Answer:
The expression is
y = -17*x + 8
Which is already in the slope intercept form
y = m*x + b
Where m is the slope and b is the y-intercept.
The slope
m = -17
The intercept
b = 8
Please see attached picture for graph
Answer:
0.24 kg
Step-by-step explanation:
Remember that
To find out how much extra soap powder will be given away with the package, multiply the original weight by the percentage in decimal form.
so
Answer:
11/3
Step-by-step explanation:
3 2/3
3 × 3 + 2/3
9 + 2/3
11/3
Answer:
27
Step-by-step explanation:
Let the two numbers, smaller be x and larger be y.
As per statement, one number is 3 less than a second number.
x = y - 3…Eq..1
Twice the second number is 3 less than 3 times the first.
3x = 2y + 3…Eq..2
Now putting the value of x from Eq..1 to Eq…2
3x = 2y + 3
3 (y - 3) = 2y + 3
3y - 9 = 2y + 3
3y - 2y = 3 + 9
y = 12
The larger number is 12.
Now putting the value of y in Eq. 1 to get the value of x
x = y - 3
x = 12 - 3
x = 9
The smaller number is 9
Answer the two numbers, smaller is 9 and larger is 12.
To check the correctness of answer, substituting the derived values of two numbers in the Eq…2
3x = 2y + 3
3 × 9 = 2 × 12 + 3
27 = 24 + 3
27 =27
*5% in decimal form is 0.05.
After one week we have:
N=400*1.05 beetles
After two weeks we have:
N=(400*1.05)*1.05 beetles
After three weeks we have:
N=((400*1.05)*1.05)*1.05 beetles
We can write this as:
Week 1:
Week 2:
Week 3:
From this we can make conclusion that formula for number of beetles after w weeks is given by: