2y² + y - 3

(2y+3)(y-1)

2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3

2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2

y - 1 = 0
y = 1

2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0

4 0

4 years ago

10 quarts or 38 cups?

sammy [17]

10 quarts is greater if that is what you were asking for.

6 0

4 years ago

Read 2 more answers

What type of number cannot be written as a fraction

Rom4ik [11]

An irrational number.

Example: Pi. Pi doesn’t have an ending as far as we know, so it cannot be written as a fraction.

5 0

3 years ago

Read 2 more answers

Tara and Veronica are in charge of making a banner for the volleyball game this Saturday.How much poster paper will they need fo

lesantik [10]

The answer is 21 7/8.

The quantity of the paper needed is the area of parallelogram with a height 3 1/2 and base 6 1/4. The area of a parallelogram (A) is the product of its height (h) and base (b):
A = h * b

We have:
$h = 3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{3}{1} +\frac{1}{2}= \frac{3*2}{1*2}+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2} \\ \\ b = 6 \frac{1}{4} = 6 + \frac{1}{4} = \frac{6}{1} +\frac{1}{4}= \frac{6*4}{1*4}+\frac{1}{4}=\frac{24}{4}+\frac{1}{4}=\frac{25}{4}$

Thus, the area of paralleogram is:
$A = b * h = \frac{7}{2} * \frac{25}{4} = \frac{7*25}{2*4} = \frac{175}{8} = \frac{168+7}{8} = \frac{168}{8} + \frac{7}{8} = 21+ \frac{7}{8}=21\frac{7}{8}$

7 0

3 years ago