Identify the set of x-values for which the graph of the piecewise-defined function is constant.

Answer:

$26.8

Step-by-step explanation:

To find the discount, you turn the percentage of the discount into a decimal (.33) then multiply it by the original price (40)

$40 x .33 = 13.2

You then subtract the total to the original price of the item (40)

$40 - 13.2 = 26.8

So the discount price of the jacket would be $26.8

Hope this helps!!

-Jerc

The given line passes through (0,10) and (2,0), so its slope is

[tex]\frac{10-0}{0-2}=-5[/tex]

Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.

Substituting into point-slope form,

[tex]y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}[/tex]

Answer:

75 kb

Step-by-step explanation:

Answer:75

Step-by-step explanation:

Divide 20 by 4 to get 5, the number of kb per second, and multiply by 15 to get 75

Answer:

gbvdvgszfbv fxcv

Step-by-step explanation:

fdsbg vsfdr vfsdrb

[tex] \green {\boxed{Answer}}[/tex]

[tex]f(x) = 9x - 10[/tex]

[tex]f(3) = 9 \: . \: 3 - 10[/tex]

[tex]f(3) = 27 - 10[/tex]

[tex]f( 3) = 17[/tex]

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Answer:

Step-by-step explanation:

Function given

Maximum height is the vertex of the parabola, which is achieved at:

Substituting values of a and b

Value of d(2.5):

Time to hit the ground:

Solving we get positive root:

Answer:

The formula used for the average growth rate over time method is to divide the present value by the past value, multiply to the 1/N power and then subtract one. "N" in this formula represents the number of years.

Step-by-step explanation:

Answer:

(6,-6)

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-9,\:-5\right),\:\\\left(x_2,\:y_2\right)=\left(21,\:-7\right)\\\\=\left(\frac{21-9}{2},\:\frac{-7-5}{2}\right)\\\\=(\frac{12}{2} , \frac{-12}{2})\\ \\=\left(6,\:-6\right)[/tex]

Answer:

(6, -1)

Step-by-step explanation:

P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2)

We have that px=−9, py=5, qx=21, qy=−7.

Thus, M=(−9+212,5−72)=(6,−1).

Answer: There will be 12 red skittles and 28 yellow ones.

Step-by-step explanation:

Basically what the problem means is that for every 3 red skittles, there will be 7 yellow ones. Since 7 and 3 add up to ten, all you have to do is multiply both numbers times 4 to keep the ratio.

Answer:

the area of 60ft is 60. :]

Step-by-step explanation:

Answer:

it tells you which lessons to go to . did you answer the questions on those pages

Step-by-step explanation:

The data was modified to give you a complete explanation and help to solve your problem.

Answer:

[tex]y=1-x[/tex]

Step-by-step explanation:

A line passing through two points

Given two points A(x1,y1) and B(x2,y2), the equation of the line passing through them is:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The question provides the points (1,0) and (1,0). Note both points are the same. They cannot be used because there is not a unique line passing through a single point.

We'll use the points (0,1) and (1,0) instead.

[tex]\displaystyle y-1=\frac{0-1}{1-0}(x-0)[/tex]

[tex]\displaystyle y-1=\frac{-1}{1}(x-0)[/tex]

[tex]\displaystyle y-1=-x[/tex]

Reducing:

[tex]\boxed{y=1-x}[/tex]

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Answer:

12(d-6)

Step-by-step explanation:

Answer:

12n-72

Step-by-step explanation:

You would say 12(n-6) because the difference of a number would be n and the difference is 6. When it says 12 times, then you will multiply it by the numbers in the parentheses.          

Answer:

323

Step-by-step explanation:

310 + 13

300

10 + 10 = 20

3

300 + 20 + 3 = 323

Answer:

323

Step-by-step explanation:

you add the numbers

Answer:

10 because if you multiply 5 times five you get 10

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

[tex]\sf\:m\angle AB = 56 \\[/tex]

[tex]\sf\:m\angle BC = 59 \\[/tex]

[tex]\sf\:m\angle CD = 63 \\[/tex]

[tex]\sf\:m\angle DE = 63 \\[/tex]

[tex]\sf\:m\angle EF = 31 \\[/tex]

To find the measure of the geometry-big circle, we add up these measures:

[tex]\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\[/tex]

Substituting the given values:

[tex]\sf\:56 + 59 + 63 + 63 + 31 \\[/tex]

Simplifying the expression:

[tex]\sf\:272 \\[/tex]

Therefore, the measure of the geometry-big circle is 272.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

  a) False

  b) True

Step-by-step explanation:

a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.

The assertion that x=1 is necessarily a vertical asymptote is False.

__

b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.

The assertion that x=2 is necessarily a vertical asymptote is True.

_____

The graph shows a simple example of a function that has the given characteristics.

Answer:

No, the answer is incorrect.

Step-by-step explanation:

First, multiply 4.6 and 2, you will get 9.6.

Next, you will subtract the exponents.

8 minus 3 is 5 so it is incorrect. The correct answer is 9.6 × 10^5 not 9.6 × 10^-5.

Answer:

A pair of linear functions

Step-by-step explanation:

A pair of linear function always has an inverse linear function and the linear function always has a domain and range of all real numbers.

-domain and range are always real numbers

-pair of linear functions always have an inverse which has the domain of all real numbers

A pair of linear functions and their inverses will always have a domain and range of all real numbers.

" Function is defined as the set of all input values have at least one output value."

According to the question,

a. A pair of linear functions : let the function be y = x.

Domain : (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse of linear function is linear domain and range set of all real numbers.

Option A is the correct answer.

b. A cubic function and a cube root function : Let y = x³

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse function  , x = ∛y ,

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Option B is not a correct answer.

c. a quadratic function and a square root function :

Domain of square root function: y = √x is [ 0, ∞)

Range of square root function: y = √x is [ 0, ∞)

Domain of quadratic function is (-∞ , ∞) set of all real numbers.

Range : all possible values of y.

Option C is not a correct answer.

D. A logarithmic function and an exponential function :

Domain : ( 0, ∞)

Range : set of all real numbers

Exponential function:

Domain : set of all real numbers

Range : ( 0, ∞)

Option D is not a correct answer.

Hence , Option A is the correct answer.

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Answer:

A quadratic function with imaginary roots will never intersect the x-axis, because imaginary numbers are not real numbers. Therefore, the graph of a quadratic function with imaginary roots will be a parabola that does not touch the x-axis.

Here is an example of a quadratic function with imaginary roots:

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

The discriminant of this quadratic equation is b^2 - 4ac = 4^2 - 4 * 1 * 5 = -4. Because the discriminant is negative, the roots of the equation are imaginary.

The graph of this function is shown below: Attachment

As you can see, the graph does not intersect the x-axis. This is because the roots of the equation are imaginary, and imaginary numbers do not exist on the real number line.

x    f(x)

-2    -1

-1      1

0      5

1       7

2       11

Answer:

draw a triangle with sides of 8 units for left side 8 for the right side and 4 for the bottom

Step-by-step explanation:

then draw a second one in the middle with 4 units for the left one 4 units for the right one and 2 units for the bottom one then say it is the size of the grid and the dilation is divided by 2 and smaller the the first figure.

1. The number of different triangular frameworks that Joe can make which have a longest side 7 meters long, using the rods he has in stock is 6 triangular frameworks.

2. The value of c cannot be less than 2 and Joe can't use a 1 meter rod.

3. The length ​triangular frameworks can't be modeled by a single function rule.

In Mathematics, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < a < b + c

Where:

a, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem to the side lengths of this triangle, we have:

c > b > a

Part 2.

Next, we would investigate for other values of c such as 8, 6, and 4;

8 > 7 > 6            6 > 5 > 4            4 > 3 > 2

8 > 7 > 5            6 > 5 > 3

8 > 7 > 4            6 > 5 > 2

8 > 7 > 3            6 > 4 > 3

8 > 7 > 2

8 > 6 > 5

8 > 6 > 4

8 > 6 > 3

8 > 5 > 4

Part 3.

Assuming the value of c is even, the number of different triangular frameworks can be modeled by [tex]\frac{(c-2)^2}{4}[/tex]. Assuming the value of c is odd, the number of different triangular frameworks can be modeled by [tex]\frac{(c-3)(c-1)}{4}[/tex].

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Answer: Pen=$1.45, Notebook $2.33

Step-by-step explanation:

In order to solve this equation, you must be able to use your substitution propertys. 5x+2y=11.91 and 3x+3y=11.34

Using the first equation, 2y=11.91-5x then y=(11.91-5x)/2. Then substitute.

Answer:

need a answer

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

-0.7x=2.1

x = 2,1 : (-0,7)

x = ( 21/10 ) : (-7/10)

x = -3

Answer:

1,124 pennies.

Step-by-step explanation:

Let x represent the total amount of coins Christine's penny bank can hold.

We know that it is initially 1/5 full. So, the amount of coins in the bank is:

[tex]\frac{1}{5}x[/tex]

We know that she adds 562 pennies in it. So, we will add 562 to our expression:

[tex]\frac{1}{5}x+562[/tex]

And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:

[tex]\frac{1}{5}x+562=\frac{7}{10}x[/tex]

To find out how many coins the bank can hold, we will simply solve for x.

First, let's multiply both sides by 10 to remove the fractions:

[tex]10(\frac{1}{5}x+562)=10(\frac{7}{10}x)[/tex]

Distribute:

[tex]2x+5620=7x[/tex]

Subtract 2x from both sides:

[tex]5x=5620[/tex]

Divide both sides by 5:

[tex]x=1124[/tex]

Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.

And we're done!

Answer:

y=1/2x-4

Step-by-step explanation:

y=1/2x+b

-3=1/2(2)+b

-3=1+b

-4=b

y=1/2x-4