Find the domain. Y= 1-7x / 8-|3x-15|

Answer:

what lesson in math is this??

Answer:

the correct answer is y=-3x+8

Answer: A>7

Step-by-step explanation:

Step-by-step explanation:

111×111= 12321

222×222=49284

111 x 111 = 12321

222 x 222 = 49284

Hope this helps :))

By using the partial sum of series is

\(a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}\)

and summation n=1 to infinity of \(a_{n}\) is =6 .

To obtain the formula for the nth term of the series and its total, we must first discover the formula for the series' general term.

The formula for the series' nth partial sum is as follows:

\(sn = 6 - n*5^{-n}\)

The nth term of the series can be obtained by subtracting the (n+1)th and nth partial sums, i.e.,

a = sn+1 - sn

When we substitute the formula for sn, we get:

\(a_{n} = [6 - (n+1)5^{(-(n+1))} ] - [6 - n5^{(-n)} ]\\a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}\)

As a result, the formula for the series' nth term is:

\(a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}\)

To calculate the series total, take the limit of the nth partial sum as n approaches infinity:

lim(n->inf) lim(n->inf) sn [6 - n*5^(-n)]

lim(n->inf) [n*5(-n)] = 6

= 6 - 0

= 6

As a result, the series' sum is 6.

As a result, the formula for the nth term in the series is:

\(a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}\)

And the series' total is:

a = sum(n=1 to inf) = 6

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Answer:

???

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

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

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

The range is (D) or '12'

Step-by-step explanation:

The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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Answer: (x-4) is not a factor of the given polynomial.

===================================================

Explanation:

Rule: If (x-k) is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem. We can take this in reverse to say that if p(k) = 0, then (x-k) must be a factor of p(x).

In this case, we have k = 4 and we can find that:

p(x) = 2x^4-9x^3-20x^2+147x-180

p(4) = 2(4)^4-9(4)^3-20(4)^2+147(4)-180

p(4) = 24

The result we get is not zero, so that means (x-4) is not a factor of p(x).

The probability that a randomly chosen voter is a woman, given that the voter supports the president is P(W|S). thus P(W|S) is the answer.

Probability: Probability is the study of random events and the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1.

Given that:

S be the event that a randomly chosen voter supports the president.

w be the event that a randomly chosen voter is a woman.

the probability that a randomly chosen voter is a woman, given that the voter supports the president is P(W|S)

P(W|S)=P(W ∩ S)/P(S)

Hence, the correct notation is P(W|S)

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Answer:

Step-by-step explanation:

The hypotenuse is 2 * sqrt(11) because all the sides are equal. 1/2 the base is given as root 11.

x^2 = (2*sqrt(11) )^2 - (sqrt(11) ) ^2

x^2 = 4 * 11 - 11

x^2 = 44 - 11

x^2 = 33

x = sqrt(33)

sqrt(33) = 5.744

sqrt(33) = 5.7 rounded to the nearest 1/10

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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For a dilation the sizes of the segments will change, so a, c and d can't be correct.

Option b is one of the correct ones, because it is said that dilation is by a scale factor of 2, so the new segments must be twice as the original ones.

On the other hand, option e is correct to, because the figure must be similar (meaning it must have the same shape). Therefore, slopes of the new segments of the figure must be the same as the original ones.

Answer:

Step-by-step explanation:

-32.5

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

10 over 1

Step-by-step explanation:

Answer:

10 to 1

Step-by-step explanation:

its common sense

The value of x from the expression is 2.083

Given the equation expressed as:

Subtract 14,8 from both sides

32.3 - 14.8 = 14.8 - 14.8 + 8.4x

17.5 = 8.4x

x = 17.5/8.4

x = 2.083

Hence the value of x from the expression is 2.083

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Answer:

Solve.

32.3 = 14.8 + 8.4x

Enter your answer as a mixed number in simplest form in the box.

x = 2 1/12

Correct answers:

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

40/2 = 20

140/7 = 20

also if you look at the middle of 0 and 2 and go up to where the line is, its between 40 and 0 so its 20.

20

Step-by-step explanation:

divide 40 by 2. if u need to get 1 minute

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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Evaluating in x = 7 in the second piece of the function, we get:

f(7) = 1.

Here we have the piecewise function:

f(x) = -2x + 1    if x < 3

f(x) = x - 8       if x ≥ 3

Where the part in the right defines the domain of each piece of the function.

And we want to evaluate in x = 7, then we need to use the second part (because 7 is larger than 3). Replacing x by 7 we get:

f(7) = 7 - 8 = -1

f(7) = -1

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(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Hi!

The perimeter of a rectangle is the sum of all of its sides.

The perimeter of a triangle is the sum of all its sides

The perimeter of any shape is the sum of all its sides.

The area of a square, or rectangle, is equal to its width multiplied by its length.

Hope this helps

:)

Answer:    145

Step-by-step explanation: add then multilpy

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:

below

Step-by-step explanation:

point -1,-4

y - -4  = 3 ( x - -1)

y + 4 = 3 ( x+1)     <====== I think this is a far as they want you to take it

y = 3x -1          slope - intercept form

Answer:

3.14 cm tall

Step-by-step explanation: