Answer:
<h2>B) one solution</h2>
Step-by-step explanation:
Given the system of equations -4x - 5y = 5 and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.
-4x - 5y = 5... 1
-0.08x + 0.10y = 0.10... 2
Multiplying equation 2 by 100 will give -8x+10y = 10
The resulting system of equation will be;
-4x - 5y = 5 ...3 * 8
-8x + 10y = 10... 4 * 4
Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;
-32x-40y = 40
-32x+40y = 40
Subtracting both resulting equations to eliminate x will give;
-40y-40y = 0
-80y = 0
y = 0
Substituting y = 0 into equation 3 to get x we have;
-4x-5(0) = 5
-4x = 5
x = -5/4
The solution to the system of equations is (0, -5/4). This shows that the system of equations only <u>has one solution</u>
Answer:
b, y = 9x + 7
Step-by-step explanation:
Since the graph y = 9x + 10 is being "translated" 3 units down, that means the slope of the equation remains the same, but the y intercept is being moved 3 units down.
y = mx + b
y-intercept = b = 10
10 - 3 = 7
the answer is b, y = 9x + 7
Answer: The answer is A ($19)
Step-by-step explanation:
The total amount spent between the two person = $47.5
If Hector is represented by H
Francis represent by F
Therefore equation 1 = H + F = 47.5
H +F = 47.5 ..........(eqn 1)
From the question
Hector = Francis + 50% Francis
Translating this into an equation we get,
H = F + 0.5F ...... (eqn 2)
Substitute equation 2 into equation 1, we get:
(F + 0.5F) + F = 47.5
Thus 2.5F = 47.5
F = 47.5/2.5 = 19
Since Francis spend is represented by F, the amount spent by Francis is therefore $19 as obtained from our calculation.
Answer:
-11/15 is the greatest because ita in negative