Choose the correct symbol for interval notation when a value is to be included in the solution
A. Parenthesis
ex
you had
x3 when x=8
it will be
(8)3
The line VS is middle line of that trapezoid, so you know that it is
VS= (WR+UT)/2
so we will get that it is:
<span>40= (x^2+2 +2x^2+3)/2
x = 5
Therefore,
x^2 + 2
5^2 + 2
25 +2
27 <----- OPTION 2
Hope this answers the question.</span>
The right answer is C)
Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)
B) Inconsistent. No solutions. (See Figure 2)
C) Consistent and Independent. (See Figure 3)
D) Consistent and dependent.
Answer:
x=-4
Step-by-step explanation:
Subtract x from 3x ( 2x )
2x+5=-3
Subtract 5 from -3 ( -8 )
2x=-8
Divide ( -4 )
x=-4
Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
