Rewrite the following quadratic functions in intercept or factored form. Show your work.f(x) = 3x^2 - 12
Answers
Answer:
f(x) = 3(x+2)(x-2)
Step-by-step explanation:
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term is in the form
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
Answer:
3(x-2)(x+2)
Step-by-step explanation:
Given equation is :
f(x) = 3x²-12
We have to rewrite the given function in factored or intercept form.
Since, we know that 3 and 12 are multiples of 3.
taking 3 as common , we get
f(x) = 3(x²-4)
using differernce formula in above equation , we get
a²-b² = (a-b)(a+b)
f(x) = 3(x-2)(x+2)
Hence, the given factors are 3,(x-2) and (x+2).
Related Questions
Assumes Tiger Company had 60 units in beginning Finished Goods Inventory and sold 1,200 units. Additional data includes: • Units produced 1,300 units • Direct materials $13 per unit • Direct labor 9 per unit • Variable manufacturing overhead 3 per unit • Fixed manufacturing overhead 8 per unit Using absorption costing, what is the dollar amount of ending Finished Goods Inventory? a) $5,280 b) $4,000 c) $3,740 d) $800
Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?Answer:
An amusement park charges a $3 rental fee $1.50 per hour to rent a stroller. Write an equation that represents the total cost, starting what your variables represent.
If a business made $85,000 in seven months, how much money will the business make in one year?
Answers
The left side is the difference of 2 squares,
so we know right away, without any uncertainty
or sweat, that it can be written as
(x + 5) (x - 5) ,
and we know that it's equal to zero when either factor is zero.
Now let's look at the choices:
A. X = -1 Not a chance.
B. X = -3 Also no.
C. X = -5 Yes that's good; that would make the first factor zero.
D. X = 5 Yes that's good too; it would make the second factor zero.
E. X = 3 Not true. Don't know how they came up with it.
F. X = 1 Equally not true.
correct alternatives : C , D
Answers
Answer:
Yearly expenses = ₹45,000
Step-by-step explanation:
Given:
Monthly expenses = ₹3,750
Find:
Yearly expenses
Computation:
Yearly expenses = 12 x ₹3,750
Yearly expenses = ₹45,000
Neha is unemployed and his expenses are totally fixed during the whole year.
Answers
x^4+4x^3+2x²+x+4=(x²+3x)*(x²+x-1) + 4x+4
Remainder=4x+4
What is the value of a - n + k ?
Answers
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3
Answers
The volume of the cone to the nearest whole number is 1283 m³
How to determine the volume
Formula for volume of a cone =
Slant height = 25m
If diameter = 14m , radius = 14/2 = 7m
Pie = 22/7
Substitute values into formula
We have,
Volume =
Volume =
Volume = in the nearest whole number
Thus, the volume of the cone to the nearest whole number is 1283 m³
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Final answer:
The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.
Explanation:
To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.
V = 1/3 * π * (7)² * 24 = 1232 m³
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