adding $-7a^{2}$ and $-8a^{2}$ .

$-7a^{2} + -8a^{2} = -15a^{2}$ .

3. Adding 6(x + 3) and -7(x + 3).

6x + 18 + -7x - 21

x - 3.

4. Adding ?

5. Adding 0.5xyz and 1.5 xyz.

0.5xyz + 1.5xyz = 2xyz.

#teamtrees #PAW (Plant And Water)

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Answer this questions please!!!

Svetradugi [14.3K]

Answer:

sin^2 x

Step-by-step explanation:

By the formula,

sin^2 x + cos^2x = 1

so, 1 - cos^ 2 x = sin ^2

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3 years ago

the width of a rectangle is 2 units less than the length. the area of the rectangle is 63 units.what is the length, in units, of

Mice21 [21]

Answer: 9

Step-by-step explanation:

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id

dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0

3 years ago

What is 38 divied by 7 in long division

notsponge [240]

Answer: 5.43

Step-by-step explanation:

4 0

3 years ago

26 customers are eating dinner at a local diner. Of the 26 customers, 20 order coffee, 8 order pie, and 7 order coffee and pie.

zloy xaker [14]

The probability that a customer orders coffee or pie is 21/26 or 0.8

Step-by-step explanation:

It is given that,

26 customers are eating dinner at a local diner.

The total number of customers = 26

Of the 26 customers,

20 order coffee
8 order pie and
7 order coffee and pie.

To find the probability that a customer orders coffee or pie :

The formula used is P(A or B) = P(A) + P(B) - P(A∪B)

Here,

The event A is ordering coffee.
The event B is ordering pies.

P(coffee) = No.of customers order coffee / Total customers

⇒ 20 / 26

P (pie) = No.of customers order pie / Total customers

⇒ 8 / 26

P (coffee and pie) = No.of customers order both / Total customers

⇒ 7 / 26

P (coffee or pie) = P(coffee) + P(pie) - P (coffee and pie)

⇒ 20/26 + 8/26 - 7/26

⇒ 21/26

⇒ 0.8

∴ The probability that a customer orders coffee or pie is 21/26 or 0.8

5 0

3 years ago