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2 years ago

Which Graph Represents A function ? NEED ANSWER ASAP !!!!

Mathematics

2 answers:

ANEK [815]2 years ago

7 0

Answer:

The very last one is a function

Step-by-step explanation:

The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.

To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.

I hope this helps!! :D

Alexeev081 [22]2 years ago

3 0

Answer:

The last graph represents a function.

Explanation:

A function cannot be one-to-many, i.e., one value of x cannot produce multiple values of y.

In the first graph, when x = 1, y = 3 and y= -2, so it is not a function.

In the second graph, when x = 2, y = 2 and y = -2, so it's not a function.

In the third graph, when x = -3, y = 2 and y = -2, so it's not a function.

∴ In all the graphs except the last, single values of x give multiple values of y on the graph, so they are not functions.

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Match the following reasons with the statement givem

ANEK [815]

Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

$\angle R =\angle Q$ [Angle]

$AS =AT$ [Side] [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ $\angle 5= \angle 6$ [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

$\angle 4$ , $\angle 5$ are supplementary and $\angle 6$ , $\angle 7$ are supplementary.

⇒ $\angle 4+ \angle 5 =180^{\circ}$ and

$\angle 6+ \angle 7 =180^{\circ}$

Two $\angle 's$ supplementary to equal $\angle 's$

$\angle 4+ \angle 5 =\angle 6+ \angle 7$

Since, $\angle 5 =\angle 6$

then, we get;

$\angle 4 =\angle 7$ [Angle]

then, by AAS postulates,

$\triangle RAS \cong \triangle QAT$

By CPCT[Corresponding Part of Congruent Triangles are equal]

$RS = QT$ Hence Proved!

7 0

3 years ago

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

vitfil [10]

Answer:

Step-by-step explanation:

3 0

2 years ago

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

Thus Liza need to drive 2 more hours to reach her sister house

4 0

3 years ago

The following data pairs represent the average temperature x (in degrees Fahrenheit) and electricity

elena55 [62]

Answer:

The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.

Step-by-step explanation:

Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:

n = 12

∑x = 904

∑y = 2,169

∑xy = 167,532

∑x² = 69,552

∑y² = 404,615

r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]

Replacing with the real values, we have:

r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]

r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]

r = 49,608/√17,408 * 150,819

r = 49,608/ 51'239.215

r = 0.00097

The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.

4 0

2 years ago

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B5%7D%7B7%7D%20%2B-%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1"

natali 33 [55]

3/5 + 5/7 = 1 11/35 - 1/5 = 1 4/35 which is your final answer.

7 0

3 years ago

Read 2 more answers