Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
(this is english not math change your question when you have to do this again)
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
Answer and Step-by-step explanation:
The domain is all real numbers <u>except</u> 9 (positive)
This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is <u>not</u> included.
#teamtrees #WAP (Water And Plant)
Meet of lines: y = 3x − 2 and y = -2x + 3?
y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.
y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and D.
The point D(1,1) is the intersection of the lines. Let's check that algebraically:
3x-2=3(1)-2=1=y, good
-2x+3 = -2(1)+3=1=y, good
Answer: D
