1. Draw the graph of y = 3 – x/2 using a table of points from x = -3 to 3.

Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.

Answer:-4

Step-by-step explanation:

2(-6)2

2 x -6 x 2=-24

5 x 2 x 2=20

-24+20=-4

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{ m}{\downarrow }}{\cfrac{1}{2}}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so, we're really looking for the equation of a line with a slope of -2 and that passes through (-2 , 3)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-2)})\implies y-3=-2(x+2) \\\\\\ y-3=-2x-4\implies y=-2x-1[/tex]

Simplification form of 1/5 raised to the power minus 1 is 5.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."

The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.

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Answer:

6. 7

7. 32

8. -17

9. -24

10. 6 ft

Step-by-step explanation:

6: 2(3) +1

    6+1=7

7: 16-4(-4)

   16+16=32

8: 12(-2)+7

   -24+7=-17

9: -9-3(5)

   -9-15=-24

10: 24-3(6)

     24-18=6

The automobile covers 224.48 km.

This problem can be solved by using the unitary method.

In this method we calculate the value for a unit quantity and then multiply it with the desired number for which we want to calculate.

Here it is given that a automobile covers 1122.4 km with 80 liters.

For 1 liter of gasoline distance covered = [tex]\frac{1122.4}{80}[/tex]

                                                              = 14.03 km

So, for 16 liters of gasoline distance covered will be = 16× 14.03

                                                                                  = 224.48 km

Therefore the automobile covers 224.48 km for 16 liters of gasoline.

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According to the given statement;

EF=18.682.

The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.

Distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.

According to the given value;

(-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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The length and width of the given rectangle is 16cm and 13cm.

Formula of perimeter of a rectangle: 2(l+b)

Let, width be 'x' then length will automatically be 'x+3'.

Now, put the values in the formula:

So, width is 13cm then length is (13+3) that is 16cm.

Therefore, the length and width of the given rectangle is 16cm and 13cm.

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When you have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint, the number of containers will be 5.

Note that the conversion ounce to pint is to divide the value by 16.

Therefore, 80 fluid ounces to pint will be:

= 80/16

= 5

Therefore, the value is 5 pints.

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Answer:

Step-by-step explanation:

In this problem, we need to use multiplication and subtraction method to solve it.

_________________________________

x(y) means to multiply x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = 28

Then, we need to subtract {b = 6} from 28, we get:

28 – 6 = 22

Finally, this simplifies as:

4(7) – 6 = 22

Hope this helps :)

Answer:

$16.60

Step-by-step explanation:

Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25

2.5x + 1.25y = 31.25

Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).

y = x - .20

Plug the y = x - .20 into the first equation.

2.5x + 1.25(x - .20) = 31.25

Distribute the 1.25 by multiplying it with x and -.20

2.5x + 1.25x - .25 = 31.25

Combine like terms, x on the left side

3.75x - .25 = 31.25

Add .25 to both sides to get x on one side

3.75x = 31.50

Divide both sides by 3.75 to get x by itself

x = 8.4

So, each pound of salmon, x, cost $8.40 per pound

Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.

y = 8.4 - .20

So, a pound of swordfish cost $8.20 per pound

The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.

x + y = z

8.4 + 8.2 = 16.6

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

The final answer is 24,024

In the given statement is :

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5

To find the how many divisions are possible

Let us understand the:

What do you mean by Permutation?

A Permutation is an act of arranging the objects or number in order.

Formula of Permutation :

The formula for Permutations is : n P r = n! / (n - r)!

n p r = n! /(n-r)!

14 P 4 = 14 ! / (14-4)!

= 14 × 13 × 12 × 11 x 10! / 10!

= 14 × 13 × 12 × 11

= 24,024
Hence, The answer is 254,024

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Answer:

the answer of that is 16 x 5

Step-by-step explanation:

Answer:

18 gallons

Step-by-step explanation:

Start with x gallons of 70% juice and 18 gallons of 30% juice.

Result: x + 18 gallons of 50% juice

0.7x + 0.3 × 18 = (x + 18)(0.5)

0.7x + 5.4 = 0.5x + 9

0.2x = 3.6

x = 18

Answer: 18 gallons

The fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

Given that, Matt sliced a pizza into 8 equal parts and gave 4 slices to Stuart.

We need to find the fraction of a pizza Matt gave Stuart.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Now, the fraction=4/8

=2/4 =1/2

Therefore, the fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.

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You cannot find f * g because the functions have different domains

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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Answer:

[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

From 3 to 10th term is 7 d's       ( d = common difference)

3 - 7d = third term

3 - 7(3)  =  -18

Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.

Given

Antawan determines the distance between two points as 9.

Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9

Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.

The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.

hence option 2 is right.

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The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.

As given,

Regular pay per hour = $14

Overtime work payment= 2 × ($14)

Total hours work done last week = 44hours

Let regular timing be 8 hours per day 5 days a week

Total regular working hours = 8 × 5

                                           = 40 hours

Over time = 44-40

                = 4 hours

Payment check = (40 × 14)+ (4 × 28)

                         = $672

Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.

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the solution for it ..

solving the bracket is important

Answer: wendy should pick S

Step-by-step explanation:

The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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Length of line segment AD = 22 units .

Given : ABCD is a kite

           AB and BC are congruent

           AD and CD are congruent

            AB = 14 units

            CD = 22 units

To find :  length of line segment AD

When 2 sides of a triangle are congruent , they are equal in measure ie. their magnitude is equal .

Since , AB and BC are congruent

⇒ AB = BC = 14 units

Similarly , CD = AD = 22 units

Therefore , length of line segment AD = 22 units .

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Answer: c on edge

Step-by-step explanation:

Answer: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "c5"   was replaced by   "c^5".  1 more similar replacement(s).

STEP

1

:

           c4

Simplify   ——

           c5

Dividing exponential expressions :

1.1    c4 divided by c5 = c(4 - 5) = c(-1) = 1/c1 = 1/c

Final result :

 1

 —

 c

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

See the attached file below it will help to understand this problem and it will improve your grade and score.

the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

If we have two propositions P and Q, then we have a conditional statement:

If P then Q.

The converse statement is: if Q then P

The inverse statement is: if Not P, then Not Q.

The contrapositive statement is: if Not Q, then Not P.

The conditional statement is:

"If the sun is out, then it is daytime"

So we have:

P = the sun is out.

Q = it is daytime.

Then the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

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