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2 years ago

Which graph shows a set of ordered pairs that represent a function?

Mathematics

2 answers:

Yuri [45]2 years ago

4 0

Make XY tables for each option.

If any of the Tables have identical X numbers it is not a function.

The first option has two X's that re 2, so is not a function.

Second option has 2 x's that are 4's, so is not a function.

The third option has no repeating X values so is a function.

The fourth option has two -2's and two 0's so ids not a function.

The function is the third choice:

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).

KonstantinChe [14]2 years ago

4 0

Answer: On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).

Step-by-step explanation:

A function is a relation in which only one output value is associated with each input variable .

In coordinate - plane , we denote x= independent variable or as input value.

y= dependent variable or output value.

The first option is not a function because there are 2 output values corresponding to one input value (2, negative 1) and (2, negative 3).

The second option is not a function because there are 2 output values corresponding to one input value (4, negative 3) ,(4, 4).

The fourth option is not a function because there are 2 output values corresponding to one input value (negative 2, 1), (negative 2, negative 1) .

Only in third option , only one output value is associated with each input variable .

Therefore , the correct answer is "On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1)."

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Two quadrilaterals are congruent. One has vertices P, N, O, and M, and the other has vertices S, T, V, and U. These correspondin

Bogdan [553]

Answer: $NPOM \cong VUTS$ and $OPNM \cong TVUS$ will be correct.

Explanation:

Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent, where, OM is congruent or equal to TS and $\angle P\cong \angle U$ .

in quadrilaterals NPOM and VUTS-

since, the condition $\angle P = \angle U$

and, side UV=side OM follow for the above quadrilateral. (According to the figure)

then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.

similarly, these two conditions also follow in the case of $OPNM \cong TVUS$

we can understand it by making the figures.

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1 year ago

Read 2 more answers

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ

poizon [28]

Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

To solve this, we divide both sides by 1.29: 
 $\frac{1.29x}{1.29}$ ≤ $\frac{20}{1.29}$ ;
x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

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2 years ago

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How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner

Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

$\bar X= \frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=24050.67$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04$

$24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30$

So on this case the 95% confidence interval would be given by (14444.04;33657.30)

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2 years ago

What is the exact value of the cos F?

Galina-37 [17]

Answer:

cos(F) = 9/41

Step-by-step explanation:

The triangles are similar, so you know that ...

... cos(D) = cos(A) = 40/41.

From trig relations, you know ...

... cos(F) = sin(D)

and

... sin(D)² +cos(D)² = 1

So ...

... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)

... cos(F) = 9/41

_____

The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.

From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know

... cos(F) = cos(C) = 9/41

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2 years ago

In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is tin=20∘c and the tem

san4es73 [151]

Step 1:

Calculate the effective thermal conductivity of the wall or ceiling:

K_eff = [ (13 ÷ 8)(0.12) + (16 - (13 ÷ 8)) × (0.04)] ÷ 16

K_eff = [ 0.195 + 0.565] ÷ 16


K_eff = 0.76 ÷ 16

K_eff = 0.0475 W/ (m K)

Step 2:

Calculate the interior ceiling area:

Area of each of the interior side walls = 8.82 m x 8.64 m
= 76.2 m²

Area of the interior ceiling = 8.64 m × 8.64 m
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H = - k·A·(Δ - T) ÷ (thickness)

H = - 0.0475 ÷ (379.45 × 20) ÷ 45/8

H = - ( - 0.95 × 379.45 ) ÷ 0.1429

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2 years ago