Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
Answer:
No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
Step-by-step explanation:
We try to solve the equation first.
2x + 2 = x + 1
We want all variables on the left side and all numbers on the right side.
Subtract x from both sides.
x + 2 = 1
Subtract 2 from both sides.
x = -1
Check: Plug in -1 for x on both sides and see if it makes a true statement.
2x + 2 = x + 1
2(-1) + 2 = -1 + 1
-2 + 2 = 0
0 = 0
0 = 0 is a true statement, so the solution x = -1 is the correct solution.
Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
1.75 + 0.25x ≤ 15
where x is equal the number of miles.
The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done.
15 - 1.75 = 13.25
13.25/0.25 = x
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
<span>|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides
</span>
<span>∴ |7x-7| = 4x - 2
</span>
According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11
∴ x = 5/3 and 9/11
So, the correct answer is option <span>B. 5/3 and 9/11</span>
6-z
Z-6 would be wrong because the question said start with 6