Given :
Cost of single bottle, C = $1.69 .
Cost of 4 bottles, B = $5 .
You bought one bottle last week for $1.69 and one bottle this week at the 4 for $5 price.
To Find :
Did you pay more or less for the bottle this week at 4 for $5? How much more or less?
Solution :
Effective price per bottle if we purchase 4 is, E = 5/4 = $1.25 .
Regular price, R = $1.69 .
Change in price, C = $( 1.69 - 1.25 ) = $0.44 .
Therefore, we are paying $0.44 less than the actual price.
Hence, this is the required solution.
The slope of a line perpendicular to another line has a
slope which is the negative reciprocal of that line or:
m1 = -1/m2
First, we convert the given equation into slope-intercept
form of a line: y = mx + b
8x + 15y = 12
15y = -8x + 12
y = (-8/15) x + 0.8
m1 = -8 / 15
Therefore the slope of the perpendicular line is:
m2 = 15 / 8
Since the perpendicular line crosses the point (11, 17), therefore
using the slope formula:
m = (y2 – y1) / (x2 – x1)
15 / 8 = (y2 – 17) / (x2 – 11)
1.875 (x2 – 11) = y2 – 17
1.875 x2 – 20.625 = y2 – 17
y2 = 1.875 x2 – 3.625
y = (15/8) x – 3.625
multiplying both sides by 8:
8y = 15x – 29
rewriting in standard form:
<span>15x – 8y = 29 (ANSWER)</span>
Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation:
<span>x(1^2)-2(1)+4(1^3)=6
x - 2 + 4 = 6
x + 2 = 6
x = 4 </span>
