12x+7<−11 AND5x−8≥4012

Two hundreds total 200.
Fifteen tens together make 150.
Six ones equals the same.

Answer:

Indeed, the equation is solvable by factoring. By applying the given equation, you can take the square root of both sides. Since both 169 and 9 are perfect squares, the left-hand side simplifies to plus or minus 13/3, producing rational results. Adding 6 to 13/3 yields a rational number while subtracting it does too. Thus, a quadratic equation is factorable if its solutions are rational.

Answer:

Step-by-step explanation:

For resolution, the Euclidean division is necessary:

• The polynomial is expressed as 16-2x³-6x²+x+9=-2x³-6x²+x+9
• We will divide this by:  4+3x-2=3x+2 and analyze the remainder

A visual representation of the process is provided

• The remainder is 47/9, hence the value to subtract is 47/9

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

We cannot infer that the proportion of wives married less than two years intending to have children is significantly greater than that of those married for five years.