÷you need to find how many parts there are ; 4 + 3 = <u>7</u>
you then need to divide the number by the parts ; £56 ÷ 7 = <u>£8</u>
<u />1 part = <u>£8</u>
<u />4:3, 4 parts : 3 parts.
4 x £8 = <u>£32</u>
3 x £8 = <u>£24</u>
<u><em /></u><em> <u>4:3</u></em><u /><u /> = <em><u>£32:£24</u></em>
<em>to check your answer ;</em>
<em>add both parts of your final answer , £32 + £24 = <u>£56</u></em><u><em></em></u>
The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
Answer:
1/64
Step-by-step explanation:
Given the expression
3+4√4y = 4
4√4y = 4-3
4√4y = 1
√4y = 1/4
Square both sides
(√4y)²= (1/4)²
4y = 1/16
y = 1/16 * 1/4
y = 1/64
Hence the value of y is 1/64
Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
