Expand and simplify. (x+4)squared
Answers
The quadratic expression (x+4)² = x² + 8x + 16.
The given expression is,
(x+4)²
The expression (x+4)² represents a mathematical operation called "squaring."
To expand it, we need to multiply the expression by itself.
So, (x+4)² becomes (x+4) * (x+4).
When we multiply these terms, we apply the distributive property and combine like terms.
After simplifying, we get x² + 8x + 16.
Or we can directly use the identity,
(a+b)² = a² + b² + 2ab
Here a = x and b = 4
(x+4)² = x² + 4² + 8x
Hence,
(x+4)² = x² + 8x + 16
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Use the FOIL method to simplify
F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)
x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16
Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x
Final expression= x² + 8x + 16
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The question would be SO much easier to answer if we could
SEE the graphed function, or even just its equation.
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Right angle is an angle that measure 90 degrees
Obtuse angle is an angle that measure more than 90 degrees.
In the given situation, we need to find the value of x of an acute angle with the given situation
=> (2x-12)
=> 0 < (2x -12) < 90
=> 12 < 2x < 102
=> 6 < x < 51
Let’s check our answer
=> 2 (51- 6)
=> 102 – 12
=> 90
Thus, the value of x = 51 degrees
Answers
Final answer:
The Andersons can set up 30 tables in 5 hours, as the problem deals with direct proportion. The calculation is 6 tables/hour * 5 hours = 30 tables.
Explanation:
The problem we're dealing with is a direct proportion scenario, where the number of tables the Andersons can set up increases linearly as time increases. It states that they can set up 6 tables in 1 hour. To find out how many tables they can set up in 5 hours, you simply multiply the rate (6 tables/hour) by the amount of time (5 hours).
So, 6 tables/hour * 5 hours = 30 tables. Therefore, the Andersons can set up 30 tables in 5 hours.
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Answers
Answer:
First shape: 366 in^2
Second shape: 376 in^2
Pretty sure these are correct, hope this helps!
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Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
Final answer:
The amount of gas you purchase at $3.00 per gallon depends on personal budget, distance of commute, and the efficiency of your vehicle. Changes in supply and demand for crude oil may also affect these decisions.
Explanation:
The determination of how much gas you purchase when the price is $3.00 per gallon depends on several factors. Personal budget makes a significant impact. If you have a limited budget, you might opt to purchase less gas, or drive less frequently.
The distance of your commute also plays a role. Longer commutes generally require more gasoline, leading to higher fuel expenses. On the other hand, if your commute is short or you use public transportation, you'll likely buy less gas.
Another influential factor is the efficiency of your vehicle. Cars that consume less fuel per mile will use less gas, which in turn, mean less trips to the gas station. Furthermore, a general increase in gasoline supply or decrease in the demand for crude oil, like in the summer months, could also affect your gasoline purchase decision.
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Answers
Answer:
3x - 4y = 24 - 3x - 3x --------------------------- -4y = -3x + 24 ------ ------- ----- -4 -4 -4 y = 3/4x - 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope intercept form is
We know that the -24 is b, and the 3 before the x is the m (slope).
So what you have to do is remove the -24 from the left side of the equation, to keep the y alone. To do that, add 24 to both sides of the equation.
-4y -24 +24 = 3x + 24
-4y = 3x + 24
Now, we need to get rid of the -4 from the y, so the y is alone. To do that, divide both sides by -4.
-4y ÷ -4 = (3x÷-4) + (24÷-4)
Hope this helps!