Answer:
see explanation
Step-by-step explanation:
(a ) calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = A(0, 6) and (x₂, y₂ ) = B(3, 0 )
=
=
= - 2
(b)
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 
(c)
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(0, 6 ) is the y-intercept ⇒ c = 6
y =
x + 6 ← equation of perpendicular line
The range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The exponential function is given below.
f(x) = 2.7ˣ
We know the value of the exponential function is always positive.
Then the range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
More about the domain and range link is given below.
brainly.com/question/12208715
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(15√6 / √5)
<span>(15√6/√5) *(</span>√5/√5)
(15*√6*√5)/(√5*√5)
15*√30 / 5
3√30
Your expression is:
4·⁴√(2x) + 6·⁴<span>√(2x)
As you can see, the radicals are exactly the same: same index, same radicand.
Therefore you can treat it as if it was:
4 apples + 6 apples
which is 10 apples,
or in your case:
10</span>·⁴√(2x)
Hence, the correct answer is option A.