All of them involve y intercepts
f(x) means y
g(x) means y
y intercept is where the graph crosses the y axis or when x=0 so set x=0
f(x)
x=0 when y=-7.5
y int=-7.5
g(x)
x=0
set x=0
y=3^0-7
y=1-7
y=-6
f(x) yint=-7.5
g(x) yint=-6
A. y int of f(x) is less than yint of g(x)
-7.5<-6
true
B. this is oposite of A so this is wrong
C. this says that g(x) has no yint, false
D. they yints are eqla
-7.5=-6
false
answer is A
Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or 
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.
They would need 34.125 tons of rations.
In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.
16,380/3 weeks= 5460 lbs per week
5460/520 soldiers = 10.5 lbs per soldier per week
Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.
10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week
Then we have to multiply by the 5 weeks that battalion will be there.
13,650lbs * 5 weeks = 68,250lbs of rations or 24.125 tons.
Answer:
(x+5)^2+(y-12)^2=256
Step-by-step explanation:
Comparing the given (x+5)^2+(y-12)^2=256
to (x - h)^2 + (y - k)^2 = r^2,
we see that h must be -5, k must be 12 and r must be 16. This is the desired equation of the circle with center at (-5, 12) and radius 16.
Step-by-step explanation:
___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power___is the capacity to influence
behaviour
Select one:
a. Self-interest
b. Coercion
c. Power
d. Potential
= Power
