All categories

3 years ago

What is the sum of the polynomials? (8x^2-9x^2-4x)+(x^2-3y^2-7x)

Mathematics

1 answer:

Shtirlitz [24]3 years ago

6 0

The sum of the polynomials is -11x - 3y^2.

In order to find this we must first collect all like terms. To start, we'll begin with all x^2 terms.

8x^2 - 9x^2 + x^2 = 0

Since these all cancel, we're left with no x^2 term. Next we'll do x terms.

-4x - 7x = -11x

The only thing left is -3y^2, which has no alike term. so we just include that in there.

-11x - 3y^2

You might be interested in

when janet runs her average step length is 36 inches. how many steps would she have to take to run 1 mile?

erica [24]

Answer:

Step-by-step explanation:

1 mile divided by 36 inches equals 1760 inches and if there are 30 inches in a step, we would divide 1760 by 30 and then the answer would be 58.6666666667 but if you don't need the decimal, we can take and round this to 59 and then we have our answer.

3 0

3 years ago

Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

3 years ago

A baseball player has made 32 free throws in 45 attempts for current success rate of 71%. How many consecutive free throws must

s344n2d4d5 [400]

Answer: The player need to make 2 consecutive free throws to raise the average to 75%.

Step-by-step explanation:

Let the number of extra consecutive free throws to raise the average to 75% be 'x'.

Number of free throws already taken = 32

Number of attempts = 45

According to question, it becomes,

$\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75$

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.

6 0

3 years ago

Find an equation for the inverse for each of the following.

IgorLugansk [536]

Answer:

To solve these first swap x and y, solve for y and name it inverse function

3. y = -8x + 2

x = -8y + 2
8y = -x + 2
y = -x/8 + 2/8
y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4. y = (2/3)x - 5

x = (2/3)y - 5
(2/3)y = x + 5
y = (3/2)x + (3/2)5
y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. f(x) = 2x² - 6

x = 2y² - 6
2y² = x + 6
y² = 1/2x + 3
y = $\sqrt{1/2x + 3}$

f⁻¹(x) = $\sqrt{1/2x + 3}$

-----------------------------------------

6. y = (x - 3)²

x = (y - 3)²
$\sqrt{x}$ = y - 3
y = 3 + $\sqrt{x}$

f⁻¹(x) = 3 + $\sqrt{x}$

4 0

2 years ago

How to do proportional triangles

harina [27]

Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Step-by-step explanation:

7 0

3 years ago