Answer:

Step-by-step explanation:
We know that f(-2)=7
x+4 = -2 <=> x = -6
so f(-6+4) = f(-2)=7
then the corresponding point is (-6,7)
Answer:
45 meters
Step-by-step explanation:
Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.
Units is represented as u.
Sum of all 3 sides= 95 m
4u +6u +9u= 95
19u= 95
u= 95 ÷19
u= 5 meters
Longest side= 9 units
Length of the longest side= 9(5) = 45m
For quite some time now, calculators have had statistical functions built in. Here we need to use the stat. function normalcdf, which has only two inputs when we're working with z scores instead of raw scores.
Here,
normalcdf(-100,1.25) = 0.894
This same result could be obtained using a table of z-scores.
Answer:
The inequality should be written as $2.50 times c is greater than or equal to c.
Step-by-step explanation:
First, identify what you know:
1) Each chocolate bar is $2.50
2) Sebastian needs to raise at least $500
So, Sebastian needs to sell at least enough chocolate bars to hit $500. The inequality cannot be written as less than or equal to, because he can't sell less than the number of chocolate bars needed to make $500.
Automatically, I can calculate the minimum number of bars he'll need to sell.
500/2.50 = 200 chocolate bars minimum
c must equal greater than or equal to $500, for Sebastian to raise enough money! So, basically Sebastian has to sell 200 bars OR more.
Hope this helps! :)
Answer:
|x-2| + |x+1| -5=0
⇒|x-2| + |x+1|=5
⇒x-2+x+1=5
⇒2x=6
⇒x=3
Step-by-step explanation: