What could be an equation of a trend line for the data provided below?
Distance (mi) 2, 2.5 , 3 , 3.5 , 4.
Time (min) 23 , 28 , 34 , 34 , 40.

( photo would be shown )

a : y =6x+12

b : Y=8x+15

c : y=8x+8

b : y=6x+6

The translation of the point, (5, 3) according to the rule, (x, y) → (x - 7.5, y + 6.8), gives the point, (-2.5, 9.8)

A translation transformation is one in which the image of a pre–image is located at a position according to a rule. such that the difference between the image and the pre-image is a change in location.

Given parameters;

The coordinates of the given point = (5, 3)

The rule for the given transformation = (x, y) → (x - 7.5, y + 6.8)

The original coordinates of the point = (5, 3)

The coordinates of the image following the transformation is therefore;

[tex](5, 3) \: \underrightarrow{ T } \: (5 - 7.5,\: 3 + 6.8) [/tex]

Where;

[tex]T = T_{ (- 7.5,\: 6.8)}[/tex]

(5 - 7.5, 3 + 6.8) = (-2.5, 9.8)

Which gives;

[tex](5, 3) \: \underrightarrow{ T_{( - 7.5,\: 6.8)} } \: ( - 2.5,\: 9.8) [/tex]

The transformation of the point (5, 3) according to the rule (x, y) → (x - 7.5, y + 6.8), gives (-2.5, 9.8)

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Answer:

I gotchu! The answer is 80.

Step-by-step explanation:

To find the mean, you need to add up all the scores and divide it by how many scores there are. In this case, there are 5 scores, so we can first add them all up.

70+75+80+85+90=400

Now, since there are 5 scores, you need to divide 400 by 5.

400/5=80

The mean would be 80.

Hope that helped!

Have a great day!

:D

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Work Shown:

A = 18 take bio

B = 13 take Spanish

C = 5 take both

A+B-C = 18+13 - 5 = 26 students total

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

Another approach:

18 take bio and 5 take both, so 18-5 = 13 take bio only

13 take Spanish and 5 take both, so 13-5 = 8 take Spanish only

We then have 13+8+5 = 26 students

Both methods only work when each student is in either bio, Spanish, or both. We cannot have a student who is in neither class.

Answer:  

Step-by-step explanation:

The dimensions of the rectangle are 59 by 50 inches

The given parameters are

Length (l) = 1/2 width (w) + 9

Perimeter (P) = 318

Perimeter is calculated as

P = 2 (l + w)

Substitute l = 1/2w + 9 in P = 2(l + w)

So, we have

2 * (1/2w + w + 9) = 318

Evaluate the like terms

2 * (1.5w + 9) = 318

Divide by 2

1.5w + 9 = 159

So, we have

1.5w = 150

Divide by 15

w = 100

Substitute w = 100 in l = 1/2w + 9

l = 1/2 * 100 + 9

Evaluate

l = 59

Hence. the dimensions of the rectangle are 59 by 50 inches

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Answer: False; the sum of the angles is not equal to 180

Answer:

No

Step-by-step explanation:

The sum of angles in a trigngle has tp be 180.

150+20+20 is 190, there fore you cant

Answer: The answer is C(3,11)

Step-by-step explanation:

If you replace x with 3 that will be 3 to the third power 3 x 3 is 9 so 9 plus 2 is 11 you can use 11 in y, therefor your answer is C.(3,11)

The percentage increase for given quantity is 11.1%

In this question,

A quantity increases from 225 to 250.

So, the absolute change in the quantity would be,

|225 - 250| = 25

The relative increase of the quantity would be,

R = [tex]\frac{|225 - 250|}{225}[/tex]

R = 25 / 225

R = 0.111

We know that, the percentage increase of the quantity is the relative increase multiplied by 100.

So, the percentage increase of given quantity would be,

P = 0.111 × 100

P = 11.1%

Therefore, the percentage increase for given quantity is 11.1%

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Answer:

Step-by-step explanation:

f(x)=3(x+7)³-9

1. Let's graph the function у=3х³

2. Shift the graph of the function to the left by 7 units along the х-axis

3. Slide the graph of the function down 9 units along the y-axis

The best term that describes the number of solutions that will maximize the function is one optimal solution (a).

Number of Solutions in linear equations:

There are 3 possible types of solutions to the set of linear equations. They are:

Unique Solution - linear equation represents that there exists only one point, which on substitution, L.H.S becomes equal to R.H.S. In the case of simultaneous linear equations in two variables, the solution should be an ordered pair (x, y).

No Solution -  linear equations are parallel, then the system of linear equations has no solution.

Infinitely Many Solutions - graph for the system of linear equations with infinitely many solutions is a graph of straight lines that overlaps each other.

Given,

Here we need to find the number of solutions that will maximize the function below given the constraints listed.

the constraints are 3x and 2y.

We know that, linear equations in two variables, the solution should be an ordered pair (x, y).

So, here we have exactly only one solution that is a unique solution.

Then the option (a) one optimal solution is correct

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Answer: read first :)

Step-by-step explanation:

the first equation, x= -4 + 3y/5

y= 20/3 + 5x/3

the second equation, x= 4 - 2y/3

y= 6 - 3x/2

6w^2z^2

I hope this helps!

Answer:

-$83

Step-by-step explanation:

Create an equation to model Nina's balance.

[tex]40-63+80-140=-83[/tex]

Answer: 1.65 × 10⁻³

Step-by-step explanation: hope this helps!!!

768 cm'^2 is the trapezoid’s area.

What is  isosceles trapezoid?

Isosceles trapezoids have equal length non-parallel sides, hence the name "isosceles" which means "equal legs". The "legs" are another name for these equal sides.

Let 50 cm  = the bottom  base

We can find the area of one of the triangles that comprise the area of the trapezoid.....its sides are 30, 40 and 50  cm

Let s be the semi-perimeter of one of the triangle  = [ 50 + 40 + 30 ] / 2  = 60 cm

And the area of  of this triangle  =  sqrt  [ s ( s - a) (s - b) ( s -c) ]     where a,b, c are the sides

So...we have    sqrt [ 60 ( 60 - 30) (60 - 40) (60 - 50) ]  = sqrt [ 60 * 30 * 20 * 10 ] =

sqrt [ 1800 * 200]   =   sqrt [ 3600 * 100]  = 60 * 10  = 600 cm ^2

Now the base of this triangle = 50 and the height can be found as

follows :

Area =  (1/2) 50 * height

600 = 25 * height

height  =  24 cm   and this is the height of the trapezoid

Now....the top base can be found as   50  -  2 sqrt [ 30^2 - 24^2 ]  = 14 cm

So....the area of the trapezoid  = (1/2) height ( sum of the bases)  =  (1/2) (24) ( 50 + 14)  = 12 ( 64)  = 768 cm'^2

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Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Can you give me brainliest?

Answer: a=123

b=230

Step-by-step explanation:

Answer:

y = - 5x - 7

Step-by-step explanation:

A line has a function:

y = ax + b

Because the line has a slope of - 5

=> a = - 5

=> y = - 5x + b

Because the line goes through point (- 1; - 2)

=> - 2 = (- 5).(- 1) + b

=> 5 + b = - 2

=> b = - 7

=> The slope intercept from of the line:

y = - 5x - 7

Answer:

52/21

Step-by-step explanation:

Translate the word equation into an algebraic equation as follows:

Let the number be X

two-and-a-half of a number --> (2 1/2) X
2 1/2 = (2 x 2 + 1) = 5/2

So two-and-a-half of a number --> (9/2)X = 9X/2

three-quarters of the same number --> (3/4)X --> 3X/4

two and half of a number added to three quarters of the same number becomes 9X/2 + 3X/4

gives you 13 --> = 13

So we get the equation:
9X/2 + 3X/4 = 13

Multiply both sides by 4 to get rid of the denominators
4.(9X/2) + 4(3X/4) = 4 x 13 = 52

36X/2 + 12X/4 = 52

==>  18X + 3X = 52

==>  21X = 52

==>  X = 52/21

Answer: 1 3/4=7/4

2 1/2=5/2

Step-by-step explanation:

1 3/4=

1 + 3/4=

4/4 + 3/4=

(4+3)/4=7/4

2 1/2=

2+1/2=

4/2+1/2=5/2

Answer:

Absolute values:

Absolute values are specific values in math interpreted by vertical bars and a plus/minus symbol to represent addition, subtraction, or if they are negative / positive. Mostly, if the absolute value is positive, you can write the vertical bars to represent its absolute value. No need for a plus symbol. However, negative numbers are often different.

Exempli gratia(e.g): |2|, |-2|, |+2|

Bianca should play with her phone for 1.5 hours to use the entire battery.

Bianca spent 1/2 of an hour playing on her phone which used up 1/3 of her phone's battery.

Then,

Therefore, Bianca should play with her phone for 1.5 hours to use the entire battery.

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Answer:

It works in both equations, so the two numbers are 60 and 12.

Step-by-step explanation:

Answer:

C. 92

Step-by-step explanation:

88 + 96 = 184

184/2 = 92

Hope this helps :)

Answer:

x2 + 3x − 2

Explination: trust pls

Answer its the first one

Step-by-step explanation:

Answer:

7 grids

Step-by-step explanation:

-start at one of your points

-count up or down the y-axis to the other point.

-count along the x-axis to your other point.

-add the 2 lengths.

You can see that JL = LK  and  MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK

A midpoint is a point that divides a line of a segment into two equal parts. It also means that the point bisects the given line.

If the point L is the midpoint of JK, then;

JL + LK = JK and;

JL = LK .........1

Similarly, K intersects MK at K, then;

MK ≅ JL..........2

From equation 1 and 2, you can see that JL = LK  and  MK ≅ JL, hence according to the transitive property, we can conclude that LK ≅ MK

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