Answer:
2, 4.5 and 8
Step-by-step explanation:
(1)
The mode is the number which occurs most often , then
mode = 2
(2)
The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.
1, 2, 2, 3, 4, 5, 6, 7, 8, 9
↑ middle
median = 
= 
= 4.5
(3)
The range is the difference between the largest and smallest values
range = 9 - 1 = 8
Answer:b=7
Step-by-step explanation:
To translate -5times b is not less than -35
It means
-5b>-35
To solve,divide through by -5
b=7
Answer:
a. (3x^4 + 6 ) + (2x^2)
b. (X^3 ) + (-x -7)
c. (4.6x^4) + (-1.5x^2)
Step-by-step explanation:
For the first one, we have to write to polynomials, which equal 3x^4 + 2x^2 +6
One possible solution is (3x^4 + 6 ) + (2x^2)
For b, we can do,
(X^3 ) + (-x -7)
And finally for c, we can write,
(4.6x^4) + (-1.5x^2)
(first step:
you must remember the following theorem :
Two lines whose slopes are m1 and m2, are perpendicular if and only if m1m2 = -1
(second step
you have one slope given and it is -2 then you substitute in the previous equation
(third step
m1*-2=-1⇒m1=-1/-2⇒m1= 1/2
it means that new slope of the equation is 1/2
(for step
with a given point and a the slope you can build the equation that is perpendicular to a line with slope -2
the equation point- slope is
y-y1=m(x-x1)
with any given point as (2,-5) substitute it in the previous equation
[y-(-5)]= 1/2(x-2)⇒ (y+5) = 1/2x-1/4⇒y-1/2x+5+1/4⇒y-1/2x+21/4 =0
(five step
you must look for the value of x in the following equation
y-1/2x+21/4 =0
where, y = 1/2X-21/4 and this is the equation that represents a line that is perpendicular to a line with slope -2
1.
2.
3.
4.
Comments:
We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality
If we multiply both sides by -2 we have to flip the sign as well:
And the inequality will remain true.
