Use the coordinates of the plotted points to complete the calculation below. Pay
attention to negative signs.

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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Answer:

∠ RPQ = 28°

Step-by-step explanation:

Since PS = PQ then Δ SPQ is isosceles and the base angles are congruent.

∠ SPQ = ∠ SQP = x

Thus ∠ RQP = ∠ SQR + ∠ SQP = 34 + x

The sum of the 3 angles in Δ RPQ = 180°, thus

x + x + 34 + 90 = 180

2x + 124 = 180 ( subtract 124 from both sides )

2x = 56 ( divide both sides by 2 )

x = 28

Thus

∠ RPQ = x = 28°

Answer:

The volume of a cube that has edges of 334 inches is 27 27/64 cubic inches.

Step-by-step explanation:

The volume of a cube is given by the formula:

Volume = edge length^3

So if the edge length of a cube is 334 inches, the volume would be:

Volume = 334^3 cubic inches

You can also use the formula with 334334334 = 3,874,756 cubic inches

Answer: 334. V= a^3

3.733*10^7=334

334= 27 27/64

Step-by-step explanation: Hope this helps!! :)))

The value of the missing number and the 6th term is 3750

The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;

Tn = ar^n-1

From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5

Let's substitute into the formula

T5 = 6 × 5^5-1

T5= 6× 5^4

Find the value

T5 = 6 × 625

T5 = 3750

Thus, the value of the missing number and the 6th term is 3750

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Answer:

Fa

Step-by-step explanation:

Answer: 1385.44

Step-by-step explanation:

πr^2*h

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

Both computers will do the job in 5 hours and 14 minutes.

Since a computer can process the payroll for Hometel in 10 hours, while an older back up computer needs 11 hours to process payroll, to determine how long would the job take if the two computers are both used to do the job, the following calculation should be performed:

X / 10 + X / 11 = 1

10X + 11X = 110

21X = 110

X = 110/21

X = 5.238  

100 = 60

0.238 = X

0.238 x 60/100 = X

0.14 = X

Therefore, both computers will do the job in 5 hours and 14 minutes.

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This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.

In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.

The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.

So, the proportion in the body of the distribution is greater than 0.50.

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Answer:

i think its 90

Step-by-step explanation:

Answer:

A wave period is the measure of the time it takes for the wave cycle to complete.

The period of the wave is 2 seconds.

The expression that can be used to show how much money Rich earns in 8 weeks is: 8 * $35.

Rich earns $35 per week mowing lawns in his neighborhood.

We want to find out how much money he earns in 8 weeks.

To find the total amount of money Rich earns in 8 weeks, you can multiply the amount he earns per week ($35) by the number of weeks (8). This is because each week, Rich earns $35, so in 8 weeks, he will earn 8 times that amount.

So, the expression to calculate how much money Rich earns in 8 weeks is 35 dollars/week * 8 weeks.

By multiplying the amount earned per week by the number of weeks, we can determine the total earnings over the given period. In this case, Rich would earn a total of $280 in 8 weeks by mowing lawns in his neighborhood.

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Answer:

Total cost for the hotel room is $1310.4

Step-by-step explanation:

The total cost before tax was $1170.

The tax rate is 12%.

So, tax paid = 12%(1170)

Convert 12% to decimal. We get 12% as 0.12

So, tax =0.12*1170 =140.4

So, total cost for the hotel room = $140.4 +$1170 =$1310.4

The rejection region for a left-tail hypothesis test with a significance level of 0.05 is z < -1.96

The rejection region for a left-tail hypothesis test with a significance level of 0.05 is z < -1.96. Since the calculated test statistic of -1.95 falls just outside of the rejection region, but still within the non-rejection region, the correct conclusion would be to ""Fail to reject the null hypothesis"" (option b). This means that there is not enough evidence to reject the null hypothesis at the chosen level of significance.

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Answer:

first one top left

Step-by-step explanation:

The variance of the weights of the 10 subjects is 158.6527 kg^2.

The variance of a sample data measures how spread out the individual values are from the mean. To calculate the variance, you need to square the standard deviation.
Given that the standard deviation of the weights of the 10 subjects is 12.5915 kg, we can calculate the variance using the following steps:
1. Square the standard deviation:
  Variance = Standard deviation^2
  Therefore, Variance = 12.5915^2 = 158.6527 kg^2
So, the variance of the weights of the 10 subjects is 158.6527 kg^2.

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The function is not increasing on any interval.

First, we need to find the first derivative of the function:

y = -3x² - 5x + 2

y' = -6x - 5

Next, we need to find the critical points of the function by setting the first derivative equal to zero:

-6x - 5 = 0

-6x = 5

x = -5/6

Now, we need to use the second derivative test to determine where the function is increasing, decreasing, concave up, and concave down:

y'' = -6

Since the second derivative is a constant negative value, the function is concave down on the entire domain of x.

Now, we can use the first derivative and the critical point to determine where the function is increasing and decreasing:

When x < -5/6, the first derivative is positive, so the function is increasing.

When x > -5/6, the first derivative is negative, so the function is decreasing.

Therefore, the function is not increasing on any interval.

In interval notation, the function is increasing on the interval (-∞, -5/6) and decreasing on the interval (-5/6, ∞).

So, the correct choice is B. The function is not increasing on any interval.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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The annual gross income of Bernard is $53,200.

According to the statement

we have to find that the gross annual income which is subjected to the tax.

So, For this purpose, we have given information that is:

he has a wife, 4 children and 2 parents.

And the income required for all this is :

For himself = $3000

For wife = $2000

For 4 children = $4000*4 = $16000

For 2 parents = $5000 *2 = $10,000

And then

He paid an income tax of $1474 for the year 2018.

And

the gross tax payable for the first $40,000 is $550 and the tax rate for the rest is 7%.

Then

If tax for first 40,000 is 550 then it is clear that the annual amount is more than the 40,000.

So,

Left amount he pays as tax for more than 40,000 = 1474 - 550

Left amount he pays as tax for more than 40,000 = 924

An from given information:

The amount 924 behaves as the 7% of the income more than 40,000 then

924 = 7 /100 * x

here x is the income for which he pays 7% tax

then

924 = 7 /100 * x

92400 = 7x

x = 92400/7

x = 13,200.

The total gross income become = 40,000 + 13,200

The total gross income become = $53,200.

So, The annual gross income of Bernard is $53,200.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Bernard paid an income tax of $1474 for the year 2018. Of his gross annual income, the amount he paid will not be subjected to income tax

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Answer:

Since the graph looks like this, I would say solid line

The number of mosquitoes on the colony after 4 days is 2800.

The number of days that there are 70,000 mosquitoes will be 114 dad.

The population of a colony of mosquitoes obeys the law of uninhibited growth and there are 1000 mosquitoes initially and there are 1600 after 1 day. The common difference will be:

= 1600 - 1000

= 600

The formula for the arithmetic sequence will be:

= a + (n - 1)d

a = 1000

d = 600

n = 4

The colony after 4 days will be:

= a + (n - 1)d

= 1000 + (4 - 1)600

= 1000 + 1800

= 2800

The number of days that there are 70,000 mosquitoes will be:

a + (n - 1)d = 70000

1000 + 600(n - 1) = 70000

1000 + 600n - 600 = 70000

Collect like terms

600n = 70000 - 1000 + 600

600n = 68400

n = 68400/600

n = 114 days

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Answer:

Answer:

A) y ≥ -3x + 4

Step-by-step explanation:

Given the graph of an inequality, where it shows that the y-intercept is (0, 4), and the line has a negative slope (as it declines from left to right). To figure out the value of the slope, choose two points from the graph, and substitute its values into the slope equation,

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (0, 4)

(x2, y2) = (2, -2)

m = (-2 - 4)/(2 - 0)

m = -6/2

m = -3

Now that we have the value of the slope, m = -3, and the y-intercept, b = 4:

We need to determine which part of the region is shaded. Choose a test point that is not on the graph.  Let's use the point of origin, (0, 0) to see whether it is included as a solution:

Option A: y ≥ -3x + 4

Substitute values of (0, 0) into the inequality statement:

0 ≥ -3(0) + 4

0 ≥ 0 + 4

0 ≥ 4 (False statement). The shaded region must not contain the given test point, (0, 0), which is actually the case in your given graph. The right-half plane is the shaded region.  Hence, y ≥ -3x + 4 is the correct inequality statement that represents the graph.

The answer cannot be y ≤ -3x + 4 because if you plug in the test point into y ≤ -3x + 4, it will provide a true statement.

y ≤ -3x + 4

0 ≤ -3(0) + 4

0 ≤ 0 + 4

0 ≤  4 (True statement, which means that the region where the test point is located should be shaded).

Therefore, the correct answer is Option A) y ≥ -3x + 4

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The data are found to be normally distributed with a mean of 5.82 and a standard deviation of 1.43. The answer will be the later. 90.62% 

To find the percentage of first names with 7 letters or less, we need to use the Z-score formula to determine how many standard deviations the value 7 is from the mean.

Z = (7 - 5.82) / 1.43

The Z-score indicates how many standard deviations the value 7 is from the mean. A positive z-score indicates a value above the average, and a negative z-score indicates a value below the average.

A Z-score table or calculator can then be used with the standard normal distribution function to find the cumulative probability to which the Z-score compare. This cumulative probability is the percentage of data values ​​that are 7 or less. In this case, Z = 1.36 and the cumulative probability is approximately 0.9062. This means that about 90.62% of given names are seven letters or less of him. So the answer will be the later. 90.62% 

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Answer: (5x-1)(x+4)

Step-by-step explanation:what she said

Answer:

the third one ( -7+u+8t)

Step-by-step explanation:

first you add the ts together and you get 8. Then u keep the U and cancel out the +2 nad the -2. Then you are left with your answer. have a nice day

ANSWER

(-7, -8)

EXPLANATION

To locate the pair of numbers that add up to -15, look down your p+q column. This equals (p, q) (-7, -8).

Answer:

8.8 kilograms

Step-by-step explanation:

Answer: 83.6 Kg

Step-by-step explanation:

x * 0.1 = y ---> x = y/0.1

88 - y = x

y/0.1 = 88 - y

2y = 88 * 0.1

y = 4.4

88 - 4.4 = 83.6Kg

Answer:

I am pretty sure it is 22m

Step-by-step explanation:

minus 2

The probability that the disk will land entirely on one tile is 1/4.

For, this question I have attached an image which shows that the inner red square is the area of a tile in which the centre of the disk could land and the disk would be contained entirely within the tile while the grey area is the area in which the centre of the disk would land and the disk would not be entirely contained within the tile.

Now, The area of a square is the square of side length. The inner square has an area of 2² = 4 and the entire square (red and grey regions combined) has an area of 4² = 16.

Hence, the probability that the disk's centre lands in the red zone is the area of the red zone, divided by the total area, which is

                                                 4/16 = 1/4

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