So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y
she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve
we have
180=3x+2y and
x=15+y
subsitute 15+y for x
180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y
solve for x
x=15+y
x=15+27
x=42
she spent $42 on each sister
Step-by-step explanation:
7x+22=2(5x+2)
7x+22=10x+4 (-7x)
3x+4=22 (-4)
3X=18 (divide by 3)
X=6 pencils
check if the number is correct
asha= 7*6=42 42+22 is 64
Lucy= 5*6=30 30+2 is 3264/32 is 2
asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy
The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.
The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).
Answer:
Options A) and E)
Step-by-step explanation:
If you use Ruffini's method for polynomials, you can find the roots.
The given picture shows us the first root of the polynomial
wich is 2.
Thus, the original polynomial can be written as

Here, you can notice that (x-2) is a factor
Answer:
I'm not sure for my answer 'cuz I just learned this but i think its A because even though the size changes, the corresponding angle measure are the same and the corresponding sides are proportional.
(Tell me if I'm wrong.)