Answer:
3. 4 meters
6. wrong, it should be 7000 meters
7. 2 dm > 10 cm
8. 30 cm = 3 dm
9. 6 km > 5000 m
10. 8 m < 90 dm
Step-by-step explanation:
__________
Answer:
Explanation:
Work backward:
1. 2x + 23 = 30
Start:
Multiply the equation by 2:
Subtract 30 from both sides
- 2x - 30 = 7 - 30
- 2x - 30 = -23
Add 23 and 30 to both sides:
2. 3x + 19.5 = 30
Start:
Add 6.5 to both sides:
Multiply by 3:
Distributive property:
3. (10x - 20)/ 5 = 3
Start:
Multiply by 10:
Subtract 20:
Divide by 5:
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
------------------------------------------------------
Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x = 
Square perimeter =4x cm.
The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.
By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,
The perimeter of square = s + s + s + s
⇒Perimeter of square = 4s, where "s" is the side length of the square.
This is because all edges of a square are equal and each edge measures "s" units.
<h3>Calculating the perimeter of a square:</h3>
Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side
⇒P= 4x cm
It is concluded that the solution is 4x cm.
Learn more about square perimeter:
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Given:
The function f represents the diver's distance from sea level over time, in seconds.

To find:
The correct statement for the domain.
Solution:
Domain is the set of input values for which the function is defined.
Here, x values are the input values and they represent time intervals on which the function is defined
Here, the possible intervals for x are
.
![Domain=(-9,-2]\cup (-2,1]\cup (1,7)](https://tex.z-dn.net/?f=Domain%3D%28-9%2C-2%5D%5Ccup%20%28-2%2C1%5D%5Ccup%20%281%2C7%29)

Therefore, the domain is the time interval (−9, 7). Hence the correct option is A.