4x + 8y = 20
- 4x + 2y = -30
find y first
in order to find y eliminate x
add the two equations together
4x+-4x+8y+2y= 20+-30
4x-4x+8y+2y= 20-30
10y= -10
divide both sides by 10 to get y by itself
10y/10= -10/10
y= -1
find x by using the substitution method
- 4x + 2y = -30
-4x+2(-1)=-30
-4x-2= -30
move -2 to the other side
sign changes from -2 to +2
-4x-2+2= -30+2
-4x= -28
divide both sides by -4
-4x/-4= -28/-4
x= 7
answer:
(7,-1)
Answer: C, D
Step-by-step explanation:
31 - use the Pythagorean theorem to find the distance
a = 45
b = 28
plug in values
c = 53
answer choice C
32 - non linear functions are functions that aren't straight. if a function has anything besides a constant or an x variable to the power of 1, it is not linear
A - this is linear because -18 is a constant
B - this is linear because it only contains constants and an x variable to the power of 1
C - this is linear because it only contains an x variable to the power of 1
D - this is not linear because the x variable is on the bottom of the fraction, so x is to a power of -1
answer choice D
<span>All of the numerators for the fractional exponents in the examples above were 1. You can use fractional exponents that have numerators other than 1 to express roots, as shown below. Notice any patterns within this table?</span>
9514 1404 393
Answer:
36
Step-by-step explanation:
The equation for Ronny's total sales can be written as ...
450 +5x = 630 . . . . . where x is the number of additional mugs to be sold
5x = 180 . . . . . . . subtract 450
x = 36 . . . . . divide by 5
Ronny needs to sell 36 more coffee mugs to reach his sales goal.
Simply multiply the number outside the brackets with each one inside it..
3 [ 1 5 -5 6 0 0 ]
3 x 1 = 3
3 x 5 = 15
3 x -5 = -15
3 x 6 = 18
3 x 0 = 0
3 x 0 = 0
[ 3 15 -15 18 0 0 ]
[ 3 15 ]
[ -15 18 ]
[ 0 0]
The answer is B and I hope I explained this well for you.