Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.

Which of the following actions could Sara take to prove her claim? Select two that apply.

A. Place the coordinate pairs in a table and show that they create equivalent ratios.


B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.


C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.


D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)

We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.

Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:

Label a, b, and c.

Decide the direction of the paraola:

If a > 0 (positive) then the parabola opens upward.

If a < 0 (negative) then the parabola opens downward.

Find the x-intercepts:

Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.

Find the y-intercept:

The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).

Find the vertex (h,k):

To find the x-coordinate for the vertex we use the following formula:

To find the y-coordinate for the vertex we plug in h in the original equation:

k = a(h)2 + b(h) + c

Plot the points and graph the parabola  

-Please Mark As Brainliest

Answer:

A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.

Step-by-step explanation:

The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.    

Answer:

A) 1320 yeards

Step-by-step explanation:

.25 mile is 440 yards so js multiply by 3

Answer:

85

Step-by-step explanation:

So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.

That is exactly what I though.

But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.

So, to find the angle of the trainge, lets take our 155 degree line.

Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:

180-155=missing angle

=

25. So we know that the smallest angle of the traingle is 25.

We also know that a traingle has a total of 180 degrees.

We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:

60+25

=

85

Now subtract it from 180:

180-85

=

95

So that last angle of the traingle is 95.

Now, we need to solve the missing angle of the line that will give us the answer.

Again, we know the line has to be 180, so lets subtract 95 from that:

180-95

=

85

So we know that the missing angle answer is 85!

I hope this isnt too confusing and helps! :)

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

Learn more about the supplementary angle visit:

https://brainly.com/question/17706490

#SPJ2

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Answer: A IS CORRECT

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

Answer:

7sq rt = 2.6457513110645907 = sqrt y^3

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

2

1+3

1+32+2

Answer:

1+3=4

2+2=4

there are only 2 possible ways in which the sum will add up to 4

therefore the answer is 2

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]

Answer:

y = –5x + 5

Step-by-step explanation:

Answer:

P

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Answer:

x = 50°

x = 70°

Step-by-step explanation:

A right angle is indicated by a small box.

The angles shown are right angles = 90° each. Therefore:

✔️x + 40° = 90°

Subtract 40° from each side

x = 90° - 40°

x = 50°

✔️x + 20° = 90°

Subtract 20° from each side

x = 90° - 20°

x = 70°

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:

22

Step-by-step explanation:

Count the dot

Answer:

2x+3

Step-by-step explanation:

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\cos(x)\tan(x)=\cos(x)[/tex]

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]

Factor:

[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]

Zero Product Property:

[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]

Solve for each case:

[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

The solutions are x = 2.5 or 7.5.