Which graph shows the solution to the equation log2 (3x – 1) = 2?

Answer:

C. No solution.

Step-by-step explanation:

y = −2x + 1

4x + 2y = −1

Substituting y = -2x + 1 in the second equation:

4x + 2(-2x + 1) = -1

4x - 4x + 2 = -1

2 = -1  which is  absurd so there is no solution.

Answer:

x = -24

y = 66

Step-by-step explanation:

12x+9y = 102

12x+16y = 432

---------------------

y = 66

4x + (66*3) = 102

198-102 = -96

-96 / 4 = -24

Answer:

solution is [tex](6,10)[/tex]

Step-by-step explanation:

[tex]4x+3y=54[/tex]

[tex]3x+9y=108[/tex]

WE use elimination method to solve for x and y

Multiply the first equation by [tex]-3[/tex]

[tex]-12x-9y=-162[/tex]

[tex]3x+9y=108[/tex]

Now add both the equations, we will get

[tex]-9x=-54[/tex]

Divide by   [tex]-9[/tex] on both sides

[tex]x=6[/tex]

Now we plug in the x value in first equaiton and find out y

[tex]4x+3y=54[/tex]

[tex]4(6)+3y=54[/tex]

[tex]24+3y=54[/tex], subtract 24 on both sides

[tex]3y=30[/tex]

Divide both sides by 3

[tex]y=10[/tex]

So solution is [tex](6,10)[/tex]

Answer:

2.1

Step-by-step explanation:

Mean+z score(Standard deviation)=raw score

Let the z score be z

135+z(30)=198

30z=63

z=2.1

The z-score is a measure of how many standard deviations a score is from the mean. In this case, where the test was designed with a mean of 135 and a standard deviation of 30, a score of 198 results in a z-score of 2.1.

The z-score represents how many standard deviations an element is from the population mean. In this particular case, the results of a standardized test designed with a population mean of 135 and a standard deviation of 30 are given. A subject has a test score of 198.

To calculate the z-score, you use the formula: z = (X - μ) / σ. Where X is the score, μ is the mean, and σ is the standard deviation.

Substitute the given values into the formula:

z = (198 - 135) / 30

z = 2.1

So a test score of 198 would yield a z-score of 2.1.

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Answer:

1) graphical linear equation form (slope = -7, y-intercept = 2)

2) Standard linear form (slope = 2/3, y-intercept = -4/3)

Step-by-step explanation:

1) A graphical equation is always in the form of y = mx + c where y is the subject.

slope is the value before x which is -7

Y-intercept is where a line meets y axis so the value of x is 0. Y-intercept is 2.

y = -7x + 2

y= -7 (0) + 2 = 2

2) A standard form is where y is not the subject.

Step 1: Convert it into graphical equation form y = mx + c to identify the slope and y-intercept.

y + 2 = 2/3(x – 5)

y + 2 = 2/3x - 10/3

y = 2/3x - 10/3 -2

y= 2/3x - 4/3

slope is the value before x which is 2/3

Y-intercept is where a line meets y axis so the value of x is 0. Y-intercept is -4/3.

y= 2/3x - 4/3

y = 2/3 (0) - 4/3

y = -4/3

!!

Answer:

  your choice is correct

Step-by-step explanation:

In your selected set of boxes, ...

Box 1 has p(A) = 2/6 > p(B) = 1/6

Box 2 contains only B, C, and D.

Box 3 has P(D) = 4/6 = 2*P(C) = 2*2/6

Answer:

a. Putting all the names of the 50 elementary students sitting in the auditorium into a large fishbowl and pulling out only 10 names

Step-by-step explanation:

When one does simple random sampling picture it like a lottery. (This is actually a good example) It is a type of smapling that is done where a smaller portion of the whole population is chosen to participate in the research. It is called random because everyone in the population has an equal chance to be selected. Although the other examples are random sampling as well, they are more systematic than simple.

Answer:

A

Step-by-step explanation:

The peroson above is correct

Step-by-step explanation:

4y=6 (first equation)

3x+3y=9(second equation)

we know if a=a, a+x=a+x,ax=ax

now we add 3 times

4y=6(=)12y=18

now add 4 times

12x+12y=36

now we can eliminate the y and will be

12x=18

x=1,5

2x=3

Answer:

1/(w^35)

Step-by-step explanation:

According to the rules of exponents, you need to multiply both -7 and 5 such that you get...

w^(-35)

Since you cannot have a negative exponent according to the question, you simplify by...

w^-x means that you do 1/(w^-x)

1/(w^35)

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

Answer:

The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

we know that

When the transformation is a translation, the figure does not change its shape or dimensions,

so

AA'=BB'=CC'

therefore

The line segments AA' and BB' are parallel and congruent

Translation involves moving a function away from its original position.

The statement that describes the line segments is:

Both lines would be parallel and congruent

The translation is given as:

[tex]\mathbf{(x,y) \to (x + 1, y - 4)}[/tex]

Translation is a rigid transformation.

This means that, the image and the pre-image would have the same measure.

So, when a line is drawn from A to A' and B to B'

Assume the coordinates of A and B are:

[tex]\mathbf{A = (2,3) }[/tex]

[tex]\mathbf{B = (-4,6) }[/tex]

Apply transformation

[tex]\mathbf{A' = (2 + 1, 3 - 4) = (3,-1)}[/tex]

[tex]\mathbf{'B = (-4 + 1, 6 - 4) = (-3,2)}[/tex]

The distance of lines AA' and BB' is calculated using:

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

So, we have:

[tex]\mathbf{AA' = \sqrt{(2 -3)^2 + (3 - -1)^2 = \sqrt{17}}}[/tex]

[tex]\mathbf{BB' = \sqrt{(-4 --3)^2 + (6 -2)^2 = \sqrt{17}}}[/tex]

Notice that:

[tex]\mathbf{BB' = AA' = \sqrt{17}}}[/tex]

Because translation is a rigid transformation, then lines AA' and BB' would also be congruent

Read more about translations at:

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Answer:

Option A) 1

Step-by-step explanation:

we know that

The solution of the nonlinear system of equations is the intersection point both graphs

In this problem the intersection point is (-2,-1)

therefore

The system of equations has only one solution

Answer:

  Each pizza costs $11 and the delivery fee is $5

Step-by-step explanation:

We assume you want an interpretation of the equation.

The total cost of an order is the sum of any fixed cost (such as a delivery fee) and the variable cost.

Here, the variable cost is the cost of some number of pizzas. It is proportional to the number of pizzas. In the equation, it is represented by 11p, where p is the number of pizzas. The cost of each pizza must be $11, since the cost of p pizzas is 11p.

The equation's two parts are a fixed cost of $5 and a variable cost of $11 per pizza. The best description is ...

  Each pizza costs $11 and the delivery fee is $5

The cost (c) to have any number of pizzas (p) delivered is calculated using the equation c = 11p + 5. This implies that each pizza costs $11 and the delivery fee is $5.

The question involves the concept of linear equations in mathematics. In this particular case, the equation is c = 11p + 5. This equation denotes the cost (c) of pizzas delivered where each pizza prices ($11 each) is multiplied by the number of pizzas (p) and then added to the delivery fee ($5). Therefore, the third option, 'Each pizza costs $11 and the delivery fee is $5' is the correct interpretation of the equation.

To find out the cost of any number of pizzas, you would substitute that number in for 'p' in the equation. For instance, the cost of 5 pizzas would be calculated as 5 * $11 + $5 = $60.

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Answer:

  Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Step-by-step explanation:

A graph quickly shows the answer to this question.

__

In vertex form, the equation for Rocket A is ...

  y = -6(x² -16x +8²) +6(8²)

  y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet

__

The corresponding equation for Rocket B is ...

  y = -4(x² -20x +10²) +4(10²)

  y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet

Rocket B reaches a maximum height greater than that of Rocket A.

Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Answer:

57%

Step-by-step explanation:

From the table you can state that:

Use the definition of the probability

[tex]Pr=\dfrac{\text{The number of favorable outcomes}}{\text{The number of all possible outcomes}}[/tex]

So,

Hence, the probability is

[tex]Pr=\dfrac{6,101}{10,730}\approx 0.5685\approx 57\%[/tex]

Answer:

D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3+5

-8+8x=-8

divide both sides by 8

x=0

Answer:

42 + 14

Step-by-step explanation:

By counting the rows and columns, you'll notice the following:

1) The first pattern has 2 columns and increase by 1 column each time you move to the right.

2) The first pattern has 1 row and increase by 1 row each time move to the right.

3) To get to the 7th number, you will have to move to the right 6 times.

Hence,

1) if you start with 2 columns, and move 6 times to the right, each time adding one column you will end up with 2 + 6 = 8 columns

2) if you start with 1 row and move 6 times to the right, each time adding one row, you will end up with 1 + 6 = 7 rows

3) You will end up with a pattern with 8 columns and 7 rows and the number of dots will be 8 x 7 = 56.

If you work out all the answers, yo uwill see that only 42 + 14 gives you 56.

Answer:

[tex]243[/tex]

Step-by-step explanation:

[tex]3^2*3^3 = 9 * 27[/tex]

[tex]9 * 27 = 243[/tex]

Answer:

243

Step-by-step explanation:

[tex]3^2*3^3[/tex]

To solve your equation, employ the use of PEMDAS.

According to PEMDAS, exponents come before multiplication, so we can simply the 3 squared and the 3 cubed first.

3 squared is the same as 3 x 3, which is 9.

3 cubed is the same as 3 x 3 x 3, which is 27.

Thus, our new equation is

[tex]9*27[/tex]

Simply do the multiplication and you have your simplified answer.

[tex]9*27=243[/tex]

These percentiles on small data sets are confusing.  We have 8 data points.  So the median is the average of the 4th and 5th.

The upper quartile, 75th percentile, is between the 6th and 7th data point of the 8.  I calculated its index as (8-1)*.75=6.25.   One definition of upper quartile has us just pick the next one up, 36 here.  Another definition has us interpolate.  Since 6.25 = (3/4) 6 + (1/4) 7 we take (3/4) 33 + (1/4) 36 = 33.75 as a 75th percentile.  It's hard for me to choose without knowing what you were taught.

Answer:

D. Number line with shading everywhere

1. p>-3

2. p<6

Step-by-step explanation:

1. 4p+1>-11

Subtract by 1 both sides of equation.

4p+1-1>-11+1

Simplify.

4p>-12

Divide by 4 from both sides of equation.

4p/4>-12/4

Simplify, to find the answer.

-12/4=-3

p>-3 is the correct answer.

____________________________

2. 6p+3<39

Subtract by 3 from both sides of equatoin.

6p+3-3<39-3

Simplify.

39-3=36

6p<36

Divide by 6 from both sides of equation.

6p/6<36/6

Simplify, to find the answer.

36/6=6

p<6 is the correct answer.

D is the correct answer.

Answer:

B. Number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Step-by-step explanation:

Given compound inequality,

4p + 1 > −11 or 6p + 3 < 39,

4p > - 11 - 1 or 6p < 39 - 3

4p > -12 or 6p < 36

p > -3 or p < 6

⇒ -3 < p < 6

⇒ (-3 6)

That is, number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

Option 'B' is correct.

Answer: The time taken by both of them if they work together is given by

[tex]3\dfrac{3}{5}\ hours[/tex]

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

Time taken by Ned to paint one room = 6 hours

Work done by Blake  = [tex]\dfrac{1}{9}[/tex]

Work done by Ned = [tex]\dfrac{1}{6}[/tex]

Total work done by both of them together is given by

[tex]\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}[/tex]

So, the time taken by both of them if they work together is given by

[tex]\dfrac{18}{5}=3\dfrac{3}{5}\ hours[/tex]

Blake can do the work in 9 and part of work in 1 hour = 1/9

Ned can paint the same room in six hours, as well as do part of work in 1 hour = 1/6

If they do it together = 1/9+1/6=5/118, and they can do 5/18 part of work in hour = 1

So, they can do whole work in hours = 1/5/18=3.6

So if they do it together it will only take 3.6 hours.

Answer: -79, 21, 46, 80

Step-by-step explanation:

-79, 21, 46, 80

79 is a negative number making it the smallest. After -79 just order the numbers in the consecutive order of how you count.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

no

Step-by-step explanation:

exclusive pertains to one, hence the phrase, exclusive.

Mutually exclusive events or disjoint events are two events that don’t have anything in common. Nothing in common means NO INTERSECTION.

Answer: No!

Answer:

  36 million

Step-by-step explanation:

  (4/5)×(45 million) = (4/5×45) million = 36 million

Approximately 36 million people aged 24 to 34 attended movies that year.

Answer: 36 million.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total number of moviegoers (45 million) 4/5 (moviegoers between ages 24-34 )

Mathematically speaking:

45m x 4/5 =45 x 4/5= 36 million

it can also be solved like this:

45,000,000 x 4/5 = 36,000,000

The approximate number of people ages 24-34 who attended the movies in that year were 36 million.

Answer:

  B.  88°

Step-by-step explanation:

In a properly drawn circle graph, the central angle is proportional to the size of the number being displayed. Here, 122 of 500 selected football. Since the total angle of a circle is 360°, that fraction is ...

  (122/500)×360° = 87.84° ≈ 88°

Answer:

180-65=115

Step-by-step explanation:

Straight line always measures 180 degrees, take 180 and subtract 65 thats your answer.

Answer:

115 dude

Step-by-step explanation:

you just substract 65 with 180 and then you get 115

Answer:

The measure of angle x is [tex]26.1\°[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

so

[tex]tan(x)=\frac{26}{53}[/tex]

[tex]x=arctan(\frac{26}{53})=26.1\°[/tex]

The answer is:

The sum the other angles that do not measure 22° is equal to 316°.

[tex]158\°+158\°=316\°[/tex]

To find the sum of the rest of the angles, we need to  remember that a rhombus has two adjacent and equal angles, and also it has two opposite and equal angles.

So, we are given that the rhombus has an angle of 22°, and to calculate the other angles, let be the given angle an adjacent angle, so:

[tex]360\°=2*AdjacentAngles+2*OppositeAngles\\\\360\°=2*22\°+2*OppositeAngles\\\\2OppositeAngles=360\°-2*22\°=316\°\\\\OppositeAngles=\frac{316\° }{2}=158\°[/tex]

Hence, we have that the sum of its other angles that do not measure 22° is equal to 316°.

Have a nice day!

Tom could eat 4 burgers and 12 portions of fries.

Answer:

3

Step-by-step explanation:

15 minutes for one burger and another 5 for one portion of fries. If he has to eat a portion of fries after each burger that's 20 minutes. An hour is only 60 minutes allowing only enough time to eat 3 burgers and portions of fries. Simply because 60 divided by 20 is 3.

Answer:

option A.) y-3 = 1/16 (x-2)^2

Step-by-step explanation:

we know that

If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola

The equation of a vertical parabola is equal to

[tex]4p(y-k)=(x-h)^{2}[/tex]

where

(h,k) is the vertex

In this problem we have

(h,k)=(2,3)

p=4

substitute

[tex]4(4)(y-3)=4(4)(x-2)^{2}[/tex]

[tex]16(y-3)=(x-2)^{2}[/tex]

[tex](y-3)=(1/16)(x-2)^{2}[/tex]

Answer:

option A.) y-3 = 1/16 (x-2)^2

Step-by-step explanation:

Answer:

5 but its probaly not right bc im just looking for pointsStep-by-step explanation:

Hello There!

The number +10 can be used to indicate a 10-degree rise in temperature.

This is because this is an increase. All of the other options are a decrease meaning that there going down from where they were originally.