An equation is formed of two equal expressions. The solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation,
(5x+2)² + 15x + 6=0
25x² + 4 + 20x + 15x + 6 = 0
25x² + 35x + 10 = 0
Plotting the equation on the graph, the value of x is,
x = -0.4, -1
Hence, the solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
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The correct equation is P(t) = Po*e^(kt). Please enclose "kt" inside parentheses and use the " ^ " symbol to indicate exponentiation.
"k" is the growth constant, which here is 0.017. "t" is the number of yeasrs. P(7) is the population after 7 years. Po is the initial population, which in this case is 91 million.
The initial value, when t = 0, is 91 million.
After 7 years, the population, P(7), was P(7) = (91 million)*e^(0.017*7). This evaluates to P(7) = (91 million)*(1.070) = 96 million
<span>the state or fact of being similar basically saying the same
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So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer: x = -3
Step-by-step explanation:Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Equation at the end of step 1 :
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x-3 = 0
Add 3 to both sides of the equation :
-x = 3
Multiply both sides of the equation by (-1) : x = -3
One solution was found :
x = -3