What are the coordinates of the vertex for
f(x)= 3x^2 +6x+3:
(-1,0)
(3.6)
(0,-1)
(6,3)

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

Answer:

9/25

Step-by-step explanation:

Don't worry, I just took this test and got it correct. Best of luck to you all!

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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Answer:

D= [-4,-1) U (2,4)

R = [-3,5)

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

1 / 6

Step-by-step explanation:

If the probability distribution has the probabilities :

5/12, 1/6, 1/4 and x

Then ;

The total sum of all the probabilities should be equal to 1 ;

That is ;

5/12 + 1/6 + 1/4 + x = 1

Lcm of 4, 6, 12 = 12

(5 + 2 + 3)/12 + x = 1

10/12 + x = 1

x = 1 - 10/12

x = 2 / 12

x = 1/6

Answer: 60

Step-by-step explanation:

The percentage increase round your answer to the nearest whole percent is 3%

Given the following:

Exchange rate in 2016 = 0.92055

Exchange rate in 2017 = 0.95058

Increment in rate = 0.95058 - 0.92055

Increment in rate = 0.03003

Get the percentage increase:

Percentage increase = Increment/Exchange rate in 2016 × 100%

Percentage increase =  0.03003/ 0.92055  × 100%

Percentage increase = 0.0326 × 100%

percentage increase = 3.26%

Hence the percentage increase round your answer to the nearest whole percent is 3%

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Answer:

Video Game A: $27

Video Game B: $12

Step-by-step explanation:

First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.

The number of extra tables that you need to double the original seating capacity will be 7.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The seating capacity y for a banquet hall is represented by y = 8x + 56, where x is the number of extra tables you need.

If the no extra table is there. Then the value of 'y' will be

y = 8 (0) + 56

y = 56

Then the number of extra tables do you need to double the original seating capacity will be

8x + 56 = 2 × 56

8x = 56

x = 7

Then the number of extra tables that you need to double the original seating capacity will be 7.

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Answer:

Step-by-step explanation:

You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse   ⇒   r = 15·sin(72°) ≈ 14.3

  Cos = Adjacent/Hypotenuse   ⇒   s = 15·cos(72°) ≈ 4.6

The acute angles in a right triangle are complementary, so ...

  S = 90° -R = 90° -72° = 18°

Answer:20+4√17

Step-by-step explanation:

2 of 3 sides are 16 and 4 units . The angle between them is 90 degrees.

So we can find the length of the third side using Pitagor theorem.

c= SQRT( 16²+4²)= sqrt (256+16)= sqrt (272)

So the perimeter of the shaded triangle is equal to

P= 4+16+sqrt(272)=20+4√17

The radical expressions for the perimeter of the shaded triangle is  20 + 4√17

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a rectangle shown in the picture with dimensions.

Using Pythagoras theorem;

The inclined length = √(4²+16²) = √272 = 4√17

The perimeter of the shaded region = 16 + 4 + 4√17

Perimeter = 20 + 4√17

Thus, the radical expressions for the perimeter of the shaded triangle is  20 + 4√17

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The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.

The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.

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It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

I do not know

Step-by-step explanation:

Answer:

a) The store which provides the lowest total costs is:

True Builders

b) The cost without sales tax is:

$407.48

Step-by-step explanation:

Data and Calculations:

Product                Quantity       True Builders               Quality Suppliers

                                               Price          Costs             Price          Costs

Bricks                      120        $2.20       $264.00         $2.25      $270.00

2 x 4 boards            40 ft     $0.75            30.00         $0.70           28.00

1 x 6 boards           120 ft     $0.60            72.00         $0.65           78.00

2 x 6 boards           30 ft     $0.80            24.00         $0.80           24.00

Paint                        2 gal.    $15.50           31.00         $11.25          22.50

Paint Brushes         2           $7.50            15.00          $9.75           19.50

Total costs                                           $436.00                          $442.00

Imputed Sales Tax of 7%                        28.52                              28.92

Without Sales Tax                              $407.48                           $413.08

Answer:

Quality Supplies 442.00

Step-by-step explanation:

Answer:

98 = 2w + 2L,

L = 3w

Step-by-step explanation:

Use the perimeter formula:

2) Perimeter = 2w + 2L (where w is the width and L is the length)

Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

Perimeter is equal to 98 so,

98 = 2w + 6w = 8w

W = 98/8

Therefore w is 12.25, and L is 36.75

Answer:

yr 6: 6th grade

yr 7: 7th grade

yr 9: 9th grade or freshmen yr

Step-by-step explanation:

If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

Answer:

Joe

Step-by-step explanation:

Step-by-step explanation:

Put both of the equations into   y = mx + b form to compare them

                   m = slope    if they have the same slope they are parallel and do not intersect

                    b = y axis intercept

                  if m and b are equal in each of the equations , they are the same line

2x+y = 0   ======>   y =  - 2x + 0

2y = -4x + 6  ====>   y =  - 2x + 3

The both have the same slope = -2   so they are parallel

   but they have different  b  values so they are not the same lines

No intersection means no solution :   parallel  lines do not intersect  

Answer:

1)\(y=3x-1\)

2)\(y=\frac{-1}{5}x+4\)

3)\(y=5x-3\)

4)\(y=3\)

5)\(y=\frac{3}{4}x+6\)

6)\(y=2x-10\)

7)\(y=\frac{3}{2}x+4\)

8)\(y=2\)

9)\(y=\frac{1}{3}x+3\)

10)y=\(y=\frac{-1}{ 2}+4\)

*NOTICE* Some of the numbers on your picture are blurry, so the numbers might be slightly wrong *NOTICE*

Step-by-step explanation:

I assume that this is asking you to write the simplest equation.

The three formulas you need are the slope formula, the point-slope formula and the linear equation.

Slope formula is \(\frac{y2-y1}{x2-x1}\) , Point slope is y-y1=m(x-x1), where m is the slope and y1 and x1 come from a point, and linear equation is y=mx+b. Where m is the slope, and b is the y-intercept.

1)Slope=3, and y-intercept=-1, so y=3x-1

2)Slope=-1/5, and y-intercept=4, so y=-1/5x+4

3)Slope=5, and it goes through the point (2,7), so y-7=5(x-2) you distribute the 5 to get y-7=5x-10, and you add the 7 to get y by itself to get y=5x-3

4)Slope=0, and it goes thorough point (-3,3), so y-3=0(x+3). Distribute the zero to get y-3=0. Add thee to get y by itself to get y=3

5)slope=3/4, and it goes through point (0,6), so (0,6) shows that the y-intercept=6. y=3/4x+6

6)Goes through points (6,2) and (5,4), so you use the slope formula to get \(\frac{4-2}{6-5}=\frac{2}{1}=2\). y-2=2(x-6), and you distribute the 2 to get y-2=2x-12. Add two to get y by itself, and you get y=2x-10.

7) Goes through (0,4) and (2,7). Slope formula \(\frac{7-4}{2-0}=\frac{3}{2}\). (0,4) shows the y-intercept=4. y=3/2x+4.

8)Goes through points (-3,2) and (8,2). Slope formula \(\frac{2-2}{8-(-3)}=\frac{0}{8+3}=0\). Point-slope to get y-2=0(x-3). Distribute 0 to get y-2=0. Add 2 to get y by itself to get .

9)Goes through points (-6,1) and (-3,2). Slope formula \(\frac{2-1}{-3-(-6)} =\frac{1}{-3+6} =\frac{1}{3}\) . Point-slope to get y-1=1/3(x+6). Distribute 1/3 to get y-1=1/3x+2. Add 1 to get y by itself to get \(y=\frac{1}{3}x+3\).

10)y-intercept=4 and goes through point (2,3). Turn y-intercept into point (0,4). Slope formula. \(\frac{3-4}{2-0}=\frac{-1}{2}\) . With y-intercept=4, \(y=\frac{-1}{2}x+4\)

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

that makes no sence at all i read it over 3 times and still font understand a word of it

sorry :(

In coin changing problem,  the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.

The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.

But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.

Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.

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