Find the sale price of each item. Round to two decimal places when necessary. 8. Original price: $45.00; Markdown: 22% 9. Original price: $89.00; Markdown: 33% ___________________________________ ___________________ 10. Original price: $23.99; Markdown: 44% _______________________________ 11. Original price: $279.99, Markdown: 75% eh, might aswell do the last question too. sorry! :) 12. How can you determine the sale price if you are given the regular price and the percent of markdown?

Answer:

[tex]f^{-1}=+-\sqrt{x+1}[/tex]

Step-by-step explanation:

f(x) = x^2 -1

We need to find f^-1(x)

WE find inverse of f(x)

Replace f(x) with y

[tex]y= x^2 -1[/tex]

Replace x  with y  and y with x

[tex]x= y^2 -1[/tex]

Solve for y

add 1 on both sides , [tex]x+1= y^2[/tex]

To remove square , take square root on both sides

[tex]\sqrt{x+1} =\sqrt{y^2}[/tex]

[tex]\sqrt{x+1} =y[/tex]

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

Replace y with f^-1

[tex]f^{-1}=+-\sqrt{x+1}[/tex]

Answer:

Inverse function is

[tex]f^{-1}(x)=\pm \sqrt{x+1}[/tex]

Step-by-step explanation:

Given that [tex]f(x)=x^2-1[/tex]

Now using that equation of f(x), we need to find equation of the inverse function

[tex]f(x)=x^2-1[/tex]

[tex]f^{-1}(x)[/tex]

Step 1: Replace [tex]f^{-1}(x)[/tex] with y

[tex]y=x^2-1[/tex]

Step 2: Switchx and  y

[tex]x=y^2-1[/tex]

Step 3: Solve for y

[tex]x=y^2-1[/tex]

[tex]x+1=y^2-1+1[/tex]

[tex]x+1=y^2[/tex]

[tex]y^2=x+1[/tex]

take square root of both sides

[tex]y=\pm \sqrt{x+1}[/tex]

Hence inverse function is

[tex]f^{-1}(x)=\pm \sqrt{x+1}[/tex]

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have the slope m = 4 and the point (2, 1). Substitute:

[tex]y-1=4(x-2)[/tex]      use distributive property

[tex]y-1=(4)(x)+(4)(-2)[/tex]

[tex]y-1=4x-8[/tex]        add 1 to both sides

[tex]\boxed{y=4x-7}[/tex]

Answer:

the answer is false.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2x+y=3

⇒ This equation can be written in the form of y = mx + c where m is the slope, c is the y-intercept and x and y are x and y coordinates respectively of the point where the the line passes.

2x+y=3

y = -2x + 3.

If the line passes through the origin (0,0), then c = 0. This is not the case in our eqation.

Again if the question passes through the origin, by substituting the point (0,0) in the question it would satify it.

2x+y=3  ⇒ 2(0) + 0 = 3

                     0 + 0 ≠ 3

                      0 ≠ 3

The statement is false.

Answer:

A parallelogram is a quadrilateral whose opposite sides are parallel.

It's properties include:

- The opposite sides of a parallelogram are parallel.

- A diagonal of a parallelogram divides it into two congruent triangles.

- The opposite sides of a parallelogram are congruent.

- The opposite angles of a parallelogram are congruent.

- The consecutive angles of a parallelogram are supplementary.

- The diagonals of a parallelogram bisect each other.

a quadrilateral whose both pair of opposite side are equal and parallel to each other is called a parallelogram

[tex]AREA OF PARALLELOGRAM => BASE X HEIGHT = BXH [/tex]

any side of parallelogram can be chosen as the base of parallelogram the perpendicular dropped on that side from opposite vertex is known as height attitude

Answer: 3a^3 b^2+3a^2 b^2

Step-by-step explanation:

3a^2(ab^2+b^2)

=(3a^2)(ab^2+b^2)

=(3a^2)(ab^2)+(3a^2)(b^2)

=3a^3 b^2+3a^2 b^2

hope this helps

please mark brainliest answer

Answer:

3a3b2 + 2a2b2

Step-by-step explanation:

3a2(ab2 + b2) =

= 3a2*ab2 + 3a2*b2

= 3a3b2 + 2a2b2

Answer:

The value is  of given expression is -5+6i.

Step-by-step explanation:

The given expression is

[tex](-3+3i)+(-2+3i)[/tex]

It can be written as

[tex]-3+3i-2+3i[/tex]

Now combine like terms.

[tex](-3-2)+(3i+3i)[/tex]

[tex](-3-2)+(3+3)i[/tex]

Simplify each parenthesis.

[tex](-5)+(6i)[/tex]

[tex]-5+6i[/tex]

Therefore the value is  of given expression is -5+6i.

Answer is shown in the attached image, in RED.

The solution to the system of equations is (12, 30).

Option B is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the system of equations using the substitution method,

We solve one equation for one of the variables and substitute the expression into the other equation.

Let's solve the first equation for y:

y = 2x + 6

Now, substitute y = 2x + 6 into the second equation and solve for x:

3x - y = 6

3x - (2x + 6) = 6

3x - 2x - 6 = 6

x = 12

Now that we have found x, we can substitute it back into either of the original equations to find y.

Let's use the first equation:

y = 2x + 6

y = 2(12) + 6

y = 30

Therefore,

The solution to the system of equations is (12, 30).

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Answer:

.224 / 7  = .032

Step-by-step explanation:

.224 / 7

7 goes into 2    0 times with 2 left over

7 goes into 22   3 times with 1 left over

7 goes into 14    2 times with 0 left over

.224 / 7  = .032

Answer:

.032

Step-by-step explanation:

Final answer:

To find out how far Sarah can drive on a full tank of gas, the correct proportion is '77/3.6 = x/15'. This compares the known miles driven to gallons used, scaled up to a full tank of 15 gallons, representing the distance with 'x'. So the correct option is d.

Explanation:

The student is working on solving a proportion problem related to fuel consumption and driving distances. To find out how far Sarah can drive her car on a full tank of gas, we need to set up a proportion that compares miles driven to gallons used, and then scale it up to a full tank of gas.

Since Sarah drove 77 miles on 3.6 gallons of gas, we can compare this to a full tank of 15 gallons to find the total distance she can drive, represented by 'x'. The correct proportion is 77 miles to 3.6 gallons as 'x miles' is to 15 gallons.

The correct proportion is d. 77/3.6 = x/15, as it reflects the direct relationship between miles driven and gallons of fuel. When the gallons are increased from 3.6 to 15, we expect the miles that can be driven to increase proportionally.

Answer:

C and D

Step-by-step explanation:

The Middles were the same length and the side of the alligator are slightly longer.

The correct options are:

C.  Center-- The crocodiles have a greater median length than the alligators.

D.   Spreads--  The lengths of the alligators are more spread out.

Median of the data--

The median is the central tendency of the data and it always exist in the middle of the data.

By looking at the data.

We observe that the Median of the data :

Crocodile lie at : 17

and that of the alligator lie at : 9

Hence, the median for the crocodile is more than for the alligators.

Spread--

The spread in the data means how far the data points are from the center of the data i.e. mean or median.

By looking at the data crocodile we observe that all the data points are close to the median.

whereas in the data alligator one of the data point is far from the median.

Hence, the spread in case of alligator is more as compared to that of crocodiles.

Answer:

80 Cents

Step-by-step explanation:

Answer: Each person will need to pay $1.25

Step-by-step explanation: $13.75 divided by the 11 people = $2.25

Perhaps brainliest?

Answer:

The correct answer for this problem is 200 miles.

Answer:

7/8 ths

Step-by-step explanation:

3 divided by 4 is .75

* 7 divided by 8 is .875

8 divided by 10 is .80

7 divided by 9 is .77

If you divide the fractions you can compare the values and the highest value is your largest fraction.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator. The fraction 7/9 has the largest fraction.

Given information-

The set of the fraction given in the problem is,

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

The order of the fraction is arranging the fraction number from the smallest to the largest number.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator.

To compare the fraction, make the denominator with same.

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

To make the denominator same find out the least common factor of denominators which are 4,8,10 and 9 which is 360.

Multiply and divide with 360 in the given fractions to bring the 360 in denominator,

[tex]\dfrac{3\times360}{4\times360}, \dfrac{7\times360}{8\times360}, \dfrac{8\times360}{10\times360}, \dfrac{7\times360}{9\times360}[/tex]

[tex]\dfrac{270}{360}, \dfrac{315}{360}, \dfrac{288}{360}, \dfrac{315}{360}[/tex]

As the numerator 315 is the highest among all. Hence the fraction 7/9 has the largest fraction.

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Answer:

355 senior citizen tickets were sold.

Step-by-step explanation:

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

[tex]a +s=465[/tex] --- (1)

[tex]23a+13s=7145[/tex] --- (2)

From equation 1, [tex]a=465-s[/tex].

Substitute [tex]a[/tex] in equation 2 to get:

[tex]23 (465-s) + 13s = 7145[/tex]

[tex]10695 - 23s +13s =7145[/tex]

[tex]-10s = -3550[/tex]

[tex]s = 355[/tex]

Therefore, there were 355 senior citizen tickets sold.

Answer: y = 17x

Step-by-step explanation:

Note that the equation that will be used is: y = mx + b,in which m = slope and b = y-intercept.

Solve for b:

0 = 17(0) + b

Simplify:

0 = 0 + b

b = 0

Equation: y = 17(x)

~

ABOUT POINT SLOPE FORM:

ABOUT PROBLEM:

y - Y1 = m (x - X1)

y - 0 = 17 (x - 0) --- IN POINT SLOPE FORM

Hope this helps you!!! :)

Answer:18 1/12

Step-by-step explanation:i first added the whole numbers 12 and 5 to get 17; i then addled 1/4 and 5/6; i did this by finding a common denominator of both fractions and converted them into 6/24 and 20/24; i added them to get 26/24 which simplifies to 1 and 2/24, which equals 1 1/12; i added 1 to 17 and got 18, then added 1/12 to get 18 1/12

The sum of 121/4 and 5 5/6 is found by converting the mixed number to an improper fraction, finding a common denominator, adding the fractions, and simplifying if possible. The final answer is 433/12, which is already in its lowest terms.

The question asks for the sum of the numbers 121/4 and 5 5/6 reduced to the lowest terms. To answer this, we must first convert the mixed number to an improper fraction and then add it to the other fraction. Here's how to do it step by step:

Convert 5 5/6 to an improper fraction: 35/6.

Add 121/4 to 35/6. To do this, find a common denominator, which would be 12 in this case.

Convert both fractions to have the common denominator: 121/4 becomes 363/12, and 35/6 becomes 70/12.

Add the two fractions: 363/12 + 70/12 equals 433/12.

Reduce the fraction if possible. In this case, 433/12 is already in its lowest terms.

Therefore, the sum of 121/4 and 5 5/6 reduced to lowest terms is 433/12.

Answer:

0.19125

Step-by-step explanation:

You divided 4.59 by the amount 24-oz

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.

The diagonals of a rhombus bisect the vertex angles.

Yes, the diagonals of a rhombus bisect the vertex angles.

To understand this, we can consider that in a rhombus, the diagonals are perpendicular to each other, and when a diagonal bisects an angle, it creates two congruent triangles.

Therefore, the diagonals of a rhombus do indeed bisect the vertex angles.

Answer:

658.24 m

Step-by-step explanation:

Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:

[tex]AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot \cos \angle B,\\ \\AC^2=500^2+350^2-2\cdot 500\cdot 350\cdot \cos 100^{\circ},\\ \\AC^2=250000+122500-350000\cdot (-0.174),\\ \\AC^2\approx 433276.8622,\\ \\ AC\approx 658.24\ m.[/tex]

Answer:

658.24 m

Step-by-step explanation:

The figure makes a triangle with vertices abc.

Where ab = 500 m

           bc = 350 m

The angle abc = 100°

Using the cosine rule we can find the distance ac.

ac² = 500²+350² - 2×500×350×cos100°

      = 372,500 - -60,776.86

      = 433,276.86

ac = √433,276.86

    = 658.24 m

Answer:

3 to 4

or

3:4

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

To find f(g)(x) , we substitute g(x) in for x in the function f(x)

f(x) = x^2 -x

f(g(x)) = g(x)^2 -g(x)

          = (x+1)^2 - (x+1)

           = (x+1)*(x+1) - (x+1)

FOIL the square

             (x+1) (x+1)

         First x*x = x^2

        outer x*1 = x

        inner 1*x = x

       last  1*1 =1

Add them together

x^2 + x+x+1 = x^2+2x+1

f(g(x)) = (x+1)*(x+1) - (x+1)

           = x^2+2x+1 -(x+1)

Distribute the -1

          = x^2 +2x+1 -x-1

          = x^2 +x

f(g(x)) is basically replacing the x with g(x).

So, f(x)=(g(x))^2 - g(x)

g(x), in turn, equals x+1

Replace g(x) with x+1

(x+1)^2 - (x+1)

Expand: x^2+x+x+1 - x - 1

Cancel out x and 1

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

If you require factoring it's

f(g(x))=x(x+1)

Answer:

x < -3

Step-by-step explanation:

First subtract 6 from both sides of the inequality.

[tex]4x+6-6<-6-6[/tex]

[tex]4x<-12[/tex]

Divide 4 on both sides.

[tex]\frac{4x}{4} < \frac{-12}{4}[/tex]

[tex]x<-3[/tex]

Answer : The value of car will be, $11654.98

Step-by-step explanation:

Given,

Principle = $22300

Time = 6 years

Rate of depreciation = 10.25 %

Formula used :

[tex]A=P(1-\frac{R}{100})^t[/tex]

where,

A = amount

P = principle

R = rate  of depreciation

T = time

Now put all the given values in the above formula, we get:

[tex]A=P(1-\frac{R}{100})^t[/tex]

[tex]A=\$ 22300(1-\frac{10.25}{100})^{6}[/tex]

[tex]A=\$ 11654.98[/tex]

Therefore, the value of car will be, $11654.98

Answer:

-2 > x

Step-by-step explanation:

-8x-10>7x+20

Add 8x to each side

-8x+8x-10>7x+8x+20

-10 > 15x+20

Subtract 20 from each side

-10 -20 > 15x+20-20

-30 > 15x

Divide by 15

-30/15 > 15x/15

-2 > x

Question

Is this a true proportion ? 3/4,8/12

Answer:

Step-by-step explanation:

3/4 = 8/12

semplify

3/4 = 2/3

or you can solve in this way

3/4 = 8/12

0.75 = 0.66≈

Answer: 1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries and raspberries Joy can buy, we can rearrange the equation and solve for x and y.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries Joy can buy, we can rearrange the equation to solve for x: x = (10 - 1.75y) / 1.60. Similarly, to find out how many pounds of raspberries Joy can buy, we can rearrange the equation to solve for y: y = (10 - 1.60x) / 1.75.

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[tex]p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrac{4}{10}=0.4\\\\40\%\ of\ \$1200\ is\ 0.4\cdot\$1200=\$480\\\\Answer:\ \text{He spend}\ \$480.[/tex]

Final answer:

To determine the amount Stephen spent from his $1200 at 40%, the percentage is converted to a decimal (0.40) and multiplied by $1200, resulting in $480 spent.

Explanation:

Stephen had $1200. To calculate the amount of money he spent after using 40% of his money, we need to find 40% of $1200. We can write this as 0.40 × $1200.

Step 1: Convert the percentage into a decimal: 40% = 0.40

Step 2: Multiply the decimal by the total amount of money Stephen had: 0.40 × $1200 = $480.

Hence, Stephen spent $480 out of his $1200.

Answer: A & B

Step-by-step explanation:

-7y + 2x ≤ 3

(0, 0):      -7(0) + 2(0) ≤ 3

                  0   +   0  ≤ 3      

                        0      < 3            TRUE

(1, 1):      -7(1) + 2(1) ≤ 3

               -7   +  2   ≤ 3      

                      -5     < 3               TRUE

(-3, 5):      -7(-3) + 2(5) ≤ 3

                   21   +  10   ≤ 3      

                         31        < 3          FALSE