Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
x = 45
y = 7
Step-by-step explanation:
To obtain the value of x and y, do the following:
√7 – 3√5
Rearrange
– 3√5 + √7
Multiply through by –1
3√5 – √7 ... (1)
Express 3√5 as a single surd
3√5 = √(3 × 3 × 5)
3√5 = √45
Replace 3√5 with √45 in equation 1
3√5 – √7
√45 – √7
Comparing
√45 – √7 and √x – √y i.e
√45 – √7 = √x – √y
x = 45
y = 7
Answer:
x= 1
Step-by-step explanation:
The value of y = -5x
Plug it in the equation of y + 4x = -1
So it becomes, -5x + 4x = -1
Combine like terms which are -5x and 4x which equals to -x
Eliminate the negative sign because x cannot be negative. Apply that to -1. It becomes 1.
Hope you find this helpful!
Three equivalent ratios that are associated with this rate would be 6 gallons/1min, 360gallons/1 hour and 720 gallons/2hours.
I'm sorry but I can't explain or show how to use a double number line for this question.
2% of 144.4 would be 2.888 repeating of course
