Answer:
x >= 7 OR x < -8
n <= -3 AND n > -6
Step-by-step explanation:
15) 7x - 6 >= 43 OR 10x + 4 < -76
7x >= 43 + 6 OR 10x < -76 - 4
7x >= 49 OR 10x < -80
x >= 7 OR x < -8
you can draw based on this
for >= it is full dot for < it is like circle on the graph
you have to draw both x>= 7 , x < -8 on the same line because it is OR
so both ranges of x are possible
21) 3 + 2n <= -3 AND 1 - 3n < 19
2n <= -3 -3 AND -3n < 19 - 1
2n <= -6 AND -3n < 18
n <= -3 AND 3n > -18
n <= -3 AND n > -6
so it lies between -6 and -3
u can refer pictures below
Answer:
option (3) is correct.

Step-by-step explanation:
Given 
We have to solve for e.
Consider the given statement,

Cross multiply, we get,

Taking square root both sides , we get,

We know square root of 9 is 3.

Thus, option (3) is correct.

Answer:
x=-5
Step-by-step explanation:
opening the bracket on the LHS, we have
-8x-40= -3x+x-7-3
-8x-40= -2x-10
collecting like terms
-8x+2x= -10+40
-6x= 30
divide both sides by -6
x= -5
Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = 2x + 10 ← equation of line
Answer:
The equation for the trend line would be y = -1/100x + 25
Step-by-step explanation:
In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - 25)/(2500 - 5)
m = -25/2500
m = -1/100
Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.
y = mx + b
y = -1/100x + 25