Graph the parabola.
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answer:

18oz for 6.30 is the cheapest

Step-by-step explanation:

0.35$ per oz

0.38$ per oz

0.37$ per oz

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⇒When we round to the nearest integer we are to round to the nearest whole

⇒We look at the first term after the comma which is  in the tenths place.

⇒In this case it is 1 does it allow me to round up or down?

It allows me to round down meaning the integer will be 0

Answer:

x = 76/79 or 0.962

Step-by-step explanation:

depending on the question but it's most likely 103

Step-by-step explanation:

Given the figure of the circle B

the radius of the circle = r = BC = 9

the measure of the angle CBD = 40°

We will find the length of the arc CD

The length of the arc is given by the formula:

where: θ is the central angle opposite to the arc measured in radians

so, we will convert the given angle from degree to radian

Substitute with the given values

so, the length of the arc =

So, the answer will be:

The length of the arc CD = 2π

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = -x + 11

g(x) = 3x² - x + 14​

(gof)(9) = ?

Step 02:

(gof)(x) = 3(-x+11)² - (-x+11) + 14​

= 3(x² + 2(-x)(11) + 121) + x - 11 + 14

= 3(x² - 22x + 121) + x - 11 + 14

= 3x² - 66x + 363 + x - 11 + 14

= 3x² - 65x + 366

(gof)(9) = 3(9)² - 65(9) + 366

= 3(81) - 585 + 366

= 243 - 585 + 366

= 24

The answer is:

(gof)(9) = 24

The number will be 1500

Given in the question:

A number is divided by 5, the result is 50 less than

and,  if the number had been divided by $6$.

To find the number.

Now, According to the question:

Let the number be x

x is divided by 5 = x/5

also, The number is divided by 6 = x/6

Here, The expression will be:

x/5 -  50 = x/6

30(x/5 - 50) = 30(x/6)

6x - 1500 = 5x

1500 = x

Hence, The number will be 1500 .

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The equation using slope intercept form would be...

[tex]y=-4x-17[/tex]

Hope this helps!

Answer:

$3375

Step-by-step explanation:

3 3/4 ÷ 1/2

=15/4 × 2/1

=7 1/2

7 1/2 multiply by carpet cost

7 1/2 × 450

= $3375

(your 3rd and 4th option in the multiple choice are the same btw)

Answer:7937

Step-by-step explanation:7596

If a rectangular prism has dimensions of 2cm by 2 cm by 5 cm, then the surface area of the rectangular prism is 48 centimeter square

The length of the rectangular prism = 2 cm

The width of the rectangular prism = 2 cm

The height of the rectangular prism = 5 cm

The surface area of the rectangular prism = 2(lw+lh+hw)

Where l is the length

w is the width

h is the height

Substitute the values in the equation

The surface area of the rectangular prism = 2(2×2+2×5+2×5)

= 2(4+10+10)

= 2×24

= 48 centimeter square
Hence, if a rectangular prism has dimensions of 2cm by 2 cm by 5 cm, then the surface area of the rectangular prism is 48 centimeter square

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ANSWER:

The value of x is 20

STEP-BY-STEP EXPLANATION:

By properties of the angles we know that these angles are equal, since they are alternative external angles. Thanks to that we can do the following equality to calculate the value of x:

Solving for x:

Answer:

Transformed equation: 6(x-9)³ - 3

Step-by-step explanation:

Answer:

6(x - 9)^3 - 3

Step-by-step explanation:

1. Vertical Stretching : f(x) -> g(x): [tex]g(x) = 6x^{3}[/tex]

2. Horizontal Move: g(x) -> h(x): [tex]h(x) = 6{(x - 9)}^{3}[/tex]

3. Vertical Move: h(x) -> F(x): [tex]F(x) = 6{(x - 9)} ^{3} - 3[/tex]

In probability, A is 8 out of 16 and C is 3 out of 15.

What is probability explain?

Out of the 17 counters in the bag 3 are yellow , 6 are red and the rest i.e., 17–3–6 or 8 nos.are green.

When selected randomly once one counter the probability of selecting one is

A. green is 8 out of 17 or 8/17 ,

B. getting a red one is 6 out of 17 or 6/17.

C. getting a yellow is 3 out of 17.

This is when the counter is put back in the bag for selecting.

If the selected one is not put back remaing counters are less by one each time it's drawn and then the probability figure is one out of 16 in the second case and one out of 15 for the third draw ime., then A is 8 out of 16 and C is 3 out of 15.

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The total number of cans in the refrigerator is 5 + 8 = 13

The number of diet soda cans is 5 while the number of regular soda cans is 8

If three cans are selected, the probability that the can is a diet soda can is

5/13

Since it was not replaced, the number of diet soda cans left would be 4 and the total number of cans left would be 12. The probability that the next selected can is a diet can is

4/12 = 1/3

Since it was not replaced, the number of diet soda cans left would be 3 and the total number of cans left would be 11. The probability that the next selected can is a diet can is

3/11

Thus, the probability that the three selected cans are diet soda cans is

5/13 * 1/3 * 3/11 = 5/143

= 0.035

the probability that the three selected cans are diet soda cans is 0.035

da can

r

The probability of getting exactly 5 heads in 10 tosses of a coin 24.6%

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Ten times are spent flipping coins.

Total number of results = 2¹⁰ = 1024

C(10, 5) = 252 is the total number of favorable outcomes.

Probability is

252/1024,

which equals :

=0.24, or

=24.6%.

Therefore, the chance of getting exactly 5 "heads" out of a possible 10 is 0.246, or 24.6%.

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Answer:

Step-by-step explanation:

the axis of the parabola is x=0So the parabola is of the form (x−0)2=4a(y−6)Now the length of latus rectum =4a=4× the distance between focus and vertex =4×3=12Hence the parabola is x2=−12(y−

Let's solve for x and see what properties are used

First, add 10 to both sides of the equation

Now, divide by 5 on both sides of the equation

Therefore, the correct answer is C. Adition and division

The net pay for Lonnie Flanagan is $1065.

From the information, Lonnie weekly gross pay is $1250 and each week she has $64.37 in deductions, plus state tax of 2% of her gross pay, social security taxes of 6.2%, and Medicare taxes of 1.45%.

Her net pay will be:

= Gross pay - Deduction - Tax - Social security - Medicare

= $1250 - $64.37 - (2% × $1250) - (6.2% × $1250) - (1.45% × $1250)

= $1250 - $64.37 - $25 - $$77.50 - $18.125

= $1065

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The equation of the function g(x) is -√(x-7).

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PERIMETER:

You can calculate the perimeter of a triangle knowing the coordinates, by calculating the distance between every point, as follows:

Where x1=-4, y1=-1, x2=-2 and y2=2, replace these values:

Now, you have to do the same for the other segments, let's continue with LM:

Same for segment KM:

The perimeter can be calculated as KL+LM+KM:

AREA:

The area can be calculated by using the next formula:

Then, you have to replace the values to find the area:

Answer:

9 hours

Step-by-step explanation:

The sum  [tex]S_4[/tex] = 80

How is the summation calculated?

[tex]S_4= \sum_{k=1}^{4} 2(3^{n-1}) \\\\= 2 \sum_{k=1}^{4} (3^{n-1})\\\\=2[3^{1-1}+3^{2-1}+3^{3-1}+3^{4-1}]\\\\=2[3^{0}+3^{1}+3^{2}+3^{3}]\\\\=2[1+3+9+27]\\\\=2 [40]\\\\=80[/tex]

What is summation?

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In the question, we are asked to find the degree and the leading coefficient of the polynomial below

Explanation

The degree of the polynomial is the highest of all the degrees that make up the polynomial. Since each term in the polynomial has a degree we will pick the largest one.

Also, the leading coefficient is the coefficient of the term with the largest degree. Using these concepts, we can derive our answer as.

Answer:

Option A

Solution:

Factors of a number are defined as numbers that divide another number evenly or exactly without giving any remainder.

Hence,

The factors of 6 are the numbers that can divide 6 without any remainder.

From the above, we can deduce that the factors of 6 are also the factors of 30.

The corr

To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.

Now, find the area of each of the simpler figures, in these case, the rectangles:

Finally, find the sum of all these areas to find the area of the figure:

The area of the figure is 65.

20%

1) Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis

2) Therefore, the answer is 20%

Answer:

The correct option is B

Leroy reads 22.5 pages in 30 minutes

At the rate of 3 pages in 4 minutes

Explanation:

Given that Sam reads 30 pages of books in 40 minutes, he reads at the rate of 3 pages in 4 minutes (3/4 = 0.75).

To know which of the options has the same rate as Sam's, we need to find which rate is equal to his'

A. Francine reads 40 pages in 55 minutes

Rate = 40/55 = 8/11

B. Leroy reads 22.5 pages in 30 minutes

Rate = 22.5/30 = 0.75

C. Paul reads 150 pages in 3.25 hours. Since 3.25 hours = 195 minutes

Rate = 150/195 = 0.77

D. Bill reads 60 pages in 2 hours

Rate = 60/120 = 0.5

Based on the dimensions of the blueprint of the house, the area of the actual living room can be found to be 735 ft²

The first thing to do is to convert the dimensions on the blueprint to their actual figures.

If 1 inch on the blueprint is 7 feet, then the actual dimensions are:

= 3 inches x 7

= 21 feet

Dimension B:

= 5 inches x 7

= 35 feet

The area can then be found by:

= Dimension A x Dimension B

= 21 x 35

= 735 ft²

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Yes, The train does not always go the same distance each minute.

Given,

A train travels from City A to City B.

The distance and the amount of time it takes on the  train is

Distance (km)                        Time (in minutes)

6                                                      2

9                                                      3

14                                                     7

Now According to the question:

Does the train go the same distance each minute?

In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.

Average speed = total distance / total time

Hence Yes, The train does not always go the same distance each minute.

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