Answer:
The value of x when f(x) equals 6 is 3/5.
Step-by-step explanation:
In order to solve this problem, we shall start by inputting what we know.
Since the problem provides you with the value of f(x), we will input the value in the given equation.
Original Equation: f(x) = 5x + 3
New Equation: 6 = 5x + 3
Now that all known values of variables have been added to the equation, we will begin to solve.
Start by subtracting both sides of the equation by 3. This step is necessary to isolate x in order to find it's value.
6 = 5x + 3
6 - 3 = 5x + 3 - 3
3 = 5x
Next, we shall divide both side of the equation by 5. This step will allow us to isolate x and finally solve its value.
3 = 5x
3/5 = 5x/5
3/5 = x
Thus, the value of x in f(x) = 5x + 3 is 3/5.
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To be sure your answer is correct, insert the values of both f(x) and x into the equation provided and solve like so...
f(x) = 5x + 3
6 = 5(3/5) + 3
6 = 3 + 3
6 = 6 ✅
Answer:
Kanye run faster.
Step-by-step explanation:
Given that,
Time = 1 min = 60 sec
Suppose, we find the speed of kanye and Jay.
According to number line,
Kanye covers the -160m distance and Jay covers the 140 m distance.
Negative sign shows the opposite direction.
We need to calculate the speed of Kanye
Using formula of speed

Where, v = speed
d = distance
t = time
Put the value into the formula


We need to calculate the speed of Kanye
Using formula of speed

Put the value into the formula


The speed of kanye is more than jay.
Hence, Kanye run faster.
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
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