Answer:
P= -2x +46
Step-by-step explanation:
the relation between price and demand is
P= mx +b ........................1
when demand is 10 shirts price is $26
when demand is 20 shirts price is $6
firstly put P= 26 and x= 10 in 1
26= 10m + b.......................2
secondly put x= 20 and P= 6 in 1
6= 20m + b ............................3
solving 2 and 3 we get
m = -2
putting this value of m in either of 2 and 3 to get b
b= 46
so the final relation obtained by putting m= -2 and b= 46 in 1 we get
P= -2x +46
Answer:
5/6
Step-by-step explanation:
4,5,6- Numbers greater than 3
2,3- Prime numbers
Sample space={1,2,3,4,5,6}
P(E)=5/6
First find the area of the whole pizza.
The formula for area of a circle is Area = PI x r^2
The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.
I will use 3.14 for PI since the problem doesn't say what value to use.
Area = PI x 65.5^2
Area = 3.14 x 4290.25
Area = 13,471.39 square feet
Divide the total area by the number of pieces:
13,471.39 / 50 = 269.43 square feet
To find the length of the crust first find the circumference of the whole pizza:
Circumference = PI x diameter
Circumference = 3.14 x 131 = 411.34 feet
Now divide the total by the number of pieces:
411.34 / 50 = 8.23 feet
Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
Answer: probably (b) because negative x positive or plus equals negative
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Step-by-step explanation:
Answer:3
x
−
2
y
=
7
Explanation:
Write the standard form of the line that goes through
(
3
,
1
)
and is perpendicular to
y
=
−
2
3
x
+
4
.
The equation
y
=
−
2
3
x
+
4
is in slope intercept form
y
=
m
x
+
b
where
m
= slope and
b
= the
y
intercept.
The slope of this line is then
m
=
−
2
3
A perpendicular slope is the opposite sign reciprocal. So, we change the sign of
−
2
3
and switch the numerator and denominator.
Perpendicular slope
m
=
3
2
To find the equation of the new line, use the point slope equation
y
−
y
1
=
m
(
x
−
x
1
)
where
m
=
slope and
(
x
1
,
y
1
)
is a point.
The slope is
3
2
and the point is the given point
(
3
,
1
)
.
y
−
1
=
3
2
(
x
−
3
)
a
a
a
Distribute
y
−
1
=
3
2
x
−
9
2
Standard form is
a
x
+
b
y
=
c
where
a
,
b
and
c
are integers and
a
is positive.
a
a
2
(
y
−
1
=
3
2
x
−
9
2
)
a
a
a
Multiply the equation by
2
a
a
a
a
a
2
y
−
2
=
3
x
−
9
−
3
x
a
a
a
a
a
a
a
−
3
x
a
a
a
Subtract
3
x
from both sides
−
3
x
+
2
y
−
2
=
−
9
a
a
a
a
a
a
a
a
+
2
a
a
a
+
2
a
a
a Add 2 to both sides −
3
x
+
2
y
=
−
7
−
1
(
−
3
x
+
2
y
=
−
7
)
a
a
a
Multiply the equation by −
1
3
x
−
2
y
=
7
