Answer:
(5,6)
Step-by-step explanation:
<em>Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;</em>
g(X, Y) = (x+a, y+b)
To the right is along the positive x axis while up is along the positive y axis
Given a = 3 and b = 4
g(X,Y) = (2 + 3, 2 + 4)
g(X, Y) = (5, 6)
Hence the resulting coordinate of g is (5,6)
Answer:
13 weeks
Step-by-step explanation:
Given that :
Cost of new tub = $312
Planned saving per week = $24
The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :
Number of weeks = cost of new tub / weekly saving
Number of weeks = $312 / $24
Number of weeks = 13 weeks
The volume of the <span>goldfish pool is V= 0.5ft x 1.5ft x 3ft=2.25 ft^3
so 7.5gallons ----------> 1 ft^3
x=? <----------- </span>2.25 ft^3
<span>x= 2.25 x 7.5 / 1= 16.87 gallons
the answer is </span>16.87 gallons of water <span>
</span>
Answer:
Step-by-step explanation:
Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.
Answers: b, d and e
b.The graph has a relative minimum
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f(x)=(x+5)(x-3)
The given equation is in the form of f(x) = a(x-b)(x-c)
If 'a' is positive then graph has a relative minimum
If 'a' is negative then graph has a relative maximum
Here a=1 that is positive so graph has a relative minimum .
To find x intercept we set f(x) =0 and solve for x
0=(x+5)(x-3)
x+5 =0 -> x = -5 so x intercept is (-5,0)
x - 3=0 -> x= 3 so x intercept is (3,0)
To find y intercept we plug in 0 for x
y=(x+5)(x-3)
y=(0+5)(0-3) = -15
so y intercept is (0,-15)
