2x + 4y = 12
3x + 6y = b
in the given system of equations, b is a constant. If the system has infinitely many solutions, what is the value
of b?
A 3
B 6
C 12
D
18

Answer:

Step-by-step explanation:

Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0:  2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.

Now do the same thing with

-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4.  Thus, this function is not continuous at x = 2.  

We must reject statement A.

Statement B:  as x increases without bound, (1/2)x + 3 also increases without bound.  This statement is true.

Statement C:  False, because the quadratic -x^2 - 4x + 1 has a maximum at

x = -b/[2a], or x = -(-4)/[-2], or x = -2

Statement D:  True:  there are no limitations on the values of the input, x.

The statement B is as x approaches positive infinity f(x) approaches positive infinity is true

A point or level beyond which something does not or may not extend or pass.

We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]

at the break point x = 0

[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,

So these two functions approach the same value as x approaches 0.

Now do the same thing with

[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;

The first comes out to -11 and the second to 4.  

Thus, this function is not continuous at x = 2.  

We must reject statement A.

for B we have as x increases without bound,

[tex](1/2)x + 3[/tex]

also increases without bound.  

Therefore the statement B is true statement.

Statement C is  False,

because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at

[tex]x = -b/[2a],[/tex]

[tex]x = -(-4)/[-2],[/tex]

[tex]x=-2[/tex]

There are no limitations on the values of the input, x.

D is also false negative number are in real numbers.

Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true

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Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Answer:

Lateral area:

Total surface area:

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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Answer:

90

Step-by-step explanation:

Step-by-step explanation:

[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer: It is 202.1 lol

Answer:

I got great news for you! I have a wonderful grade in math...

Anyway the answer is 6,318

Step-by-step explanation:

Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).

as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.

1,404+4,914=6,318

So now WALLA we have our answer.

Answer:

I need the whole question..

Step-by-step explanation:

Have a nice day!

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

Answer:

0.7890176%

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

The probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%

We have given that,

First, there is a 64% chance of failing a test.

We have to determine the probability

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.

You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%.

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Answer:

67....................

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

Answer:

x=4

Step-by-step explanation:

7(2x+8)=4(28)

14x+56=112

14x=112-56

14x=56

x=4

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

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Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

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Answer:

The angle marked E is 120 degrees

Step-by-step explanation:

Here, we want to get the value of the angle marked E

when two triangles are similar/congruent, we have equal angle measures

Using the markings, we can deduce the following relationships;

4y -28 = 83 + y

4y-y = 83 + 28

3y = 111

y = 111/3

y = 37

So, we have;

4y-28 as

4(37) - 28

= 120

Answer:

go to this it should explain to u

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/complementary-and-supplementary-angles

Answer:

Step-by-step explanation:

7600 ≥ 250r+425p

7600 ≥ 250(13)+425(11)

7600 ≥ 3,250+4675

7600≥7925

This statement is incorrect. Therefore no, the truck cannot transport that load

Answer:

Distributive

Step-by-step explanation:

Answer:

This should be distributive

Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Answer:

asd

Step-by-step explanation:

asddffffffff

Answer:

1.98, 7.74, 3.26

Step-by-step explanation:

I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.

Hope this helped :)

Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

52

Step-by-step explanation: