Solve .

- 3a + 8 = 14

The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.

The parent function for this problem is the cube function translated up two units, hence it is defined as follows:

y = x³ + 2.

To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:

x = y³ + 2.

Then we must isolate the variable y, as follows:

\(y^3 = x + 2\)

\(y = \sqrt[3]{x + 2}\)

Which has the correct dashed graph given by option 3 on the image given.

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Answer:

90 + 2 = 92

180 - 92 = 88

Angle Q = 88

Step-by-step explanation:

All a triangles, angles should equal to 180.

Answer:

180 = 3 x + 90

Step-by-step explanation:

Hope it helps.Give me a brainliest please.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Given : b(x) = | x + 4 |

So, to find b(-10) , substitute with x = -10 at the function b(x)

So, b(-10) = | -10 + 4 | = | -6 | = 6

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

35.5

Step-by-step explanation:

Answer:

10 ; 10

Step-by-step explanation:

( 1 , 0 )

( 5 , 40 )

m = \(\frac{40-0}{5-1}\) = 10

y = 10x - 10

( 2 , 10 )

( 10 , 90 )

The area of triangle YCX is given as follows:

G. 2 units squared.

The area of square WXYZ is 16, hence the side length is given as follows:

s² = 16

s = 4.

Considering the midpoints, we have that the sides of the right triangle are given as follows:

YC = CX = 4/2 = 2

Hence the area of the triangle is given as follows:

0.5 x 2 x 2 = 2 units squared.

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The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

neHfzrusufsfisjfsjgdjtxktxkthkdkgdkgigcktxiyxkgxtixitzkfxkfxit

Step-by-step explanation:

mekhhggggggggggty

Answer:

12 5/6 hours

Step-by-step explanation:

154 ÷ 12 = 12.833333333333= 77/6 = 12 5/6

Answer:

yes im pretty sure correct me if im wrong. Good luck!!!!!

Step-by-step explanation:

The solution to the polynomial function is P(Q(x)) = 3x² - 10x + 19.

First, to find P(2x), we substitute 2x for x in the expression for P(x):

P(2x) = 3(2x)² - 4(2x) + 12

= 3(4x²) - 8x + 12

= 12x² - 8x + 12

To find the domain of P(x), we need to determine if there are any values of x that would make the expression undefined. Since P(x) is a polynomial function, it is defined for all real numbers.

Next, to find P(Q(x)), we substitute Q(x) = x - 1 into the expression for P(x):

P(Q(x)) = 3(Q(x))² - 4(Q(x)) + 12

= 3(x-1)² - 4(x-1) + 12

= 3(x² - 2x + 1) - 4x + 4 + 12

= 3x² - 10x + 19

Therefore, P(Q(x)) = 3x² - 10x + 19.

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The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

-1x

Step-by-step explanation:

P

E

M

D

Add 5x+3x=8x

S-9x -1

Answer: -x

Step-by-step explanation:

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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Answer:

each person gets 1/4

Step-by-step explanation:

The volume of the cone is 314cm³

A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.

The volume of the cone is 1/3πr²h

h²= 13²-5²

h = √169 - 25

h = √144

h = 12 cm

V = 1/3πr²h

V = 1/3 ×3.14 × 5² × 12

V = 942/3

V = 314 cm³

therefore the volume of the cone is 314cm³

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Here is the required diagram .

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\qbezier(0,0)(0,0)(4,3)\qbezier(1,0)(1.2,0.35)(0.8,0.6)\qbezier(3,3)(2.8,2.65)(3.2,2.4)\put(2.5,0.02){\vector(1,0){0}}\put(1.5,3.02){\vector(-1,0){0}}\end{picture}\)

Alternate angles are equal .

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

1.5241579e+16 is the answer

i d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d kv

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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We have the following function:

The graph of this function is given by:

We know that a function is increasing is the first derivative is greater than zero. The derivative of the given function is given by

Then, the condition is given by

which implies that

By means of this result and the graph from above, f(x) is increasing for x in:

Now, the function is decreasing when

which give us

Then, by means of this result and the graph from above, the function is decreasing on the interval:

In order to find the local extremal values, we need to find the second derivative of the given function, that is,

which gives

or equivalently

which can be written as

then, we get

From the above computations, the critical value point is obtained from the condition

which gives

This means that the critical point (maximum or minimum) is located at

In order to check if this value corresponds to a maximum or mininum, we need to substitute it into the second derivative result, that is,

The denimator will be positive because we have it is raised to the power 2, so we need to check the numerator:

which is negative. This means that the second derivative evalueated at the critical point is negative:

which tell us that the critical value of x= -1/2 corresponds to a maximum.

Since there is only one critical point, we get:

f(x) has a local minimum at x= DNE

f(x) has a local maximum at x= -1/2

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:6 1296720 1.29672 × 106

5 1296700 1.2967 × 106

4 1297000 1.297 × 106

3 1300000 1.30 × 106

2 1300000 1.3 × 106

1 1000000 1 × 106

Step-by-step explanation:

L := laptop

D := desktop

before finance, equation 1:

Di = 6% = 0.06 (desktop interest per year)

Li = 7% = 0.07 (laptop interest per year)

For one year, the total finance charge is (equation 2):

We substitute L (the equation 1) to the equation 2:

Then we substitute the value D in equation 1 to find the laptop price:

Therefore, the laptop and desktop prices are $1800 and $2100, respectively.

We need to apply the law of exponents. In this case we need to

Keep the base and add the exponents,

that is the third option.