true or false? y=x^2 - 1 defines y as a function of x

Answer:

Step-by-step explanation:

To solve this problem, we are going to apply the pigeon hole principle, which is as follows:

If m pigeons occupy n pigeon holes and m>n, then there must be at least one pigeonhole that holds more than one pigeon.

To apply this principle, we'll work the problem out to have a pigeon-pigenhole set up.

Consider the set \(\{1,\dots, 25\}\). We want to define the posible values of SB for any B that is a subset of A. The lowest value of Sb would be considering B = \(\{1,2,3,4,5\}\). In this case, the sum is 15. The highest value of SB would be when we consider the set B = \(\{21,22,23,24,25\}\). In this case SB = 115. So now, consider A as stated and B any subset of A that has 5 elements. Since A has 9 elements and B has 5, we have \(\binom{9}{5} = \frac{9!}{4!5!}=126\) different sets of 5 elements. Also, we have that

\( 15\leq S_b \leq 115\).

Note that given a B, SB is necessarily an integer between 15 and 115, and that given a B, we can assign its sum SB directly by summing up. Consider the different values of SB as pigeonholes and each 5-elements set as pigeons. We have in total 101 possible values (115-15 +1 = 101). Since each set B has a SB, then we are in the case in which we have more pigeons than pigeonholes, so it must happen that there is at least one pigeon hole (value of SB) that has more than one pigeon.

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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20inches=too 6.6 inches per side bc there are 3 sides

:) good luck!

Step-by-step explanation:

|2x + 4| <= 5

We have -5 <= 2x + 4 <= 5.

Therefore -9 <= 2x <= 1 and -4.5 <= x <= 0.5.

Answer:

1/2

Step-by-step explanation:

I did this on paper and I have no idea how to explain.

But I think it is 1/2

Hope this helps!

Answer:

The answer is 1/2

Step-by-step explanation: 2/3 divided by 4/5 is 5/6 and that times 3/5 is 1/2

Answer:

Step-by-step explanation:

The answer is not 855.3^2cm

Answer:

a=6

Step-by-step explanation:

to find the value of a you need to simplify the equation first. so...

3(a+3)-6=21 (you remove the bracket first)

3a+9-6=21

3a+3=21 (you collect the like terms then)

3a=21-3

3a=18 (then you both divide both sides by 3 to find the value of a)

a=18/3

a=6

to check your answer substitute 3 instead of a

3(a+3)-6=21

3(6+3)-6=21

3(9)-6=21 (according to BODMAS since multiplication comes first you multiply 3 with 9 before subtracting it from 6.)

29-6=21

21=21

Answer:6

Step-by-step explanation:

3(a + 3) - 6 = 21

3(a + 3) = 21 + 6

3(a + 3) =27

a + 3. = 27 ÷ 3

a + 3. = 9

a. = 9 - 3

a. = 6

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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Answer:

E(5X) = 10

Step-by-step explanation:

The expected value of a random variable X is denoted as; E(X)

Now we are told it's equal to 2.

Thus;

E(X) = 2

Now, we want to find the expected value of 5X

We will use the principle from expected value derivations below;

E(cX + d) = cE(X) + d

Also;

If E(X) = z

Then;

E(aX) will give; aE(X) = az

From our question, we have;

E(X) = 2

Thus;

E(5X) = 5E(X) = 5 × 2 = 10

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

Step-by-step explanation:

Given that :

The mean value \(\mu\) = 12

The standard deviation \(\sigma\) = 3.5

Let Consider Q to be the weight of the parcel that is normally distributed .

Then;

Q \(\sim\) Norm(12,3.5)

The objective is to determine thewight  value of c under which there is a surcharge

Also, let's not that 99% of all the parcels are below the surcharge

However ;

From the Percentiles table of Standard Normal Distribution;

At 99th percentile; the value for Z = 2.33

The formula for the Z-score is:

\(Z = \dfrac{X- \mu}{\sigma}\)

\(2.33 = \dfrac{X - 12}{3.5}\)

2.33 × 3.5 = X - 12

8.155 = X - 12

- X = - 12 - 8.155

- X = -20.155

 X = 20.155

the weight  value of c under which there is a surcharge = X + 1 (0) since all the  pounds are below the surcharge

c = 20.155 + 1(0)

c = 20.155

Thus ; the value of c is  20.155 such that 99% of all parcels are under the surcharge weight.

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:- 8

Step-by-step explanation:

-4 + 4(3)/ -4+3

-4 +12 / -1

8/-1

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

Step-by-step explanation:

2|x-1|+5 < 13

2|x-1| < 8

|x-1| < 4

-4 < x-1 < 4

-3 < x < 5

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

9514 1404 393

Answer:

  B) 1.25P

Step-by-step explanation:

The perimeter of the square is P, so each side is 0.25P. That means the rectangle had sides of 2(0.25P) and 1/2(0.25P) = 0.5P and 0.125P.

The rectangle's perimeter is ...

  perimeter = 2(L+W) = 2(0.5P +0.125P) = 2(0.625P)

  perimeter = 1.25P . . . . matches choice B

The Rational Roots Theorem indicates that the set of possible rational roots for the polynomial x³ + 5·x² - 8·x - 20 = 0, is the option C

C. ±1, ±2, ±4, ±5, ±10, ±20

The Rational Roots Theorem states that if p/q is a rational root of a polynomial with integer coefficients, where p and q have only 1 as their common factor, then p must be a factor of the constant term and q must be a factor of the leading coefficient.

The Rational Root Theorem indicates that where the number p/q is a rational root of the polynomial, then p is a factor of the constant term -20, and q is a factor of leading coefficient 1

The factors of -20 are; ±1, ±2, ±4, ±5, ±10 and ±20

The factors of 1 is; 1

Therefore the possible values of p/q are; ±1, ±2, ±4, ±5, ±10 and ±20

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Answer: the answer is 15

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

reeeeeee

Step-by-step explanation:

ask someone else

The cost of the two plans is same after 6 GB of data use.

Both the plan cost the same for 6 GB of data use. So, you can use any one of the two data plans.

Plan B is cheaper in the long run.

A) Carrier A

For \(3\) GB, cost \(=\) $\(35\)

For \(4\) GB, cost \(=\) $\(35+\)$\(8=\)$\(43\)

For \(5\) GB, cost \(=\) $\(43+\)$\(8=\)$\(51\)

For \(6\) GB, cost \(=\) $\(51+\)$\(8=\)$\(59\)

For \(7\) GB, cost \(=\) $\(59+\)$\(8=\)$\(67\)

For \(8\) GB, cost \(=\) $\(67+\)$\(8=\)$\(75\)

Carrier B

For \(5\) GB, cost \(=\) $\(55\)

For \(6\) GB, cost \(=\) $\(55+\)$\(4=\)$\(59\)

For \(7\) GB, cost \(=\) $\(59+\)$\(4=\)$\(63\)

For \(8\) GB, cost \(=\) $\(63+\)$\(4=\)$\(67\)

So, the cost of the two plans is same after \(6\) GB of data use.

B) Here, both the plan cost the same for 6 GB of data use. So, you can use any one of the two data plans.

C) Clearly plan B is cheaper in the long run.

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Use the Binomial Theorem to expand.

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

wheres tha rectangle

Step-by-step explanation: