Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
Answer:
y= -4x+22
Step-by-step explanation:
slope= -4
-6=-4(7)+b
-4x7=-28
-6=-28+b
28-6=22
so the equation would be y= -4x+22
b=y-intercept
mx=slope multiplied by x
Answer:
Lane Viking's Score is 17
Black Eagles's Score is 21
Step-by-step explanation:
Let Lane Viking's Score be x and Black Eagles's Score be y.
Black Eagles's Score = 4+ Lane Viking's Score
so y = 4 + x (Equation 1)
Total Score = 38
Black Eagles's Score + Lane Viking's Score = 38
so y + x =38 (Equation 2)
Putting y's value from Equation 1 in Equation 2
4 + x + x = 38
2x = 38-4
x=34/2
x=17
Putting value of x in Equation 1
y = 4 + 17
y = 21
Answer:
area = 121.5
Step-by-step explanation:
See below for a plot and the integral. We assume you are interested in the entire bounded region.
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Question:
Solution:
Let the function
![y=f(x)\text{ = }\sqrt[]{x}-9](https://tex.z-dn.net/?f=y%3Df%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7Bx%7D-9)
Now remember the following rule:
To graph y = f(cx)
if 0 < c < 1 , stretch the graph of y = f(x) horizontally by a factor of 1/c.
Thus, applying this to the given function, with c = 3, we can conclude that the correct answer is:
![y=f(x)\text{ = }\sqrt[]{\frac{1}{3}x}-9](https://tex.z-dn.net/?f=y%3Df%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%5Cfrac%7B1%7D%7B3%7Dx%7D-9)
