In English: calculate the value of x (if it exists) satisfies the equation the absolute value here if there is no value of x satisfies.give your reasons: 2[3x-8] = 10
Talking about absolute value, that is about the module. Apparently the sign "[]" module mark "| |". Let's remember what is a module: |X|=X if X>0 or X=0and |X|=-X if X<0.The module requires two solutions.
2|3x-8| = 10 divide the equation by 2.|3x-8| =5
get the two systems
1.1) 3x-8>0 or 3x-8=01.2) 3x-8=5
2.1) 3x-8<0 2.2) -3x+8=5
Solved:1.1) 3x-8>0 or 3x-8=0X>2 and 2/3 or X=2 and 2/3 ------ the first condition
1.2) 3x=13x=4 and 1/3 -------- the second condition
Solution 1: x=4 and 1/3
2.1) 3x-8<0 2.2) -3x+8=5
2.1) 3x-8<0 X<2 and 2/3 ------ the first condition
2.2) -3x=-3x=1 -------- the second condition
Solution 2: x=1.
Obyedinenie decisions system 1 and system 2.
General answer: x1=4 1/3 ; x2=1
Answer:
there are 48 blue cards
Step-by-step explanation:
4+4+4+4+4+4+4+4+4+4+4+4+3+3+3+3+3+3+3+3+3+3+3+3=84
4×12 =48
The transitive property states that “ for all numbers a,b, and c, if a=b and b=c, then a=c. Therefore, a and c are the same.
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
Answer:
the answer is B
Step-by-step explanation:
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