Answer:
3rd option
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 1, - 25 ) , then
f(x) = (x - (- 1) )² - 25 , that is
= (x + 1)² - 25 ← expand using FOIL
= x² + 2x + 1 - 25
= x² + 2x - 24
Answer:
7v +1
Step-by-step explanation:
6v+v+1
Combine like terms
7v +1
The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of children and y represent the number of adult, hence:
5.2x + 9.9y = 1303.5 (1)
Also:
x + y = 163 (2)
From both equations:
x = 66, y = 97
The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.
Find out more on equation at: brainly.com/question/2972832
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1. (7 − 3i) • (2 − i)
It is simplified as follows:
14 - 7i -6i - 3
11 - 13i
2. <span>(−5 + 3i) • (1 − 2i)
</span><span>It is simplified as follows:
</span><span>-5 + 10i + 3i + 6
1 + 13i
3. (1 + 3i) + (2 − 5i)
</span><span>It is simplified as follows:
</span>1 + 3i + 2 − 5i<span>
3 - 2i
4. (6 + 2i) − (8 − 3i)
</span><span>It is simplified as follows:
</span><span>6 + 2i − 8 + 3i
</span>-2 + 5i
Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water
of its capacity
→ That means the volume of the water is
the volume of the tank
∵ The volume of the water =
the volume of the tank
∴ The volume of the water =
× 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³