Given the function g of x is equal to the quantity 2 x squared plus 3 x plus 5 end quantity over the quantity x plus 3 end quantity determine the equation for the slant asymptote.

y = –2x + 3
y = 2x + 3
y = 2x – 3
y = 2x + 9

Answer:

I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.

[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

2x + 3y = 10

2(2) + 3y = 10

4 + 3y = 10

3y = 10 - 4

3y = 6

y = 6/3

y = 2

If y is 0

Then ,

2x + 3y = 10

2x + 3(0) = 10

2x + 0 = 10

2x = 10

x = 10/2

x = 5

If x is 8

Then ,

2x + 3y = 10

2(8) + 3y = 10

16 + 3y = 10

3y = 10 - 16

3y = -6

y = -6/2

y = -3

[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

3x - y = 4

3(2) - y = 4

6 - y = 4

-y = 4 - 6

-y = -2

If y is 2

Then ,

3x - y = 4

3x - 2 = 4

3x = 4 + 2

3x = 6

x = 6/2

x = 3

If x is 4

Then ,

3x - y = 4

3(4) - y = 4

12 - y = 4

-y = 4 - 12

-y = -8

Answer:

LM = 24 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle to find JL

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )

JL = 8

Then

LM = JL + JM = 8 + 16 = 24 cm

Answer

The answer is D. 5

Answer:

2.5/.5 = 5 Anything that is divided by 0.5 or 1/2 is double the number it's getting divided by. 2.5 doubled is 5

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

0,-5 is the marking if that's your answer to the question

Answer:

-8/3x

Step-by-step explanation:

-8 / 3x / 1

-8 / 3x

.....

..

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

Answer:

b=4 makes the equation a perfect square.

Step-by-step explanation:

As long as you factorize out the equation, you'll get a result of (x+2)^2. This multiplied using foil gives you, x^2 + 2x + 4. Making it a perfect square. You could also have -2 = b which makes a perfect square, but that's not in the options.

Answer:

4

Step-by-step explanation:

The constant term 4 is obtained by

adding (half the coefficient of the x- term)²

4 = 2²

Then b = 4

x² + 4x + 4 = (x + 2)² ← a perfect square

Answer:

6

Step-by-step explanation:

Initial problem:

3x - 5 = 2x + 3 - (x - 4)

First, distribute the minus sign to the parentheses:

3x - 5 = 2x + 3 - x + 4

Next, combine like terms:

3x - 5 = x + 7

Subtract x from both sides:

2x - 5 = 7

Add 5 to both sides:

2x = 12

Divide both sides by 2:

x = 6

[tex]\\ \sf\longmapsto side=\dfrac{Diagonal}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto Side=\dfrac{3\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto Side=3cm[/tex]

Now

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto Area=(3)^2[/tex]

[tex]\\ \sf\longmapsto Area=9cm^2[/tex]

Answer:

Step-by-step explanation:

Volume formula:

Given:

Find the volume:

Answer :-

Total height = 4.5 × 4.5 × 4.5 = 91.125 cm

Radius = Diameter/2

Radius = 4.5/2 = 2.25 cm

Volume = πr²h

Volume = π (2.25)² × 91.125

Volume = π × 12.25 × 91.125

Volume = 1116.2 π cm³

Answer:

(-2,6)

Step-by-step explanation:

I took the test

Answer: sqrt 8 = 2 sqrt2

Step-by-step explanation:

d = sqrt [(0–2)^2+(2-4)^2]

= sqrt (2^2 + -2^2)

= sqrt 8

Simplify: 2 sqrt2

Answer:

x²+5x

Step-by-step explanation:

You can make (f-g)(x) into (x) - (-x²-4x) because f(x)=x and g(x)=x²-4x

(x)-(-x²-4x) can simplify into x+x²+4x once you distribute the negative sign.

x+x²+4x simplifies into x²+5x.

So your final answer is x²+5x.

I hope it's right and this helps!

Answer:

Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Step-by-step explanation:

[tex](6x^2-5x+7)(3x+4)[/tex]

[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]

[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]

[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]

[tex]=18x^3+9x^2+x+28[/tex]

Answer:

-43

Step-by-step explanation:

If a = 6.

B= -1 - 7a. a=6. 7a=42

B = -1 - 42 = -43

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^

Step-by-step explanation:

a) given slope=m1=4/b

parallel slope=m2=-8

when two lines are parallel their reltion of slopes is:

m1=m2

4/b=-8

b=-4/8

b=-1/2

b) m1=4/b , m2=3/4

when slopes are perpendicular their relation of slopes is:

m1×m2=-1

4/b × 3/4=-1

3/b=-1

b=-3

Note:if you need to ask any question please let me know.

Answer:

[tex]9m^5n^-7[/tex]  = [tex]\frac{ 9m^5}{n^ 7}[/tex]

Step-by-step explanation:

Answer:

3^16 cells

Step-by-step explanation:

The scientist has 3^15 cells. If we triple the number of cells, we multiply this amount by 3

3 * 3^15 = 3^1 * 3^15

Remember your laws of exponents: we add the exponents here.

3^(1+15) = 3^16

Answer:

5x2=10.This is less informative but there was no equation soooo

Step-by-step explanation:

Or y x z = 10/ ×

[tex]\huge\text{Hey there!}\\\\\bullet\huge\textsf{ Assuming the equations is: \underline{x + y + z} or \underline{xyz}}\\\\\\\huge\textsf{If \text{x + y + z}}\\\huge\text{x + y + z}\\\huge\text{= 10 + 5 + 2}\\\huge\text{= 15 + 2}\\\huge\text{= 17}\\\huge\boxed{Possible\ answer\ \#1: 17}\\\\\huge\textsf{If xyz}\\\huge\text{xyz}\\\huge\text{= 10(5)(2)}\\\huge\text{= 50(2)}\\\huge\text{= 100}\\\huge\boxed{Possible\ answer\ \#2: 100}\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

coxkyxkyxoydoyd

Step-by-step explanation:

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