The expressions given in the table can all be simplified. When simplified, three of the expressions in Column A are equivalent to three of the expressions in Column B.
Column A
Column B
I.
2x + 13-7x
V.
13 + 7x + 2x
II. 7x-17 + 4x
VI.
17-4x - 7
III. 7x +13 + 2x
VII. 13-7x + 2x
VIII. 4x + 7x - 17
IV. 4x - 7+17
Which pair of expressions is not equivalent?
land VII
ll and VIII
Ill and V
IV and VI

One can recognize when two integers are opposite numbers as C. Opposite numbers are the same distance from zero on both sides of the number line.

It should be noted that opposite numbers are given as being 0 when added.

For example, the addition of 3 and -3 will be equal to 0.

Therefore, one can recognize when two integers are opposite numbers as Opposite numbers are the same distance from zero on both sides of the number line.

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Answer:c

Step-by-step explanation:none of these are good answers as they can all exist in flat Euclidean space. The best answer is c because a great circle exists in spherical (non-flat) geometry . However it’s not really correct to say you could never describe a great circle in Euclidean space and whoever wrote this question (not you, the original author of the question) deserves to bite their tongue on their dinner tonight

Each of the players will get 2 cards, and the number of remaining cards is 3.

We know that Juan has 11 cards to deal to 4 players, so we need to find the closest multiple of 4 that is smaller than 11, that is:

4*2 = 8

This means that each of the 4 players will get 2 cards, and the number of remaining cards is.

11 - 8 = 3

There are 3 remaining cards.

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Answer:

domain t = (-∞,∞)

range D = (-∞,∞)

Step-by-step explanation:

domain t = (-∞,∞)

range D = (-∞,∞)

Answer:

24 people

Step-by-step explanation:

German : 4 + (4/2) = 6

Norwegian : 4 + 4 + (4/2) = 10

Italian : 4 + 4 = 8

Add them all :

6 + 10 + 8 = 24

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Here, AC and BD are diagonals,

where AC = 10 and BD = 6

therefore,

Area of a kite = 1/2*(product of the lengths of the diagonals)

area = 1/2 * 10*6

area = 30 sq units.

The area of kite ABCD 60 square unit.

The correct option is D.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

AC = 10 and BD = 6.

So, the area of kite ABCD

= AC x BD

= 10 x 6

= 60 square unit.

thus, the area is 60 square unit.

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Answer:

f(x) = -3x+1

Step-by-step explanation:

every straight graph has an equation f(x) = m * x + b

when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1

so your equation is -3x + 1

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

x=2

subtract 7/8 from both of the sides

x= 23/8-7/8

Simplify 23/8 - 7/8 to 2

x=2

The value of x in the equation that is given as 2/3x + 4/5x = 6 will be 4.

Based on the information given, one should note that an equation has to do with the statement in a question which depicts the variables given. In this case, one should note in an equation, one will need to consider two or more components are to be able to illustrate the scenario.

In this case, it is important to note that an equation simply depicts the mathematical statement which can be made up of two expressions which are simply connected by an equal sign.

The equation is explained thus:

2/3x + 4/5x = 6

10/15x + 12/15x = 6

22/15x = 6

1.467x = 6

x = 6 / 1.467

x = 4

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Solve the equation

2/3x + 4/5x = 6

Step-by-step explanation:

\( \frac{d}{dx} {e}^{x} \cos(x) = {e}^{x} cos(x) - {e}^{x} \sin(x) \)

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

Answer:

7/18

Step-by-step explanation:

P(sophomore girl) is 7 out of a total 30.

P(girl) is 18 out of 30.

(7/30) / (18/30) = 7/18

If you just look at the girls column you can see this immediately. A given is that we're looking for a girl (18 girls), then what is the chance that it's a sophomore. That is 7 out of 18.

Answer:

The answer would be 7 over 18 in fraction form fill in 7 then 18

Step-by-step explanation:

7/18

From the figure we have a hexagon(six-sided polygon).

Let's find where point F will map onto after a rotation of 60 degrees clockwise.

To find the point, let's find each exterior angle of the hexagon.

Apply the formula:

exterior angle = 180 - interior angle

To find the interior angle, we have:

Where n = 6

Thus, we have:

For the exterior angle, we have:

Exterior angle = 180 - interior angle

Exterior angle = 180 - 120 = 60 degrees

Since each exterior angle of the given polygon is 60 degrees, after point F is rotated 60 degrees clockwise, the point it will map onto will be the next point to the right.

Therefore, after a rotation 60 degrees clockwise, point F maps onto point E.

ANSWER:

E

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer: a.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

b.) The correlation coefficient, r, is -0.736.

Step-by-step explanation:

The coefficient of determination is denoted \(R^2 \ or \ r^2\)  which gives the percent of the variance in the dependent variable that is predictable from the independent variable.

Given, \(r^2= 0.542\)

That means 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

Also, \(r=\sqrt{0.542}\approx\pm0.736\) , where r determines the correlation coefficient.

As driver;s age increases the distance he can see decreases, so there is a negative correlation between them.

So r= -736.

Hence, The correlation coefficient, r, is -0.736.

So, the correct options are a.) and b.)

Answer:

x=2*2 4/5

Step-by-step explanation:

: Martin had 2 4/5 pounds of grapes left.

So x=2*2 4/5

x=2* 14/5

x=28/5

x=5 3/5

The expression shows the pounds of grapes Martin has if he doubles his current amount of grapes. x=2*2 4/5

Answer:

D. 12 ÷ (2 + 4) × (3 + 5)

Step-by-step explanation:

12 ÷ (2 + 4) × (3 + 5)

⇒ 12 ÷ 6 × 8

⇒ 2 × 8

⇒ 16

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

 2 = ab2 and 4 = ab3   Solve each equation for a.

 2⁄b2    and 4⁄b3 = a    

Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2    

Divide both sides by b2

 2b = 4      

a = 2/4 = 1/2

b = 2

 y = 1 (2)x

2

Hope it helps

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Thank you

9514 1404 393

Answer:

  y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

  y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

  y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

  y = 4·(4^x)(4^-2) = (4^-1)(4^x)

  y = (1/4)(4^x)

Answer:

The nearest cent is going to be %1.00 So it’s B girla

Step-by-step explanation: i think it is

From the frequency distribution, the measures are given as follows:

a) Total number of observations: 27.

b) The width of each class is of 5.

c) The midpoint of the second class if of 20.5.

d) The modal class is Class 12 - 17.

e) If another class was added, the limits would be 48 - 53.

The frequency distribution gives the number of observations that is located in each class.

Hence the total number of observations is given by the sum of the frequencies, as follows:

Total = 9 + 1 + 3 + 8 + 6 = 27.

The modal class is class with the highest number of observations, hence it is of:

Class 12-17.

The width of a class is given by the subtraction of the limits, hence:

Width = 47 - 42 = ... = 23 - 18 = 17 - 12 = 5.

For an added class, the lower bound would be one more than the last class, while the upper bound would be five added to the lower bound, hence the limits are:

48 - 53.

The midpoint of each class is given by the mean of the coordinates, hence, for the second class, it is of:

Midpoint = (18 + 23)/2 = 41/2 = 20.5.

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Answer:

The sequence is of the form

9 ,   13 , 17 , 21 , 25 ,29

Step-by-step explanation:

Explanation:-

Step(i):-

Given sequence   , ___, __17_ ,___,___ 29

The third term = 17

          a + (3-1)d = 17

          a + 2 d = 17 ...(i)

The sixth term = 29

      a + (6-1)d =29

      a + 5 d  = 29 ...(ii)

solving (i) and (ii) equations

Subtracting (i) and (ii) equations , we get

 a + 2 d -a -5 d = 17 -29

   - 3 d = - 12

       d =4

Substitute 'd' =4 in equation (i)

   a + 2 d = 17

  a + 2(4) =17

  a = 17 -8 = 9

Step(ii):-

The arithmetic sequence

            a ,   a+d ,   a+2 d  ,  a+ 3 d , a+ 4 d , a+5 d

            9  , 9 + 4, 9 +2 (4) , 9+3(4) , 9 +4(4) , 9+5(4)

             9 ,   13 , 17 , 21 , 25 ,29

Conclusion:-

The sequence is of the form

9 ,   13 , 17 , 21 , 25 ,29

9, 13, 17, 21, 25, 29

Answer:

A: Service Fee = $55
   Hourly Rate = $ 73
B: $288

Step-by-step explanation:

A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
  The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)

B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288

The point (2,-4) satisfies y < 3x - 6