4(x-2)-3=9
<span>Reorder the terms:
4(-2 + x) + -3 = 9
</span><span>(-2 * 4 + x * 4) + -3 = 9
</span><span>(-8 + 4x) + -3 = 9
</span><span>Reorder the terms:
-8 + -3 + 4x = 9
</span><span>Combine like terms:
-8 + -3 = -11
</span>-11 + 4x = 9
<span>Solving:
-11 + 4x = 9
</span>Add '11' to each side of the equation.
-11 + 11 + 4x = 9 + 11
Combine like terms: -11 + 11 = 0
0 + 4x = 9 + 11
4x = 9 + 11
<span>Combine like terms:
9 + 11 = 20
4x = 20
</span><span>Divide each side by 4.
x = 5</span>
Answer:
y > 4x + 1
Step-by-step explanation:
Equation of the dotted line:
Slope = (-3-1)/(0-1) = 4
Y intercept is +1
y = 4x + 1
Shaded region:
y > 4x + 1
Answer:
SinA = 40/50
Step-by-step explanation:
I think it's just asking if you understand the trig ratios. You aren't really solving for anything.
SinA is 40 over 50 because 40 is opposite of <A and 50 is the hypotenuse.
Then, use the trig ratios to figure out the other problems.
The value of the investment in 5 years is $5805.9
<h3>What is Interest ?</h3>
Interest is the amount earned over years for the amount invested.
It is given that
Principal = $5000
Rate = 3%
Compounded Quarterly
Time = 5 years
Amount = ?
The Amount is given by the formula
Amount = P( 1 + (r/n))ⁿˣ
Here n = t = time period for which the investment has been done.
Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵
Amount = 5000 (1.16)
Amount = $ 5805.9
Therefore , The value of the investment in 5 years is $5805.9
To know more about Interest
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Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
