Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
The first term (a) is - 18
You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.
Formula
d = t4- t3
Givens
t4 = - 3
t3 = - 8
Solution 1
d = t4 - t3 Substitute
d = -3 - ( - 8) Remove the brackets
d = -3 + 8 Combine
d = 5 Difference
Remark
Find the general formula
tn = - a + (n - 1)d Substitute
So term 20 = Example
t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets
t20 = - 18 + 19*5 Combine 19 and 5
t20 = -18 + 95 "Subtract"
t20 = 77 Answer
Answer:
a. $45 an hour
b. 5.25 hours
Step-by-step explanation:
a. The plumber charges $75 per job, so it is irrelevant to the number of hours they work. 45(h) is $45 multiplied by the number of hours they work.
b.
First, plug the numbers into the equation, the cost being C(h):
311.25 = 45(h) + 75
Next, subtract $75 as it is a set price that is always payed:
236.25 = 45(h)
Then, divide both sides by 45 to find how many hours were worked:
h = 5.25
Hours = $5.25
Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
6x + 2(−2x + 1) = 22
This step can be used to solve by substitution method.
Answer:
20 square meters
Step-by-step explanation:
To do this continue the line of the top of the rectangle so you split the figure into a triangle and a rectangle. The dimensions of the rectangle would be 8 by 2, so 8 * 2 = 16. Next, the dimensions of the triangle would be (4 - 2) by (8 - 4) = 2 by 4. The area would then be 2 * 4 = 8/2 = 4.
All you have to do now is add those two areas together, 16 + 4 = 20 square meters.
