Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D

Answer:

C(x) = 25 + 2x

Step-by-step explanation:

He already has 25 cards.

He is collecting 2 cards per month. In x months, he will have collected:

2 * x = 2x cards

That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:

C(x) = 25 + 2x

Answer:

a. 34

b. 0

Step-by-step explanation:

you plug the n values as n

note when -n^2, you do this:

        [tex]-(2)^{2}[/tex]= -4

so don't mistake it for +4

pay special attention to the signs to solve like:

+ times - is a negative!

Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]

[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]

[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

Answer:

i) 2x² + 4x + 7x + 14

= 2x² + 11x + 14

ii) 2x² - 5x - 12x + 30

= 2x² - 17x + 30

Answer:

[tex]25:35[/tex]

Step-by-step explanation:

[tex]\frac{60}{5+7}[/tex]

[tex]\frac{60}{12}[/tex]

[tex]=5[/tex]

[tex]5:7[/tex]

[tex]5 \times 5 :7 \times 5[/tex]

[tex]25:35[/tex]

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

Answer:

lresaputa es la C  

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!

Answer:

x=0.333

Step-by-step explanation:

12(3x)=12

36x=12

/36 on both sides

x=0.333

Answer:

8

Step-by-step explanation:

To find the mean, or average of a data set, add all the values together, then divide by the number of values.

The data set is: 6,7,9,9,9

1. Add all the values

Add 6,7,9,9 and 9

6+7+9+9+9

40

2. Divide by the number of values

Count how many numbers are in the data set. In this case, there are 5 numbers.

Divide 40 by 5.

40/5

8

The mean of the data set is 8.

Steps:

Mean x:  8

Median x:  9

Mode:  9

Range:  3

Minimum:  6

Maximum:  9

Count:  5

Sum:  40

1:  6+7+9+9+9

2: =40

3: 40 divided by 5

4: = 8

Description:

The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.

5 is the total numbers there

Please mark brainliest

Hope this helps.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line

3.142*4.5²=63.6255

Answer=63.63

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

21 g

Step-by-step explanation:

Use ration method

28:14 = 42:x

To find x,

(14 x 42) divided by 28, which equals 21g

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

Answer:

[tex]47.25\[/tex]

Step-by-step explanation:

[tex]42 \times 1.125[/tex]

[tex]=47.25[/tex]

Answer:

$25.2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

look at the other answer as the person is taking a very long time to write it

Answer: radius = 14.01 m

Step-by-step explanation:

Circumference = 2πr

88 = 2πr

r = 88/2π = 14.01m

Answer:

b) 30^2 + b^2 = 40^2

Step-by-step explanation:

This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2

c ^ 2 always is on the right hand side of the equation.

In this case since 40^2 is c^2 is should be on the right side of the equation.

Answer:

-5/3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

g(x) = (x² - 2 * 1/2 x) - 6

      = (x - 0.5)² - 0.25 - 6

      = 1(x - 0.5)² - 6.25

Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

[tex]-\frac{1}{15} t =7[/tex]

What we need to do here is to isolate t.

Let's multiply both sides by -15.

[tex]-\frac{1}{15}t * -15 = 1t[/tex]

7*-15= -105

t=-105

Answer:

5x^2 + 10x

Step-by-step explanation:

Area = Width x Height

Area = (5x)(x+2)

Use distributive property

5x^2 + 10x

Answer:

A = 5x^2 + 10x

Hope this helps!

Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.

Unfortunatly brainly does not provide me with graphics support.

First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.

Here is the inequality:

[tex]

350 > 125 + 15r

[/tex]

If we subtract 125 and then divide by 15 on both sides we get:

[tex]

r > 15

[/tex]

This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:

[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]

In interval notation that is:

[tex]r\in(-\infty,15)[/tex]

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825ft²

Answer:

The second option

Step-by-step explanation:

Adding n to the x inside of the parentheses moves the graph n units to the left

Answer:

5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.

Step-by-step explanation:

Step-by-step explanation:

work is shown and pictured

Answer:

D

Step-by-step explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer:

3(2x-1     )(x-5   )  

Step-by-step explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x     )(x   )  

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1     )(x-5   )  

2 * -5 + -1 = -10-1 = -11

Answer:

103.8

Step-by-step explanation:

Length of diagonal of a cube is given by the formula:

[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]

The length of the diagonal of the cube is 103.9 units.

What is a cube?

A cube is a three dimensional figure or object which has all the side with equal length.

The length of each side of the cube = a = 60 units.

Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.

Learn more about a cube here: https://brainly.com/question/21270976

#Tag #SPJ2

Answer:

So since the sum of both is 13 because it shows both of the lines connected as a length of lines.

So we add them (14+x)+(x+15) = 13

14+2x+15 = 19+2x = 13

-6=2x

x=

-3

Step-by-step explanation: