For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

Answer:

8. The y-intercept represents the 14 inches of snow 0 hours after midnight.

9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.

10. 30 inches

Step-by-step explanation:

8. given in the text

9. given in the text

10.

[tex]y=2x+14[/tex]

[tex]y=2(8)+14[/tex]

[tex]y=30[/tex]

Answer:

I will answer this in English.

a) here you written 208 = (2^6)*3, while in the table you can see 5 times the number 2 and 2 times the number 3, this means that:

208 = 2^5*3^2

then we would have:

√208 = √(2^5*3^2) = 3*2*√2 = 6*√2

b) This time is correct that:

1568 = 2^5*7^2

but the simplification in the square root is not correct. (√(2^5) is not equal to 2^2)

as √(2^5*7^2) = √(2*2^4*7^2) = 2^2*7*√2 = 4*7*√2 = 28*√2

Answer:

SSS

Step-by-step explanation:

ST = YA, SY = TA Given

AS = SA Reflexive property

ΔSTA ≅ ΔAYS SSS

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

Answer:

a) -x(4[tex]x^{2}[/tex] -x +1)

b) 4[tex]x^{3}[/tex] (x-1)

c) -12[tex]x^{2}[/tex] - 3x + 3

Step-by-step explanation:

Most of it is really just a matter of substituting expressions in. here's how i did it:

f(x) = x-1

g(x) = 4[tex]x^{2}[/tex]

a) (f-g) x [tex]x[/tex]

= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]

= x(- 4[tex]x^{2}[/tex]+x-1)

= -x (4[tex]x^{2}[/tex] - x + 1)

*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.

b) (fxg) x [tex]x[/tex]

= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]

= 4[tex]x^{3}[/tex] (x-1)

*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]

c) (f+g) x -3

= (x - 1 + 4[tex]x^{2}[/tex]) x -3

= -3 (4[tex]x^{2}[/tex] + x -1)

= -12[tex]x^{2}[/tex] - 3x + 3

*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate

Hope that helped : )

Answer:

[tex]802[/tex]

Step-by-step explanation:

[tex]18^3=5832[/tex]

[tex]19^3=6859[/tex]

[tex]2018+2019+2020=6057[/tex]

[tex]6859-6057=802[/tex]

Check.

[tex]6057+802=6859[/tex]

[tex]\sqrt[3]{6859} =19[/tex]

Answer:

2019.

Step-by-step explanation:

Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.

x(x + 1)(x + 2)

= x(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x ................(A)  

Now the perfect cube of x + 1 is:

(x + 1)^3 = x^3 + 3x^2 + 3x + 1

If we add x + 1 to (A) we get this expression so the answer is x + 1

= 2019.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

The 4 pack is priced at £2.04

cost of one pack will be equal total price divided by no. of roll in one pack

cost of one pack will be  £2.04 /4 = £0.51

The 9 pack is priced at £4.68

cost of one pack will be  £4.68 /9 = £0.52

As price per toilet roll for  4 pack is  £0.51 which is less than

price per toilet roll for  9 pack which is  £0.52

4 pack priced at £2.04 is better value deal.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Answer:

pentegon

Step-by-step explanation:

The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have coordinates of a polygon, the coordinate plane:

points: (1, 1), (1, 8), (4, 7), and (4, 3)

After, connecting the points to each other.

We will see, after joining the points, the polygon will be a trapezoid.

Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ2

Answer:

hope this helps you

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

=====================

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

=======================

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more  

Answer:18

Step-by-step explanation:because it was in the same column

Answer:

Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24

Answer:

x= -9/4 or -3

second one is x=5/6 or -8

Answer:

see explanation

Step-by-step explanation:

Given

4x² + 21x + 27 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × 27 = 108 and sum = 21

The factors are 12 and 9

Use the factors to split the x- term

4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x + 9) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25

--------------------------------------------------------------------

Following the same method as the previous question

Given

6x² + 43x - 40 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 40 = - 240 and sum = + 43

The factors are + 48 and - 5, thus

6x² + 48x - 5x - 40 = 0

6x(x + 8) - 5(x + 8) = 0

(x + 8)(6x - 5) = 0

x + 8 = 0 ⇒ x = - 8

6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]

Answer:

6.5

Step-by-step explanation:

7-2=5-4.5=0.5

0.5ₓ3=1.5

8-1.5=6.5

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

Answer:

  (fg)(x) = x^2 -2x -8

Step-by-step explanation:

(fg)(x) = f(x)·g(x) = (x +2)(x -4)

  = x(x -4) +2(x -4) = x^2 -4x +2x -8

  = x^2 -2x -8 . . . . matches the 3rd choice

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

Read more about binomial and trinomial at:

https://brainly.com/question/12289266

Answer:

First notice that they’re asking for the absolute value of the equation.

The absolute value is how far that number is from 0.

Basically it’s the number without a negative sign.

ok so 6-27 = -21

The product for 6-27 (21) is 21 spaces away from 0.

|6-27| = 21

21 is the answer to your question.

Hope this helped and pls mark me brainliest if it did :)

Answer:

k = 48

Step-by-step explanation:

k - 15 = 33

Add 15 to both sides

k - 15 +15 = 33 +15

k = 48

Answer:

(x+3)(x-3)

Step-by-step explanation:

It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3.  So we get (x+3)(x-3).

Answer:

Angela should multiply the outside number by the numbers in the parenthesis.

Step-by-step explanation:

The rule of distributive property:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply the outside number by numbers in the parentheses.

Example:

[tex]3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}[/tex]

Answer:

its muiltiply

Step-by-step explanation:

i promise

Answer:

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Answer:

i belive it is D 1%

Step-by-step explanation:

I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

Answer:

it had made of two lines including an angle...

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]