Jessica locates her garden using a coordinate grid with yards as the units. The two points (-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?

These two corners are units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, and . The distance between them is given by:

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

These two corners are units apart.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt