For which of the following equations is (-2,-3) not a solution?
A) y=x-1
B) -3x=4y-6
C) 2y-3x=0
D) 5x+2y=-16

Let's begin by identifying key information given to us:

To know if the vertex is the maximum or minimum point, we will follow this below:

Hence, the answer is B.(0,4); minimum

Answer:

1. 87x20(4) divided by 20.

Step-by-step explanation:

Answer:

9. 0.87

10. 1.24

11. 3.4

The factorized form for the given polynomials are:

8. 5n(3n² - 4).

10. x²(x - 8).

11. 4x(2x² - 3x + 10).

12. 6x³(1 + 5x).

13. 2w(w² + 3w - 18).

14. 3c²(4c - 1).

15. 2x(x + 3 - 80).

In the question, we are asked to factor the given polynomials.

8. 15n³ - 20n.

The given polynomial is 15n³ - 20n.

The terms are 15n³ and - 20n.

The HCF of the terms is 5n.

Taking the HCF common in the given polynomial, we get 5n(3n² - 4), which is the required form.

Going by the same method, the errors will have a solution as:-

10. x³ - 8x².

The factorized form is x²(x - 8).

11. 8x³ - 12x² + 40x.

Factorized form is 4x(2x² - 3x + 10).

12. 6x³ + 30x⁴.

The factorized form is 6x³(1 + 5x).

13. 2w³ + 6w² - 36w.

The factorized form is 2w(w² + 3w - 18).

14. 12c³ - 3c².

The factorized form is 3c²(4c - 1).

15. 2x² + 6x - 80.

The factorized form is 2x(x + 3 - 80).

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The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer:

hi hello he they 1235

Step-by-step explanation:

hi hello he they 1235

An ordered pair of point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)

In this question, we need to find an ordered pair for the point in Quadrant II, that is 8 units away from the point Q(0.75 -3.25) on a coordinate plane.

If we have a coordinate point (x, y) in Quadrant ||, if the coordinate is 8 units away, the resulting coordinate will be expressed as (x - 8, y + 8)

Given the point Q(0.75, -3.25) on the coordinate  the plane, if a point in  Quadrant II is 8 units away from this point, the resulting point will be (0.75 - 8, -3.25 + 8) which is (-7.25, 4.25)

Therefore, an ordered pair a point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)

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The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Recall that the maximum/minimum value of a function is the place where a function reaches its highest/lowest point.

We know that:

Multiplying the above result by 2 we get:

Subtracting 1 from the above inequality we get:

Therefore f(x) reaches a minimum at:

And f(x) reaches a maximum at:

Answer: Option C.

If \(f,g\) are inverses of one another, then

\(f\circ g(x) = g\circ f(x) = x\)

Given \(f(x)=x^2-1\) and \(g(x)=\sqrt{x-8}\), then

\(f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x\)

so right away we know \(f\) and \(g\) are not inverses.

In the other direction, we come to the same conclusion.

\(g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x\)

Answer:

5km/hr

Step-by-step explanation:

Given

Distance = 3km and 2km

Time = 30 mins, 15 mins, 15 mins

Required

Determine the average speed

To answer this, we need to determine the total distance.

Distance =3km + 2km = 5km

Then, we calculate the total time

Time = 30 mins + 15 mins + 15 mins = 1 hr

Next, we can now determine the average speed using:

Average Speed = Total Distance/Total Time

Average Speed = 5km/1 hr

Average Speed = 5km/hr

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

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Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

if we  that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:

100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.

If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.

So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:

On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.

However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

15

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac  

                3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15

Answer:

2.8

Step-by-step explanation:

.4 × 7 =2.8

.4+.4+.4+.4+.4+.4+.4

Hope this helps!!:)

Answer:

2.8

Step-by-step explanation:

This is the same as:

\(0.4+0.4+0.4+0.4+0.4+0.4+0.4\)

If we were to change the question to:

\(4+4+4+4+4+4+4=28\)

That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8  

Answer:

\(\sqrt[9]{3}\)

Step-by-step explanation:

The screenshot is proof that it’s the correct answer, because I used a calculator.

Answer:

38.3 miles per gallon

Step-by-step explanation:

if you divide the miles driven by the gallons used you get 38.3

689.4 / 18 = 38.3

1263.9 / 33 = 38.3

1570.3 / 41 = 38.3

ok

y = -2/5 + 1

This is the graph

There are two polygons that need to be similar

Both figures polygons A and C are similar because

all internal angles are similar

the length sides of polygon C are three times that in polygon A

The center of both polygons is ubicated at the same position with respect to its sides lines.

Som,in conclusion both polygons A and C are congruents, or similar.

Answer:

f'(1)=-1

Step-by-step explanation:

You can just find the derivative using the power rule for d/dx (x^-1)=-1x^-2=-1/x^2 then find f'(1)=-1.

I used the limit definition of the derivative to find the slope in the picture attached

Since the distribution is normal and the populatin standard deviation is known, we would calculate the z score by applying the formula,

z = (x - μ)/σ

where

μ is the population mean

σ is the population standard deviation

x is the sample mean

From the information given,

μ = 25.5

σ = 5.7

a) We want to find P(x ≥ 18.1)

P(x ≥ 18.1) = 1 - P(x < 18.1)

z = (18.1 - 25.5)/5.7

z = - 1.3

P(x < 18.1) is the area to the left of z = - 1.3 on the normal distribution table. Thus,

P(x < 18.1) = 0.0968

P(x ≥ 18.1) = 1 - 0.0968

P(x ≥ 18.1) = 0.9032

The probability that a cardiac patient who regularly participates in sports has a maximum oxygen uptake of at least 18.1 ml/kg is 0.9032

b) We want to calculate P(x ≤ 10.68)

z = (10.68 - 25.5)/5.7 =

z = - 2.6

P(x ≤ 10.68) is the area to the left of z = - 2.6 on the normal distribution table. Thus,

P(x ≤ 10.68) = 0.00466

The probability that a cardiac patient who regularly participates in sports has a maximum oxygen uptake of 10.68 ml/kg or lower is 0.00466

c) Since the probability is very low, the correct option is

A. Not very likely

Answer:

If the first one is a, next is b, ect., then answer is C

Step-by-step explanation:

Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.

Answer:

Q = 40.6°

Explanation:

Given three sides: 9.6, 8.1, 6.3

Use the cosine rule:

c² = a² + b² - 2ab cos(C)

Insert following variables:

6.3² = 9.6² + 8.1² - 2(9.6)(8.1) cos(Q)

39.69 = 157.77 - 155.52 cos(Q)

cos(Q) = -118.08/-155.52

cos(Q) = 41/54

Q = cos⁻¹(41/54) = 40.6°

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Answer:

converted to what?

Step-by-step explanation: