Answer:
see explanation
Step-by-step explanation:
1
The cosine function in standard form is
y = acos(bx + c)
where a is the amplitude, period = 
and
phase shift = - 
here b = 2 and c = 
, thus
phase shift = - 
= - 
2
the amplitude = | a |
which has a maximum of a and a minimum of - a
y = 4cosx ← has a maximum value of 4
Answer: 50 Minutes = 309 gal
Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.
Answer:
i realy try my best here it
Rewrite the equation as
7
x
+
5
y
=
z
.
7
x
+
5
y
=
z
Subtract
5
y
from both sides of the equation.
7
x
=
z
−
5
y
Divide each term by
7
and simplify.
Tap for more steps...
x
=
z
7
−
5
y
7
Step-by-step explanation:
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface
Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.
Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.
Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
(-5, 0) and (-1, 0) are the solutions of -2(-x - 3)² + 8 = 0
Step-by-step explanation:
- Step 1: Find the solutions of -2(-x - 3)² + 8 = 0.
Solutions are the intersecting points of y = -2(-x - 3)² + 8 and y = 0.
⇒ Solutions are (-5, 0) and (-1, 0)
- Step 2: (-5, 0) and (-1, 0) are solutions of -2(-x - 3)² + 8 = 0
