For every c substitute 4 and for every d substitute -2
c=4
d=-2
6c + 5d - 4c - 3d + 3c - 6d
= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)
=24+(-10)-16-(-6)+12-(-12)
=24-10-16+6+12+12
=28
Answer: C
Step-by-step explanation: The standard equation is Ax + By = C
To solve for this, first solve for the slope: y2 - y1 / x2 - x1
0 - 5 / 4 - 0 = -5 / 4
Plug the slope and ordered pair of (0, 5) into the equation y - y1 = m(x - x1)
y - 5 = -5/4(x - 0)
Add 5 to both sides: y = -5/4x + 5
Subtract y and 5: -5 = -5/4x - y
Multiply the entire equation by 4: -20 = -5x - 4y
(or multiply entire equation by -4 to get 20 = 5x + 4y)
Answer: Joe hit the target 4 times.
Explanation: We can write this scenario as a system of equations.
Let’s express the number of times he hits the target with x.
Let’s express the number of times he misses the target with y.
“He earned 20 points each time he hit the target but lost 50 points when he miss. Joe ended the night with negative 470 points...”
20x - 50y = -470
“...after 15 shots.”
x + y = 15
Let’s write the whole system of equations.
20x - 50y = -470
x + y = 15
Let’s solve the second equation for y.
x + y = 15
Subtract x from both sides.
y = 15 - x
Let’s substitute y in the first equation with 15 - x.
20x - 50(15 - x) = -470
Distribute -50 among 15 and -x in the term -50(15 - x).
20x - 750 + 50x = -470
Combine like terms on the left side.
70x - 750 = -470
Add 750 on both sides.
70x = 280
Divide both sides by 70.
x = 4
Since we know that x = 4, we know that Joe hit the target 4 times.
because the x values are identical the radius would be found by subtracting the y values.
6-2 = 4
the radius is 4
Either way, he still has to pay his 835.90. the additional fee is 5 per day and he does'nt pay the rest in 3 days so thats $15.
$835.90 + 15 = $850.90