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pav-90 [236]
2 years ago
8

Write an inequality for the given statement:the sum of x and 25 is less than 75

Mathematics
1 answer:
tiny-mole [99]2 years ago
4 0

Answer:

x + 25 < 75; x < 50

Step-by-step explanation:

The inequality says the sum of x and 25 (written as x + 25) is less than (<) 75.

The inequality is written as: x + 25 < 75

My work for solving the inequality is in the picture.

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Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points
RoseWind [281]

Answer:

y = x/4 -1/2

Step-by-step explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

               = 0 - -1 / 2 - -2

               = 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

5 0
2 years ago
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A company builds computers. it cost $6700
lutik1710 [3]
Nice computer my dear sir
3 0
3 years ago
Mandy shaded the fraction strip below to represent a fraction Shade the fraction strip below so that it represents a fraction th
Aleksandr-060686 [28]

Your question is missing the figure, so the figure for your question is attached below:

Answer:

shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip

Step-by-step explanation:

As Mandy shaded the 3 trips out of the total six strips. It shows the fraction of  \frac{3}{6}

and \frac{3}{6}=\frac{1}{2}

To shade the given fraction strip so that it represents a fraction that is equivalent to Mandy's fraction strip, we should shade 2 stripes out of 4 that is equivalent to \frac{1}{2}

i.e. \frac{2}{4}=\frac{1}{2}

My Fraction Strip is equivalent to Mandy's Fraction Strip because both are equal to \frac{1}{2}

5 0
3 years ago
Find the area of the equilateral triangle
uranmaximum [27]

Answer:

Step-by-step explanation:

Suppose that the side length is s.  Imagine that one side is level.  Draw a vertical line through the top vertex perpendicular to the base (level side).  Label this vertical line "h."  Then h and s are related as follows:

                               √3          h

sin 60 degrees = ------- = --------

                                 2           s

                                                                   s√3

and so h = the height of the triangle =  -----------

                                                                       2

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

        (s^2)√3

A = ---------------

               8                                

8 0
3 years ago
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The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
denis23 [38]
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)

Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is f(x)=-0.03x^{2}+3x.
Plugging 15 and 35 in x, we can find the values of the function, i.e. 
f(15)=38.25 and f(35)=68.25.
Then, the average change is \frac{68.25-38.25}{35-15}=1.5
4 0
3 years ago
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