could i have some help? day 4 of online school and im already so confused lol..

Answer:(f/g)(x)=(1+2x)/(1-3x) where x<>0

Step-by-step explanation:

f(x)= 1/x+2= (1+2x)/x  ,   x<>0

g(x)=1/x-3=(1-3x)/x    , x<>0

=>f(x)/g(x)= (1+2x)/(1-3x)    ,  x<>0

Answer:

Given = A △ABC in which D and E are the mid-points of side AB and AC respectively. DE is joined .

To Prove : DE || BC and DE = 1 / 2 BC.

Const. : Produce the line segment DE to F , such that DE = EF. Join FC .

Proof : In △s AED and CEF, we have

AE = CE [∵E is the mid point of AC]

∠AED = ∠CEF[vert. opp.∠s]

and DE = EF [by construction]

∴ △AED ≅ △CEF [by SAS congruence axiom]

⇒ AD = CF ---(i)[c.p.c.t.]

and ∠ADE and ∠CEF ---(ii) [c.p.c.t.]

Now, D is the mid point of AB.

⇒ AD = DB ---(iii)

From (i) and (iii), CF = DB ---(iv)

Also, from (ii)

⇒ AD = || FC [if a pair of alt. int. ∠s are equal then lines are parallel]

⇒ DB || BC ---(v)

From (iv) and (v), we find that DBCF is a quadrilateral such that one pair of opposite sides are equal and parallel.

∴ DBCF is a ||gm

⇒ DF || BC and DF = BC [∵opp side of ||gm are equal and parallel]

Also, DE = EF [by construction]

Hence, DE || BC and DE = 1 / 2 BC

Answer:

A

Step-by-step explanation:

The standard form of an explicit formula for a geometric sequence is given by:

[tex]x_n=a(r)^{n-1}[/tex]

Where n is the nth term, a is the initial term, and r is the common ratio.

We are given that the first term is 5. Hence, a = 5.

Also, we are given that the second term is -10. Therefore, the common ratio r is -2, because we multiply the first term by -2 to acquire -10.

Substituting yields:

[tex]x_n=5(-2)^{n-1}, n\geq 1, n\in\mathbb{Z}[/tex]

(Note: Z means the set of all integers. This is required because the term number can only be positive starting from one. For instance, we can't have the 0th term or the 1.5th term.)

In conclusion, the answer is A.

Answer:

A. = 27 B. = 16

Step-by-step explanation:

A. 36/4 = 9 3X9 = 27

B. 36/9 = 4 4X4 =16

Answer: x > 8

2x - 7 > 9

2x > 9+7

2x > 16

2x / 2 > 16 / 2

x > 8

Answer: provided in the explanation section

Step-by-step explanation:

We will take this problem step by step to ensure we have easy understanding of the problem at hand.

(a). taking x as the number of pounds of the commodity costing $1.35  per pound.

Also since we have 60 pounds as total

The amount of second commodity is 60 - x

then the total cost (in dollars) is

y = 1.35x + 2.85(60 - x)

(b). since we have that;

y = 1.35x + 2.85(60 - x)

solving for y gives

y = 1.35x + 171 - 2.85x

y = 171 - 1.5x

doing exchange of variables y and x we have;

x = 171 - 1.5y

where;

1.5y = 171 - x

y = 171 - x / 1.5

f⁻¹(x) = 2/3 [171 - x]    ------------- (1)

Here x represents the cost and y represents the pounds

(c). Given that less commodity is purchased, the Cost will be at  its lowest and will be 60 (1.35) = $81.

Also, if only the more expensive commodity is purchased, the Cost will be at its maximum and will be 60(2.85) = $171

That is to say that the domain of inverse function is equal to the range of original  function.

(d). plug in x = $78 in the inverse function

where y = 2/3 [171-78]

y = 2/3[93] = 2[31]

y = 62

The number of pounds of the less expensive commodity purchased when the total cost is $78 is given as

y = 62

cheeers i hope this solution was helpful

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

[tex]\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right][/tex]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

[tex]\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right][/tex]

Answer:

- 4

Step-by-step explanation:

Tan(45°) - 10 * cos (60°) =     - 4

Answer:

1.9 liters.

Step-by-step explanation:

The hundredths digit is 5 so we add 1 to the tenths digit.

Answer: 1.9 liter

Step-by-step explanation: the tenth is the first digit after the decimal point. Anything greater than it equal to 5 will be rounded up. So 1.85 is rounded up to 1.9

Answer:

D) 0

Step-by-step explanation:

Remainder is zero as 10 is fully divisible by 2.

Proof:

Correct choice is D) 0

Answer:

(3 + 4i) + (8 + 2i) = 3 + 4i + 8 + 2i

(3 + 4i) + (8 + 2i) = (3 + 8) + (4i + 2i)

(3 + 4i) + (8 + 2i) = 11 + 6i

hope it helps if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

11 + 6i

Step-by-step explanation:

Well, by the looks of it, you're combining like terms.  Just add numbers that have the same variable or jut add coefficients:

(3 + 4i) + (8 + 2i)

=  3 + 4i + 8 + 2i

= (3 + 8) + (4i + 2i)

= 11 + 6i

Leigh uses  [tex]\frac{1}{6}[/tex] of full bottle of hot sauce

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

A bottle of hot sauce is 3/4 full.

Leigh uses 2/9 of the contents of the hot sauce bottle for lunch.

Therefore

How much of a full bottle of hot sauce did Leigh use for lunch = [tex](\frac{3}{4}).(\frac{2}{9})[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, Leigh uses  [tex]\frac{1}{6}[/tex] of full bottle of hot sauce

Learn more about Unitary method here

https://brainly.com/question/22056199

#SPJ2

Answer:

y = [tex]\frac{33}{x}[/tex]

Step-by-step explanation:

Use the inverse relationship equation, y = [tex]\frac{k}{x}[/tex]

Plug in what we know to solve for k:

11 = [tex]\frac{k}{3}[/tex]

33 = k

Plug 33 in as k to find the equation:

The equation will be y = [tex]\frac{33}{x}[/tex]

Answer:

2/3 3/5 1/6

Step-by-step explanation:

look at the denominators and arrange from least to greater

Answer:

Step-by-step explanation:

Price of stock bought = $ 59

% rise = 13%

Price of stock rise :

⇒[tex] \sf{13\% \: of \: 59}[/tex]

⇒[tex] \sf{ \frac{13}{100} \times 59}[/tex]

⇒$ [tex] \sf{7.67}[/tex]

New price is 13% more than $ 59

Hence, New price = $ 57 + $ 7.67

= $ 66.67

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

[tex]-4r + 18= 6\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\-4r+18-18=6-18\\\\\mathrm{Simplify}\\\\-4r=-12\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\\\frac{-4r}{-4}=\frac{-12}{-4}\\\\\mathrm{Simplify}\\\\r=3[/tex]

Step-by-step explanation:

It is given that,

A building is 34 inches wide. Its 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. We need to find the fraction of the wall is brick.

A fraction is in the form of x/y. y is total value and x is a part of y.

Here, 12 inches is brick. So, its fraction is :

[tex]F=\dfrac{12}{34}=\dfrac{6}{17}[/tex]

So, fraction of [tex]\dfrac{6}{17}[/tex] is the wall which is brick.

Answer:

2x^3-11x^2+9x+18

Step-by-step explanation:

By multiplying both the binomial and the trinomial given, we obtain a polynomial which contains both as factors. We notice as well that the given trinomial doesn't have 3 as a root (so there is no multiple root x = 3 in the product we obtain:

[tex](-x+3)\,(-2x^2+5x+6)=2\,x^3-5x^2-6x-6x^2+15x+18=2x^3-11x^2+9x+18[/tex]

Then, this new polynomial

[tex]2x^3-11x^2+9x+18[/tex]

has both given polynomials as factors.

Answer:

4x

Step-by-step explanation:

Length of square = x cm

Perimeter; p = 4 × length of square

p = 4x

Answer:

s^15

Step-by-step explanation:

When multiplying exponents with the same base, add the exponents

Answer:

The answer is option A

Step-by-step explanation:

Using the rules of indices

That's

Simplify the expression

We have

Again using the rules of indices

That's

The final answer is

Hope this helps you

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

2(x+5)

= 2*x + 2*5

= 2x+10

Answer:

hjgyjgyjyjhhh

Step-by-step explanation:

ygjyjygyjjg

Answer:

The answer is

Step-by-step explanation:

Since the rectangular box is a cuboid,

Total surface area of a cuboid is given by

Where

l is the length

w is the width

h is the height

From the question

l = 10 cm

w = 8cm

h = 6cm

Substitute the values into the above formula

That's

Total surface area of the rectangular box is

2 [ (10)(8) + (8)(6) + (10)(6) ]

2 [ 80 + 48 + 60 ]

2( 188)

We have the final answer as

Hope this helps you

Answer:

2. 9, 8+9

3. 17-8=9, 17, 8, 9

4. 13-7=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Encik Arif's mass be x

the ratio of Encik Arif's mass to his son's mass is 3:2

That's

The son's mass is 42, so the ratio of Encik Arif's mass to his son's is

x : 42

That's

Now equate the two fractions

That's

Cross multiply

3(42) = 2x

126 = 2x

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

1- 8/15= 7/15 = 0.4(6)

1.2 + 2/3 = 28/15 = 1.8 (6)

Answer:

40

Step-by-step explanation:

The 4 in 45 is 40 because it is in the tens place, 4 times 10= 40.  The 5 is 5 becasue it's in the ones place.  :)

It's just place value:

Answer:

The first digit i.e. 4 is called the tens' place. Here, there are 4 tens. The last or right digit i.e. 5 is called the ones' place. Therefore, in the number 45 = 4 tens plus 5 ones = 40 + 5 = 45