Let f (x) = x^2 - 2bx where b is a constant. What can you say about the zeros, y-intercept, axis and symmetry and extreme value of f(x) in terms of b? Justify your answers

The names of the angles, vertices and sides are listed below

The vertex is the point where two sides meet; and at this vertex, an angle is formed

Using the above definition as a guide, we have

The names of the angles in four ways are

Using the definition of vertex above, the names of the angles are

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The volume of a cube with a 9 m side is 729 cubic meters

The volume of a cube with an 8 in side is 512 cubic inches

The volume of a rectangular prism with the given length 5 ft., width 5 ft., height 7 ft is  175 cubic feet

The volume of a rectangular prism with the given length 10 ft., width 4 ft., height 5 ft is 200 cubic feet

The volume of a cube with a 9 m side:

V = s³

= 9³

= 729 cubic meters

The volume of a cube with an 8 in side:

V = s³

= 8³

= 512 cubic inches

The side of a cube with a volume of 343 cu.ft.:

s = cube root of V = cube root of 343 = 7 feet

The volume of a rectangular prism with the given length 5 ft., width 5 ft., height 7 ft.:

V = lwh

= 5 x 5 x 7

= 175 cubic feet

The volume of a rectangular prism with the given length 10 ft., width 4 ft., height 5 ft

V = lwh = 10 x 4 x 5 = 200 cubic feet

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The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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Answer:

Step-by-step explanation:

To solve for x, we use both given variables:

\(6x+5=3x+13\\6x-3x=13-5\\3x=8\\x=8/3\)

Hope this helped! Have a good day.

The answer is (B) (31.56, 38.44) which means we are 95% confident that the true population mean lies between 31.56 and 38.44.

The 95% confidence interval for the population mean, µ, is given by:

CI =  ± tα/2 * (s/√n)

where  is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom at the α/2 level of significance.

Here,  = 35, s = 9.38, and n = 22. From the t-distribution table with (n-1) = 21 degrees of freedom and a 95% confidence level, we have tα/2 = 2.08.

Plugging in the values, we get:

CI = 35 ± 2.08 * (9.38/√22)

= (31.56, 38.44)

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Answer:

C. 3

Step-by-step explanation:

To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so

8-5/2-1

3/1.

The slope is 3

Answer: C the slope is 3!

Step-by-step explanation:

When a correlation is computed while statistically controlling for a third variable, this is called a partial correlation.

Partial correlation is a statistical technique used to measure the strength and direction of the relationship between two variables while controlling for the influence of a third variable.

It allows us to examine the unique relationship between two variables, independent of the third variable's effects.

To compute a partial correlation, you need to use statistical software that offers this functionality.

The process involves calculating the correlation coefficient between the two variables of interest, while simultaneously controlling for the effects of the third variable.

This is typically done by including the third variable as a control variable in the analysis.

A partial correlation is the term used to describe the computation of a correlation while controlling for a third variable.

It helps researchers understand the relationship between two variables while accounting for the influence of additional factors.

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There are six elements of order 2 in A8 that have the disjoint cycle form (a1a2)(a3a4)(a5a6)(a7a8).

To find the number of elements of order 2 in A8 with the given cycle form, we first need to determine the number of ways we can choose which elements are paired together in each cycle. There are (8 choose 2) ways to choose which two elements are paired together in the first cycle, (6 choose 2) ways to choose which two elements are paired together in the second cycle, (4 choose 2) ways to choose which two elements are paired together in the third cycle, and (2 choose 2) ways to choose which two elements are paired together in the fourth cycle. Multiplying these together, we get (8 choose 2) * (6 choose 2) * (4 choose 2) * (2 choose 2) = 28 * 15 * 6 * 1 = 2520 possible cycle structures.

However, not all of these cycle structures correspond to elements of A8. We must check whether each structure has an even or odd number of transpositions. In this case, we have four transpositions, so the element will be even if and only if the cycle structure can be written as a product of an even number of transpositions. We can check this by counting the number of cycles in the cycle structure - if there are an odd number of cycles, we need to add one more transposition to make it even. In this case, we have four cycles, which is already even, so all 2520 cycle structures correspond to even permutations.

Finally, we need to count how many of these even permutations are in A8. The parity of a permutation is determined by the number of inversions it has, which is the number of pairs (i,j) such that i < j and pi > pj. In this case, we can count the number of inversions by counting the number of pairs of elements that are in the wrong order within each cycle and adding them up. For example, the cycle (a1a2) has one inversion, since a1 < a2 but a1 appears after a2 in the cycle. The cycle (a3a4) also has one inversion, as does the cycle (a5a6) and the cycle (a7a8). So the total number of inversions is 4. This means that the element is odd, and therefore not in A8.

We can also see this by noting that the permutation (a1a2)(a3a4)(a5a6)(a7a8) can be written as (a1a2a3a4)(a5a6a7a8), which is a product of two disjoint 4-cycles. Since A8 is generated by 3-cycles, this permutation is not in A8.

In summary, there are 2520 possible cycle structures for an element of order 2 in A8 with the cycle structure (a1a2)(a3a4)(a5a6)(a7a8), but none of them are in A8.

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Answer:

  x = 5.4

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:

  Cos = Adjacent/Hypotenuse

  cos(19°) = 5.1/x

  x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)

  x ≈ 5.4

Answer:

It seems right to me maybe sign change?

Answer: r=6

Step-by-step explanation:

-8(4-r) =16

-32 +8r =16

8r = 16+32

8r =48

r= 48/8

r=6

Answer:

c. 51,400

Step-by-step explanation:

25 x 2,000=50,000

2,000 x .7= 1,400

50,000+1,400=51,400

Answer:

c

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

I just took the test

The greatest common factor of 8x and 40y is: 8.

Greatest common factor (HCF) is the largest positive integer that can divide a set of whole numbers evenly. In order words, all the numbers in a set share the same factor, which is the HCF.

Given:

8x and 40y

Both share a factor of 8.

Therefore, the greatest common factor of 8x and 40y is: 8.

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Je suis désolée, mais je ne suis pas sûr de comprendre exactement votre question. Les termes que vous avez inclus semblent être une formule mathématique en français, qui peut être traduite en anglais comme "subtract from the result the square of the number I am thinking of".

Pouvez-vous s'il vous plaît me donner plus de contexte sur ce que vous voulez dire ou m'expliquer comment je peux vous aider?

Je suis là pour vous aider. Pour répondre à votre question, considérez les termes suivants : soustrait, résultat, carré et nombre.

Si vous pensez à un nombre spécifique (appelons-le "n"), vous devez d'abord calculer le carré de ce nombre (n^2). Ensuite, soustrayez ce carré (n^2) du résultat donné pour obtenir la réponse finale.

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She can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter

In the given question, Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter.

We have to find how many pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter.

The radius of a ball of yarn six inches in diameter is

r = 6/2 = 3 inches

The radius of a ball of yarn twelve inches in diameter is

r = 12/2 = 6 inches

Now, the volume of the six inches yarn = \(\frac{4}{3} \pi r^3\)

The volume of the six inches yarn = \(\frac{4}{3} \pi (3)^3\)

The volume of the six inches yarn = 36π

Now, the volume of the twelve inches yarn = \(\frac{4}{3} \pi r^3\)

The volume of the twelve inches yarn = \(\frac{4}{3} \pi (6)^3\)

The volume of the twelve inches yarn = 288π

Now we finding the numbers of pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter

= 288π/36π

= 8

Hence, she can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter.

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Q.21:

We are asked what f(3) = 32 means?

In Q.20, we are given the following function

Where f(x) is the height (in feet) of the apple and x is the time in seconds.

If we substittute x = 3 seconds into the function, we get the corresponding height of the apple.

As you can see, the height of the apple is 32 feet at 3 seconds.

Therefore, the correct answer is the option (B)

The height of the apple at 3 seconds is 32 feet.

The equation given is;\(x = ct^5 - bt^7\)Where \(c = 2.6 m/s^5\) and \(b = 1.1 m/s^7\)(a) Displacement is obtained by finding the difference between the initial and final position of the particle.

\(i.e At , the particle is at a distance ofDisplacement = Displacement = = - 1.57 m(b) When t = 1.0 s,\)

the velocity of the particle can be found by taking the derivative of the displacement with respect to time;i.e \(v = \frac{dx}{dt}\)\(x = ct^5 - bt^7\)\(\frac{dx}{dt} = 5ct^4 - 7bt^6\)At \(t = 1.0 s\), \(v = 5*2.6(1.0)^4 - 7*1.

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Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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Answer:

9;7

Step-by-step explanation:

Answer:

RS

Step-by-step explanation:

RS is the corresponding side to AB

Answer:

RS

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

  x = 1/2

Step-by-step explanation:

You want to know the x-intercept of the graph of y = -2x +1.

The x-axis corresponds to a y-value of 0. The graph of any relation will intersect the x-axis where the output value is 0. We can find those points by solving the relation after setting y=0.

  y = -2x +1 . . . . . . . given relation

  0 = -2x +1 . . . . . . . equation with y=0

  2x = 1 . . . . . . . . . . . add 2x

  x = 1/2 . . . . . . . . . . . divide by 2

The graph intersects the x-axis where x = 1/2.

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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The solution is x > 0

1 is a particular solution

Given the inequality:

5x - (x + 2) > -5(1 + x) + 3

This becomes

5x - x - 2 > -5 - 5x + 3

4x - 2 > -5x - 2

4x + 5x > -2 + 2

9x > 0

x > 0

All numbers greater than 0 are solutions

1, for instance, is a solution because it satisfies the inequality

The  Euclidean inner product i.e., prove = (4, -4, 0) and projuv = (1.143, -0.686, 0.229)

To find proven, we need to first calculate the projection of u onto v using the Euclidean inner product:
projv(u) = ((u ⋅ v) / (v ⋅ v)) * v
where ⋅ represents the dot product.

Therefore, we have:
u ⋅ v = (5 * 1) + (-3 * -1) + (1 * 0) = 8
v ⋅ v = (1 * 1) + (-1 * -1) + (0 * 0) = 2
So, projv(u) = ((8 / 2) * (1, -1, 0)) = (4, -4, 0)

To find a project, we need to first calculate the projection of v onto u using the Euclidean inner product:
proju(v) = ((v ⋅ u) / (u ⋅ u)) * u

Therefore, we have:
v ⋅ u = (1 * 5) + (-1 * -3) + (0 * 1) = 8
u ⋅ u = (5 * 5) + (-3 * -3) + (1 * 1) = 35
So, proju(v) = ((8 / 35) * (5, -3, 1)) = (1.143, -0.686, 0.229)
Thus, prove = (4, -4, 0) and projuv = (1.143, -0.686, 0.229)

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Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=4, -8

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

Answer:4t-5

Step-by-step explanation:

8t + 1 + (-4t) + (-6)

8t+1-4t-6

8t-4t+1-6

4t-5

           -  - - - -- - - - - - -  - - -- - - - - - - - - - - - - - -- - - - - - - - - -- - - - -  

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Combine like terms to create an equivalent expression:-

8t+1+(-4t)+(-6)

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, +(-4t) is the same as -4t:-

8t+1-4t+(-6)

Same with +(-6):-

8t+1-4t-6

Subtract the t's:-

4t+1-6

And finally,

4t-5

                     - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - -

Answer:

-2/1

Step-by-step explanation: