Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Answer:

A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.

So, the answer to your question is B.  a × (1/a) = 1.

Hope this helps!! :)

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

Answer:

Anil

Step-by-step explanation:

This is because 1/3 is greater then 1/5

Answer:

3.24 inches

Step-by-step explanation:

3 times 108% is 3.24

[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]

Answer:

[tex]to \: know \: the \: answer[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Trigonometric identities are used to prove or disprove trigonometric ratios

The trigonometry identity is given as:

[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]

Simplify the trigonometry identity, as follows:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

This is so because:

[tex]\cos(\pi + x) = -\cos(x)[/tex]

[tex]\cos(-x) = \cos(x)[/tex]

[tex]\sin(\pi -x) = \sin(x)[/tex]

[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]

So, we have:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

Evaluate the products

[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]

Cancel out the common factors

[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]

Rewrite the trigonometry identity, as follows:

[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]

In trigonometry,

[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]

So, we have:

[tex](\cot(x))^2 = \cot^2x[/tex]

Remove the bracket

[tex]\cot^2x = \cot^2x[/tex]

The above equation is true.

Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved

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The value of ab^2 in simplified form is -1

Given the following expressions:

We are to evaluate the expression [tex]ab^2[/tex]

Substitute the given parameters into the formula to have:

[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]

Hence the value of ab^2 in simplified form is -100x

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Answer:

14/3

Step-by-step explanation:

The quotient of triple a number less four and five equals two. What is the number?

"triple a number" means 3x, if we say x is the "number"

"triple a number less four" means (3x-4)

"quotient of [triple a number less four] and five equals two." means

(3x-4)/5 = 2

3x-4 = 10

3x = 14

x = 14/3

===

Does ((14/3)3 - 4)/5 = 2 ???

(14 - 4)/5

10/5 = 2                         YES

What is the number?

Answer:

40

Step-by-step explanation:

9x8 = 72

5x8 = 40

72:40 = 9:5

Hope that helps

Answer:

Step-by-step explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m

[tex]\huge \bf༆ Answer ༄[/tex]

The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.

Answer:

52

Step-by-step explanation:

Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

Answer: 52 because if you Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

like ponitail151 said.

Answer:

All real numbers.

Step-by-step explanation:

The domain is the range of values of x.

The graph goes on without bounds to - infinity and positive infinity.

Answer:

y = m x + b   equation for a straight line

if x = o then y = 4 from graph

y = 0 + 4            and b = 4

If x = 8 then y = 24 from graph

24 = m * 8 + 4      substituting in our equation

m = 20 / 8 = 2.5      giving slope or rate of change

y = 2.5 x + 4     the final equation with a slope of 2.5

As a check using the graph:

We see that if y = 24 then x = 8

24 = m * 8 + 4      substituting in our equation

m = 20/8 = 2.5 agreeing with the value found

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

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Answer:

3x+8=17                                  2x+8=2(x+4)                         x+4=x-4

3x=17-8                                    2x+8=2x+8                          No solution

3x/3=9/3                                  All Real numbers

x= 3                                                

infinitely many solution

Q2) It means this equation  has no answer to it and no solution

Q3)  x+ 4=x-4 has no solution

Q4) It means that it has many answers to it and many steps to it to get the answer

Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by

Answer:

1) –(3 • 7 • 3 • 5 • g)

2) 7+x+3⋅y

3) 2/9 – x/5

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

Answer:

212.5

Step-by-step explanation:

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Answer:

-4

Step-by-step explanation:

y=3x - 1                      x= -1

y = 3(-1) -1

y = -3 -1

y= -4

The distance between London and Paris is 290.38km

To get the distance between London and Paris, we will see the cosine formula as shown:

c² = a² + b² - 2ab cosФ

Given the following parameters:

Substitute into the formula to have:

c² = a² + b² - 2ab cosФ

c² = 939² + 882² - 2(939)(882) cos18

c² = 1,659,645 - 1575326.21

c² = 84,318.79

c = 290.38km

Hence the distance between London and Paris is 290.38km

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Answer:

5) -2

6) 1

7) -4/3

8) I'm not sure for this one

9) 8

10) 9/5 i think

1)   A

2)   D or A

3)   C

4)   A

Step-by-step explanation:

Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept

Answer:it’s distributive property

Step-by-step explanation:

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

Hope it helps.

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The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

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The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.

Expressions that have the same value are said to be equivalent expressions.

Evaluate 3+2x−9−4x+11+5x−x:

3 + 2x − 9 − 4x + 11 + 5x − x

Add like terms together

2x - 4x + 5x - x + 3 - 9 + 11

2x  + 5

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#SPJ2

Answer:

Step-by-step explanation:

The expression that is equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x, is: 2x + 5.

Answer:

13 *2*2

or

13*2^2

Step-by-step explanation:

52 = 26*2

But 26 is not prime

52 = 13*2 *2

52 = 13 * 2^2

Step-by-step explanation:

hope it helped!! ..............