1. 5x + 6 = 2 + 3x
-3x. - 3x
-------------------------
2x + 6 = 2
- 6. - 6
-------------------------
2x = -4
---- -----
2. 2
x = -2
2. 2(6 -2y) = -1(4y-9)
12 -4y = -4y + 9
+4y. +4y
----------------------------
.12 /=\ 9
No solution
3. 2z-6 = 2(z+2) + 10
2z -6 = 2z + 4 + 10
2z -6 = 2z +14
-2z. -2z
-6 /=\ 14
No solution.
This sequence is not a geometric.
It is because, common ratio = 6/3 = 2
9/6 = 1.5
As the ratio's are not same, it is not a G.P
Hope this helps!
There are 31+42+50+61=184 total females, and 50+61=111 females in grades 11 and 12, so the percentage is 111/184*100=60.33 percent, which can be rounded to 60%.
Let's simplify step-by-step.<span><span><span>12+<span><span>8x</span><span>(<span>4+3</span>)</span></span></span>+2</span>−6</span><span>=<span><span><span><span>12+<span>56x</span></span>+2</span>+</span>−6
</span></span>Combine Like Terms:<span>=<span><span><span>12+<span>56x</span></span>+2</span>+<span>−6</span></span></span><span>=<span><span>(<span>56x</span>)</span>+<span>(<span><span>12+2</span>+<span>−6</span></span>)</span></span></span><span>=<span><span>56x</span>+8
</span></span>Answer:<span>=<span><span>56x</span>+<span>8
Good luck mate :P</span></span></span>
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
