Answer:
<h2>x = 3.1</h2>Step-by-step explanation:
<h3><u>To solve first take logarithm to both sides</u>
That's
<h3>But
<h3>So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3><u>Using the rules of logarithms</u>
That's
<h3>Rewrite the expression
That's
<h3>x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>Hope this helps you
Answer:
The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) =
Step-by-step explanation:
The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.
Answer:
y = 2x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)
m = =
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (- 3, 5 ), then
5 = - 6 + c ⇒ c = 5 + 6 = 11
y = 2x + 11 ← equation of line