Answer:
12
Step-by-step explanation:
2x - 4= 16
Divide by 2
2x/2 -4/2 = 16/2
x -2 = 8
Add 4 to each side
x-2+4 = 8+4
x+2 = 12
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
Therefore, Option (2) will be the vertex form.
Answer:
The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function
∵ The domain of the function is -90° ≤ Ф ≤ 90°
- Lets take sinФ as a common factor
∴ sinФ (3 sinФ - 2) = 0
- Two terms multiplied by each other = 0
∴ One of them must be equal zero
∴ sinФ = 0 or 3 sinФ - 2 = 0
- If sinФ = 0 ⇒ Ф = 0.0°
- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3
∵ sinФ 2/3
∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)
∵ -90° ≤ Ф ≤ 90°
∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)
∴ The solutions of the equation are -41.8° , 0.0° , 41.8°
op say thank to me
Step-by-step explanation:
Mast hai bro
Hello there!
We have the following equation:
c + p = 15 (c = carrots, p = potatoes)
Previously, we had this equation:
2 + 4 = 6.
2 is 1/3 of 6, and 4 is 2/3 of 6. The sum of these two fractions make a whole.
Let's apply this rule to 15 servings.
Since we are looking for thirds, divide 15 by 3 to solve for 1/3, or "p".
15 / 3 = 5
We have 5 potatoes.
Now, we must remember that the amount of carrots is twice the amount of potatoes.
Divide 15 by 3, then multiply that quotient by 2.
15 / 3 = 5
5 * 2 = 10
We have 10 carrots.
Your final answer is:
Winston will need 5 potatoes and 10 carrots.
I hope this helps!
