Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."
Step-by-step explanation:
When numbers are considered, their position or place value matters a lot.
When a decimal number is written, moving left from the decimal point the place value increases ten times and while moving to the right the place value decreases 10 times.
Given two numbers are:
50.8 and 18.35
In order to compare the 5 in both numbers we have to find the place value of 55 in both numbers.
So,
<u>In 50.8:</u>
The place value of 5 in 50.8 is: 50
<u>In 18.35:</u>
The place value of 5 will be: 5/100
To compare the values, we will divide the larger place value by smaller place value

Hence,
The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."
Keywords: Place value, decimals
Learn more about place values at:
#LearnwithBrainly
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer:
x= 15/7
Step-by-step explanation: