How do you factor 6x^2+14x+4

Answers

Answer 1

Answer: (3x+1) (2x+4)

When the first number has multiple factors (like 6) it often times seems to be the factors that are closest together (3×2 instead of 6×1) So I usually use that as a starting point and play with the numbers until you find your answer. The more you do it, the easier it gets. And remember to always check your answer!

Related Questions

Find the perimeter of a rectangle that has a length of 3ft, and a width of (c+4)ft.
Let be the integers a,b,c with To be shown that the number can be written as a sum of 2 perfect squares.
What is -4x=-2+4y -4y=1-4x
HAPLLAPLPAL! BRAINLIEST!
Her investment grew 22% to$610 how much did she invest____ ( solve as an equation or fraction)

If the width and height of a rectangular prism are each shrunk to one seventh of the original size but the length remains the same, what is the formula to find the modified surface area?

Answers

Hey there,

Let's say 'L'=length, 'W'=width, and 'H'=height.

The surface area of a rectangular prism is

   A = (2LW) + (2WH) + (2LH) = 2 (LW + WH + LH)

If you shrink the width and height, then the new width is W/7
and the new height is H/7.

The new surface area is

   A = (2 L W/7) + (2 W/7 H/7) + (2 L H/7) .

That's    A = 2 (LW/7 + WH/49 + LH/7) .

or you could write it as   A = 2/7 (LW + WH/7 + LH)

There are many more ways to massage the formula and write it
in different ways, but I think writing it just that way is OK.

What is the fractional equivalent of 225%?

Answers

It is 2 1/4 , you have 200% which is equivalent to 2 and 25% which is one quarter of 100%

You would start out by putting 225 over 100 then simplifying from there. You would end up getting 9/4. As a mixed number that would be 2 and 1/4.

Ryan buys a helmet for $20 and a bike that is on sale for $25 off. At the register, the cashier takes an additional 10% off the total purchase. If the initial price of the bike is $260, what is the final amount Ryan will pay?

Answers

$207 is the final amount that Ryan will have to pay.

Answer:

207.00 is the correct answer

Step-by-step explanation:

Solve for X look at the image below

Answers

Answer:

x = 3

Step-by-step explanation:

m<R = 180 - 110 = 70

m(arc)KQ = 2 × 70 = 140

m(arc)PQ = 140 - 50 = 90

30x = 90

x = 3

N entry level technical writer's annual pay is $55,068 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease? Round your answer to the nearest dollar.

Answers

Answer:

The technical writer should expect his annual pay to decrease by $1,059

Step-by-step explanation:

52 weeks = $55,068

51 weeks =

Cross Multiply

51 weeks × $55,068/52 weeks

= $54009

The writer will be paid $54009 for 51 weeks

His pay reduced by:

$55,068 - $54,009

= $1,059

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between heigh h of the candle and time t. Predict how tall the candle will be after 8 hours.

Answers

Let

x------> the time in hours

y------> the height in inches

$A(3,17)\nB(5,15)$

Step $1$

Find the slope m of the linear equation between points A and B

we know that

The formula to calculate the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitutes the values

$m=((15-17))/((5-3))$

$m=((-2))/((2))$

$m=-1$

Step $2$

Find the equation of the line

we know that

the equation of the line in the point-slope form is

$y-y1=m*(x-x1)$

we have

$m=-1$

$A(3,17)$

substitute in the equation

$y-17=-1*(x-3)$

$y=-x+20$ --------> this is the linear equation that model the relationship between height h of the candle and time t

Step $3$

Find the height for $x=8$ hours

substitute the value of x in the linear equation

$y=-8+20$

$y=12\ inches$

The height of the candle will be $12\ inches$ after $8\ hours$

For the linear equation you have two points (3, 17) and (5, 15) so the equation is: h-17=(15-17)/(5-3)*(t-3), solve for h= -t+20.
For predicting, only replace t=8 into you equation (h= -t+20) and you will get h=-8+20=12

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