Answer:
a. x>
23
/3
b: x<
13/5
Step-by-step explanation:
A: Step 1: Subtract x from both sides.
4x−15−x>x+8−x
3x−15>8
Step 2: Add 15 to both sides.
3x−15+15>8+15
3x>23
Step 3: Divide both sides by 3.
<u>x>
23/3</u>
B: Step 1: Subtract 7x from both sides.
2x+13−7x>7x−7x
−5x+13>0
Step 2: Subtract 13 from both sides.
−5x+13−13>0−13
−5x>−13
Step 3: Divide both sides by -5.
Answer: x<
13/5
Answer:
x = -1/2
Step-by-step explanation:
1-3x = x+3
Add 3x to each side
1-3x+3x = x+3x+3
1 = 4x+3
Subtract 3 from each side
1-3 = 4x+3-3
-2 = 4x
Divide each side by 4
-2/4 = 4x/4
-1/2 =x
To find x we are gonna use the cosine formula.
Cos 0 = adj/hyp
0 represents theta
Cos 0 = adj/hyp
Cos 0 = 25/40
Convert 25/40 to decimal from
25/40 = 0.625
On a scientific calculator press the key “2nd F” or “Shift” then “cos”(which would give cos inverse) then type 0.625 equal.
Cos-1 0 0.625
= 51.31 degrees
x is therefore 51.3 degrees to the nearest tenth
Answer:
Step-by-step explanation:
Given that,
y = x + 6 equation 1
3x - 3y = -18. Equation 2
Substitute equation 1 into equation 2
3x-3(x+6) = -18
3x - 3x - 18 = -18
-18 = -18
Therefore, it has no solution. Check attachment for echelon matrix solution
B. y = -2x + 5 equation 1
2x + y = -7. Equation 2
Substitute equation 1 into 2
2x -2x + 5 = -7
5 = -7
Since the equation is not balance, then, it has infinite numbers of solution.
C. y = -4x + 11. Equation 1
6x + y = 11. Equation 2
Substitute equation 1 into 2
6x - 4x + 11 = 11
2x = 11 - 11
2x = 0
x = 0
Also, y = -4x + 11
y = 0 + 11 = 11
Then, this has a unique solution I.e. one solution.
Ted is incorrect because 3/10 is the same as .30 which is then multiplied by 100 and given the product of 30.
.3×100=30
