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aalyn [17]
3 years ago
9

Mahesh charges $21.50 a month for cutting his neighbor's lawn. How much money will he make in a year? A. $258.00 B. $215.00 C. $

64.50 D. $21.50
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

A. $258.00

Step-by-step explanation:

There are 12 months in a year so you will simply have to multiply $21.50 by 12


21.50 x 12


258

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Plz help don’t understand
saul85 [17]

Answer:

Step-by-step explanation:

every time x goes up 1,  y goes up 4  

x = 3  minus x = 2  is a delta (a change of 1)

x = 4  minus x = 3  is a delta (a change of 1)

x = 5  minus x = 4  is a delta (a change of 1)

       the delta x is ALWAYS 1 for this table you can always substract x's to find the delta     delta is symbolized by Δ      Δx  for the delta x

y = 7  minus y = 3  is a delta (a change of 4)

y = 11  minus y = 7  is a delta (a change of 4)

y = 15  minus y = 11  is a delta (a change of 4)

    the delta y is ALWAYS 4 for this table you can always substract y's to find the delta     delta is symbolized by Δ     Δy  for the delta y

the slope m = Δy / Δx      m = 4 / 1     m = 4

     y = mx + b             when x = 0    then  y = b   (called the y intercept)

so how do we find the y intercept?    

look at the pattern in the TABLE  Δx  and Δy

   when x = 1    y = (3 - 4)  = -1

             x = 0    y =( -1 - 4)   = -5

so       y = 4x - 5     is a line equation for the data in this table

                                I believe there are other forms for linear equations

                               I chose the y-intercept form

use the point slope equation

       (y - y1)  =  m(x - x1)            where (x1, y1)  are the coordinates of a point on  

                                                the line

       when you know the slope of the line and a point on the line

       as before

       m = (y2 - y1)  / (x2 - x1)          from the table

           = (7 - 3) / (3 - 2)                 still equals

           = 4/1  =  4        

        pick a point on the line    say x= 4 and y = 11    (4, 11)

       (y - y1)  =  m(x - x1)    

        y - 11   =   4(x - 4)              point slope form

         solving point slope form  for  y

        y  - 11  =   4x - 16               add 11 to both sides    

           y  =  4x - 5                    back to the y-intercept form

7 0
3 years ago
The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the
kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0
2 years ago
Enter the x-coordinate of the solution to this system of equations
Kitty [74]

Answer:

equation 2into minus 3 into equation 1

8x+ 3y= -28

-3x-3y=18

----------------

5x=10

x =2

put value of y in equation 2

8 into 2+3y=-28

16+3y= -28

3y= -28+16

3y= -12

y= -4

5 0
2 years ago
The diagram shows corresponding lengths in two similar figures. Find the ratio of the perimeters and the ratio of the areas.
yaroslaw [1]
I hope this helps you

8 0
3 years ago
Read 2 more answers
The value of the expression -2 xy for x = -4.7 and y = 0.2 is _____.
sergeinik [125]

The value of the expression -2xy for x = -4.7 and y = 0.2 is 1.88. Thus option number 3 is correct.

<u>Solution:</u>

We have been given an expression that is -2xy and have been asked to find its value for the given values of x and y

The given values of x and y are -4.7 and 0.2 respectively.

To find the value of the expression for the given values of x and y we substitute the values of x and y in the given expression and solve it as follows:

Given expression = -2xy

\begin{array}{l}{=-2(-4.7)(0.2)} \\\\ {=9.4 \times 0.2} \\\\ {=1.88}\end{array}

Hence the option number 3 is correct.

4 0
3 years ago
Read 2 more answers
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