Answer:
In(8x)=[In]8 + [In]x
Step-by-step explanation:
By product rule:
![In(8x)=[In]8 + [In]x](https://tex.z-dn.net/?f=In%288x%29%3D%5BIn%5D8%20%2B%20%5BIn%5Dx)
Y = x² + 7x - 4
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
Answer:
£910
Step-by-step explanation:
let 3x and 7x be the initial amounts in their accounts, then after alterations
Terry has 3x + 220
Faye has 7x - 300
After these changes the amounts are equal, hence
7x - 300 = 3x + 220 ( subtract 3x from both sides )
4x - 300 = 220 ( add 300 to both sides )
4x = 520 ( divide both sides by 4 )
x = 130
Faye initially had 7 × £130 = £910 in her account
To solve this problem you must apply the proccedure shown below:
1. You have the following points given in the problem above:
A<span>(-2,3), B(9,3), C(5,6) and D(2,6)
2. When you plot them, you obtain the figure shown in the graph attached.
3. Therefore, as you can see,
the answer is: the figure is a trapezoid, which is define as a quadrilateral with two parallel sides.</span>
Aside from the conventional formula for triangle, A=<span>½bh which is only applicable to problems where the base and height are already given and the triangle is a right triangle having a degree of 90. There are some formulas in getting the area of a triangle:
>Given three sides of the triangle, use Heron's Formula
A= sqrt(s(s-a)(s-b)(s-c))
s= (a+b+c)/2
>Given two sides with an included angle
</span>Area = <span>1/2 </span><span>ab sin (tetha)
</span><span>tethat should be in degrees
</span>