<h3><u>The value of x is equal to -2.</u></h3>
5(2x + 8) = -8x + 4
<em><u>Distributive property.</u></em>
10x + 40 = -8x + 4
<em><u>Add 8x to both sides.</u></em>
18x + 40 = 4
<em><u>Subtract 40 from both sides.</u></em>
18x = -36
<em><u>Divide both sides by 18</u></em>
x = -2
(x2 - 4x + 4)/(x2 + 10x + 25) • (x + 5)/(x2 + 3x - 10)
((x - 2)2)/((x + 5)2) • (x + 5)/(x + 5)(x - 2)
(x - 2)/((x + 5)2) • 1
(x - 2)/((x + 5)2)
The answer is B.
For this case we can make the following rule of three:
4 gallons --------------> 14 plants
x --------------------------> 35 plants
From here, we clear the value of x.
We have then:

therefore, 10 gallons are needed to irrigate 35 plants.
Answer:
it will take 10 gallons to water 35 plants
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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Answer:
Required solution (a)
(b) 40.
Step-by-step explanation:
Given,

(a) Let,

Then,

Integrating
we get,

Differentiate this with respect to y we get,
compairinfg with
of the given function we get,

Then,

Again differentiate with respect to z we get,

on compairing we get,
(By integrating h'(z)) where C is integration constant. Hence,

(b) Next, to find the itegration,
