Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
Answer: (0, 0)
Step-by-step explanation:
We have the linear system:
y = r*x
y = s*x
We want to find the point where the lines intersect,
We know that
r*x = y = s*x
r*x = s*x
if r and s are different numbers (if r = s, this means that the two lines are the same line)
Then we have that the equality is only true when x = 0.
this means that the value of y is.
y = s*0 = r*0 = 0
So the point (x, y) where the lines intersect is (0, 0)
x intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
x intercept
set y=0
4x-3y=12
4x-3(0)=12
4x=12
divide by 4
x=3
the x intercept is 3
y intercept
set x=0
4x-3y=12
4(0)-3y=12
-3y=12
divide by -3
y=-4
the y intercept is -4
D=dimes
n=niclkes
p=pennies
q=quarters
1 dollar (100 cents)
2 times as many nickles as dimes
n=2d
14 more pennies than quarters
p+14=q
and total is 1 dollar so
25q+10d+5n+p=100
ok so we must use logic
the max number of quarters in a dolar is 4
but there are pennies so max is 3
so q=1,2, or 3
therefor p=15,16 or, 17
also, the rest of te coins are only multipules of 5 so the sum amount of pennies and quartes must add to a multiplule of 5
if q=1 and p=15, total is 40 cents
if q=2 and p=16, total is 66 cents
if q=3 and p=17, total is 92 cents
only 40 cents is a multiplule of 10
1 quarter and 15 pennies
now we are having
40 cents is pennies and quartesrs
therfor 100-40=60 cents is nickles and dimes
60=5n+10d
n=2d
sub
60=5(2d)+10d
60=10d+10d
60=20d
divide both sides by 20
3=d
sub
n=2d
n=2(3)
n=6
6 nickles
3 dimes
answer is
1 quarter
3 dimes
6 nickles
15 pennies
