Use long division to find the quotient below (x²+15x+56)÷(x+8) = x + 7
Answer:
x^2
Step-by-step explanation:

Hope this helps!
Since each vector is a member of

, the vectors will span

if they form a basis for

, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors

that gives the zero vector

occurs for scalars

.

Solving this, you'll find that

, so the vectors are indeed linearly independent, thus forming a basis for

and therefore they must span

.
Answer:
Sheila had $300 at first
Step-by-step explanation:
Given that:
Sheila spent:
for coat = $120
Let the original money be x so,
dress for = $(2/3(x - 120 ))
Now she left with = 1/5x
Now by adding all the amounts we get the original amount x:
x = 120 + (2/3(x - 120)) + 1/5x
By simplifying:
x = 120 + 2/3x - 240/3 + 1/5 x
adding like terms:
x = 120 - 80 + 2/3*5/5x + 1/5*3/3x
x = 40 + (10+3)x/15
x = 40 + 13x/15
x - 13x/15 = 40
Taking LCM
(15x - 13x)/15 = 40
2x/15 = 40
Multiply both sides by 15/2
x = 40*15/2
x = $300
so Sheila had $300 at first
i hope it will help you!
Reflection over the x-axis, translation of 6 units left.