Please help,

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

2x^2 - 2x - 12 = 0

2 is a factor so we write:

2(x^2 - x - 6) = 0

2(x - 3)(x + 2) = 0

The solutions are x = -2 and x = 3 which means that the graph of the equation passes through the x-axis at (-2, 0) and (3, 0). The graph is a parabola opening upwards. Also the multiplier of 2 produces a vertical transformation (stretching) of the graph of x^2 - x - 6.

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WHat are 3 possible solutions for this inequality 2/3(6x-3)>6

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

2/3(6x-3)>6

4x-2>6

4x>8

x>2

Anything more than 2, so 3,4,5, etc

5 0

2 years ago

Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$