Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:
25/6
Step-by-step explanation:
Answer:
To identify which integer does not belong with the rest, we must first evaluate each.
Step-by-step explanation:
- [25.6...] is already evaluated. Therefore, let's move on to Integer <em>b: </em>
, where is <em>x </em>is 48.
- 48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3
- √48 =
* 2 * 2 * 2 * 3
- We have 1 perfect sqaure: * 2
- When we multiply, we receive 2.
- Therefore, 2 *
- When -51/2 is relatively prime, we receive -25 1/2
- Finally, the last integer is already simplified.
Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.
In order to know what is the reasonable amount of tile for
Mandana to order, you have to divide the choices with the area of the floor and
deduct with 1 and multiply by 100. You have to assess if the answer you will
get will fall between 15% and 20% which is the goal of Mandana.
<span>a.
</span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this
does not fall between 15% and 20%
<span>b.
</span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this
fall between 15% and 20%
<span>c.
</span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this
does not fall between 15% and 20%
<span>d.
</span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this
does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order
that is between 15% and 20% extra of the materials is 138 square feet.
Answer:
A. 1,156
Step-by-step explanation:
The equation can be..
x= 1,156÷34
The sum of this equation would lead to x=34, since 34×34 is 1,156.
