What is the vertex of y = x^2 + 2x - 3.

Answer:

The centre is (-11, -6) and the radius = 18 units.

(Option 4).

Step-by-step explanation:

If we compare this with the standard form

(x - h)^2 + (y - k)^2 = r^2

- we see that the center is (-11, -6) and the radius id √324.

The center of the circle is at (−11, −6) and the radius is 18 units.

The equation of a circle in general form is (x - h)^2 + (y - k)^2 = r^2 where (h, k) are the coordinates of the center of the circle and r is the radius. Given the equation (x + 11)^2 + (y + 6)^2 = 324, we can see that it is in a similar form but with a positive sign in the brackets. This implies that the center of the circle is at (−11, −6) and that the radius is the square root of 324, which is 18 units.

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Answer: 2m(3m - 4n + 2)

Step-by-step explanation: Factor 4m - 8mn + 6m^2

                                                         6m^2 - 8mn + 4n

                                                         = 2m(3m - 4n + 2)

Answer:

I am so sorry

Step-by-step explanation:

I dont really know what it is but I think it is 21.98 you do 7 times 3.14

Answer:

Step-by-step explanation:

90⁰ counterclockwise

Answer:

8, 2, -4, -10.

Step-by-step explanation:

Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.

First term = a1 = 8 , so the second term = 8-6 = 2.

The first 4 terms are 8, 2, -4, -10.

This is an arithmetic sequence as there is a common difference of -6.

Answer:

[tex]221.4m^{3}[/tex]

Step-by-step explanation:

To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4[tex]m^{3}[/tex]

1) Multiply 12 by 4.1.

[tex]12*4.1=49.2[/tex]

2) Divide 49.2 by 2.

[tex]49.2/2=24.6[/tex]

3) Multiply 24.6 by 9.

[tex]24.6*9=221.4m^{3}[/tex]

Answer:

7.7

Step-by-step explanation:

Answer: $2.20 is more. The total is $7.70. But the question is what is 40% more, so $2.20.

Step-by-step explanation:

A permutation is an arrangement of a set of objects in a specific order. The number of permutations of 10 objects taken 10 at a time is given by 10!, which is equal to 3,628,800. Thus, there are 3,628,800 different 10-letter words that can be formed from the given letters.

Answer:

96 5/8

Step-by-step explanation:

because 96+5/8 is 96 5/8

Answer:

c = 4.24

Step-by-step explanation:

again, you have a^2+b^2=c^2

this time, all you have to do is substitute.

3^2+3^2=c^2

9+9=c^2

18=c^2

take the square root of both sides, you get c=(18)^1/2 or about 4.24.

To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.

Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:

Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:

So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.

Answer:

133/3=         147/5 =

  44              29.7

        44-29.7

14 pies can be made.

133/4              147/2

33.25               73.5

        73.5-33.25

40 jars of apple sauce can be made

(I rounded my decimals)

Step-by-step explanation:

3x+4y=133

5x+2y=147

3x+4y=133

-10x-4y=-294

-7x=-161

x=23

3(23)+4y=133

69+4y=133

64=4y

y=16

23 pies and 16 jars of apple sauce

Your answer would be the second option, (-4,5).

We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.

For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.

For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.

I hope this helps!

Answer:

(0,3)

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

(16+12x)=28

Since 4is a common factor in both terms we take out 4

4(4+3x)=28

Now take 4 to the other side

4+3x = 28/4 = 7

Similarly

3x = 7-4 =3

We end up with 3x=3

So X = 1

Answer:

A. yes

B. yes

C. no

Step-by-step explanation:

The coordinates of each point are (x, y).

J (-2, -3)

K (0, 2)

L (1, -4)

After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).

J (-3, -4.5)

K (0, 3)

L (1.5, -6)

1. decimal point 2. decimal 3. hundredth 4. 0.4 5. 1, 0.03 6. 80/100 0.80 7. 0.50 50/100 8. 60/100 0.60 the rest are easy

Final answer:

The cost of a single roll of toilet paper is $0.50, calculated by dividing the total cost of $48 by the number of rolls which is 96.

Explanation:

To find the cost of a single roll of toilet paper, we need to divide the total cost by the number of rolls. Craig bought 96 rolls of toilet paper for $48.

To calculate the cost per roll, we use the formula:

Cost per roll = Total cost / Number of rolls

So,

Cost per roll = $48 / 96 rolls

Cost per roll = $0.50 per roll

Therefore, the cost of a single roll of toilet paper is $0.50.

Answer: $60.00 (5 books), $60.00 (6 books), $32.00 (4 books) is the data set. The answer, when used in a calculator, is 3.3777777777. From this result, I would say B or $3.25 per book.

The correct answer is option B) $2.75.

The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

By applying the formula

= 40/15

≅ 2.75

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

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1. Find the surface area

Side = 5 cm

Surface area = 6s²

= 6 × 5²

= 6 × 25

= 150 cm² (C)

2. Find the surface area

Side = 10 in

Surface area = 6s²

= 6 × 10²

= 6 × 100

= 600 in² (C)

Hope it helpful and useful :)

Answer:

43

Step-by-step explanation:

Answer:

Answer is 43.

Step-by-step explanation:

First off the "of" in the question implies that the two are multiplying but before you do that your expected to get 86 percent into decimal form which is .86 once that is done you can multiple that by 50 giving you 43

Answer:

BC=15.01

Step-by-step explanation:

Line segment BC can also be represented by '?'. To solve for BC, find the value of '?'

Use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Because you need the value opposite the given angle and you are given the length of the side adjacent the given angle (hypotenuse does not count as the adjacent side, EVER (btw)). Let 65° be X and let x replace'?'.Insert the appropriate values:

[tex]tan65=\frac{x}{7}[/tex]

Solve by isolating x. Multiply 7 to both sides:

[tex]7*(tan65)=7*(\frac{x}{7})\\\\7*tan65=x\\\\x=7*tan65[/tex]

Insert this equation into a calculator:

[tex]x=15.0115...[/tex]

Round to the nearest hundredth:

[tex]x=15.01[/tex]

So, BC is 15.01

Finito.

Answer:

it is 2, 4, AND 5:)

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Answer:

hi :)

Step-by-step explanation:

Answer:

190 ft^2

Step-by-step explanation:

Area of base of cube = 5x5x2

Area of sides of cube = 5x4x4

Area of triangle top = 5x6/2 then x4

Hope this helps! Good luck :)

Answer:

pretty sure its 49ft

Step-by-step explanation:

because 5x5 =25 and 6x4=24 and that equals 49ft

Answer:

1 cup = 8 ounces

21 x 8 = 168

168 ounces

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

1 cup equals 8 fluid ounces

Just multiply 21 by 8 and you get your answer

Answer:

120,500

Step-by-step explanation:

300×400=120,000

120,000+500=120,500

300 × 400= 120000

120000+500= 120500