Answer:
x=33
Step-by-step explanation:
because DC and AB are the same, x must be 33.
Answer:
1 month
Step-by-step explanation:
249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.
20 is the amount she has to spend every month, the rate of change.
The problem can be modeled with the general equation:
y = 20x + 249
In this equation, x the the time in months and y is the amount of money spent.
Substitute 250 for y.
y = 20x + 249
250 = 20x + 249 <= isolate x to get the number of months
1 = 20x
x = 1/20
Carol will only spent money every month, not for 1/20 of a month.
It will only take Carol 1 month to spent $250.
Check answer:
Substitute x for 1
y = 20x + 249
y = 20(1) + 249
y = 269
269 is more than 250 already.
Answer:
Step-by-step explanation:
f
(
x
)
=
−
4
(
x
−
8
)
2
+
3
Set the polynomial equal to
y
to find the properties of the parabola.
y
=
−
4
(
x
−
8
)
2
+
3
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
−
4
h
=
8
k
=
3
Since the value of
a
is negative, the parabola opens down.
Opens Down
Find the vertex
(
h
,
k
)
.
(
8
,
3
)
Find
p
, the distance from the vertex to the focus.
Tap for more steps...
−
1
16
Find the focus.
Tap for more steps...
(
8
,
47
16
)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x
=
8
image of graph
(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.
(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.
3/5 i believe. if you take 7 and divide it by 2 its 3.5.
