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3 years ago

Let f(x) = 3x2 - 6x + 2. Find f(2)

Mathematics

2 answers:

Akimi4 [234]3 years ago

8 0

F(2) will equal 37 then plug it in where x is

yanalaym [24]3 years ago

8 0

Answer:

f(2) = 2 .

Step-by-step explanation:

Given: f(x)=3x² - 6x + 2.

To find: f(2) .

Solution: We have given that f(x)=3x² - 6x + 2.

plugging the value of x =2

f(x)=3x² - 6x + 2

f(2)= 3(2)² - 6(2) + 2

f(2)= 3×4 -12 + 2

f(2) =12 -12 +2

so, f(2) = 2

Therefore, f(2) = 2 .

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

#5 plz plz plz help me it is due tomorrow

Burka [1]

Do 560 * .38 which is 212.8 or B, it could be C if you are rounding but 212.8 is the exact answer

5 0

3 years ago

Read 2 more answers

Part A: Clancey and Ethan are starting new books. So far, Clancey has read 1/4 of his book, which has 240 total pages and Ethan

Nonamiya [84]

In order to find who has read more pages, let's find the number of pages read by each one.

The number of pages read by Clancey is:

$\frac{1}{4}\cdot240=\frac{240}{4}=60$

The number of pages read by Ethan is:

$\frac{2}{5}\cdot170=\frac{340}{5}=68$

So Ethan read more pages.

The combined number of pages in both books is 240 + 170 = 410.

The combined number of pages read is 60 + 68 = 128

So the fraction is:

$\frac{128}{410}=\frac{64}{205}$

5 0

1 year ago

Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets

Yuliya22 [10]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

$\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}$

Finally, we see that the probability of all three balls landing in the same bucket is $\frac{1}{27}$

8 0

3 years ago

I don’t understand. and someone please help?

givi [52]

Solution:

Note that:

6x + 26 = 92 (Vertically opposite angle)
92 + 92 + z + z = 360

Finding x.

6x + 26 = 92
=> 6x = 92 - 26
=> 6x = 66
=> x = 11

Finding z.

92 + 92 + z + z = 360
=> 184 + 2z = 360
=> 2z = 360 - 184
=> 2z = 176
=> z = 176/2 = 88

3 0

2 years ago