Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
The answer is 2/3 in lowest terms.
Let us say that:
x = mass from Earl Grey Tea
y = mass from Orange Pekoe Tea
So that:
x + y = 600
and that:
6 x + 4 y = 4.5 * 600
6 (600 – y) + 4 y = 2700
3600 – 6y + 4y = 2700
-2y = -900
y = 450 pounds
x = 600 – 450 = 150 pounds
Answer:
<span> Earl Grey Tea = 150
pounds</span>
<span>Orange Pekoe Tea = 450 pounds</span>
Answer:
4) wall = 114 ft^2
$118.56 to paint
5) 77 cm^2
Step-by-step explanation:
4) (15 x 8)-(2 x 3)=120-6=114 ft^2
114 x $1.04 = $118.56
5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2
The GCF of 40 16 and 24 is 8
<h3>How to determine the GCF of 40 16 and 24?</h3>
The numbers are given as:
40 16 and 24
Start by listing out the factors of the numbers:
This is done as follows:
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
- The factors of 16 are: 1, 2, 4, 8, 16
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor in the above list is 8.
Hence, the GCF of 40 16 and 24 is 8
Read more about GCF at:
brainly.com/question/219464
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