To find out how much the cafe made in March, we divided the amount made in April ($3,600) by 6 (as it's six times the earnings of March), which equals $600. Therefore, the cafe made $600 in March.
This question requires a basic understanding of division as it's used in solving problems. In this particular question, the cafe made $3,600 in April and it's stated that this is six times the amount they made in March. Therefore, to find how much was made in March, we simply do 3600 divided by 6, which equals $600. So, the cafe made $600 in March.
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Answer:
600 dollars
Step-by-step explanation:
3600 divided by 6
B.(5x - 1)(x + 6)
C.(5x - 3)(x + 2)
D.(5x - 2)(x + 3)
A metre = 100 centimeters.
If you say your desk measures 46cm:
100 - 46 = 54
Than you desk is 54cm less than a metre.
Hop eit helped,
Happy homwork/ study/ exam!
After 270 seconds, both cars will meet again at the startingpoint.
To find the time at which both cars meet again at the starting point, we need to find the least common multiple (LCM) of their lap times. The LCM is the smallest positive integer that is divisible by both lap times.
David's car lap time = 90 seconds
Chris' car lap time = 54 seconds
Now, let's calculate the LCM:
Find the prime factors of each lap time:
90 = 2 × 3² × 5
54 = 2 × 3³
Take the highest power of each prime factor:
LCM = 2 × 3³ × 5
= 2 × 27 × 5
= 270 seconds
So, after 270 seconds, both cars will meet again at the startingpoint.
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Answer:
h
Step-by-step explanation:
Equation F: a = 3b + 4
Which statement describes a step that can be used to find the solution to the set of equations?
Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.
Answer:
Equation F can be written as 5b + 1 = 3b + 4
Step-by-step explanation:
A set of equations is given below:
Equation E: a = 5b + 1
Equation F: a = 3b + 4
In substitution method we solve the equation for a variable and substitute it in other equation
Given a= 5b +1
Also equation F : a= 3b+4
both equation have 'a' on the left hand side
So we substitute 5b+1 for 'a' in second equation
Substitute 5b+1 in the place of 'a' in Equation F
Equation F can be written as 5b + 1 = 3b + 4
1. y = - (x + 4)2
2. y = - (x + 2)2 - 2
3. y = (x - 2)2
4. y = 2 - (x + 2)2
5. y = -x2
6. y = (x + 2)2
A. Reflected across the x-axis and the y-axis
B. Translated right by 2 units
C. Translated up by 2 units
D. Reflected across the x-axis
E. Translated left by 2 units
F. Translated down by 2 units
Always remember general rules of transformation.
1) Vertical Shift:
y= f(x)+k ; shifts the graph of f up k units if k>0, shifts it down |k| units if k<0.
2) Horizontal Shift:
y=f(x+h) ; shifts the graph of f left h units if h>0, shifts it right |h| units if h<0.
3) Reflection across x-axis
y= - f(x) ; reflect the graph of f across the x-axis.
Now,
The parent function is y= -(x+2)²
1. y= -(x+4)²
In this question +2 is added with x+2 and becomes y= -(x+2+2)²=-(x+4)²
So, according to rule 2 it will shift the parent function to the left by 2 units.
E is the correct option.
2. y = - (x + 2)² - 2
In this question, -2 is added to the parent function and we get y= - (x + 2)² - 2
So, according to rule 1, it will shift the graph down by 2 units.
F is the correct option.
3. y=(x - 2)²
In this question, two operations are performed on the parent function.
First one, -4 is added with x+2 so we get x+2-4= x-2
Second one, -1 is multiplied with parent function.
By performing the two operations at a time we get a new function which is
y=-(-(x+2-4)²)=(x-2)²
The first operation will translate the parent function 4 units right (according to rule 2).
The second operation will reflect the graph across x-axis(according to rule 3).
D and translation 4 units to right is correct option.
4. y= 2 -(x+2)²
In this question, we add +2 to the parent function so according to rule 1 it will shift the graph up by 2 units.
C is the correct option.
5. y= -x²
In this question, we add -2 to x+2 so we get a new function y= -(x+2-2)²=-x²
So, according to rule 2 it will shift the graph right by 2 units.
B is the correct option.
6. y= (x+2)²
In this question, -1 is multiplied with parent function and we get
y= -(-(x+2)²)= (x+2)²
So, according to rule 3 , graph is reflected across x-axis.
D is the correct answer.
The graph of parent function and question no. 1,2,3 are attached separately, while question no. 4,5,6 are attached in combined form(due to space limit).