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3 years ago

Factor 12y^2 + 5y -2 completely

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

7 0

Answer: (4y - 1)(3y + 2)

Step-by-step explanation:

$12y^{2} +5y-2\\=(4y - 1)(3y + 2)$

You can also do it the long way using the quadratic formula: $\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$ , where a = 12, b = 5, and c = -2.

Ede4ka [16]3 years ago

4 0

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

Step-by-step explanation:

do u know how to factor?

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A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is

Aleksandr-060686 [28]

Answer:

B, D, B, D

Step-by-step explanation:

4 0

3 years ago

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

$x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

4 0

3 years ago

Solve the equation?

stiks02 [169]

Answer:

Step-by-step explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p

p = ( - 2 ± $\sqrt{2^2-(4(1)(-8))}$ / 2

= ( - 2 ± $\sqrt{4+32}$ / 2

= ( - 2 ± $\sqrt{36}$ ) / 2

p = $\frac{-2-6}{2}$ = $\frac{-8}{2}$ = - 4

p = $\frac{-2+6}{2}$ = $\frac{4}{2}$ = 2

5 0

3 years ago

Read 2 more answers

Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What

vekshin1

Given:

Rachel used $\dfrac{1}{3}$ of her savings to buy brushes.

She used $\dfrac{3}{5}$ of her savings to buy paint.

To find:

The fraction for remaining savings.

Solution:

Fraction that Rachel used of her savings to buy brushes and paint is

$\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}$

$=\dfrac{5+9}{15}$

$=\dfrac{14}{15}$

Now,

$\text{Fraction for remaining savings}=1-\text{Fraction for used amount}$

$\text{Fraction for remaining savings}=1-\dfrac{14}{15}$

$\text{Fraction for remaining savings}=\dfrac{1}{15}$

Therefore, $\dfrac{1}{15}$ of her savings is remaining.

6 0

3 years ago

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Nataly [62]

9514 1404 393

Answer:

y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

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

m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

y +1 = -3/8(x +5)

In slope-intercept form, this is ...

y = -3/8x -23/8

4 0

2 years ago