What is the value of x?
1 answer:
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Answer: 150 <= x < 250
Step-by-step explanation:
A number, x, rounded to 1 significant figure is 200
Write down the error interval for x
Rounding x to 1 significant figure means that all subsequent digits after the first is rounded down to zero(0) (if the immediate number after the first is digit 5 or more, it is rounded to 1 and added to the first digit).
Answer:
x = 5, x =
Step-by-step explanation:
Given
+
= 3
=
=
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5
Answer:
The three-digit numbers with these properties are 850 or 941.
Step-by-step explanation:
Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that . The second condition is:
the original number is while the reversed number is
so
Now we have the system
You can divide by 99 to simplify the second equation.
Note that x, y, z must be digits between 0 and 9 and . If
, then the second equation forces
, for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.