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3 years ago

Factor completely 3x^2 +2x +1

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

It cannot be factored, so it is prime.

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Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

7 0

3 years ago

10x +1 12x-5 solve for x

dimulka [17.4K]

Answer:

x = 3

Step-by-step explanation:

10x + 1 = 12x - 5

Subtract 1 from each side

10x = 12x - 6

Subtract 12x from each side

-2x = -6

Divided by -2

x = 3

5 0

3 years ago

£12000 in savings<br> 1.5% interest per year<br> Value after 2 years

kari74 [83]

Answer:treeeeeeeeeeeeeeeeeeeeeeee

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Step-by-step explanation:eeeeeeeeeeeeeeeeeeeeeeeeee

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7 0

3 years ago

Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them e

REY [17]

$y = \frac{1}{2x^{2} - 4}$
$0 = \frac{1}{2x^{2} - 4}$
$0(2x^{2} - 4) = (2x - 4)(\frac{1}{2x^{2} - 4})$
$0(2x^{2}) - 0(4) = 1$
$0 - 0 = 1$
$0\neq1$

8 0

3 years ago

Please someone help me out I don't understand ;-;

Nesterboy [21]

Answer:

Yes

Step-by-step explanation:

90 minutes each - 360 ÷ 4

7 0

3 years ago