Answer:24 cm
Step-by-step explanation:
i took the test
Answer:
Sally has 1,532 stickers remaining.
Step-by-step explanation:
First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:
124*14=1,736
Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:
1,736-204=1,532
According to this, the answer is that Sally has 1,532 stickers remaining.
Answer:
y = 8•6^x
Step-by-step explanation:
Here, we want to write an exponential equation
To fully write this, we need the values of a and b
From the first coordinates given;
8 = a•b^0
a = 8 since b^0 = 1
Furthermore;
288 = 8•b*2
b^2 = 36
b = √36
b = 6
So we have ;
y = 8•6^x
Answer:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Step-by-step explanation:
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