Factor completely 6x^2-7x-3

Mathematics

1 answer:

hichkok12 [17]3 years ago

6 0

$x = \frac{-(-7) +/- \sqrt{(-7)^{2}-4(6)(-3) } }{2(6)}$
$\frac{7 +/- 11}{12}$
x = 3/2 or -1/3

You might be interested in

Seth made 4 quarts of fruit punch for a birthday party. How many cups of fruit punch did he make?

Natasha_Volkova [10]

Seth made 8 cups of fruit punch

4 cups = 1 quart

4 quarts = 16 cups

8 0

3 years ago

Read 2 more answers

A bookstore can purchase several calculators for a total cost of $120. If each calculators cost $1 less, the bookstore could pur

Tresset [83]

$x-number\ of\ calculators\ sold\ in\ regular\ price\\\\
y-\ \ first\ price\\\\
(y-1)\ \ -second\ price\\\\x=\frac{120}{y}\\
x+10=\frac{120}{y-1}\\\\Substitude\ x=\frac{120}{y}\ into\ the\ second\\\\\
\frac{120}{y}+10=\frac{120}{y-1}\ \ |-\frac{120}{y-1}-10\\\\
\frac{120}{y}-\frac{120}{y-1}=-10\\\\Make\ a\ common\ denominator\\\\
\frac{120(y-1)}{y(y-1)}-\frac{120y}{(y-1)y}=-10
\frac{120y-120)}{y(y-1)}-\frac{120y}{(y-1)y}=-10\\\\
\frac{120y-120-120y}{y(y-1)}=-10$ $Assumptions:\\y \neq 0\ \ \ and\ \ y \neq 1\\\\ \frac{-120}{y(y-1)}=-10\ \ \ | *y(y-1) \\\\
-120=-10y(y-1)\\\\
-120=-10y^2+10y\\\\
10y^2-10y-120=0\ \ \ |:10\\\\
y^2-y-12=0\\\\Factor\ equation\\\\ y^2+3y-4y-12=0\\\\
(y-4)(y+3)=0\\\\Solutions:\ \ y=4\ \ and\ \ y=-3$

8 0

4 years ago

Slope intercept form of an equation of the line with slope 3 and passes through the points (-1,-2)

ELEN [110]

Answer:

Step-by-step explanation:

y + 2 = 3(x + 1)

y + 2 = 3x + 3

y = 3x + 1

7 0

3 years ago

Find S15 for the series -1 + -3 + -5 + -7 +...

Ber [7]

Hello :
the sum is arithmetic secquence of common -diff is :
(-7)-(-5) =(-5)-(-3) = (-3)-(-1) =-2 = d
the first term is : a1 = -1
the formula of the sum : S= (n/2)(a1 +an)
n is number of term an = a1+(n-1)d

8 0

3 years ago

Ellen is making jewelry sets that contain a bracelet and a pair of earrings. Each bracelet uses 3 times as many beads as one ear

dangina [55]

<h2 /><h2>So there are a pair of earrings and a Bracelet. </h2>

It's given that the Bracelet uses 3 times the number of beads that's used in making a single earring.

It's also given that one single earing has 13 beads. So a single bracelet would have (3×13) beads .... and that's equal to 39.

Making a single set of jewellery needs a pair of earrings and a Bracelet.

So total number of required beads will be =

3 0

3 years ago