Answer:
24y+24
Step-by-step explanation:
You multiply the number on the outside of the parenthesis with both the numbers on the inside of the parenthesis. The + stays the same.
4*6y=24y
4*6=24
Hope this helps!
The parent. function shifted up by 6 units to produce x + 1 and to the left by 9 units
<h3>What is translation?</h3>
This is a way of changing the position of an object on an xy-plane.
Given the parent function expressed as y = (x – 5)^2 + 7
From the resulting image after translation, we can see that the parent. function shifted up by 6 units to produce x + 1 and to the left by 9 units
Learn more on translation here; brainly.com/question/12861087
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Answer:
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Step-by-step explanation:
Let
x = cost of each gift basket
y = one time delivery fee
40x + y = 715 (1)
400x + y = 5935 (2)
Subtract (1) from (2)
400x - 40x = 5935 - 715
360x = 5220
x = 5220/360
x = 14.5
Substitute x = 14.5 into (1)
40x + y = 715 (1)
40(14.5) + y = 715
580 + y = 715
y = 715 - 580
y = 135
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Answer:
The first number is 20, the second one is 11
Step-by-step explanation:
Let the first number be x and the second number be y
Since it says "9 is the difference between two numbers", the first equation will be x-y=9
It also says that "their sum is 31". That means the second equation will be x+y=31
here are the two equations:
x-y=9
x+y=31
You can solve this any way you like, but I'll show elimination
add the two equations
x-y=9
x+y=31
2x=40
divide by 2
x=20
Substitute 20 as x in one of the equations
20+y=31
subtract 20 from both sides
y=11
That means the two numbers are 20 and 11
Hope this helps!
Answer:
t = 4 h
Step-by-step explanation:
Painter A initial fee 40 $ and each hour charge 45 $
Painter B initial fee 100 $ and each hour charge 30 $
The equations for painters are straight lines.
The initial fee is the intercept of the line with the y-axis ( painters receive 40 and 100 $ respectively and they have done nothing.
The equation for a straight line is:
y = m*x + b where m is the slope and b the intercept with the y-axis
Then
Painter A when x = 0 y = b = 40
And each hour of work cost 45 $ then f x = t in hours
The equation for Painter A is y = 45*t + 40
Similarly, the equation for Painter B is
y = 30*t + 100
We have a two equations system, the solution will indicate when the two painters will charge the same amount of money
y = 45*t + 40 (1)
y = 30*t + 100 (2)
Equation 1 - equation 2
0 = 15*t - 60
15*t = 60
t = 60/15
t = 4 h
