Please help to answer the question below

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).

The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.

Here we have

The quadratic function f(x) = x²/5 – 5x + 12

Now check each option as follows

1. The value of f(–10) = 82

To check this find f(-10) as follows

f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82

Hence, The value of f(–10) is equal to  82

2. The graph of the function is a parabola.

As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c

Hence, the quadratic function represents a parabola

3. The graph of the function opens down.

In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.

Hence, The graph of the function opens down is false

4. The graph contains the point (20, –8).

To check this substitute the point in f(x)

=> –8 = 1/5(20)²– 5(20) + 12

=> –8 = 80 – 100 + 12

=> –8 = –8   [ Which is true ]

Hence, The graph contains the point (20, –8).

5. The graph contains the point (0, 0).

=>  0 = (0)²– 5(0) + 12

=>  0 = 12   [ which is not true ]

Hence, The graph doesn't contain the point (0, 0).

Therefore,

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

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Answer:

25

Step-by-step explanation:

Answer:

hhjkiijhuuiiiuui8i8h g uiollll

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

In order to simulate the amount of bullseyes that Grace will strike during her upcoming turn, we can carry out the following steps:

Within each loop cycle, generate 5 random integers between 0 and 1 to represent the likelihood of hitting a bullseye with each missile.

Accumulate the total number of bullseyes achieved for each round by adding the number of times the generated figure is less than or equal to 2/3.

After successfully running the simulation through 10,000 rounds, divide the total number of bullseyes hit by 10,000 to get the average number of bullseyes struck every round.

Finally, state the expected number of bullseyes that Grace will hit on her next turn by saying the average from step 4.

As a result, by prudently repeating numerous rounds, our algorithm can factor in the differential element instinctive throughout this process and eventually obtain a more precise tally of the predicted number of bullseyes Grace may potentially hit during her upcoming turn.

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The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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The solution is, x = 39. Since we have a 102 degree angle it is a obtuse triangle.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

its angles , x, 102, x

now, we know,

The sum of the angles in a triangle add to 180

i.e.

x+ 102+x = 180

Combine like terms

so, we get,

102 + 2x = 180

Subtract 102 from each side

2x = 78

divide by 2, both sides,

x =39

Since we have a 102 degree angle it is a obtuse triangle.

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Answer:

1:3, for every day he runs 3 miles

1:3

2:6

3:9

ect

Answer:

depending on how many days he runs you multiply by three see since he only ran one day he only ran 3 miles lest say he ran for 5 days in a row he has ran 15 miles in total because 5x3=15 so the equation would be 3x

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Let's solve the equation:

110 = 2L +2*(2L-5)

110 = 2L +4L -10

110+10 = 6L

120 = 6L

6L = 120

L = 120/6

L = 20

Answer: L=20

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Answer:

\(\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Step-by-step explanation:

\(y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Remember to use the Quotient Rule

Answer:

4x^2 + 28x + 48

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4x^2 +28x+48

Step-by-step explanation:

see steps below:)

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)

The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.

The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.

It is demonstrated to rotate 180 degrees around the origin.

From the question:

The coordinates of B are - B(1, -8).

Thus, the formula is (x,y)→(−x,−y)  for a 180° rotation of the origin.

B' - (-1 ,-(- 8))

B' - (-1, 8)

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)

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Answer:b

Step-by-step explanation:

To get one stamp for each envelope and have nine extra, we must purchase one box of envelopes and five packs of stamps.

Let's call the number of packs of envelopes we need to buy "e" and the number of packs of stamps we need to buy “s”.

We know that envelopes come in packs of 6, and we need one envelope for each stamp, so we need 6s envelopes in total. We also know that stamps come in packs of 8, and we need one stamp for each envelope, so we need 8e stamps in total.

We are told that we have  \(9\) stamps left over, which means we have 8e + 9 stamps in total. We also know that we need 6s envelopes in total. Putting these two equations together, we get:

\(8e + 9 = 6s\)

We want to find the least amount of envelopes and stamps we need to buy, so we want to minimize e + s. Let's start by finding some possible values of e and s that satisfy the equation above:

If  \(e = 1\) , then  \(s = 5\) . This gives us a total of 8 envelopes and 40 stamps, which is enough for our needs.

If  \(e = 2\) , then  \(s = 9\) . This gives us a total of 12 envelopes and \(72\)  stamps, which is also enough for our needs.

Since we want to minimize e + s, we choose the first option, where \(e = 1\) and \(s = 5.\)

Therefore, we need to buy 1 pack of envelopes and 5 packs of stamps to get one stamp for each envelope with 9 left over.

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All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept

X=-12

Y=-9

Answer:

12 ÷ 0.03 move two places to the right

12÷3

4

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

Answer:

40/54 = 20/27

Step-by-step explanation:

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

If the correlation coefficient is 1, then the slope must be 1 as well.

Step-by-step explanation:

Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.

The complete factorization of x3-2x²+x-2 is (x+2)(x+1)(x-1)

Here is the step-by-step solution.

\(x^{3} -2x^{2} +x-2\\\\x^{2} (x-2) -1 (x-2)\\\\(x^{2} -1) (x-2)\\(x+2)(x-1)(x+1)\)

The complete factorization of the polynomial equation is

OD. (x+2)(x + 1)(x-1).

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Answer:

1000 gallons of tank

Step-by-step explanation:

Answer:

1.) 400, all you have to do is subtract the two populations and it gives you the amount that it grew by.

2.) it took 2 years, because that is the difference between 2005 and 2007.

3.)if you could tell me the option then that might help? but it grew on an average of 200 students per year.

4.)1002 would be the answer because if it goes down by 200 a year, then you have to subtract 2002-1000 giving you the answer

Step-by-step explanation:

hope this helps.

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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