That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Answer:
24.24%
Step-by-step explanation:
In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12
Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.
or 0.2424 or 24.24%
Red apples to all apples:
There are 6 red apples and 13 apples total, so the ratio it 6:13
Green Apples to All Apples:
There are 7 green apples and 13 apples total, so the ratio is 7:13.
The answer will be 15-4=11
Answer: x = -9/ addition property of equality
Explanation: In this problem, we're given that x - 7 = -16 and we're asked to solve the equation and explain which equality we used.
The first statement we have will be
the given statement which is x - 7 = -16.
Now, we just solve the equation.
Our first and only step will be to add 7 to both sides.
Then, we find that x = -9.
The property we used here was the addition property of equality.
This property tells us that we can add the same quantity,
or equal quantities, to both sides of an equation.
