Same points yall 5+4x x=8

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking 5 common from $5y+10$ and y common from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking LCM and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago

Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct o

inn [45]

Answer: neither direct variation nor inverse variation.

Explanation:

1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.

Note that if y / x is constant, x / y is also constant.

In a direct variation, when x increases, y increases, and when x decreases, y decreases.

2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.

In an inverse variation when one of the variables increases the other decreases.

3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x y y/x y×x

-6 -72 -72/(-6) = 12 (-6)(-72) = 432

-4 -47 -47 / (-4) = 11.75 (-4)(-47) = 188

-3 -36 -36 / (-3) = 12 (-3)(-36) = 108

1 12 12 / 1 = 12 (1)(12) = 12

Conclusions;

a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.

b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

y = 12x.

8 0

4 years ago

Tubby Toys estimates that its new line of rubber ducks will generate sales of $7 million, operating costs of $4 million, and a d

Sati [7]

Answer:

2.5m

Step-by-step explanation:

Using the adjusted accounting profits method.

Operating cash flow = After - tax profit + Depreciation. .......... ( 1 )

Given that :

* depreciation expense = $1 million

* Sales generated $7 million

* Tax rate = 25%

Tax rate = 25/100

= 0.25

From equation 1

= ( 7m - 4m - 1m ) ×( 1 - 0.25 ). + 1m

= ( 7m - 5m ) × ( 0.75 ) + 1m

= 2m × 0.75 + 1m

= 1.5m + 1m

= 2.5m

The firm operating cash flow = 2.5m

7 0

3 years ago

Rename the number. 720=----------tens

bonufazy [111]

720 is 72 tens.
720/10=72

3 0

3 years ago

Read 2 more answers

What is the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3? x = (startfraction

garik1379 [7]

The x-coordinate of the point which divide the line segment is 3.

Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.

When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.

To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.

Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).

Now, we will substitute these values in the formula, we get

x=(1/(1+3))(9-1)+1

x=(1/4)(8)+(1)

x=8/4+1

x=3

Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.

Learn about line segments from here brainly.com/question/10240790

#SPJ4

4 0

2 years ago