6(×2+1) +2× what is it the answer

Answers

Answer 1
Answer:  simplify

6(x2+1)+2x

Distribute:

=(6)(x2)+(6)(1)+2x

=6x2+6+2x

Answer 2
Answer: 6(x2+1) + 2x

Distribute the 6. Use the property a(b+c) = ab+ac

6x2 + 6 + 2x

Hope that helps

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Mo-Qui has studied Spanish for half an hour longer than he studied History.If He spent 2 hours and 15 min studying for Spanish, but isn't finished yet, write an inequality to show how the amounts of time studying each subject are related.

Answers

So,

Let s represent the time Mo-Qui spent studying Spanish and h represent the time Mo-Qui spent studying History.

s = h + 30
s > 2 hrs. 15 mins. (he isn't done yet)

Substitute
2 hrs. 15 mins. = h + 30 mins.

Subtract 30 mins. from both sides
1 hr. 45 mins. = h

However, s > 2 hrs. 15 mins., so h must be more than 1 hr. and 45 mins.

h > 1 hr. 45 mins.

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A car and a limo each drive along a straight road between two points. Using the points on a map that the city created, the car will start at (5, 7) and will stop at (–2, –7), while the limo will start at (3, –5) and will stop at (–4, 9).What are the coordinates of the intersection that the car and the limo both drive through?

Answers

The path of the car and the limo are straight lines. To determine the equation of the lines of the paths, the slopes must be determined. Let m1 = slope of car m2 = slope of limo so, m1 = (7 + 7)/(5 + 2) = 2 m2 = (-5 -9)/(3+4) = -2 therefore the equations are car: 2x – y = 2(5) –(7) 2x – y = 3 Limo: 2x + y = 2(3) – 5 2x + y = 1 Solving the intersection of the equations (using a calculator) x = 1 y = -1

Answer:

(1,-1)

Step-by-step explanation:

Given,

The starting point of the car is (5,7) and end point of the car is (-2,-7),

So, the equation that represents the position of car,

y-7=(-7-7)/(-2-5)(x-5)

y-7=(-14)/(-7)(x-5)

y-7=2(x-5)

y-7=2x-10

\implies 2x-y=3-----(1)

Similarly, the start point of the limo is (3,-5) and end point of the limo is (-4,9),

So, the equation that represents the position of limo,

y+5=(9+5)/(-4-3)(x-3)

y+5=(14)/(-7)(x-3)

y+5=-2(x-3)

y+5=-2x+6

2x+y=1----(2)

Adding equation (1) and (2),

4x = 4 ⇒ x = 1

From equation (1),

2(1) - y = 3 ⇒ -y = 3 - 2 ⇒ -y = 1 ⇒ y = -1

Hence, the intersection point of line (1) and (2) is (1,-1).

6.3 + |8.7 + (-6.8)|

Answers

Answer:

21.8

Step-by-step explanation:

How can I find slope

Answers

To find the slope of a line, you first chooses 2 points with known coordinates that belongs to the line. Let those points be A(x1,y1) and B(x2,y2) with x2>x1.You then divide the subtraction of their Ys as y2-y1 by the subtractions of their Xs as x2-x1 (the point with the higher x comes first, this is why x2>x1). And let the slope be m.m= (y2-y1) / (x2-x1). If the slope is positive, the line croissant and y2>y1. If the slope is negative, the line is decroissant and y1>y2.Hope this helps! :)

4,12,36,108,324If the sequence defines a function, what is a reasonable domain and range of the function?

Answers

The sequence defines a function f(x)=4.(3)^(x-1)

Domain : \{1,2,3,4,5\}

Range : \{4,12,36,108,324\}

Explanation:

A sequence defines a function if it is the set of natural numbers.

Thus, the function is given by

f(x)=4.(3)^(x-1)

The sequence can be determined by substituting the values for x.

For x=1,

f(1)=4(3)^(0)=4

For x=2,

f(2)=4(3)^(1)=4(3)=12

For x=3,

f(3)=4(3)^(2)=4(9)=36

For x=4,

f(4)=4(3)^(3)=4(27)=108

For x=5,

f(5)=4(3)^(4)=4(81)=324

Thus, from these the domain and range of a function can be determined.

The domain of a function is the set of independent values, which are generally the x-coordinates.

Domain of a function is \{1,2,3,4,5\}

The range of a function is the set of dependent values obtained by substituting the values for x.

Range of a function is \{4,12,36,108,324\}

Ian saved $3.00 by buying a book at a 20% discount. what was the original price of the book?

Answers

Answer:

$15 was the original price of the book.

Step-by-step explanation:

Ian saved Price at 20% discount =  $3

Price of 01% = 3/20 = $0.15

Total Price = 0.15 x 100 = $15