We are given that popularity of television is inversely proportional to its cost.
let us say popularity of television is represented by "P" and cost of television by "T".
We will use a constant "k" to convert the proportionality sign to equal to (=) sign.
Thus forming the equation :
We are given that 15 customers buy a television that cost $1500.
plugging P=15 and T=1500, finding k,
k=15*1500 = 22500
Next we have to find how many customers would buy a television that costs $2500, so here k=22500 and T=2500, plugging this in the equation we have ,
P=9
So there will be 9 customers that buy a television which costs $2500.
The answer is B.
Slope-intercept line is written as:
y=mx+b
m=slope
b=y-intercept
4 is the y-intercept because the line crosses the y-axis at 4.
The slope is -2 over 5, because slope is written as y over x.
So, if you start at the point at the 4, count 2 spaces down and 5 spaces right. The line crosses the point exactly, which is how you know the slope is accurate.
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
a) algebraic expression
b) Solve and find value of x
x=47
Step-by-step explanation:
We need to translate the following verbal phrase into an algebraic equation
The quotient of three more than a number and five is ten
Let the number be x
three more than a number is written as: 3+x
Since quotient is 10 so,
The algebraic expression will be:
Now, <u>solving to find value of x</u>
Multiplying both sides by 5
Now Subtract -3 from both sides
So, value of x=47
Learn More:
- You can find more info about translating verbal phrase into an algebraic equation
brainly.com/question/1600376
brainly.com/question/1617787
- For finding value of x, more info can be found at:
brainly.com/question/1616605
Keywords: verbal phrase, algebraic expression
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