X = 8 because the two given angles are alternate interior, meaning they are equal. Knowing that, you set up the equation 6x-2=46 and solve algebraically for 8.
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.
2/3 = x/1...2 parts water to 3 parts juice = x parts water to 1 part juice
cross multiply
(3)(x) = (2)(1)
3x = 2
x = 2/3 parts water are needed for 1 part juice
<span>2≤x≤8</span>
<span>−4≤<span>f′</span>(x)≤5</span>
f is continuous in differentable on [2,8] so we know there is c btw 2 and 8 such that
<span><span>f′</span>(c)=<span><span>f(8)−f(2)</span><span>/8−2</span></span></span>
And we know
<span>−4≤<span>f′</span>(c)≤5</span>
=> we have
<span>−4≤ <span><span>f(8)−f(2)</span><span>/8−2</span></span> ≤<span>5</span></span>
