Answer:
The value of the y-coordinate is -706
Step-by-step explanation:
The equation of a straight line is;
y = mx + c
where m is slope and c is t-intercept
Given the slope, we can write the equation as;
y = -79x + c
we need to get c
Just put in the x and y values of the given point
X = -6 and y = 5
5 = -79(-6) + c
5 = 474 + c
c = 5-474 = -469
So the complete equation of the line would
be ;
y = -79x - 469
To get the y-coordinate of the point, just insert the x value into the equation;
y = -79(3) - 469
y = -237 - 469 = -706
4) 4m, 18, and g
5) 4n means 4xn
Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets
Answer:
y = 2/3(x - 3)
Step-by-step explanation:
slope of the line is 2/3
we can use point (3,0)
formula: y - y = m(x - x)
y - 0 = 2/3 (x - 3)
y = 2/3(x - 3)
<h2>
<em> </em><em>Answer:</em></h2>
<em>-</em><em>3</em>
<em>Explanation</em><em>:</em>
<em>Rate </em><em>of </em><em>change </em><em>in </em><em>the </em><em>interval</em>
<em>X=</em><em>0</em><em> </em><em>to </em><em>X=</em><em>3</em><em> </em><em>is </em><em>given </em><em>by,</em>
<em>
</em>
