Which tables represent linear functions? Check all that apply.

Answer:

Step-by-step explanation:

R = 180°-P-Q = 180°-(P+Q) = 180°-126° = 54°

9x = 54°

x = 6°

Answer:

Step-by-step explanation:

The transformations include:

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

The transformation applied to the point U:

Answer:

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

Distance between two points:

Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

[tex]\sqrt{(x-4)^2+(0-(-7))^2} = 14[/tex]

[tex]\sqrt{x^2 - 8x + 16 + 49} = 14[/tex]

[tex]\sqrt{x^2 - 8x + 65} = 14[/tex]

[tex](\sqrt{x^2 - 8x + 65})^2 = 14^2[/tex]

[tex]x^2 - 8x + 65 - 196 = 0[/tex]

[tex]x^2 - 8x - 131 = 0[/tex]

So [tex]a = 1, b = -8, c = -131[/tex]

[tex]\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12[/tex]

[tex]x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12[/tex]

The points are: (16.12,0),(-8.12,0).

Answer:

159

Step-by-step explanation:

10 with a exponent of 2 is 100

3+5 with a exponent of 2 is 64

100+64=164

164 - 5 = 159

Answer:

[tex]P(At\ least\ 1) = 0.9963[/tex]

Step-by-step explanation:

Represent the probability that a graduate finds a job with p

[tex]p = 55\%[/tex]

Required

Determine the probability that at least 1 of 7 gets a job.

In probability:

[tex]P(At\ least\ 1) = 1 - P(None)[/tex]

So, we calculate the probability that none of the 7 gets a job.

Represent the probability that a graduate will not get a job with q.

[tex]q= 1 - p[/tex]

[tex]q= 1 - 55\%[/tex]

[tex]q=45\%[/tex]

Represent as decimal

[tex]q = 0.45[/tex]

The probability that none of the 7 will get a job is [tex]q^7[/tex]

i.e.

[tex]P(None) = q^7[/tex]

So, we have:

[tex]P(At\ least\ 1) = 1 - P(None)[/tex]

[tex]P(At\ least\ 1) = 1 - q^7[/tex]

Substitute 0.45 for q

[tex]P(At\ least\ 1) = 1 - 0.45^7[/tex]

[tex]P(At\ least\ 1) = 1 -0.00373669453[/tex]

[tex]P(At\ least\ 1) = 0.99626330547[/tex]

[tex]P(At\ least\ 1) = 0.9963[/tex] -- approximated

Answer:

Ok, so this is a word game, basically. The answer would be no, he is not correct BECAUSE...⬇

Step-by-step explanation:

It looks to be asking "Is Jesse correct in saying that he has EXACTLY one liter left?" That would be a no because even though 10L-7L= 3L, the problem asks if he does have exactly ONE liter left, and Jesse says he DOES. But, according to my little equation above, if he drank 7L, he would have 3L left, NOT 1L. Soo, my answer would be "No, Jesse is not correct because 10L-7L=3L and if he says there is 1L left, he would not be correct because there are 3L left." Hope that helps!

Answer:

30/90 or 1/3

Step-by-step explanation:

This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.

Hope this helps!

Answer:

1/3

Step-by-step explanation:

P=6/10 ×5/9=30/90=1/3

Answer:

6^-1

Step-by-step explanation:

The simplified form of the expression is 6⁻¹

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplifying algebraic expressions.

Giiven here: 6⁻⁶/6⁻⁵ = 6⁻⁶⁺⁵

                                  = 6⁻¹

Hence, The simplified form of the expression is 6⁻¹

Learn more about exponents here:

https://brainly.com/question/5497425

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Answer:

0.9393 = 93.93% probability that Daniel does not win the prize

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 280 tickets.

Daniel does not have 280 - 17 = 263 of them. So

263/280 = 0.9393

0.9393 = 93.93% probability that Daniel does not win the prize

Answer:

18

Step-by-step explanation:

you divide each value by 2 and times by 3 to get the values in the bigger triangle. this logic makes the missing side 18

Answer:

17

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

Old plan :

Initial fee =. $29

Hourly fee = $2.50

New plan :

Initial fee = $19

Hourly fee = 3.25

Let number of hours = x

When new plan will be more expensive than old plan :

19 + 3.25x > 29 + 2.50x

3.25x - 2.50x > 29 - 19

0.75x > 10

x > 10 / 0.75

x > 13.3333

After 14 hours

B . (3,2)

Step-by-step explanation:

I'm unsure of how to explain it but it is B :) have a good day !

Answer: c

Step-by-step explanation: start at -4 then add 7 to that then .5

Answer: The probability is 0.448

Step-by-step explanation:

First, 44% of adults use their smartphones in meetings or classes, then the probability that a random adult uses their smartphone on a meeting is:

p = 0.44

Then the probability that a random adult do not use it is:

q = 1 - 0.44 = 0.66

If 8 adult smartphone users are randomly​ selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.

For a random (and fixed) case, the probability will be equal to the product of the individual probabilities for each person, this leads to:

P = (0.44)*(0.44)*(0.66)*(0.66)*(0.66)*(0.66)*(0.66)*(0.66)

P = (0.44)²*(0.66)⁶ = 0.016

And now we need to consider the different combinations. If we have C combinations, then the probability for the event will be C*P.

Remember that if we have N elements, the total number of different groups of K elements (from these N elements) is:

[tex]C(N,K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case, we have N = 8, and K = 2

Then we get:

[tex]C(8, 2) = \frac{8!}{(8 - 2)!*2!} = \frac{8!}{6!*2!} = \frac{8*7}{2} = 4*7 = 28[/tex]

Then there are 28 different combinations.

This means that the probability is:

Probability = 28*P = 28*0.016 = 0.448

Probability = 0.448

Answer:

Explained below.

Step-by-step explanation:

The formula for the interior angle of any regular polygon is given as;

Interior Angle = 180(n - 2)/n

Where n is number of sides

We are told the interior angle is 40°

Thus;

180(n - 2)/n = 40

Cross multiply to get;

180n - 360 = 40n

180n - 40n = 360

140n = 360

n = 360/140

n = 2.57

Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.

Thus, a shape with interior angle of 40 cannot be a polygon.

There is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.

The sum of all the interior angles of a regular polygon is given as, (n - 2)180.

Thus, assuming an interior angle is 40°, thus, let's find out if there is any regular polygon that has an interior angle that measures 40° using the formula, (n - 2)180.

Thus:

(n - 2)180 = 40

180n - 360 = 40

180n = 40 + 360

180n = 400

n = 400/180

n = 2.22

Thus, there is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.

Learn more about regular polygon on:

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Answer:

15%

Step-by-step explanation:

Answer:

x =44

Step-by-step explanation:

180 - 86 - 50 = 44

Answer:

Step-by-step explanation:

You end up with a 30°-60°-90° triangle inside of △ABC.

The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.

AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.

AB = 5 units.

Answer:

20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.

Step-by-step explanation:

40% of 5 gallons is 2 gallons of sugar

x represents the number of gallons of solution to be added.

15% of x is sugar.

The total amount of sugar must be equal to 20% of the final mixture.

The end mixture will be x + 5 gallons

Change percent to decimal for the equation:

.2(x +5) = .15x +2

.2x +1 = .15x +2

.2x - .15x = 2 -1

.05x = 1

x = 20

Check:

.2(20 +5) = .15(20) +2

.2(25) = 3 + 2

5 = 5 true

This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.

20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.

Answer:

The probability of selecting a daisy from S is less than the probability of selecting a daisy from T.

Step-by-step explanation:

The probability of selecting a daisy from S is 6/30=20%.

The probability of selecting a daisy from T is 6/12=50%

The probability of selecting a daisy from S is not equal to the probability of selecting a daisy from T.

The probability of selecting a daisy from S is less than the probability of selecting one from T.

Answer:

C) 6

Step-by-step explanation:

Answer:

45/3 i believe.

Step-by-step explanation:

75 divided by 5 is 15 so 15 X 3 is 45 so coverting it into a pproportion should be 45/3

Answer:

45

Step-by-step explanation:

Answer: z = -13

Step-by-step explanation:

2z + 10 + 4 + = - 12

2z = -10 -4 - 12

2z = -26

z = -13

Hello! :)

[tex]\large\boxed{\text{Linear.}}[/tex]

The function pictured is a straight line, so it has a constant slope for all x values.

A function that has the same slope on its domain and when graphed is a straight line is a linear function.

Answer:

There are no expressions provided in the question.

Answer : 30x=22y <= (less than or equal to) 130

Step-by-step explanation: