Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
Answer:
$111
Step-by-step explanation:
The bank balance is ...
$700 × (1 + 0.05) = $735
The cost of the computer is ...
$750 × (1 -0.20) × (1 +0.04) = $624
The remaining bank balance after paying for the computer is ...
$735 -624 = $111
_____
When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).
(original amount) + (percentage)×(original amount)
Use the distributive property to factor out the original amount:
= (original amount)×(1 + percentage)
Answer:
Step 1) Convert the 3.15 percent to a decimal number.
To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.
3.15 ÷ 100 = 0.0315
Step 2) Convert the decimal number to a fraction.
To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.
0.0315 =
0.0315
1
Step 3) Remove the decimal point in the numerator.
To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.
0.0315 × 10000
1 × 10000
=
315
10000
Step 4) Simplify the fraction.
The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.
315 ÷ 5
10000 ÷ 5
=
63
2000
Step 5) Convert the fraction to a ratio.
To convert the fraction to a ratio, replace the fraction divider line with a colon.
63
2000
= 63:2000
That was the final step. Below is the answer to 3.15 percent as a ratio.
3.15% = 63:2000
Step-by-step explanation:
Answer:
b the answer is b
Step-by-step explanation:
idk what they mean but i got an 100 and i had this questin so a
Answer:
y-k
x-h
Step-by-step explanation:
Given E &D, F would be at (x, k).
That means E to F would be y-k.
And F to D would be x-h.
I assume you don’t need to find E to D, since that’s just r. (You could use the Distance Formula or Pythagoreans theorem to come up with and equation, but it wouldn‘t be one of those listed.)
