Given: 2x^2+X-3 and g(X)=x-1
Express f(X)•g(X)-[f(X)+g(X)]

 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

Answer:

A

Step-by-step explanation:

Answer:

2nd

Step-by-step explanatiogjhkghjkgjhn:gyj

no idea how to expain

Answer:

B.14

Step-by-step explanation:

Goodluck guys sa sagot

Answer:

450m

Step-by-step explanation:

Answer:

Step-by-step explain

∛12↔3³≈4x↑

Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

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In order to determine how much of the pizza have left in the box, proceed as follow:

Multiply 2/3 by 2/5:

It means that you sent 4/15 of the pizza you intially have.

Now, subtract 4/15 to 2/5 to determine the pizza left in the box:

Hence, the pizza in the box is 2/15 of the pizza of the party

The difference quotient evaluated in x = 2 gives:

[ f(2 + h) - f(2)]/h = h + 9

So the last option is the correct one.

Here we know the function:

f(x) = x^2 + 5x + 6

And we want to find the difference quotient:

[ f(2 + h) - f(2)]/h

Let's evaluate the function:

f(2 + h) = (2 + h)^2 + 5*(2 + h) + 6

            = 2^2 + h^2 + 4h + 10 + 5h + 6

            = h^2 + 9h + 20

f(2) = 2^2 + 5*2 + 6

f(2) = 4 + 10 +  6 = 20

Then we have:

[ f(2 + h) - f(2)]/h

[h^2 + 9h + 20 - 20]/h

[h^2 + 9h ]/h

Taking the quotient we get:

[h^2 + 9h ]/h = h + 9

So the correct option is the last one.

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Answer:

B

hope this helps :D

Answer:

Option B: 15 inches

Step-by-step explanation:

p=2w+2l so 12 (2*6) +2x= 42

42-12=30

30/2=15

Answer:

n = 49

Step-by-step explanation:

49 has a factor of -7 which can also add up to -14

Eg : -7(-7) = 49, -7 + (-7) = -14

49

x²-14x+49=(x-7)²

An algebraic expression that is created by squaring a binomial expression is known as a perfect square trinomial.

It is of the form (ax2 + bx + c).

Real numbers a, b, and c are present here, and a ≠0.

The given equation is x2 + 14x + c

To find the value of c

We can take half of the linear coefficient and square it

14/2 = 7

72 = 49

Therefore, the value of c is 49.

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Statement "a is a nonnegative real number and n is a positive integer" is true.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Given that, a is a nonnegative real number and n is a positive integer.

\(a^{\frac{1}{n} }=\sqrt[n]{a}\)

Notice that in both cases when we elevated to the n-th power, we got the same thing, then these are equivalent, then:

\((a^{\frac{1}{n} })^n=a\)

Therefore, the given statement is true.

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Answer: Answer is actually A) 27

Step-by-step explanation: :)

Answer:

\( \huge \boxed{ \boxed{ \sf x + 52 ^{o} + 7 {2}^{o} =18 {0}^{o} }}\)

Step-by-step explanation:

\(\text{since a triangle contains 180° the sum of the interior angles has to be 180°}\)

\(\text{therefore the equation is}\)

\( \mathfrak{x + {52}^{o} + {78}^{o} = 180 ^{0} }\)

Answer:

294 yards squared

Step-by-step explanation:

7*7*6= 294

Answer:

294

Step-by-step explanation:

\(SA = s^2 * 6 = 7^2 * 6 = 49 * 6 = 294\)

Answer: 100.53cm^2

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 100.48\ cm\²}\)

Step-by-step explanation:

Height = h = 4 cm

Radius = r = 4 cm

π = 3.14

= 2πrh

= 2(3.14)(4)(4)

\(\rule[225]{225}{2}\)

The plot of ∣Ψ(x,0)∣² as a function of δx demonstrates that the Uncertainty Principle holds when the σs are reasonably defined widths.

In quantum mechanics, the Uncertainty Principle states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. The uncertainty in position and momentum is often quantified using the standard deviation, but in this case, the usual standard deviation cannot be calculated.

However, we can still analyze the uncertainty using the wavefunction ϕ(kx), which describes the momentum space distribution of the particle. The wavefunction Ψ(x, 0) is obtained by performing a Fourier transform on ϕ(kx) to obtain the position space representation. The square of the absolute value of Ψ(x, 0), denoted as ∣Ψ(x, 0)∣², gives the probability density of finding the particle at a particular position.

By varying the width parameter δx, which controls the extent of the momentum distribution, we can examine the behavior of ∣Ψ(x, 0)∣². As δx increases, the wavefunction becomes more spread out in position space, indicating a larger uncertainty in position. Conversely, as δx decreases, the wavefunction becomes more localized, implying a smaller uncertainty in position.

The plot of ∣Ψ(x, 0)∣² as a function of δx confirms this behavior. It demonstrates that as the uncertainty in position decreases (smaller δx), the uncertainty in momentum increases (larger spread in momentum space). This observation aligns with the principles of the Uncertainty Principle, which states that precise knowledge of one observable (position) leads to greater uncertainty in the conjugate observable (momentum).

In conclusion, the plot of ∣Ψ(x, 0)∣² as a function of δx supports the validity of the Uncertainty Principle, showcasing the trade-off between position and momentum uncertainties. The behavior of the wavefunction's spread in position space and its corresponding momentum distribution aligns with the fundamental principle of quantum mechanics.

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Given that James saw exactly one of these types of animal, the probability that he saw a crocodile is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probability of seeing exactly one type of animal is given as follows:

2/5 x 1/6 + 3/5 x 2/9 = 1/15 + 6/45 = 3/45 + 6/45 = 9/45.

The probability of seeing exactly one type of animal and being a crocodile is given as follows:

2/5 x 1/6 = 1/15 = 3/45.

Hence the conditional probability is given as follow:

(3/45)/(9/45) = 3/9 = 1/3.

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Answer;

Reject the null hypothesis

Explanation;

Here, we are having a situation in which the level of significance is less than the p-value

In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis

Hence, simply put, we are going to reject the nulll hypothesis

If we want to increase  the width of a confidence interval , we need to increase the confidence interval which will increase our z value

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

E=zs√n. The margin of error is represented by the quantity E. The margin of error is equal to the confidence interval's width divided by two. Occasionally, confidence intervals are expressed as x±E, for instance, 9.95±0.43.

Thus if we want to increase  the width of a confidence interval , we need to increase the confidence interval which will increase our z value

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Students no longer have to visit a physical store to buy course books because most course books can now be obtained online.

What should you try first if an online course is having technical issues?

What drawbacks exist with online learning?

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Answer:

5.6km

Step-by-step explanation:

1km = 1000 meters

5,600 meters = 5.6km

5600 divided by 1000 = 5.6km

So, Chen walked 5.6km today.

The value of x that is a solution to the equation 2x^2 + 7x - 30 is x = -2.5 To find the solution to the equation 2x^2 + 7x - 30, we can set the equation equal to zero and solve for x. The equation becomes:

2x^2 + 7x - 30 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Let's factor it:

\((2x - 3)(x + 10) = 0\)

Setting each factor equal to zero:

\(2x - 3 = 0 or x + 10 = 0\)

Solving for x in each equation:

\(2x = 3 or x = -10\\x = 3/2 or x = -10\)

So, we have two possible solutions: x = 3/2 (or x = 1.5) and x = -10. However, when we look at the given options, we find that none of them match x = 3/2. Therefore, it is not a solution to the equation. The only option that matches one of the solutions we found is x = -2.5. Plugging this value back into the original equation: 2(-2.5)^2 + 7(-2.5) - 30 = 0

Simplifying

\(2(6.25) - 17.5 - 30 = 0\\12.5 - 17.5 - 30 = 0\\-5 - 30 = 0\\-35 = 0\)

Since -35 does not equal zero, the equation is not true. This confirms that x = -2.5 is indeed a solution to the equation 2x^2 + 7x - 30 = 0. Therefore, the correct value of x that is a solution to the equation is x = -2.5.

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Answer:

Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.

Step-by-step explanation:

Hope that helps!

Answer:

Let N equal the number of angles in the polygon

Use the formula:

(N x 180)-360 = the sum of all the angles in the polygon

A triangle has 3 angles so:

(3 x 180)-360=180 degrees

(this formula works for any polygon, regardless of the number of it's angles)

Answer:

Step-by-step explanation:

Locate the designated space on the diagram and list all the numbers in it.

a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle

__

b. A ∩ B = {2, 3} . . . . where the circles overlap

__

c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles

Answer:

the answer is B

Step-by-step explanation:

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