10. Infinitely many solutions:

Simplify this equation:

When
the equation becomes

This equality is true for all x, thus the equation has infinitely many solutions.
11. The equation
should have one solution x=-1.
First, simplify the equation:

This equation will have solution x=-1 when

Therefore, the initial equation is

12. The equation
should have infinitely many solutions.
Simplify it:

When
this equation will have infinitely many solutions.
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.
The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)
So we can say that x is greater or equal to 14, but less than or equal to 20, or:
14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
9514 1404 393
Answer:
B, B
Step-by-step explanation:
A model of 9/12 will have 12 parts, 9 of which are shaded.
A model of 3/4 will have 4 parts (1/3 as many), 3 of which are shaded. Each part of this model will correspond to 3 parts of the 9/12 model. Hence, each part is 3 times the size of a part in the 9/12 model.
B) 1/3 times as many
B) 3 times the size
Answer:
<u>The</u><u> </u><u>solution</u><u> </u><u>is</u><u> </u><u>B</u>
Step-by-step explanation:

then:

therefore, interval [limits] of x:
