2(4x-1) = -8x-2 no solution or infinitely many solution

Answer:

$430

Step-by-step explanation:

Let the weekly income be x

Money spent on food= $86

% of weekly income spent on food = 20

20% of weekly income in terms = 20/100 * x = x/5

This, income is equal to $86 as given

thus,

x/5 = 86

x = 86*5 = 430

Thus, weekly income is $430.

The graph will be a parabola opening upwards, with x-intercepts at x = 9 and x = -2, and a y-intercept at (0, -18).

To graph the function f(x) = x² - 7x - 18, we can follow a step-by-step process:

To find the x-intercepts, we need to solve the equation f(x) = x² - 7x - 18 = 0. We can do this by factoring, completing the square, or by using the quadratic formula. In this case, let's use factoring:

x² - 7x - 18 = 0

To factor this quadratic equation, we need to find two numbers that multiply to give -18 and add up to -7. After some exploration, we find that -9 and 2 are the required numbers:

(x - 9)(x + 2) = 0

Setting each factor equal to zero, we get:

x - 9 = 0 --> x = 9

x + 2 = 0 --> x = -2

So the x-intercepts are x = 9 and x = -2.

The y-intercept is the point where the graph intersects the y-axis. To find it, we substitute x = 0 into the equation:

f(x) = (0)² - 7(0) - 18

f(x) = -18

Therefore, the y-intercept is (0, -18).

Now that we have the x-intercepts (9 and -2) and the y-intercept (0, -18), we can plot these points on the graph.

Let's start by marking the x and y axes. Choose a suitable scale for the x and y axes, ensuring that the points are within the visible range. For example, you can set the x-axis from -10 to 10, and the y-axis from -30 to 10.

Next, plot the points (9, 0) and (-2, 0) on the x-axis, representing the x-intercepts. These points indicate where the graph intersects the x-axis.

Then, plot the y-intercept (0, -18) on the y-axis. This point represents where the graph intersects the y-axis.

The completed graph should resemble a U-shape, with the vertex  located in the middle. You can also choose additional points to plot on the graph to help visualize the shape and characteristics of the parabola.

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Complete Question:

Plot the graph for the function  f(x) = x² - 7x - 18

Answer:

28-R=M

28-19=9

R=19

M=9

Step-by-step explanation:

The number of magazines he would have left to read after reading 19 of them is 19.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Hans has 28 new magazines to read, M is the number of magazines he would have left to read after reading R of them. We need to write an equation relating M to R.

Since Reuben has 28 new magazines to read

And, here  M be the number of magazines he would have left to read after reading R

So here the equation is m + r = 28

Since r = 19

So, m + 19 = 28

m = 9

Hence, the number of magazines he would have left to read after reading 19 of them is 19.

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Sallie needs to invest roughly $6,940.83 for a 12-year return of $10,000 on her money. This is $6,940.84 (rounded to the closest penny).

We can use the formula for compound interest:

\(A = P * (1 + r/n)^(n*t)\)

where

We can rearrange the formula to solve for P:

\(P = A / (1 + r/n)^(n*t)\)

Plugging in the values, we get:

\(P = $10,000 / (1 + 0.03/52)^(52*12)\)

\(P = $10,000 / (1.00576923077)^(624)\)

\(P = $10,000 / 1.44062674109\)

\(P = $6,940.83\)

Therefore, Sallie needs to invest roughly $6,940.83 for a 12-year return of $10,000 on her money. This is $6,940.84 (rounded to the closest penny).

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The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

x is less than and equal to 2

Step-by-step explanation:

Do not know how to type the less than equals sing on a computer but its < with the _ under it!

Answer:

We see a line that has a filled in circle which means that we include that number.  We also know that we are going in the negative direction from the number 2.

Using the information we can determine that our inequality is the following

\(x \leq 2\) because our solutions are anything less than or equal to 2.

Answer:

15°

Step-by-step explanation:

angle FGH = angle HGI ( since GH bisects angle FGI)

that means

(2x + 1) = (3x - 9)

= -x = -8

x = 8

angle HGI = (3x - 9)

= 3(8) - 9

24 - 9

= 15°

Answer:

21

Step-by-step explanation:

To find the measure of <HGI we first need to find the value of x

GH bisects angle <FI which means it divided the angle into two equal parts:

<FGH = <HGI

2x + 1 = 3x - 9 transfer like terms to the same side of the equation

1 + 9 = 3x - 2x

10 = x now replace x with 10

3*10 - 9 = 21

Answer:

y=3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5y+ −1/2=7

Step 2: Add 1/2 to both sides.

5y+/−1/2+1/2=7+1/2

5y=15/2

Step 3: Divide both sides by 5.

5y/5

=

15/25

y=3/2

The solution of the given equation is y = 3/2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have given the equation as

⇒ 5y - 1/2 = 7

Add 1/2 to both sides in the above equation.

⇒ 5y - 1/2 + 1/2 = 7 + 1/2

⇒ 5y = 15/2

Divide both sides by 5

⇒ y = 15/10

⇒ y = 3/2

Hence, the solution of the given equation is y = 3/2.

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Answer:

2.5

Step-by-step explanation:

Answer:

s=ut +atsq/2

120=4u+4sq

4u=104

u=26m/sec

Answer:

26 m/s

Step-by-step explanation:

Given

\(s = ut + \frac{1}{2} {at}^{2} \)

When a = 2 , s = 120 and t = 4

Then

\(120 = u \times 4 + \frac{1}{2} \times 2 \times {4}^{2} \\ 120 = 4u + 16 \\ 120 - 16 = 4u \\ 104 = 4u \\ u = \frac{104}{4} \\ u \: = 26

Hope it will help :)❤

To determine the number of elements in the sample space, we need to consider all possible outcomes when pulling out one sock from the drawer.

In this case, there are two possibilities: either a red sock is selected or a blue sock is selected.

Therefore, the sample space consists of two elements: {red sock, blue sock}.

To find the probability of selecting a red sock, we divide the number of favorable outcomes (red socks) by the total number of possible outcomes (sample space).

Number of red socks = 16

Total number of socks = 16 (red) + 18 (blue) = 34

Probability of selecting a red sock = Number of red socks / Total number of socks

= 16 / 34

The probability of selecting a red sock is 16/34, which can be simplified to 8/17 as a fraction.

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Answer:

The answer you are looking for is the part d

For a 4 x 7 matrix which has three pivot columns, col A = R^3 is incorrect. The dimension of Nul A is 4.

Supposing a 4 x 7 matrix which has three pivot columns Col A ≠ R^3 because the number of pivot columns in a matrix determines the dimension of the column space of the matrix, which is equal to the rank of the matrix. In this case, since there are three pivot columns, the dimension of the column space of matrix A is 4, which means Col A ≠ R^3.

However, the dimension of the null space of matrix A is determined by the difference between the number of columns and the rank of the matrix. In this case, the dimension of the null space of matrix A is 7 - 3 = 4. Therefore, the dimension of Nul A is 4.

To summarize, the dimension of Col A is 3 and the dimension of Nul A is 4.

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Answer:

Based on the information provided, it can be conjectured that your cousin is 18 years old or older.

Step-by-step explanation:

Based on the information provided, it can be conjectured that your cousin is 18 years old or older.

Answer:

\(\frac{n+2}{8}\) has a remainder of 7 ⇒ B

Step-by-step explanation:

In m ÷ n = c + \(\frac{r}{n}\) ,

Let us use the facts above to solve the question

∵ \(\frac{n}{8}\) has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

  that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵ \(\frac{n+x}{8}\) has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

  that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴ \(\frac{n+2}{8}\) has a remainder of 7

With a sample size of 10 and a population variance of 4,

a) To calculate the probability that the variance of a random sample exceeds a certain value, you can use the chi-square distribution.

In this case, with a sample size of 10 and a population variance of 4, you can calculate the probability using the cumulative distribution function (CDF) of the chi-square distribution with degrees of freedom equal to 10 minus 1. Here's an example of the code you can use in R:

```

# Set the parameters

sample_size <- 10

population_variance <- 4

test_value <- 6.526

# Calculate the probability

probability <- 1 - pchisq(test_value, df = sample_size - 1)

# Print the result

probability

```

b) To find the probability P(Z < 2) for two independent random samples with different sizes, you can use the standard normal distribution. The probability P(Z < 2) can be calculated using the cumulative distribution function (CDF) of the standard normal distribution. Here's an example of the code in R:

```

# Set the parameter

z_value <- 2

# Calculate the probability

probability <- pnorm(z_value)

# Print the result

probability

```

By running these code snippets in R, you should obtain the desired probabilities for each scenario.

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Answer:

so...  18 / 2/3 =

I honestly think it's c.

Answer:

a4 = 5/9

Step-by-step explanation:

a1 = 15 , r = 1/3

, a4 =?

Explanation:

To find a4 we use formula

an = a1 · r

n−1

In this example we have a1 = 15 , r = 1/3

, n = 4. After substituting these values to above

formula, we obtain:

an = a1 · r

n−1

a4 = 15 ·

1

3

4−1

a4 = 15 ·

1

27

a4 =

5

9

Answer: y = -3x - 4

Step-by-step explanation:

Slope intercept form would be y = mx + b. To get your equation to this form you would need to isolate for y as shown:

3x + y = -4

y = -3x - 4 <-- Here I subtracted both sides by 3x

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

The slopes of GH, HI, IJ, and JG include the following:

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope GH = (-3 + 9)/(-4 + 7)

Slope GH = 6/3

Slope GH = 2.

Slope HI = (5 + 3)/(-6 + 4)

Slope HI = -8/2

Slope HI = -4.

Slope IJ = (-1 - 5)/(-9 + 6)

Slope IJ = -6/-3

Slope IJ = 2.

Slope JG = (-9 + 1)/(-7 + 9)

Slope JG = -8/2

Slope JG = -4.

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The system of equations:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

We have the equation:

3x + y = 4

Now we want to find an equation of a line such that if we make a system of equations, the system will have infinite solutions.

The system of equations will have infinite solutions only if both equations represent the same line, then we can rewrite our line like

3x + y = 4

If we multiply both sides by 2

2*(3x + y) = 2*4

6x + 2y = 8

And we can move some terms to get:

2y = -6x + 8

Then the system:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

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Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

Answer:

Step-by-step explanation:

Based on my calculations, if your couch is between six and seven feet from where you plan to place your TV, a screen of around 55 inches

75.13 cm^2

here , radius r is given in inches so

1 inch =2.54 cm

3 in = 7.62 cm

arear of circle = pi × radius

Area( 3.14 )^22 *

7.62 gives the answer as 75.13

Tara has £40 to spend on invitations for her party. She can spend the money in either shop 1 or shop 2 ,the maximum number of invitations she can buy from each shop is 40 .

The maximum number of invitations she can buy from each shop will depend on the cost of each invitation.

If the invitations at shop 1 cost £1 each, then she can buy a maximum of 40 invitations from this shop. However, if the invitations at shop 2 cost £2 each, then she can buy a maximum of 20 invitations from this shop.

It is important to consider the quality of the invitations. If the invitations at shop 1 are of higher quality than those at shop 2, then it may be worth spending more money on fewer invitations from shop 1. On the other hand, if the quality of the invitations is not important to Tara, then she may be able to purchase more invitations from shop 2.

The maximum number of invitations Tara can buy from each shop will depend on the cost of the invitations and the quality she is looking for. With her £40 budget, the maximum number of invitations she can buy from each shop is 40 from shop 1 and 20 from shop 2.

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Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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Answer:

m=3

Step-by-step explanation:

The frequency table shows that there is a relationship between buying a hot dog and buying a drink at a baseball game. The huge 70.2% is evidence of this.

The frequency table is meant to show the relationship between variables. Of all the values provided, the relationship with the highest percentage is 70.2%.

This shows that the number of people who purchased a hot dog while also purchasing a drink constituted the highest number. None of the figures come close to this one. So, there is a strong relationship between the variables.

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