$29.17 is the correct answer BTW
34 times three minus 174.83 is how I got the answer not division (:
Answer:
Step-by-step explanation:
there are two ways to solve systems of equations, elimination or substitution, this looks like elimination would work quickly
x= 25 -y
x + y = 25 (eq 1)
5x + y = 10 (eq 2)
subtract 2 from 1
x + y = 25
-(5x + y = 10)
-4x + 0y = 15
-4x = 15
x = - 15/4
now plug in x into either starting equations and solve for y
-15/4 + y = 25
y = 25 + 15/4
y = 100/4 + 15 /4
y = 115 /4
y = 28 3/4
we have solved it :)
Answer:
y-3 = -7/8(x+1)
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (3 - -4)/(-1 -7)
= (3+4) / (-1-7)
= 7/ -8
= -7/8
The point slope form of a line is
y-y1 = m(x-x1)
y - 3 = -7/8( x - -1)
y-3 = -7/8(x+1)
For (5, -2): -2 - 4(5) = -2 - 20 = -22 ≤ -5 [false]
For (-2, 1): 1 - 4(-2) = 1 + 8 = 9 ≥ -5 [true]
For (-4, 2): 2 - 4(-4) = 2 + 16 = 18 ≥ -5 [true]
For (1, -1): -1 - 4(1) = -1 - 4 = -5 ≥ -5 [true]
For (4, 0): 0 - 4(4) = 0 - 16 = -16 ≤ -5 [false]
Therefore, options B, C, and D satisfy the inequality.
Answer:
12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.
Step-by-step explanation:
Expand the following:
3 x^2 (4 x^2 + 6 x - 3)
3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):
3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2
3 (-3) = -9:
3 4 x^2 x^2 + 3 6 x^2 x + -9 x^2
3 x^2×6 x = 3 x^(2 + 1)×6:
3 4 x^2 x^2 + 3×6 x^(2 + 1) - 9 x^2
2 + 1 = 3:
3 4 x^2 x^2 + 3 6 x^3 - 9 x^2
3×6 = 18:
3 4 x^2 x^2 + 18 x^3 - 9 x^2
3 x^2×4 x^2 = 3 x^4×4:
3×4 x^4 + 18 x^3 - 9 x^2
3×4 = 12:
Answer: 12 x^4 + 18 x^3 - 9 x^2