1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zheka24 [161]
3 years ago
7

What would you guess the mean of the

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

3

Step-by-step explanation:

add up all data values to get the sum count the number of values in your data set divide the sum by the count

You might be interested in
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

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

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
David rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 98 cents for each mile
Nadusha1986 [10]
136.51=16.95+.98x

119.56=.98x

x=122
3 0
2 years ago
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Nookie1986 [14]

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

6 0
2 years ago
Read 2 more answers
Find the slope of the line tangent to the
g100num [7]
Ln(xy) - 2x =0

slope of the tangent line = derivative of the function

[ln(xy)]' = [2x]'

[1/(xy)] [y + xy'] = 2

y + xy' = 2(xy)

xy' = 2xy - y =y(2x-1)

y' = y(2x-1)/x

Now use x = -1 to find y and after to find y'

ln(xy) = 2x
x=-1
ln(-y) =-2

-y = e^-2

y = - e^-2

y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2

Answer: option 6. from the list
8 0
3 years ago
Ollie drank 3/4
natita [175]
There are 4 ounces left because 1/4 is 4 and 3/4 would be 12. 16-12 = 4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the mean,median, and mode of the data. Choose the measure that best represents the data. Explain the reasoning.
    8·1 answer
  • 20 POINTS!!! PRG corporation pays 62 is its employees a salary of $30,000 a year. They pay their 3 executives a salary of $125,0
    9·1 answer
  • Which results from a cross section made perpendicular to the base of a square pyramid? Check all that apply.
    15·1 answer
  • Focus on number two ok
    13·2 answers
  • Subtracting 3xy2 from 8xy2 gives the same result as the expression
    5·1 answer
  • Find the area of A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is
    7·1 answer
  • The chess club members bought six tickets to a tournament for $15. how much would they have paid if all nine members wanted to g
    12·1 answer
  • Indicate the method you would use to prove the two triangles equal or congruent. If no method applies, enter "none".
    8·1 answer
  • Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and
    12·2 answers
  • Which two answer choices below would give you a value of 3 times larger than (820 + 220)?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!