In this task, you will use the linear data from Task 1 to compare the linear functions.

Answer:  25/27

Step-by-step explanation:

4/9 + 4/5 (2/3)^2

4/9 + (4/5)(4/9)

4/9 + (16/54)

24/54 + 16/54

50/54

25/27

Answer:4/5

Step-by-step explanation:

(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

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Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

Answer:

$81.6

Step-by-step explanation:

You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

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Answer:

To Bend I would say.

Step-by-step explanation:

Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.

Answer:

21.6 ft

Step-by-step explanation:

Similar Triangles

6/10=B/36

B=21.6

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

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

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Answer:

The slope is undefined.

Step-by-step explanation:

You can use slope formula (y - y)/(x - x) and you will get a zero on the bottom (never allowed) OR notice that the x's are the same so sketch a graph, the line is vertical...that means that slope is undefined.

Answer:

y = 1/2x+2

Step-by-step explanation:

first find x intercepts : to find x intercept put 0 in y

1/2x+2 = 0

1/2x= -2

x = -4 the graph shows x intercept at 4

next find y intercept : to find y intercept put 0 into x

=1/2*0+2

=2

the graph shows y crosses at 2.

Answer:

y = 1/2x+2

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

51/x - 5i

this is the answerrrr

Answer:

0 & 0

Step-by-step explanation:

In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]

Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]

[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]

[tex]-2--2 = -2+2=0[/tex]

[tex]= 0[/tex]

[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]

[tex]m=\frac{-6--6}{3--3}[/tex]

[tex]-6+6=0[/tex]

[tex]-3+3=0[/tex]

[tex]=0[/tex]

Hope this helps.

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

The slope of the line is -(1/2)

Answer:

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

c) The x-intercept is determined at y = 0:

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

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Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

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Answer: 1 group 65 bananas

Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.

Answer:

50

Step-by-step explanation:

they have to add up to 80.

think about them sliding to the main vertex...

7x - 2 = 5x + 14

7x - 5x = 14 + 2

2x = 16

x = 16/2

x = 8

______

Hope it helps ⚜

Answer:

x = -8

Step-by-step explanation:

[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]