E would be the intersection point
Answer:
(4x^2 +9)(4x^2-9) =0
Step-by-step explanation:
16x^4 - 18 = 0
Rewriting
(4x^2)^2 - 9^2 =0
We notice that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(4x^2 -9)(4x^2+9) =0
<em>Answer:</em>
<em />
<em>x³ + x² - 6x = 0</em>
<em>x(x² + x - 6) = 0</em>
<em>x(x² + 3x - 2x - 6) = 0</em>
<em>x[x(x + 3) - 2(x + 3)] = 0</em>
<em>x(x - 2)(x + 3) = 0</em>
<em>x₁ = 0</em>
<em>x - 2 = 0 => x₂ = 2</em>
<em>x + 3 = 0 => x₃ = - 3</em>
y = 8
using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)
with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = - 
(y - 3)/( - 5 - 3) = - 
(y - 3)/(-8) = - 
multiply both sides by - 8 to eliminate fractions
y - 3 = 5
add 3 to both sides
y = 5 + 3 =8
Answer:
The number of single-shot espressos sold by the cafe was 49.
Step-by-step explanation:
It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.
Total number of espressos sold by the cafe yesterday afternoon was,
<em>N</em> = 70
The proportion of single-shot espresso sold was, <em>p</em> = 0.70.
Let <em>X</em> = number of single-shot espressos sold.
Compute the number of single-shot espressos sold by the cafe as follows:


Thus, the number of single-shot espressos sold by the cafe was 49.