Which is the graph of f(x) = (4)x?

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

[tex](9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729} [/tex]

EXPLANATION

The given expression is

[tex](9 {c}^{ - 9} )^{ - 3} [/tex]

Recall that:

[tex] ({a}^{m} )^{n} = {a}^{mn} [/tex]

We use the law of exponents to get

[tex](9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3} [/tex]

Let us multiply in the exponents to get:

[tex](9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27} [/tex]

Recall again that:

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

This implies that:

[tex](9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27} [/tex]

We expand the power to get:

[tex](9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}[/tex]

[tex](9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27} [/tex]

We multiply out to get:

[tex](9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729} [/tex]

Answer:

Step-by-step explanation: the answer is b

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:

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:

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:

  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

[tex]x = 22 \: units[/tex]

EXPLANATION

The length of the two chords in the diagram are the same because equal chords are equal distance from the center.

We can see that the two chords are all 12 units from the center.

The line from the center meeting the chords at right angles bisects these chords.

Therefore

[tex]x = 2 \times 11[/tex]

[tex]x = 22 \: units[/tex]

Answer:

  W'' = (2, -3)

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate.

So, point W' is (-2, -3).

Reflection over the y-axis changes the sign of the x-coordinate.

So, point W'' is (2, -3).

___

The answer can be determined by doing the reflections algebraically, as above, or by doing them on a graph, as below.

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:

  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:

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:

https://brainly.com/question/12463306

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:

  a. Using multiplication and addition to check the digits, it is invalid because the total is 51 and does not end in a 0

Step-by-step explanation:

The sum of alternate digits is multiplied by 3. Those digits are ...

 0 3 5 0 1 1 . . . . sum of 10

The sum of remaining alternate digits is added to that.

  7 8 2 0 3 1 . . . . sum of 21

The result of the arithmetic ...

  mod(3×10 + 21, 10) = 1 . . . . . should be zero for valid GTIN-12 UPC code

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:

[tex]\text{D. }\left[\begin{array}{cc}0&4\\-6&1\\3&-4\end{array}\right][/tex]

Step-by-step explanation:

It would be helpful to know the numbers of rows and columns, so we don't have to guess.

Any number of on-line calculators and/or graphing calculators can multiply these matrices for you. Excel and other spreadsheets can do this, too. Forming the 6 sums of 2 products is tedious to do by hand.

For example, the term in the product matrix at row 1 column 2 is the sum of products of the numbers in row 1 of the first matrix and column 2 of the second matrix:

  4·1 + 0·1 = 4

_____

The attachment shows the matrix multiplication on a TI-84 calculator.

Vectors can be multiplied by scalars, where each component of the vector is multiplied by the scalar. In the student's question, direct multiplication isn't possible due to different number of components in both vectors. However, we can partially apply the concept to illustrate vector and scalar multiplication.

The question being asked here is about multiplying vectors within the subject of Mathematics. It's important to note that vectors can be multiplied by scalars, and each component of the vector is multiplied by the scalar. In this question, it seems there might be a typo because the two vectors have a different number of components and cannot be multiplied directly.

However, multiplication of vectors by scalars does not involve reversing signs or changing magnitude based on whether the scalar is negative or positive. If Vector A is multiplied by a scalar c, all components of Vector A are simply multiplied by c.

So, applying this concept to part of the vectors in the question, we would get [0, 4, -3] when [4, 0, -1] is multiplied by the scalar 0 and 1 respectively.

https://brainly.com/question/31940047

#SPJ3

Answer:

d

Step-by-step explanation:

explanation- I think there a dent or something like the surface of the number seven being slightly high blocking the pointer and causing it to stop.

The statement that BESTexplains the results obatined is, the bottom of the spinner is not flat.

There is ony one explanation to the reason why the pointer will land on te section labled 7 four out of the five times.

The bottom of the spinner may not be flat and the section labled 7 could also be dented causing the spinner to land at this section each time it is spinned.

Thus, we can conclude that, the statement that BESTexplains the results obatined is, the bottom of the spinner is not flat.

Learn more about spinner here: https://brainly.com/question/1231277

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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.

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.

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:

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.

For this case we discard options A and B, since by definition, the graph does not correspond to the function of the Neperian logarithm.

We tested option C:

[tex]y = e ^ x[/tex]

Doing [tex]x = 0[/tex]we have:

[tex]y = e ^ 0[/tex]

Every number raised to zero power is 1.

So, we have:

[tex]y = 1[/tex]

We have the point (0,1)

If we try option D:

[tex]y = e ^ x + 1[/tex]

Doing x = 0 we have:

[tex]y = e ^ 0 + 1\\y = 1 + 1\\y = 2[/tex]

We have the point (0,2)

So, we note that the correct option is option C

ANswer:

Option C

Answer: Third option.

Step-by-step explanation:

Observe that the graph tends to zero when [tex]x<0[/tex] and "y" tends to infinite when [tex]x>0[/tex]

The function [tex]y=lnx[/tex] is not defined for values of "x" less than zero, therefore the equations of the options 1 and 2 do not represent the graph attached.

Observe that the function cuts the y-axis at [tex]y=1[/tex], while the function [tex]y=e^x+1[/tex] cuts the y-axis at [tex]y=2[/tex], therefore the equation of the last option does not represent that graph.

Finally, the equation that represents the graph is:

[tex]y=e^x[/tex]

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]

Answer:

  192 m²

Step-by-step explanation:

If it were as long as it is wide, the area would be that of an 8-meter square:

  (8 m)² = 64 m²

It is 3 times as long, so the area is 3 times that value:

  3 × 64 m² = 192 m²

Answer:

192 m²

Step-by-step explanation:

The width of the playground is 8m.

Now it's length is three times more than its width.

thus its length is 8*3 = 24.

The area thus is 24*8 = 192 m²

Answer:

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

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.

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!

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

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 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]

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