Answer:
b. 
f. 17 hours
Step-by-step explanation:
Charges for coming to my house = $68 (this will be the constant of the equation)
Amount charged per hour labor = $17
hours = h
Total amount paid to Mike = 357
The equation that represents this situation can be expressed as:
Solve for h
(subtraction property of equality)
(division property of equality)
Mike was in my house for 17 hours.
Answer:
Conversion and substitution
Step-by-step explanation:
One way to find out if the expression is true, we can convert all the percentages into their decimal equivalence.
60% = 0.6
10% = 0.1
6% = 0.06
Now let's substitute the values.
0.06 = 0.6 x 0.1
0.06 = 0.06
Since 0.06 is equal 0.06, this then proves that it is true.
Answer:
w = -3
Step-by-step explanation:
8w + 12 = -12
use inverse operations:
8w + 12 = -12
-12 -12
8w = -24
/8 /8
w = -3
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)
Answer:
3y + 2x = 5
Step-by-step explanation:
3x-2y = -2
2y = 3x + 2
y = (3/2)x + 1
Slope is 3/2
Slope of the Perpendicular line is -2/3
y = (-2/3)x + c
x = -2 , y = 3
3 = (-2/3)(-2) + c
3 = 4/3 + c
c = 3 - 4/3 = 5/3
y = (-2/3)x + 5/3
3y = -2x + 5
3y + 2x = 5
