How to graph the functionf(x)=4x

Answer:

There is 10% error in both minimum and extreme values i.e. 120 & 140 , Error in 120 is 10% i.e. = 12, Since value can be more or less in error ∴ Error in 120 is ±12.

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Answer:

Length= 15

Height= 7

Perimeter = 15 + 7 + 15 + 7 (44)

Area= 15 x 7 (105)

Unit= M

Step-by-step explanation:

Answer:

  all are "yes"

Step-by-step explanation:

A polynomial is defined for all values of x. None are excluded. Every value listed is in the domain of f(x) = (x +1)².

Answer:

Step-by-step explanation:

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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Answer:

V≈733.88cm³

Step-by-step explanation:

Thank you

Answer:

y = (-1/3)x - 7

or

y + 8 = (-1/3)(x - 3)

Step-by-step explanation:

First, find the slope (rise over run):

Δy / Δx = (-8 + 9) / (3 - 6) = 1 / -3 = -1/3

Then use one of the given points to put it into point-slope form:

y + 8 = (-1/3)(x - 3)

or optionally in slope-intercept form:

y = (-1/3)x - 7

Answer:

5/6 OR 0.83 (with the three repeating)

Hope that helps!

Step-by-step explanation:

Answer:

Decagon

Step-by-step explanation:

Answer: 15-agon

Step-by-step explanation:

Sum of number of sides , n

formula for number of diagonals =

\(\frac{n(n-3)}{2}\)

If you added the 2 and made = 105

n + \(\frac{n(n-3)}{2}\) = 105

multiply everything by 2 to get rid of fraction

2n + n(n-3) =210

2n + n² - 3n = 210

n²-n -210 =0        factor

(n-15)(n+14)=0  set each =0 and solve can't get - so -14 is invalid

n=15

Hi! So you need CE.  CD + DE = CE, and the values are 14 + 2x + 3.  That's 17 + 2x.  Is there any more given information?  I don't see what's available.  Otherwise that may be the only way you can simplify it.

The equivalent fractions when paired up would be:

We must first simplify each fraction before categorizing them according to their simplified form in order to couple equivalent fractions. Since 2/4 and 4/8 may both be reduced to 1/2, they are equal.

The same is true of 2/3 which may be reduced to 4/6, they are both equivalent. 3/4 is the same as 6/8, they are equivalent.

Since 1/3 may be simplified to 2/6, they are equivalent.

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According to the information, the classification of the fractions would be: 3/4 = 6/8, 1/3 = 2/6, 4/6 = 2/3

To classify the fractions in the correct option box we can carry out two procedures. The first one is to simplify the fractions to identify which ones are equivalent to those in the boxes. On the other hand, we can do the divisions of the fractions and those that have the same results go in the same box. According to the above, the fractions are classified as follows:

Note: This question is incomplete. Here is the complete information:

Attached image

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The vertical line intercept the the graph more than once, the graph is of a relation but it is not a function

Hence, the vertical line intercept the the graph more than once, the graph is of a relation but it is not a function.

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\(-2x+6=12\\2x=-6\\x=-3\)

Answer:

(14,0)

Step-by-step explanation:

Hope this helps....Just simply look at a graph of the equation to find your answer.

Answer:

(14,0)

Step-by-step explanation:

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Using the concept of ratio, the month of February had a better ratio in sales compared to January

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

This is the process of comparing two quantities against one another to determine their ratio against each other.

In the question given;

January = 10 minivans, 20 sedans

The ratio of minivans to sedan = 10 / 20 = 1/2

The ratio of minivans to sedan in January = 1/2

February = 15 minivans, 25 sedans

The ratio of minivans to sedans  = 15/25 = 3/5

The month of February has the highest ratio

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Answer:

define your variables.

Answer:

What's the question though?

If an item has a listed price of $65 and the sales tax rate is 5%, the sales tax will be $3.25 and the total cost will be $68.25.

If the item has a listed price of $65, the sales tax rate is 5%, we can first calculate the amount of sales tax as follows:

Sales Tax = Listed Price x Sales Tax Rate

Sales Tax = $65 x 0.05

Sales Tax = $3.25

So the sales tax on the item is $3.25.

To calculate the total cost, we simply add the sales tax to the listed price:

Total Cost = Listed Price + Sales Tax

Total Cost = $65 + $3.25

Total Cost = $68.25

So the total cost of the item with sales tax is $68.25.

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Answer:

Step-by-step explanation:

A = 6(12) + ½(12)(3) = 90 in²

Answer:

  18.1 feet

Step by step explanation:

You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.

To answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.

  cos(34°) = (15 feet)/(distance to be kicked)

  (distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet

This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.

Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.

We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).

The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.

We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.

Using trigοnοmetry, we can find the length οf AB:

tan(A) = οppοsite/adjacent

tan(34) = AB/15

AB = 15 * tan(34)

AB ≈ 9.43 feet

Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

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Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Answer:

about 6 weeks

Step-by-step explanation:

Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

The correct answers are D, B, and F.

To find the equivalent expression for 2⁴/2⁵, you can simplify the expression by dividing the exponents:

2⁴/2⁵ = 2⁴-⁵ = 2⁻¹

Thus, answer D, 2⁻¹, is correct.

You can also rewrite the expression as:

2⁴/2⁵ = (2⁴)/(2⁵) = (2/2)⁴ = 1/2

Thus, answer B, 1/2, is correct.

Finally, you can rewrite the expression as:

2⁴/2⁵ = (2⁴) × (2⁻⁵) = 2⁴+⁻⁵ = 2¹

Thus, answer F, 2¹, is correct.

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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