Answer:
Solutions:-5,0,9,6
Not solutions: 12.5,10
Explanation:
The inequality that was given is:
20 > 5 + 3x
First, group similar terms;
20 - 5 < 3x
15 < 3x
x = 5
Thus, the solutions are:-3.5, 5, 4 3/4, -15
The not solutions are:-10 2/3, 129,
Hope this helps! :)
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
the answer is a quadratic
Step-by-step explanation:
A second degree polynomial is also called a "quadratic." Examples are 4x2, x2 - 9, or 6x2 + 13x + c. Just for fun, a third degree polynomial is called a "cubic", a fourth degree is called a "quartic", and a fifth degree polynomial is called a "quintic.
Answer:
Step-by-step explanation:
(6/5)√x = x - 6
(36/25)x = x² - 12x + 36
0 = x² - 13.44x + 36
x = (13.44 ± √(13.44² - 4(1)(36))) / (2(1))
x = (13.44 ± 6.052569702...) / 2
x = 3.69371... zebras
or
x = 9.74628... zebras
In either case we have some odd fractions of zebras hanging around. This makes me highly suspect that the question is misreported
Answer:
<h3><u>1.</u>)</h3>
3n + 1 = 7n - 5
1 + 5 = 7n - 3n
6 = 4n
3/2 = n
<h3><u>2</u><u>.</u>)</h3>
2[x + 3(x - 1)] = 18
2[x + 3x - 3] = 18
2(4x - 3) = 18
8x - 6 = 18
8x = 12
x = 12/8
x = 3/2
<h3>
<u>3</u><u>.</u>)</h3>
6(y + 2) - 4 = -10
6y + 12 - 4 = -10
6y = -10 - 8
6y = -18
y = -3
<h3>
<u>4</u><u>.</u>)</h3>
2x² = 50
x² = 50/2
x = √25
x = 5
<h3>
<u>5</u><u>.</u>)</h3>
5 + 2(k + 4) = 5(k - 3) + 10
5 + 2k + 8 = 5k - 15 + 10
2k - 5k = -5 - 13
-3k = -18
k = 6
<h3>
<u>6</u><u>.</u>)</h3>
6 + 2x(x - 3) = 2x²
6 + 2x² - 6x = 2x²
-6x = 2x² - 2x² - 6
x = 1
<h3>
<u>7</u><u>.</u>)</h3>
2/3x - 18 = x/6
12(2/3x - 18 = x/6)
8x - 216 = 2x
8x - 2x = 216
6x = 216
x = 36
<h3><u>
8.</u>
)</h3>
x - 2/3 = 2x + 1/4
12(x - 2/3 = 2x + 1/4)
4x - 8 = 6x + 3
4x - 6x = 8 + 3
2x = 11
x = 11/2
<u>-TheUnknownScientist</u><u> 72</u>
