Answer:
Step-by-step explanation:
The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values from the given points into the formula:
m = (4 - (-8)) / (12 - (-6))
m = (4 + 8) / (12 + 6)
m = 12 / 18
m = 2/3
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).
Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:
-8 = (2/3)(-6) + b
-8 = -12/3 + b
-8 = -4 + b
b = -8 + 4
b = -4
Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.
#SPJ2
The number that is 20% larger when read from left to right than when read from right to left is 24.
The question asks for a two-digit number which is 20% larger when read from left to right than it is when read from right to left. Let's denote the digit in the tens place as 'a' and the one in the units place as 'b', then the two-digit number can be written as 10*a + b. When reversed, this becomes 10*b + a.
According to the question, 10*a + b is 20% (or 1.2 times) greater than 10*b + a. So, we can set up the following equation: 1.2(10*b + a) = 10*a + b.
When you solve this equation, the solution is a = 2 and b = 4, so the number the question is asking for is 24
#SPJ2
Answer:
54
Step-by-step explanation:
We'll call the number "ab".
From left to right, the value of this number will be .
From right to left, the value of this number will ve .
From the question,
For a and b to be whole numbers,
So the number is 54.
Equation D: y = 3x + 2
How many solutions are there to the given set of equations?
Good morning Brainiac
y=3x+7
y=3x+2
We need to solve y=3x+7 for y
Substitute 3x+7 for y in y=3x=2
y=3x+2
3x+7=3x+2
Add -3x
3x+7-3x=3x+2-3x
7=2
Add -7
7-7=2-7
0=-5
No solutions
It was my pleasured to help you :)