Answer: y=-5x-36
Step-by-step explanation:
In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.
slope(m) =-5
and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)
point slope formula: y-y1=m(x-x1)
y-4=-5(x--8)
simplify and pay attention to negative signs
y-4=-5(x+8)
y-4=-5x-40
y=-5x-36
:)
Answer:
8
Step-by-step explanation:
This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.
Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))
So first lets find f(2)
f(x) = x - 4
f(2) = 2 - 4
f(2) = -2
g(f(2)) , f(2) = -2 , g(-2)
now lets find g(-2)
g(x) = -2x + 4
g(-2) = -2(-2) + 4
multiply -2 and -2 to get 4
g(-2) = 4 + 4
add 4 and 4 to get 8
g(-2) = 8
We can conclude that g(f(2)) = 8
Answer: All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3x−1)=6x−2
Step 1: Simplify both sides of the equation.
2(3x−1)=6x−2
(2)(3x)+(2)(−1)=6x+−2(Distribute)
6x+−2=6x+−2
6x−2=6x−2
Step 2: Subtract 6x from both sides.
6x−2−6x=6x−2−6x
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Answer:
Step-by-step explanation:
let x = number of of hot dogs that 105 people will do
therefore
14 people = 21 hot dogs
105 people = x hot dogs
14 x 105 people = 21 x Xhotdogs
1470 = 21X
divide through by 21
1470/21 = 21X/21
70 = X
X = 70
therefore,
105 people will makev 70 hot dogs
The left 8 represents 8000 units.
The right 8 represents 8 units.
Their placement in the number is used to signify the multiplier for the number of units they represent. That is why the number system is called a "place value number system." Each time the digit is moved left one place, its value increases by a factor of 10.
