what is true about the equation y = 4x2 + 28x + 49

Answer:

I would use box-and-whisker plots to compare the two sets of prices. The plots will show the ranges, which is the difference least and greatest data points. Also, the medians will divide each set of data into 4 equal groups. Comparing these middle values and range of prices in each group will show how similar the prices are.

Step-by-step explanation:

used this son my test and it was right.

Answer:

a = 9m

Step-by-step explanation:

You can take the volume of the water tank as the volume of a cube.

The volume of a cube with side a is given by:

V=a*a*a = a^3

To find the value of a you do a the subject of the formula:

a=(V)^{1/3}

You replace and obtain for a:

a = (729m^3)^{1/3} = 9m

hence, the rim a of the water tank is 9m

Answer: The side of the tank is 9 m.

Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.

To calculate Volume of a cube:

V = length*width*height

Knowing that volume is 729 and assuming sides are x:

x*x*x = 729

x³ = 729

x = [tex]\sqrt[3]{729}[/tex]

x = 9

The volume is in cubic meters, so sides of the tank measures 9 m.

Step-by-step explanation:

In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

tan 40 = x / 18

x = 15.10 ft

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Answer:

Step-by-step explanation:

C

Answer:

235.2

Step-by-step explanation:

147 * 1.60 -> this way is an all in one calculation but to double check you can take 60% of 147 (147 * .60 = x ) and add that value to 147 so... 88.2+147=235.2

Answer:

88.2

Step-by-step explanation:

So all you have to do is this 147 * .60 = 88.2

Answer: The area of one wall is  216.72 ft^2.

Step-by-step explanation:

16.8 *  12.9 = 216.72

Answer:

hosta = $5 each

geranium = $2 each

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Leas's cost: 11 h + 7 g = 69

Elisa’s cost: 10h + 7g = 64

Where h is the price of one hosta and g is the price of one geranium.

Subtracting Elisa's cost to Leas's cost:

11 h + 7 g = 69

-

10h + 7g = 64

____________

h = $5

Replacing h in one equation:

11 (5) + 7 g = 69

55 +7g =69

7g = 69-55

7g= 14

g= 14/7

g= $2

Answer:

14. 14.86 (simple subtraction)

15. 4 dollars (156/39 = 4)

18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)

19.14 (3.5/0.25)

20. A(understanding question contex)

25. 3a + 3b or C (add all the a's and b's together)

26. 5 (Divide apples by 3)

28.C(multiply all the sides together)

29. A (12/7 is fraction form of 12 : 7)

30. C (rate is 20 so 6 * 20 = 120)

31. D

Hoped this helped, this took a while to do :)

Answer:

independent is the time. time does change throughout the experiment.

Dependent is texting speed as it can vary.

hope this helps :)

Answer:

2x - 5

Step-by-step explanation:

2x^3 + 4x = 2x(x^2 + 2)

-5x^2 - 10  = -5(x^2 + 2)

so the factors are  (2x - 5)(x^2 + 2).

Answer:

2

Step-by-step explanation:

[tex]log_{7}[/tex] 49 = x can be reformatted to [tex]7^{x}[/tex] = 49. Solve for that and x =2.

Answer:

[tex]\frac{64}{27} cm^3[/tex]

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume =  [tex]\frac{64}{27} cm^3[/tex]

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The area if base x height

8 x height = 96

Divide both sides by 8 to find the base size:

96 / 8 = base

base = 12

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Answer:

263

Step-by-step explanation:

Let the number = xyz

The 6 has a digit on its left and on its right. It must be the middle number.

y = 6, so the number is x6z.

The 2 is not the last digit. It must be the first digit.

x = 2, so the number is 26z.

The remaining digit — 3 — must be the last digit.

z = 3, and the number is 263.

The mystery number is 263.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let the three digit number be xyz.

The digits are 3,6,2.

The mystery number can be found as

Hence we can conclude that the mystery number is 263.

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Answer:

78 apples for 12 pies

Step-by-step explanation:

we use 13 apples for 2 pies

she makes 12 pies

6x2 = 12 pies

so we do 13x6

13x6=78

78 apples for 12 pies :)

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Answer:

13/2 = 6.5

12 x 6.5 = 78

? = 78

13/2 = 78/12

Step-by-step explanation:

13 apples ÷ 2 pies = 6.5 apples per pie

12 pies x 6.5 apples per pie = 78 apples for 12 pies

? = 78 apples for 12 pies

13/2 = 78/12

Answer:

The slope is  

m =5

The y-intercept is  

b =-7 or (0,7)

Step-by-step explanation:

Answer:21 cents

Step-by-step explanation:5.25 divided by 25 is 21

Answer:

AC = 3.06

Step-by-step explanation:

Answer:

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

Answer:

105 degrees

Step-by-step explanation:

The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.

28 + 47 + x = 180

75 + x = 180

75 - 75 + x = 180 - 75

x = 105

Answer:

105 degrees

Step-by-step explanation:

28+47=75

180-75=105

Answer:

7.4%

Step-by-step explanation:

find percentage of the tax

(total cost=$388.80)

28.80 out of 388.80

=28.80*100/388.8= 7.4%

Answer:

2/3

Step-by-step explanation:

2nd term = 2/5

5th term = 16/135

Nth term for any series is given by [tex]a r^n-1[/tex]

where a is the forst term

r is the common ratio

for 2nd term

[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]

for 5th term

[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]

Since we have to eliminate a  and find r .

we can divide 5th term by second term

then we get the following equation

[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]

\

Thus, common ratio is 2/3.

Answer:

R = 35.0

Step-by-step explanation:

We know tan theta = opp/ adj

tan R = r/s

tan R = 7/10

Take the inverse tan of each side

tan ^-1 tan (R) = tan ^-1 (7/10)

R =34.9920202

R = 35.0

Answer:

A. 35º

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

divide 10.5by 35/100

Answer:

7 meters

Step-by-step explanation:

Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.