Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.

The speed of the tractor's tire by means of the information given is; 547.06.

According to the task content;

On this note, the speed of the tractor is;

Speed = (πr²) ÷ 4.5

Speed = (3.14×28²)/4.5

Speed = 547.06

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Answer:

46

Step-by-step explanation:

“the product of 6 and 9 decreased by 8"

“the product of 6 and 9" = 6 * 9

"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)

“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46

Answer:

x = 2 and x = 3

Step by step explanation:

[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]

[tex]\text{So, x = 3 is a solution.}[/tex]

The recursive definition for the geometric sequence is given as follows:

[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The recursive definition of a geometric sequence is given by:

[tex]a_n = qa_{n-1}[/tex]

In this problem, we have that the first term and the common ratio are given, respectively, by:

[tex]a_1 = 1.7, q = \frac{15.3}{5.1} = \frac{5.1}{1.7} = 3[/tex].

Hence the recursive definition is given by:

[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]

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Answer:

5

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Reasons:

1) It is a poor country

2) many economic and politic problems

3) public infracture is limited

4) education is not as advanced

5) creations of jobs is short

Answer:

D.9 cu.m

Step-by-step explanation:

measurements varies,so it is a cuboid

volume of cuboid= length×breadth×height

=3×1.5×2

=9 cu.m

Answer: mike traveled 34 miles

Answer:

the answer is a bc the 1 in this makes sense

Step-by-step explanation:

thats is the best answer i think

The approximate value of the correlation coefficient for the given graph is 5.

To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).

The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.

Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 35) / (6 - 0)

m = -30 / 6

m = -5

Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):

y = mx + b

35 = -5(0) + b

35 = b

So, the equation of the line is y = -5x + 35.

Now, we can use this line to calculate the correlation coefficient "r" for the given graph.

The correlation coefficient "r" is given by the formula:

r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)

where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.

Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.

So, the correlation coefficient (R) is:

R = √((-5)²) = √25 ≈ 5

Therefore, the approximate value of the correlation coefficient for the given graph is 5.

The correct option is: B. 5

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Complete Question:

What is the approximate value of the correlation coefficient for the given graph?

A. 1

B. 5

C. 3

D. -1

Answer:

0.01462069 cost per tablespoon

Step-by-step explanation:

a bag of sugar costs $2.12

145 tablespoons of sugar

145:2.12 is the ratio

1:x where x represents per tablespoon cost

2.12 / 145 = 0.01462069 which rounds up to 0.02

Check if it correct:

145 x 0.01462069 = 2.12

Answer:

2:3

Explanation:

We can simplify the ratio 600 : 900 by dividing both terms by the greatest common factor (GCF).

The GCF of 600 and 900 is 300.

Divide both terms by 300.

600 ÷ 300 = 2

900 ÷ 300 = 3

Therefore:

600 : 900 = 2 : 3

Answer:

2:3

Step-by-step explanation:

hope it helps :>

Answer:

Here is the solution...hope it helps:)

Answer:

1856, 1860, 1864

Step-by-step explanation:

add four to the previous year to get the year of the next elections

Answer:

1856, 1860, 1864

Step-by-step explanation: Pretty sure this is correct.

Answer:

1.021769

Step-by-step explanation:

(2 x 2^18 )/(329 + 512789)

=(2 x 262.144)/(513118)

=(524.288)/(513118)

=1.021769

Answer:

34.6

Step-by-step explanation:

In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side

There is only one formula which have these two sides

tan

tan∅ = opposite ÷ adjacent

tan 38° = 27 ÷ x

x = 27 ÷ (tan 38°)

x = 34.56

x≈ 34.6

Answer:

35

Step-by-step explanation:

put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.

Answer:

this one hard

Step-by-step explanation:

Answer:

The segment bisector is MN

Step-by-step explanation:

MN divides XY into two equal lengths

Answer:

what would make the lines perpendicular is using the first y as a another oart of the end of the second why

Step-by-step explanation:

y= = m2-6+8

Area:-

Answer:

408 ft²

Step-by-step explanation:

Given that,

→ Length (l) = 12 ft

→ Breadth (b) = 34 ft

Formula we use,

→ Area of rectangle = l × b

Then the area will be,

→ l × b

→ 12 × 34

→ 408 ft²

Hence, the area is 408 ft².

Answer:

A. 10.4

Step-by-step explanation:

180-128=52÷5=10.4

Answer:

[tex]\huge\boxed{\bf\: 140 \: dollars}[/tex]

Step-by-step explanation:

Flat fee = $20

Dollars charged per hour = $15

Dollars charged for 8 hours = ?

Dollars charged for 8 hours

= Dollars charged per hour × 8

= 15 × 8

= $120

Money made in total by Nicole

= Dollars charged for 8 hours + Flat fee

= $120 + $20

= $140

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Current price is $3,000

Price 10 years from today is $3,840

Step-by-step explanation:

[tex]3000( {1.025}^{10} ) = 3840.25[/tex]

Answer:

$15

Step-by-step explanation:

Range = Highest number- Lowest number

Range=20-5

=$15

Explanation:

If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.

For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.

Answer:

x^2 + y^2 = 49

Step-by-step explanation:

The equation of a circle is given by

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

(h,k) is the center of the circle and r is the radius

The circle is centered and (0,0) and the radius is 7

( x-0) ^2 + (y-0) ^2 = 7^2

x^2 + y^2 = 49

Answer:

The value of x in 15x=3, is 1/5 or 0.2

Answer:

  -4 < x ≤ -3

Step-by-step explanation:

The compound inequality needs to be separated into its two parts in order to obtain a solution.

__

We can do a little preliminary work to make the solutions easier.

  2x +6 ≤ x +3 < 3x +11 . . . . . given

  x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3

  x +3 ≤ 0

  x ≤ -3 . . . . . . . subtract 3

  0 < 2x +8

  0 < x +4 . . . . divide by 2

  -4 < x . . . . . . subtract 4

Now, we can rearrange these back into a compound inequality.

  -4 < x ≤ -3

_____

The graphing calculator shows the same solution.