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The range of function is { -1, 1 }

Solution:

Given that, the function is:

[tex]f(x) = \frac{x^2-2}{2}[/tex]

Domain is {0, 2 }

We have to find the range of function

The domain refers to the set of possible input values

The range is the set of possible output values

Here domain is x = 0 and x = 2

Substitute x = 0 in given function

[tex]f(0) = \frac{0-2}{2}\\\\f(0) = \frac{-2}{2}\\\\f(0) = -1[/tex]

Substitute x = 2 in given function

[tex]f(2) = \frac{2^2-2}{2}\\\\f(2) = \frac{4-2}{2}\\\\f(2) = \frac{2}{2} = 1[/tex]

Thus the range of function is { -1, 1 }

Answer:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

Step-by-step explanation:

the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are

i) reflect the the triangle about the x- axis.

ii) shift the result of i) by 1 upwards

iii) shift the result of ii) by 5 to the left

Answer:14 dimes 10 nickels

Step-by-step explanation:

24 coins total

14 X.10 = 1.40

10 x .05 = .50

1.40 + .50 = 1.90

Answer:

The square root of 64 is 8.   8*8=64

Hope this helps,  

:)

The graph that represents the sale of the company is the first graph as shown attached.

In the first pie chart, each salesperson's contribution is clearly depicted as a segment of the whole pie. Joe's 25%, Cindy's 40%, and Jamie's 35% are visually represented.

Pie charts are good for showing how much of something each person sells. They help us see who sells more without needing to do hard math.

With pie charts, it's easy to understand who sells the most just by looking at the colors and sizes of the slices. They make it simple to compare how much each person sells without having to do any fancy calculations.

Answer:

You have to solve for the letter

Step-by-step explanation:

For example, Q5 is 40 - 5n = -2.

*Use a calculator if necessary.*

~Hope this is helps (.^.)~

Answer:

.0,1,2,3,4,5,6,7,8

The group which represents a success is D. 0, 1, 2, 3, 4, 5.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is D.

Learn more about Probability here :

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Answer:

20 and 50

Step-by-step explanation:

the angles of a triangle add up to 180 degrees.

so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.

the other two angles are in a ratio of 2:5....added = 7

meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure

so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==

and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==

Final answer:

The expression x(y-5) - y(5-y) can be rearranged and factored into (y - 5)(x + y), which is the expression written as a product of two polynomials.

Explanation:

To write the expression x(y-5) - y(5-y) as a product of two polynomials, we first distribute the variables across each term:

x(y-5) = xy - 5x

-y(5-y) = -5y + y²

Now, combining like terms:

xy - 5x - 5y + y²

This expression can't be factored as is, since it cannot be represented by the product of two simpler polynomials with real coefficients. However, we can rearrange the terms:

(xy - 5y) + (y² - 5x) = y(x - 5) + y(y - 5)

Here we can see a common factor of (y-5):

(y - 5)(x + y)

This is the expression written as a product of two polynomials.

Answer:

2<6

Step-by-step explanation:

2(n+3)-4

(2n + 6)-4

2n + 2

--------(both can be divided by 2)

2      2

n=2

2<6

the second line the the last  i believe im not so sure about the graphing but i hope starting you off with 2<6 helps

Answer:

10 days the balance is $1,000, but then the balance drops to $950.

Step-by-step explanation:

For the first 10 days the balance is $1,000, but then the balance drops to $950.

Answer:

k = 0

Step-by-step explanation:

Explanation:-

given straight line equation is k x+(k+1)y=2......(1)

The point A(2,2) lies on the equation is

substitute x = 2 and y=2

k(2) + (k+1)(2) =2

now simplify 2 k+2 k+2 = 2

subtracting '2' on both sides , we get solution is

4 k +2 -2 = 2-2

4 k =0

k = 0

Answer:

k = 0

Step-by-step explanation:

kx + (k + 1)y = 2

2k + 2(k + 1) = 2

2k + 2k + 2 = 2

4k + 2 = 2

4k + 2 - 2 = 2 - 2

4k = 0

4k ÷ 4 = 0 ÷ 4

k = 0

Answer:

The solution of the system is the point (-1,-2)

Step-by-step explanation:

The question is

Enter the coordinates of the solution to the system of equations

we have

[tex]y=x-1[/tex] ----> red line

[tex]y=-2x-4[/tex] ----> blue line

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs. The solution is a point that satisfy both equations

using a graphing tool

The intersection point is (-1,-2)

The intersection point satisfy both equations

therefore

The solution of the system is the point (-1,-2)

see the attached figure to better understand the problem

First subtract 3: u/5 = -2

Now, because u is divided by 5, we can multiply by 5 to get u on its own.

u = -10

To check, -10/5 + 3 = 1

-2 + 3 = 1

1 = 1

This leaves us with a true statement, so the answer is correct.

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

so

Verify each description

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

Answer:

Angle measurements of 35, 35, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

took a test got the answer correct

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]

Therefore the Length of BE is 17 units.

Answer:

Answer is C

Step-by-step explanation:

edge 2021

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

[tex]155 - 3.50x = 135 - 3x[/tex]

solving the equation, we get

[tex]155 -135 = -3x + 3.50x[/tex]

20 =  0.5x

[tex]x = \frac{20}{0.5}[/tex]

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

B)The value of each card be when they have equal​ value

The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

[tex]155 - 3.50x = 135 - 3x[/tex]

substituting  x = 40, we get

[tex]155 - 3.50(40)= 135 - 3(40)[/tex]

[tex]155 - 140= 135 - 120[/tex]

[tex]15 =15[/tex]

when they have equal​ value, the value of each card will be $15

Answer:

$8

Step-by-step explanation:

Given: Television advertising= $38 out of every $100 spent on advertising.

           Radio advertising= 21% as much as was spent on television ads.

As given there are $38 spent on television ads on every $100 of advertising.

∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]

Now, finding amount spent on radio advertising on every $100 spent on advertising.

We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.

∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]

⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]

To know the amount spent on radio advertising on every $100 spending on advertising.

Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]

Hence, $8 spent on radio advertising on every $100 spending.

About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.

In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:

Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)

Amount spent on radio advertising = $38 × (21 / 100)

Amount spent on radio advertising = $7.98

Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

Answer:

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

Answer:

Step-by-step explanation:

Answer:

0.0026 mark brainliest

Step-by-step explanation:

Answer:

2.6 hours

Step-by-step explanation:

9360 second divide by 60 to get minutes

156 minutes divided by 60 to get hours

2.6 hours

Answer:

B and F

Step-by-step explanation:

Option A is false, there is no information whether opposite sides are parallel.

Option B is true because of following parallelogram theorem.

Parallelogram theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Option C is false, there is no information about any angles.

Option D is false, there is no information about any angles.

Option E is false, there is no information about any angles.

Option F is true because of following parallelogram theorem.

Parallelogram theorem:  If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

Answer:

Scientific notation = 5.76 x 10³ square inches

Step-by-step explanation:

Standard notation = 5,760 square inches

Scientific notation = 5.76 x 10³ square inches

Answer: Step 1. Divide all terms by a (the coefficient of x2).

Step 2. Move the number term (c/a) to the right side of the equation.

Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex] quart

Step-by-step explanation:

Given:

Riley drink 4/5 quart of iced tea

And her friend drink 0 3/10 quart of iced tea

Question asked:

how much more of a quart of iced tea did Riley drink than her friend = ?

Solution:

Riley drank of iced tea = [tex]\frac{4}{5}[/tex]

Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]

                                                = [tex]\frac{3}{10}[/tex]

We will subtract the share of her friend from Riley's share

Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]  

                                                     = [tex]\frac{5}{10}[/tex]

                                                     =    [tex]\frac{1}{2}[/tex]

Thus, Riley drank [tex]\frac{1}{2}[/tex]  quart more than her friend.

Final answer:

Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.

Explanation:

The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:

4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.

Therefore, Riley drank 1/2 quart more iced tea than her friend.

Answer:

Option A - [tex]26 \mathrm{cm}^{3}[/tex]

Step-by-step explanation:

Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex]                    (1)

The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex]              (2)

Substituting [tex]V=78[/tex] in equation (2), we get,

[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]

Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)

[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]

Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].

The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]

Hence, the volume of the cone is 26 cubic centimeters.

To know more about the cone, please refer to the link:

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Answer:

3 and 2

7 and 6

are the alternate interior angles.

Answer:

30,240 yards

Step-by-step explanation:

6*30 in an hour

6*30*24 in a day

6*30*24*7 in a week, solve for 30240