Answer:
x = 4
Step-by-step explanation:
110ₓ = 40₅ --------- change all to base ten.
<u>the system called binary</u>
1x²+1x ¹+0x⁰ = 45¹+0*5⁰
x² + x + 0 = 20
x² + x – 20 = 0
solve x using Quadratic equation
-1 ± 
x = ------------------------------------
2 * 1
x = -5; x = 4
therefore, x = 4
Answer:
In the scenario in which you have declared a numeric array named numbers, and two of its elements are numbers[1] and numbers[5] you know that numbers[1] is smaller than numbers[5] and that there are exactly three elements between those two elements. Correct answer: a and c.
numbers[i] is the element of the array called numbers
Step-by-step explanation:
3. | -9 | = 9
7. - | -5 * -7 | = - | 35 | = -35
15. | m + 3 | = 7
m + 3 = 7 -(m + 3) = 7
m = 7 - 3 -m - 3 = 7
m = 4 -m = 10
m = -10
so m = 4 and m = -10
17. | -3d | = 15
-3d = 15 -(-3d) = 15
d = 15/-3 3d = 15
d = - 5 d = 15/3
d = 5
so d = 5 and d = -5
19. | 4b - 5 | = 19
4b - 5 = 19 -(4b - 5) = 19
4b = 19 + 5 -4b + 5 = 19
4b = 24 -4b = 14
b = 24/4 b = 14/-4
b = 6 b = - 7/2
so b = 6 or b = -7/2
20. | x - 1 | + 5 = 2
| x - 1 | = 2 - 5
| x - 1 | = -3
There is no solution on this one because an absolute value cannot equal a negative number
21. -4 | 8 - 5n | = 13
| 8 - 5n | = - 13/4
There is also no solution for this one because of the same reason...absolute values cannot equal negative numbers
X + 6 = 8 + 7x
First, use the equality property to move the variable x to one side.
x + 6 = 8 + 7x
-x -x
You are left with: 6 = 8 + 6x
Use the equality property again
6 = 8 + 6x
-8 -8
-2 = 6x
Divide each side by 6: and your solution is -2/6, which simplifies to -1/3
In this example, Lisa is correct
Answer:
X=6
Step-by-step explanation:
Explanation in the picture
1. Substitute f(x) = -4 into f(x)= x^2 - 12x + 32