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Volgvan
3 years ago
12

State when the following equations and inequalities will be true and when they will be false.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

' 36 = 9k ' is not an inequality.  It's an <u>equality</u>, usually called an <em><u>equation</u></em>.

It's true whenever 'k' is 4, and false at any other time.

(You can determine that simply by dividing each side of the equation by 9.)


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Graph: y - 3 = 1/2 ( x + 2 )
Slav-nsk [51]

Step-by-step explanation:

(1) Create a table containing a few values of x and y

y - 3 = ½(x + 2)

   y = ½(x + 2) + 3

x     y

-10    -1

-6      1

0      3

6      7

10     9

(2) Plot your points

Draw dots at the coordinates of each point.

(3) Draw the graph

Draw a smooth line through the points.

Extend the line in both directions to the edges of the plot area.

Your graph of y - 3 = ½(x+2) should look like the figure below.

Have a beautiful day!

8 0
2 years ago
Read 2 more answers
Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0
2 years ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
Wittaler [7]

Answer:

Initial value 12, rate of change: -2

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to  

m=\frac{y2-y1}{x2-x1}  

we have

A(1,10)\ B(2,8)  

Substitute the values  

m=\frac{8-10}{2-1}

m=-2  ----> rate of change

Step 2

Find the initial value

The equation of  the line into slope-point form is equal to

y-y1=m(x-x1)

Substitute

y-10=-2(x-1)

y=-2x+2+10y=-2x+12

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

y=-2*0+12=12----> initial value

7 0
3 years ago
Read 2 more answers
4x+3x-5x-5+5x+5x-x3+x2-8x+2x+7-5x
Yuri [45]

1.) Group like terms: 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x-5+7

2.) Add similar elements: = 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x=0

3.) =-5+7

4.) Add/Subtract the numbers: -5 + 7 = 2

<u>Your Answer: 2</u>

5 0
3 years ago
RIGHT ANSWERS ONLY!!!!!!!
Goryan [66]
3/5 is the answer! I hope this helps!
3 0
3 years ago
Read 2 more answers
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