Answer:
45
Step-by-step explanation:
Replace everything in the equation that has a x to -3:
f(-3)=3(-3)^2-4(-3)+6
Square the -3:
f(-3)=3(9)-4(-3)+6
Multiply/Distribute
f(-3)=27+12+6
Add:
f(-3)=45
Hope this helps!
Answer:
AH = 
Step-by-step explanation:
The opposite sides of a rectangle are congruent , so
GH = RA = 7
Using Pythagoras' identity in right Δ GHA
AH² + GH² = GA²
AH² + 7² = 10²
AH² + 49 = 100 ( subtract 49 from both sides )
AH² = 51 ( take the square root of both sides )
AH =
≈ 7.14 ( to 2 dec. places )
<u>Answer</u>
Factor out the common factor.
<u>Explanation
</u>
Factorization consists looking and writing numbers as a product other number. It is expressing number as a product of other numbers.
The first step involves looking for numbers factors and the second one is factoring the common factors.
The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.
What is AOD?
AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.
Here, given
Length and breadth = 2,3 foot
Let us consider length of side of square = x
So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x
So, volume = (2-2x)*(3-2x)*x
v = 4x³ - 10x² + 6x
To find largest volume ,
= 0
= 12x² - 20x + 6
12x² - 20x + 6 = 0
x = 0.4 , 1.3
But, for 1.3 volume will be negative i.e. not possible.
So, volume = 2.2*1.2*0.4
= 1.056 foot³
Learn more about differentiation from given link:
brainly.com/question/954654
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<span>According to the figure, the two lenghts AE and EC are congruents, and so are AE and ED.Besides the two lines AB and DC are parallels, consequently angle A and C are congruent (interior Alternate angles). All this statements tell that triangle ABE and Triangle DEC congruent by the Side Angle Side Postulate, so the true answer is B.) Triangle AEB and Triangle CED</span>