Answer:
Step-by-step explanation:
<u>Given</u>
- ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
- ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)
<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>
It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
Answer:
$110
Step-by-step explanation:
Let the fixed amount charged be f and the amount charged to clean a room be r.
To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.
Writing this in equation form,
f + 6r = 250
In likewise manner, same applies for 8 rooms.
this gives f + 8r = 320
We now have 2 equations that we will need to solve simultaneously
f + 6r = 250........(i)
f + 8r = 320........(ii)
We subtract equation ii from I to yield
2r = 70, hence r = 70/2 = 35.
We now substitute this in equation 1
f + 6(35) = 250
f + 210 = 250
f = 250 - 210 = 40
Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.
We now calculate the amount charged by the company to clean 2 rooms.
This is mathematically = f + 2r
40 + 2(35) = $110.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
40% = 32/x
Rewrite using a decimal
.40 = 32 / x
Multiply both sides by x
.40x = 32
Divide both sides by .40
x = 32 / .40
x = 80
Write the full fraction
32/80
Answer 32/80
Answer:
6.375 cups of raisins
Step-by-step explanation:
The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.
So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:
(4.25 ÷ 2) × 3 = 6.375
