Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked

The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)

The rational equation is given as:

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]

Factorize the quadratic denominator

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]

Write out the denominators

(x + 2), (x - 1) and (x -1)(x - 2)

Remove the repetition

(x + 2) (x -1)(x - 2)

Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)

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Answer:

PQ = 6 units

Step-by-step explanation:

note that the y- coordinates of P and Q are both - 7

then PQ is the difference in the x- coordinates, that is

PQ = | 7 - 1 | = | 6 | = 6

or PQ = | 1 - 7 | = | - 6 | = 6

Answer: 155°

Step-by-step explanation:

The supplement of 25° is the angle that when added to 25° forms a straight angle (180°).

180°−25°

Subtract 25 from 180.

155°

Hope this helps!

The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499

The equation of a line  can be represented as follows:

y - y₁ = m(x - x₁)

where

Therefore, (7, 450)(14, 401)

m = 401 - 450 / 14 - 7 = -49 / 7 = -7

Therefore, using (7, 450)

y - 450 = -7(x - 7)

y - 450 = -7x + 49

y + 7x = 49 + 450

y + 7x = 499

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Answer:

Step-by-step explanation:

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

It can be represented:

≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

Kavinsky

Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.

Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:

Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.

La respuesta correcta es la opción D.

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Answer:

scale factor = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , Q to P , then

scale factor = [tex]\frac{3}{4}[/tex]

Answer:

60 copies would cost 3.60

Step-by-step explanation:

Answer: x^44y^16z^44

Step-by-step explanation:

[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]

[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]

Answer:

$4,915.2

Step-by-step explanation:

(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)

(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)

(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)

(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)

Answer:

Below.

Step-by-step explanation:

This is the correct solution:

6 - 2x + 5 + 4x

= -2x + 4x + 6 + 5

= 2x + 11.

It looks like they added  unlike  terms together (4x + 5) to give 9x (incorrect)  then added the 4x to give 13x.

Answer:

16 ft^2

Step-by-step explanation:

The area of a triangle is calculated by multiplying its height and base then dividing it by 2

Height of this triangle is given as 4ft

the base is 8ft

4*8/2 = 16 the area is given is square units so the answer is 16 ft^2

Answer:

21.

Step-by-step explanation:

Angles subtended by the same arc on the circumference of the circle are congruent, so:

2x = 42

x = 21.

Answer:

4

Step-by-step explanation:

Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

Answer:

4080 cm³

Step-by-step explanation:

Figure is of a cuboid

Given length (l) = 30cm

breadth (b) = 17cm

height (h) = 8cm

Volume of cuboid = l.b.h

= 30 × 17 × 8

= 4080 cm³

Answer:

it's x^2+2x-8

Step-by-step explanation:

-4<x<2. I don't know how to explain since I'm not good at English

length= 9 cm

width= 5 cm

height= 4 cm

the surface area of the given cuboid.

[tex]s.a = 2(lb + bh + lh)[/tex]

[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]

[tex]s.a = 2(45 + 20 + 36)[/tex]

[tex]s.a = 2 \times 101[/tex]

[tex]s.a = 202 \: {cm}^{2} [/tex]

therefore, the surface area of the given cuboid is 202 square centimeters.

Using a calculator, it is found that the correlation coefficient for this data is given by:

B. -0.901.

To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:

r² = -0.901.

Which means that option B is correct.

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volume: volume of cone is 1/3πr^2h

radius is 2

height is 6

plug into equation: 1/3π(2)^2*6=about 2.55 or 8π

surface area: surface area of cone is πrs+πr^2 where s is slant height.

to find slant height use pythagorean theorem: √(2^2+6^2)=√40

radius: 2

height:6

slant height: √40

plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π

I think it is negitave 6 times  negitave 6 hope this helps.

The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.

Then the measures of m angle ∠CAB and m angle ∠CAD will be  

Then we have

We know that

mADC = mAD + mDC

  224° = 180° + mDC

 mDC = 44°

Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have

2 ∠CAD = 44°

  ∠CAD = 22°

Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have

∠CAB + ∠CAD = 90°

   ∠CAB + 22° = 90°

            ∠CAB = 68°

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Answer:

2

Step-by-step explanation:

-3 log₂ (-n + 10) = -16+7

-3 log₂ (-n + 10) = -9

log₂ (-n + 10) = -9/-3

log₂ (-n + 10) = 3

-n + 10 = 2^3

-n + 10 = 8

n=2

Answer:

Answer is 5

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.