<u>Answer:</u>
gradient = = 
y-intercept = 
<u>Step-by-step explanation:</u>
• The slope-intercept form of an equation takes the general form:
,
where:
m = slope,
c = y-intercept.
• We are given the equation:
To change this into the slope-intercept form, we must make y the subject:
[subtract 
from both sides]
⇒ 
[divide both sides by 3]
⇒
• Comparing this equation with the general form equation, we see that:
m =
c = .
This means that the gradient is 
, and the y-intercept is 
.
Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
Learn more about range of trigonometric ratios here :
brainly.com/question/14304883
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Answer:
I think the answer is D!
Step-by-step explanation:
The formula for a diagonal of a rectangle is <span>√w^2+h^2, with w and h being the width and height. Plug in your numbers to get </span><span>√7^2+5.5^2. Simplify that into </span><span>√49+30.25, then to </span><span>√79.25. Use your calculator to get 8.9022. The diagonal is 8.9 feet.</span>
