In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?

Answer:

Step-by-step explanation:

Answer: \(\frac{5}{11}\)

Step-by-step explanation:

Given

Kira order 2 pieces of tuna and 5 pieces of crab

While Marcy ordered 3 pieces of tuna and 6 pieces of crab

Total tuna ordered =2+3=5 pieces

Total crab ordered=5+6=11 pieces

The ratio of Tuna and crab is   \(\frac{2+3}{5+6}=\frac{5}{11}\)

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

155

Step-by-step explanation:

there is 31 numbers in between both 124 and 186

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Answer:

y = \(\frac{-1}{2}x^{2}\) + 4x + 0

Step-by-step explanation:

y = -1/2x(x-8)  (distributive property of equality)

y = -1/2x^2 + 4x + 0

Vertex form : y = ax2 + bx + c

There is no C so you can also represent that by putting a zero so,

y = -1/2x^2 +4x + 0,

Which is the same as,

y = \(\frac{-1}{2}x^{2}\) + 4x + 0

exept

less confusing lol.

Ace Carlos

The mileage from Joey's home directly to the library is 5 miles. Therefore, the direct path is quicker.

To find out the mileage from his home directly to the library, we will apply the Pythagorean theorem and we need a According to the problem, Joey is 4 miles north and 3 miles west of the library. The distance he travels on his bike to reach the library is 7 miles.

The quickest way to the library is a direct path. However, his mom said he can only travel on the roads. We can draw a diagram to visualize the situation.Now, we need to find the distance from Joey's home to the library directly.

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Answer:

2

Step-by-step explanation:

Answer:

x = - 1, x = 2

Step-by-step explanation:

Given

x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then

x + x + 1 + x + 2 = x² + 2x + 1 , that is

3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2

Answer:

a=3, b=12, c=13

Step-by-step explanation:

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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Answer:

Add and subtract the second term to the expression and factor by grouping.

2

x

3

(

3

x

−

1

)

(

x

−

1

)

Step-by-step explanation:

Answer:

3x⁴+2x²+8

Step-by-step explanation:

\(6 {x}^{5} + 4 {x}^{3} + 8x\)

\( = 2x(3 {x}^{4} + 2 {x}^{2} + 8)\)

Answer:

i used to have a problem with this

Step-by-step explanation:

The truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

The statement q(x) is x² = 2x. Now, we will check the truth value of each statement in terms of q(x):

(i) q(0): \(0^2=2\times 0\)

   q(0): 0 = 0; so, the statement q(0) is true.

(ii) q(1): \(1^2=2\times 1\)

    q(1): 1 = 2; so, the statement q(1) is false.

(iii) q(-2): \((-2)^2=2\times (-2)\)

     q(-2): 4 = -4; so, the statement q(-2) is false.

(iv) q(2): \(2^2=2\times 2\)

     q(2): 4 = 4; so, the statement q(2) is true.

So, the truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

y = x - 2

Step-by-step explanation:

points: (3, 1) and (0, -2)

slope = m = (-2 - 1)/(0 - 3) = 1

y-intercept = b = -2

y = x - 2

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

Answer:

a.) 26< a 28  

b.) 4

Step-by-step explanation:

a.) After looking at the age in years collum you can notice that all of ages have a difference of 2. With this you can infer that the missing number is 28.

b.) To find the mean add up all the numbers in the frequency column.

3+2+7+8+0=20

Divide that by the amount of numbers. There are 5 numbers so 20/5=4.

Hope this helps!

Answer:

In a parallelogram:

Opposite sides are parallel.

Opposite sides and opposite angles are congruent.

Consecutive angles are supplementary.

Answer:

n = -7

Step-by-step explanation:

Solve for n:

-3 n - 5 = 16

Hint: | Isolate terms with n to the left-hand side.

Add 5 to both sides:

(5 - 5) - 3 n = 5 + 16

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

-3 n = 16 + 5

Hint: | Evaluate 16 + 5.

16 + 5 = 21:

-3 n = 21

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 21 by -3:

(-3 n)/(-3) = 21/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 21/(-3)

Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.

The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):

n = 7/(-1)

Hint: | Simplify the sign of 7/(-1).

Multiply numerator and denominator of 7/(-1) by -1:

Answer: n = -7

Answer:

n = -7

Step-by-step explanation:

I hope this helps!

54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

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Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

\(x= \frac{-1}{3}\) or \(x= -1\)

Step-by-step explanation:

Step 1: Subtract 1 from both sides. 3x2+4x+1−1=0−1 3x2+4x=−1

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3. 3x2+4x 3 = −1/3 x2+ 4/3 x= −1/3

Step 3: The coefficient of 4/3x is 4/3. Let b=4/3. Then we need to add (b/2)^2=4/9 to both sides to complete the square.

Add 4/9 to both sides. x^2+ 4/3 x+ 4/9 = −1/3 + 4/9 x^2+ 4/3 x+ 4/9 = 1/9

Step 4: Factor left side. (x+ 2/3 )^2= 1/9

Step 5: Take square root. x+ 2/3 =±√ 1/9 Step 6: Add (-2)/3 to both sides. x+ 2/3 + −2/3 = −2/3 ±√ 1/9 x= −2/3 ±√ 1/9 x= −1/3 or x=−1

A moment generating function (MGF) is a mathematical function used to describe the probability distribution of a random variable. It is defined as the expected value of the exponential function of the random variable. The MGF allows us to calculate various moments of the distribution, such as the mean, variance, and higher-order moments.

The MGF is a powerful tool in probability theory and statistics, as it enables us to determine the shape and properties of a distribution without explicitly knowing its probability density function. It is especially useful in complex applications such as actuarial science, finance, and engineering.

The MGF has several properties, including uniqueness, which means that if two random variables have the same MGF, they have the same distribution. Additionally, the MGF can be used to determine the sum of independent random variables, and can be transformed to produce other useful functions, such as the characteristic function.

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Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

The effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form. A parabola is a U-shaped curve that represents the quadratic function on a graph.

The given parabola is,

y = 6x²

Here consider x=t

Then,

y=6t²(0≤t≤z)

The work done by F(x, y) would be:

W=\(\int\limits^_c\)F.dr

=\(\int\limits^_c\)(\(y_{i} +x_{j}\))(d\(x_{i}\)+d\(y_{j}\))

=\(\int\limits^_c\)y dx + x dy

=\(\int\limits^2_0\)((6t²)(1)+(t)(12t))dt

=\(\int\limits^2_0\)18t²dt

=48

Therefore, the effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

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Answer:

4/3

hope this helped :)