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3 years ago

Factor the expression: 12x + 16

Mathematics

2 answers:

12345 [234]3 years ago

6 0

Answer:

12x+16

~Grouping~

12+16

4(3+4)

~Solution~

4(3+4)

Step-by-step explanation:

Hope that helps!!! :)

creativ13 [48]3 years ago

6 0

Answer:

Step-by-step explanation:

All you can do with this is take out a common factor of 4

12x / 4 = 3x

16 / 4 = 4

So the answer is

4 (3x + 4)

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

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2 years ago

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janet is comparing prices of bottled water. one bottle of water costs $1.92 and contains 12 ounces. another bottle of water cost

AnnyKZ [126]

Bottle 1 = $1.92 & 12 ounces

Bottle 2 = $2.40 & 16 ounces

Bottle 1

If 12 ounces costs $1.92, to determine the price of 1 ounce we divide $1.92 by 12.

$1.92 ÷ 12 = $0.16 per ounce for bottle 1.

Bottle 2

If 16 ounces costs $2.40, to determine the price of 1 ounce we divide $2.40 by 16.

$2.40 ÷ 16 = $0.15 per ounce for bottle 2.

Therefore we can determine that Bottle 2 is cheaper per ounce than Bottle 1.

7 0

3 years ago

Fraction from or decimal form but has to be rounded

Alekssandra [29.7K]

Answer:

x = $\frac{25}{6}$

Step-by-step explanation:

Given expression is,

$2x-\frac{11}{4}x=-\frac{25}{8}$

$\frac{8x}{4}-\frac{11}{4}x=-\frac{25}{8}$

$\frac{8x-11x}{4}=-\frac{25}{8}$

$-\frac{3x}{4}=-\frac{25}{8}$

$\frac{3x}{4}\times 4=\frac{25}{8}\times 4$

$3x=\frac{25}{2}$

$\frac{3x}{3}=\frac{25}{2}\times \frac{1}{3}$

x = $\frac{25}{6}$

5 0

2 years ago

Factor the expression: 12x + 16​

Factor the expression: 12x + 16