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Alona [7]
3 years ago
8

The derivative of a function f(x) is given by f'(x)=3x^2-6x+4. The tangent line at the point (2,9) is parallel to another tangen

t line at the point ( a,b) . Find a .
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:2

Step-by-step explanation:

Given

The derivative of a function is f'(x)=3x^2-6x+4

The slope at (2,9) is

\Rightarrow 3(2)^2-6\times 2+4=4

the tangent at (2,9) is parallel to another tangent at (a,b) i.e. their slopes are equal

\Rightarrow 4=3a^2-6a+4\\\Rightarrow 3a^2-6a=0\\\Rightarrow\ 3a(a-2)=0\\\Rightarrow a=0\ \text{or}\ a=2

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jasenka [17]

Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

This is the slope intercept form of a line

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3 years ago
A 2007 survey of 980 American drivers concluded that 38% of the driving population would be willing to pay higher gas prices to
Oksana_A [137]

Answer:

The correct answer to the question is

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment.

Step-by-step explanation:

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8 0
3 years ago
Solve 2(x-3)=1-5(2-x)
xeze [42]
Your answer is, x=1.
                                Hope this helps.
5 0
3 years ago
Step by step how to factor:<br> 2y^2+9y+9=0
weeeeeb [17]
Use ac method
for ax²+bx+c=0 when a≠1


multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b


2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that

2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero

y+3=0
y=-3

2y+3=0
2y=-3
y=-3/2


y=-3 and -3/2
it's factored form is (x+3)(2x+3)
7 0
3 years ago
Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y3=13 ?
Hatshy [7]
C is correct..........
5 0
3 years ago
Read 2 more answers
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