x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
Answer:
we conclude that the cost of 100 pencils = $11
Step-by-step explanation:
Brianna can buy 14 pencils for $1.50 at the school store.
so
unit rate = $1.50 / 14 pencils
= 0.11 USD per pencil
Thus,
The cost of 1 pencil = $0.11
The cost of 100 pencils = $0.11 × 100
= $11
Therefore, we conclude that the cost of 100 pencils = $11
Answer:
Step-by-step explanation:
= x - 5 ( x ≥ 3 )
( )² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
= 7
= 4
Check the answer:
1). x = 7
= 7 - 2
√4 = 2
2 = 2
2). x = 4
= 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
Answer:
A. 400
Step-by-step explanation:
initially have 50 pounds after 6 hours, doubles to 100. 6 (12 total) more hours 100 doubles to 200. after another 6 (18 hours) 200 doubles to 400.
Answer:
The greater unit rate of the two functions is the first function shown by the table and the greater y intercept is the second function shown by the graph.
Step-by-step explanation:
Find the slope of both equations
(15-5)/(5-0) = 2
(6-0)/(0+4) = 3/2
2>3/2
y-intercept is where the function crosses the y axis, function 1 y-intercept is 5 and the y-intercept of function 2 is 6, 6>5
