Answer:
slope(m) = y2 -y1/ x2 - x1
m = -1 - 2/ 2 - 1
m = -3/1 ; m = -3
using the formula y -y1 = m(x - x1)
y - 2 = -3( x -1)
y -2 = -3x +3
collect like terms
3 +2 = y + 3x
y + 3x = 5
y = -3x + 5( y = mx + c)
equation of the line= y = -3x + 5
Answer:
The value of x is 3
Step-by-step explanation:
The stage is rectangular in shape.
The formula for area of a rectangle is:
Length × Width
Length = 24 feet
Width = 4x + 4 feet
Hence:
384 = (4x + 4) × (24)
384 = 96x + 96
Collect like terms
384 - 96 = 96x
288 = 96x
x = 288/96
x = 3
The value of x is 3
The total amount that the person will pay for each banana is $6.51.
<h3>How much will the person pay for the bananas?</h3>
The amount that the person will pay in total for the bananas is:
= Quantity of bananas x Price of bananas
Solving for the total cost gives:
= Quantity of bananas x Price of bananas
= 5.6 x 1.17
= $6.51
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Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
inequality could be used to find the number of models Walt builds. Correct option B).
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒ 
But , according to question Dwight builds at most 9 models i.e.
⇒
⇒ 
⇒ 
⇒ 
Therefore , inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .
