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4 years ago

How to factor 5x^2 +4x -1

1 answer:

4 0

$5x^2+4x-1\\\\Method\ 1:\\\\5x^2+4x-1=5x^2+5x-x-1=5x(x+1)-1(x+1)\\=(x+1)(5x-1)\\\\5x^2+4x-1=(x+1)(5x-1)\\\\Method\ 2:\\\\5x^2+4x-1\\a=5;\ b=4;\ c=-1\\\\\Delta=b^2-4ac\\\\\Delta=4^2-4\cdot5\cdot(-1)=16+20=36 \ \textgreater \ 0\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{36}=6\\\\x_1=\dfrac{-4-6}{2\cdot5}=\dfrac{-10}{10}=-1\\\\x_2=\dfrac{-4+6}{2\cdot5}=\dfrac{2}{10}=0.2\\\\5x^2+4x-1=5(x-0.2)(x+1)=(5x-1)(x+1)$

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The point (-3,-1) lies in the quadrant: A.

xenn [34]

Answer:

$\displaystyle QUADRANT\:III$

Step-by-step explanation:

$\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I$

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3 years ago

The height of a box that joan is shipping is 3 inches less than the width of the box. the length is 2 inches more than twice the

Bas_tet [7]

We first recall the formula for the volume of a rectangular box:
$V=l*w*h$ where l is its length, w is the width, and h is the height.

According to the problem, the height is 3 inches less than the width therefore we can replace h with the term $w-3$ . Additionally, the length of the box is 2 inches more than twice the width therefore the length can also be replaced with $2w+2$ .

We can notice that the equation will just have one unknown variable because we already know the volume of the box. We can then solve for this variable (w):

$1540=(2w+2)w(w-3)$
$1540=(2w+2)(w^{2}-3w)$
$1540=2w^{3}-6w^{2}+2w^{2}-6w$
$0=2w^{3}-4w^{2}-6w-1540$

Solving the cubic equation we'll get $w=10$ and two complex number solutions. We'll just need to solve for the length and height using the value of the width:

$l=2w+2=2(10)+2=22$
$h=w-3=10-3=7$

ANSWER: The width of the box is 10 inches; its length is 22 inches, and its height is 7 inches.

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4 years ago

ALICE

Mice21 [21]

Answer:

Step-by-step explanation:

The 7 is in the hundredths place.

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4 years ago

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Murljashka [212]

The inequality graph shown is a graph of x < -6

The correct option is option B because it is the only one whose solution give x<-6

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x < 3 - 9

x < -6

Therefore the answer is B

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1 year ago

Determine the relationship described in each table.

densk [106]

For the first table, the y-values are not equally spaced and the ratios of y are not the same, but by plotting them and observing the graph that results, it looks like the points lie on an exponential curve. The second table is linear because when x changes by 1, y changes by 4. The third table is a quadratic model because even if the first differences of y are not the same, the second differences of y have the same value of 8. The fourth table is exponential because the ratio of y-values is 2, which is the same between each set of numbers.

6 0

3 years ago

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