He needs at least 2 gallons of the stain; though he will not use all of the second gallon
Answer:
You brought 3 lbs of potatoes
Step-by-step explanation:
divide 3.45 by 1.15
Answer:
Explanation:
To solve log (−5.6x + 1.3) = −1 − x graphycally, you must graph this system of equations on the same coordinate plane:
- Equation 1: y = log (5.6x + 1.3)
1) To graph the equation 1 you can use these features of logarithmfunctions:
- Domain: positive values ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)
- Range: all real numbers (- ∞ , ∞)
log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒x = 0.3/5.6 ≈ 0.054
x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11
- Pick some other values and build a table:
x log (-5.6x + 1.3)
-1 0.8
-2 1.1
-3 1.3
- You can see such graph on the picture attached: it is the red curve.
2) Graphing the equation 2 is easier because it is a line: y = - 1 - x
- slope, m = - 1 (the coeficient of x)
- y - intercept, b = - 1 (the constant term)
- x - intercept: y = 0 = - 1 - x ⇒ x = - 1
- The graph is the blue line on the picture.
3) The solution or solutions of the equations are the intersection points of the two graphs. So, now the graph method just requires that you read the x coordinates of the intersection points. From the least to the greatest, rounded to the nearest tenth, they are:
- <u><em>x₁ ≈ - 2.1</em></u>
Let the side of one square be x. Area = x*x = x²
Then the side of other square would be 2x , Area = 2x*2x = 4x²
Combined area = x² + 4x² = 5x²
This combined area = 45 cm²
Therefore 5x² = 45 Divide both sides by 5
x² = 45/5
x² = 9 Take square root of both sides
x = √9
x = 3
Length of larger square is 2x = 2*3 = 6 cm
Length of larger square = 6cm