Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
Answer:
a) 19 batches
b) $0.18
Step-by-step explanation:
A 4-pound bag of sugar contains 4 54 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/2 cup of sugar.
1 cup = 48 teaspoons
a) How many whole batches can you make if you use as much of the sugar as possible?
1 batch = 1/2 cups of sugar = 24 teaspoons of sugar
Hence,
24 teaspoons of sugar = 1 batch
454 one-teaspoon servings = x
Cross Multiply
24 × x = 1 × 454
x = 454/24
x = 18.9166666667
Approximately to whole batches = 19 batches
b) What is the cost of sugar for each batch?
454 one-teaspoon servings and costs $3.49 = 19 batches
Hence
19 batches = $3.49
1 batch = x
x= $3.49/19
x = $0.18368421052
Approximately = $0.18
Answer: 
Step-by-step explanation:
According to the properties of logarithms, we have
To rewrite : 
in the form of log(c).
Therefore,
[
]
Hence, .
Answer:
Since he rode 9/10 to the store and 4/10 to his uncles house now, total distance covered is
9/10+4/10=13/10miles or 1.3miles
Step-by-step explanation:
First you find the total distance he rode by adding both distance he traveled then devide.
See the drawing below. give brainliest of this answer helped!
