Answer:
Step-by-step explanation:
In this question, we're trying to make a new equation.
We know that:
- We translated 13 units down
When it says down, we know that the y intercept would be changing.
Since there werer no y intercept or beginning point to start with, we know that before we translated, it was at 0.
Since we went down 13 units, we're subtracting 13 units from our original spot.
This means that we're going down -13.
When you put that into an equation, it should look like this:
y= |x| - 13
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1/2 a pound per dog
3 1/2=3.5lbs
3.5÷7=.5
.5=1/2
Answer:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) = 
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = 
= 19
8 - 8 + 16 + k = 19
k = 3
p(x) = 
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) = 
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29
Answer:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Step-by-step explanation:
We are given the ratio:
Blue paint : Red paint =
8 : 5
Sum of proportion = 8 + 5 = 13
If the customer need 65 gallons of paint,
a) Number of gallons of blue paint needed =
8/13 × 65 gallons = 40 gallons
b) Number of gallons of red paint needed =
5/13 × 65 gallons = 25 gallons
Therefore:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
