Determine the solutions of the equation:

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15

Based on the calculation below, the after-tax return to the corporation is $3.16 per share or 6.44% if expressed in percentage.

The after-tax return can be calculated using the following formula:

After-tax return = Total return * ( 100% - tax rate) .............. (1)

Where:

Total return Received = Dividend received + Change in price = $4 + ($49 - $49 ) = $4 + $0 = $4

Tax rate = 21%

Substituting the values into equation (1), we have:

After tax return = $4 * ( 100% - 21%)

After-tax return = $3.16 per share

The after-tax return can also be expressed in percentages as follows:

After-tax return in percentage = After-tax return / Share price = $3.16 / $49 = 0.06444897 = 6.44%

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The ordered pair which is a solution to every linear equation of the form given is; (0, 0).

It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.

On this note, since the product of any real number, slope in this scenario and 0 is; 0.

Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.

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Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

The equation which represents the height of the books is  [tex]s(b)=\frac{5}{4} b[/tex]

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. An equation between two sums of monomials of degree 0 or 1 is known as a linear equation.

The books are stacked one above the other and each book is [tex]1\frac{1}{4}[/tex] inches thick.

So to calculate the total height of the stack we have to multiply the number of books in the stack with the thickness of each book.

The total thickness is represented in the from of a function as

s(b) and the thickness of each book is [tex]1\frac{1}{4}=\frac{5}{4}[/tex] inches

total height=[tex]\frac{5}{4}\times b[/tex]

Therefore the required equation is  [tex]s(b)=\frac{5}{4} b[/tex].

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Answer:

True

Step-by-step explanation:

We use definitions to help us in this problem. The definition of an integer is a whole number that is not a fraction or has any fractional value. This definition includes all whole numbers, so we know that all whole numbers can be classified as integers. That's one condition done. The definition of a rational number is a number that can be written as a fraction. All whole numbers can be written as a fraction (i.e. 12/1, -3/1, 10000/1). This means that all whole numbers are also rational numbers, giving us our final answer of True.

FINAL ANSWER: True

Answer: 24

A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.

the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.

The general equation for the vertical hyperbola is

            [ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1

The conjugate axis of the vertical hyperbola is y = k

Length of the conjugate axis  = 2b

According to the question k = 2, h = -1, a = 4, b = 12

Length of the conjugate axis = 2b = 2 * 12  = 24

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Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

Derek needs to pay 3 more pounds

The domain of the function given on the graph is basically all numbers which are real and greater than or equal to -3.

Given a graph of a function.

We are required to choose the correct domain of the function from the options.

Function is basically a relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as part of domain of that function and the values that we get from the function are known as part of range of that function.

Because the lowest point on x axis on which the curve starts is -3 and it continuously increases, so the domain of the function given on the graph is basically all real numbers which are greater than or equal to -3.

Hence the domain of the function given on the graph is all real numbers which are greater than or equal to -3.

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Question is incomplete as it should include the attached figure.

Answer:

Can someone help me please

Answer: 4 0 4

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6}{1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6\times3}{3\times1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{18}{3}}[/tex]

[tex]\mathsf{= \dfrac{2 + 18}{3 - 0}}[/tex]

[tex]\mathsf{= \dfrac{20}{3}}[/tex]

[tex]\mathsf{= 6 \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{20}{3}\ or\ 6 \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

A. $0.22 per tortilla

B. $0.19 per tortilla

Step-by-step explanation:

A. All you gotta do is divide the money by the amount of product.

4.40 ÷ 20  = 0.22

B. All you gotta do is divide the money by the product.

8.55 ÷ 45 = 0.19

Therefore, the best pack to spend your money on would be the larger pack  B.

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

Work Shown:

First replace every copy of n with 2

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]

Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]

Then repeat for n = 3

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]

Same goes with n = 4

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]

Finally plug in n = 5

[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]

-----------------------------------

We have this summary:

[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]

The first five terms are:  7, 15, 39, 111, 327

Answer: 46.5 by 19.5

Step-by-step explanation:

P=perimeter of panel. L=length. W=width

L=3W-12

P=2L+2W

132=2(3W-12)+2W

132=6W-24+2W

132=6W+2W-24

132=8W-24

156=8W

W=19.5

P=2L+2W

132=2L+2(19.5)

132=2L+39

2L=93

L=46.5

46.5 by 19.5

If a parallelogram has an area of 7 square units, and the height corresponding to a base is [tex](\frac{1}{4})[/tex] units, then the base is 28 units.

As per the question statement, a parallelogram has an area of 7 square units, and the height corresponding to a base is [tex](\frac{1}{4})[/tex] units.

We are required to find out the base of the parallelogram.

To solve this question, we need to know the formula to calculate the area of a parallelogram, which goes as

Area of Parallelogram = (Base * Height)

Putting our data obtain from the question statement, in the above-mentioned formula, we can calculate the value of the base of our concerned parallelogram, i.e.,

[tex]7=(base*\frac{1}{4})\\or, base=(7*4)\\or, base = 28[/tex]
Therefore, base of our concerned parallelogram is 28 units.

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Answer:

14 dollars

Step-by-step explanation:

182 divided by 13 is 14 dollars

may starclan light ur path

Answer:

22.4

Step-by-step explanation:

28% of 80 = [tex]\frac{28}{100}[/tex] of 80

=[tex]\frac{28}{100}[/tex] of 80 = [tex]\frac{28}{100}[/tex]*80

cut the zeros

=[tex]\frac{28}{10}[/tex]*8

=[tex]\frac{28}{5}[/tex]*4

=[tex]\frac{112}{5}[/tex]

=22.4

Answer:

36in

Step-by-step explanation:

A square has four sides. If the length of one is 9 inches, then we multiply it by four to get 9*4 = 36in as our perimeter.

FINAL ANSWER: 36in

The required equivalent expression to 12⁻⁷ x 12⁵ is 12⁻².

Given that,
To determine the equivalent expression for  12⁻⁷ x 12⁵.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 12⁻⁷ x 12⁵
Simplifying
=  12⁻⁷ x 12⁵
Since, when the same value has a difference in the exponent in the product then it retains the base value and the addition of the exponent takes place.
= 12⁻⁷⁺⁵
=12⁻²

Thus, the required equivalent expression to 12⁻⁷ x 12⁵ is 12⁻².

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Answer:

k < - 10 or k > 10

Step-by-step explanation:

inequalities of the type | x | > a have solutions of the form

x < - a or x > a , then

3k < - 30 or 3k > 30 ( divide each interval by 3 )

k < - 10 or k > 10

The slope of f is m= -0.05577.

Given : The winning times for the​ 200-meter dash can be approximated by  f(x) = - 0.05577x+146.2 , where x is the year.

To find : The slope of f

Solution : Using slope intercept form a linear function is represented as

y = mx+b

where, m is the slope and b is the y-intercept.

We can write the function as  f(x) = - 0.05577x+146.2

Comparing with slope intercept form,

m= -0.05577 and y-intercept = 146.2

Therefore, The slope of f is m= -0.05577

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Answer:

75 =x

Step-by-step explanation:

We can use angle addition to find the measure of angle x

30 + 45 = x

75 =x

Answer:

x = 75°

Step-by-step explanation:

x = 30° + 45°

x = 75°

The height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.

The time of motion of an object is the time taken for an object to travel from point of projection to the projection plane or it can be said as the time a projected object spent in air.

The time taken for an object dropped from a certain height is calculated as follows;

h = vt + ¹/₂gt²

where;

when the object is dropped from rest, v = 0

h =  ¹/₂gt²

t = √(2h/g)

Thus, the height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.

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Answer:

(7.5, -2)

Step-by-step explanation:

Label the coordinates(x₁,y₁) and (x₂,y₂)

Input the values into the formula  (x₁ + x₂)/2, (y₁ + y₂)/2

Add the values in the parentheses and divide each result by 2

The function which results from the reflection of the given function; f(x) = 3^x is; f(x) = 3^(-x).

It follows from the task content that the function given is; f(x) = 3^x.

The function in discuss is reflected across the y-axis, hence, it follows from transformation rules that the resulting function involves multiplying x by -1 as follows;

f(x) = 3^(-1×x)

f(x) = 3^(-x).

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