Answer:
A. 112 m^2
Step-by-step explanation:
If the scale factor is 4, the area of the larger figure is 4^2 times that of the smaller one.
... (7 m^2)·4^2 = 112 m^2
_____
The scale factor for area is the square of the scale factor for linear dimensions. When we talk about a scale factor without qualification, we mean the scale factor for linear dimensions.
Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Answer:
x ≥ 12
Step-by-step explanation:
Step 1: subtract 2 from both sides
Now you have; -3/4 x ≤ -9
Step 2: divide both sides by -3/4
Now you have x ≥ 12
(when dividing an inequality by a negative you have to flip the sign)
Therefore the answer is x ≥ 12
Answer: 2 years
Step-by-step explanation:
If Interest= Principal x rate x time/100; then time is (100 × Interest)/(Principal × Rate)
From the question, old Principal is 5600, new principal =6720, the difference is the interest accrued.
Interest = 6720 - 5600 = Rs 1120
Rate = 8% = 8 ÷ 100 = 0.08
Time = x
Then, slot the values into the formula
Time= 100 x 1120 / 6720 x 8
= 112000/53760
=2.08
Time= 2years
I hope this helps
