Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply. Which expression is equivalent to 2(a+2b)-a-2b

1)The net change in the value of the function f(x) = 6x - 5 between the given inputs 1 and 6 is 30.

2)The net change in the value of the function g(t) = 1 - t² between the given inputs -4 and 9 is -65.

1. To find the net change in the value of the function f(x) = 6x - 5 between the given inputs 1 and 6:

Follow these steps:

Step 1: Calculate f(1)
f(1) = 6(1) - 5 = 6 - 5 = 1

Step 2: Calculate f(6)
f(6) = 6(6) - 5 = 36 - 5 = 31

Step 3: Find the net change
Net change = f(6) - f(1) = 31 - 1 = 30

The net change in the value of the function f(x) = 6x - 5 between the given inputs 1 and 6 is 30.

2. To find the net change in the value of the function g(t) = 1 - t² between the given inputs -4 and 9:

Follow these steps:

Step 1: Calculate g(-4)
g(-4) = 1 - (-4)² = 1 - 16 = -15

Step 2: Calculate g(9)
g(9) = 1 - 9² = 1 - 81 = -80

Step 3: Find the net change
Net change = g(9) - g(-4) = -80 - (-15) = -80 + 15 = -65

The net change in the value of the function g(t) = 1 - t² between the given inputs -4 and 9 is -65.

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The nth term of the sequence can be expressed as: \(1 / (n^2)\)

The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...

To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...

Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...

The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)

Therefore, the nth term of the sequence can be expressed as:

\(1 / (n^2)\)

So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.

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Answer:

The answer to your question is 07 cups

Step-by-step explanation:

1 ounce to cups = 0.125

56oz x 0.125 = 7

I hope this helps and have a wonderful day!

Answer

2/3, 7/10, 11/15

Step-by-step explanation:

Answer: Pay less sells the lowest price per marker.

Step-by-step explanation:

To get to one marker divide 10 by 10 and do same to other side. EX. 10/10=1, 2.50/10=0.25

To get to one marker divide 20 by 20 and do same to other side. EX. 20/20=1, 4.00/20= 0.2

Answer:

red counters=3

yellow counters=5

3+5=8

r•c=8-7=1

y.c=8-8=0

Answer:

C

Step-by-step explanation:

this is an arithmetic sequence (we add something from element to element).

"an" describes the salary during the nth year.

a1 = $3000

a2 = a1 + 600

a3 = a2 + 600 = a1 + 600 + 600 = a1 + (3-1)×600

an = a1 + (n-1)×600 = 3000 + (n-1)×600

so,

a15 = 3000 + (15-1)×600 = 3000 + 14×600 = $11400

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

Amount of sugar used - 76.8 kg

No. Of Days in Month of April - 30 days

∴ Sugar used each day is = 76.8 ÷ 30

\(76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg\)

The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle.

The orthocenter is the intersection of the three altitudes of the triangle. It is a point on the plane of the triangle that is equidistant from the three sides of the triangle.

To find the orthocenter of a triangle, you can draw the altitudes of the triangle and find the point where they intersect. The orthocenter is the point of concurrency for the three altitudes.

An orthocenter of a triangle is a point where the three lines that are perpendicular to the sides of the triangle intersect. These lines are called altitudes of the triangle.

Alternatively, you can use the following formula to find the coordinates of the orthocenter:

Let's say that the vertices of the triangle are A(x1, y1), B(x2, y2), and C(x3, y3). The coordinates of the orthocenter (H) can be found using the following formula:

Hx = ( (y1 - y3) (x1^2 + y1^2 - x3^2 - y3^2) - (y1 - y2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (y1 - y3) - 2 * (y1 - y2))

Hy = ( (x1 - x3) (x1^2 + y1^2 - x3^2 - y3^2) - (x1 - x2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (x1 - x3) - 2 * (x1 - x2))

Therefore, The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle

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Figure ABCD was reflected over the x axis and then translated 6 units left to form figure EFGH

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Figure ABCD was reflected over the x axis and then translated 6 units left to form figure EFGH

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Answer:

D

Step-by-step explanation:

60 x 1.6 = 96 kilometers

Answer:

一30 + (-2)=

What is the answer

Step-by-step explanation:

一30 + (-2)= -32

Answer:

Step-by-step explanation:            

let angles be 3x, 5x, 10x

3x+5x+10x=180(angle sum property)

18x=180

x=180/18

x=10

therefore, angles are 3*10=30

5*10=50

10*10=100..

Yes the statement that is assume that an is a symmetric matrix. If v and u are eigenvectors of the same matrix with eigenvalues of 3 and 10, respectively, then u must be orthogonal to v is true.

A scalar matrix is ​​a type of diagonal matrix. Diagonal elements of a scalar matrix are equal or equal. If the elements of a scalar matrix are all ones, then it is an identity matrix.

A square matrix A = [aij]n x n is called a scalar matrix.

aij = 0 if i ≠ j

aij = k (for i = j), for some constant k

Facts about scalar matrix :

Eigenvectors are a special set of vectors associated with a linear system of equations

If suppose u is an eigenvector of a corresponding to eigenvalue 3, v is an eigenvector of a corresponding to eigenvalue 10, then u must be orthogonal to v .

u.v=0.

So therefore the statement is true for the given data.

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The Answer is D

When you divide a negative by a positive the answer will be negative

When you divide negative by negative the answer will be positive

Answer:

in step 3, 6 shoupd be substituted for x not for y

and

y= -9

Answer:

Step-by-step explanation:

um

its still 2:6:7?

please elaborate I don't get the question

Answer:

its 2:1

Step-by-step explanation:

Answer:

C. -336

Step-by-step explanation:

1. Substitute 25 for x as g(25) simply means x = 25

2. Now that the equation is g(x) = 24(25 - 39), solve what's within the parenthesis first due to PEMDAS or subtract 25 - 39.

3. Now that the equation is g(x) = 24(-14) due to subtracting 25 and 39, multiply 24 by -14 since there is no sign. And a parenthesis with a number in it besides a number with no parenthesis signifies multiplication.

4. Now the answer found is -336.

Answer:

Step-by-step explanation:

  \(\sqrt{-90} = \sqrt{i^2\cdot 3^2\cdot 10}=3i\sqrt{10}\)

Comparing this to your form, we see that ...

  A = 3

  B = 10

we have shown mathematically that for any nonnegative values t1 and t2, P(X > t1 + t2 | X > t1) = P(X > t2), which demonstrates the "lack of memory" property of the exponential distribution.

To prove the "lack of memory" property of the exponential distribution, we need to show that for any nonnegative values t1 and t2, the following expression is true:

P(X > t1 + t2 | X > t1) = P(X > t2)

Let's start by using the definition of conditional probability:

P(A | B) = P(A ∩ B) / P(B)

In this case, we have A: X > t1 + t2 and B: X > t1. We want to find P(A | B), which is the probability that X is greater than t1 + t2 given that it is greater than t1.

We can rewrite the conditional probability as:

P(X > t1 + t2 | X > t1) = P(X > t1 + t2 and X > t1) / P(X > t1)

Since X is a continuous random variable, we can express these probabilities using the cumulative distribution function (CDF) of the exponential distribution.

P(X > t1 + t2 | X > t1) = [1 - F(t1 + t2)] / [1 - F(t1)]

where F(t) is the CDF of the exponential distribution with parameter λ.

The CDF of the exponential distribution is given by:

F(t) = 1 - e^(-λt)

Substituting this into the equation, we have:

P(X > t1 + t2 | X > t1) = [1 - (1 - e^(-λ(t1 + t2)))] / [1 - (1 - e^(-λt1))]

Simplifying, we get:

P(X > t1 + t2 | X > t1) = e^(-λ(t1 + t2)) / e^(-λt1)

Using the properties of exponents, we can rewrite this as:

P(X > t1 + t2 | X > t1) = e^(-λt2)

which is equivalent to:

P(X > t2)

Practical interpretation:

The "lack of memory" property of the exponential distribution means that the distribution does not remember its past. In practical terms, it implies that the probability of an event occurring after a certain amount of time does not depend on how much time has already passed. For example, if X represents the time until a light bulb fails, and X follows an exponential distribution, then the probability that the light bulb will fail in the next hour is the same regardless of how long the light bulb has already been in use.

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The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.

The function is an increasing function. The graph that represents the table will be A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The table is given below.

Week     Number of sales

  1                    84

 2                   102

 3                   158

 4                   271

The slope at different will be given as,

m₁ = (102 - 84) / (2 - 1)

m₁ = 18

m₂ = (158 - 102) / (3 - 2)

m₂ = 56

m₃ = (271 - 158) / (4 - 1)

m₃ = 113

The capability is a rising capability. The diagram that addresses the table will be A.

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Answer:

32

Step-by-step explanation:

ik

Answer:

L=22

Step-by-step explanation:

158+l=180

180-158=22

l=22

The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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Answer:

has five interior angles

a square is a quadrant meaning it has four interior angles