combine like terms -9x+4y+9x-8y

Explanation

Given the expression

We can find the simplified format below

Answer:

The solution of the system of equations -6x -12= (1/2)x -4 include the following: D. x = -4 and x = -2.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant II and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-axis, which is given by  x = -4 and x = -2.

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Answer: it’s (4), I took the test too so I know it’s most likely right.

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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The equation for the reflected function is:

g(x) =  (1/2)*(3)^(-x)

Here we know that function g(x) is a reflection of f(x) across the y-axis.

Remember that the reflection is written as:

g(x) = f(-x)

Here we know that:

f(x) = (1/2)*(3)^x

Then, replacing that in the equation for g(x), we get:

g(x) =  f(-x) = (1/2)*(3)^(-x)

g(x) =  (1/2)*(3)^(-x)

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Answer:

Step-by-step explanation:

x/3 ≤ -6

x ≤ -18

answer is B

Answer:

B

Step-by-step explanation:

it is simple easy..first you have to through your 3 become times with -6,then you have your answer

Answer:

23 * 29

Step-by-step explanation:

pls give thanks, 5 star, brainliest

Answer:

No solution

Explanation:

Given the system

Graph the first equation -x+2y = 4.

Identify two points on the line. Plot and join them to get the graph of the line.

When x = 0, y =2. First point is (0, 2).

When y = 0, x = -4. Second point is (-4, 0).

Now, graph the second equation y= (1/2)x+3.

Identify two points on the line. Plot and join them to get the graph.

When x = 0, y = 3. First point is (0, 3).

When y = 0, x = -6. Second point is (-6, 0).

The graph of both lines are parallel, that is, not intersecting anywhere. Hence the system has no solution.

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

v = 1

Step-by-step explanation:

-6(9-9v)

-6*9 = -54

-6*(-9v) = 54v

-54+54v = 0

+54 +54

54v = 54

divide both sides by 54

v = 1

Answer:

Experimental probability of head = 2 / 5 or 40%

Step-by-step explanation:

Given:

Total chances of getting head = 20 times

Number of heads come = 8

Find:

Experimental probability of head

Computation:

Experimental probability of head = Number of heads come / Total chances of getting head

Experimental probability of head = 8 / 20

Experimental probability of head = 2 / 5 or 40%

The 6 number of muffins in each box if they all contain the same amount of muffins.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Jill made 20 muffins.

She put them into 3 boxes and has 2 muffins left.

That means,

muffins in the boxes =20 -2

                              = 18 muffins are in the boxes.

To find the number of muffins in each box if they all contain the same amount of muffins:

Divide the rest of the muffins to 3.

Number of muffins in the boxes / 3

= 18 / 3

= 6

Therefore, six muffins are in each box.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

Option B and D .....

If the provide option is correct

Or else it should be 7/9 and 0.777

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Answer:

x = 2, y = 1

Step-by-step explanation:

2x+3y = 7

y = 6x -11

Substitute the second equation in for y in the first equation

2x +3( 6x - 11) = 7

Distribute

2x+18x - 33 = 7

Combine like terms

20x - 33 = 7

Add 33 to each side

20x -33+33= 7+33

20x = 40

Divide each side by 20

20x/20 = 40/20

x= 2

Now find y

y = 6x-11

y = 6*2-11

y = 12-11

y =1

Answer:

B (2,1)

Step-by-step explanation:

X = 2, y = 1

Answer:

b. g(x)=|x+3|-1

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

the length of the arc is calculated as

arc = circumference × fraction of circle

     = 2πr × \(\frac{120}{360}\) ( r is the radius )

    = 2π × 10 × \(\frac{1}{3}\)

    = 20π × \(\frac{1}{3}\)

   = \(\frac{20\pi }{3}\) in

The required time hen will the rock be 9 meters from ground level is 6.40 seconds.

We can use the kinematic equations of motion to solve this problem. The equation we need is:

h = vi(t) + (1/2)at²

where h is the height of the rock above the ground at time t, vi is the initial velocity (positive when upward), a is the acceleration due to gravity (negative), and t is the time elapsed.

At the top of the cliff, the initial height h₀ = 45 meters and the initial velocity vi = 22 meters per second. When the rock is 9 meters above ground level, its height h = 9 meters. We want to find the time t at which this occurs.

First, we can use the equation of motion to find the time it takes for the rock to reach its maximum height. At the highest point, the velocity of the rock is zero, so vi = 22 m/s, a = -9.8 m/s^2, and h = h₀ + 0. We can solve for the time t1:

\(h=v_{i}t_{1}+\frac{1}{2}at_{1} ^{2}\)

\(0=22t_{1}-4.9t_{1}^{2}\)

\(t_{1} = 4.49 seconds\)

Next, we can use the same equation of motion to find the time it takes for the rock to reach a height of 9 meters on the way back down. This time, the initial height is h0 = 45 - (maximum height) = 45 - 22.45 = 22.55 meters, and the initial velocity is -vi = -22 m/s. We can solve for the time t2:

\(h=v_{i}t_{2}+\frac{1}{2}at_{2} ^{2}\)

\(9 = 22t_{2} + 4.9*t_{2}^{2}\)

\(t_{2} = 1.91 seconds\)

The total time for the rock to reach a height of 9 meters on the way back down is t = \(t_{1}+t_{2}\) = 6.40 seconds (rounded to two decimal places).

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Answer: (x-4)^2+(y+2)^2=18

Step-by-step explanation:

First fine line perpendicular to x=1(the opposite reciprocal of 1)

x2=-1*1/x

x2=-1/x

x2=-1/1

x2=-1 ==> perpendicular line

y=-x+b

-2=-4+b

b=2

y=-x+2

x2=x ==> Set x and x2 to equal each other to find the value of x.

-x+2=x

2x=2

x=1

y=-x+2

y=-1+2

y=1

Circle equation: (h-x)^2+(k-y)^2=r^2.

(-2-y)^2+(4-x)^2=r^2

(-2-1)^2+(4-1)^2=r^2

(-3)^2+3^2=r^2

9+9=r^2

r^2=18

r=18^1/2

(x-4)^2+(y-(-2))^2=r^2

(x-4)^2+(y+2)^2=18

Step-by-step explanation:

The awnser is c the square is enlarged by 4

Answer:

c

Step-by-step explanation:

becuase both sides moevd by 4 up and down

Answer:

18.85

Step-by-step explanation:

C=2πr

2(pi)3=18.85

The statement which is not true about the circle M is ∆ABM is isosceles.

The correct answer choice is option 2.

Based on the circle M;

diameter AC,

chords AB and BC,

radius MB

Isosceles triangle: This is a type of triangle which has two equal sides and angles.

Equilateral triangle is a triangle which has three equal sides and angles.

Hence, ∆ABM is equilateral triangle.

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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It should be noted that experimental probability is based on past observations and might not accurately predict future events.

It has been established that experimental probability is based on past observations or on historical data.

To determine the experimental probability of the high temperature being over 75 degrees on June 23rd, one would basically gather historical data of high temperatures on June 23rd from previous years. Then, one would calculate the proportion of times the temperature was over 75 degrees.

For example, if one had data for the past 10 years and on 7 of those years the temperature was over 75 degrees on June 23rd, the experimental probability would be 7/10 or 0.7 (or 70%).

Therefore, it's always a good idea to consult meteorological sources or weather forecasts for the most up-to-date and accurate information.

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Answer:

Step-by-step explanation:

This means the point travled to -5 on the x axis, then went down to -5 on the y axis, and then went +5 along the z axis

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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the area of the shape to the nearest tenth of a square centimeter is 12cm². Opti C

The formula for calculating the area of a an isosceles triangle is expressed as;

A = 1/2bh

Such that the parameters are expressed as;

From the information given, we have that;

base = 3 centimeters

Height = 8 centimeters

Substitute the values, we have;

Area = 1/2 ×8 × 3

Multiply the values, we have;

Area = 24/3

Divide the values

Area = 12 cm²

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