If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
Answer:
Part 1) The y-intercept is the point 
Part 2) The x-intercepts are the points 
Step-by-step explanation:
we have
This is a vertical parabola open upward
step 1
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
The y-intercept is the point (0,-3)
step 2
Find the x-intercepts
we know that
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
solve for x
Adds 3 both sides
take square root both sides
so
The x-intercepts are the points
Step-by-step explanation:
That function is a line that goes through the origin (0,0).
You only need one more point to be able to draw it.
Take x=4,5 the corresponding value of y is exactly what you want to know, the number of miles the lava moved after 4,5 hours.
So y = 6 * 4,5 = 27
Your second point is (4,5 , 27).
Now you can draw your line.
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)
