Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/27/20 Time:
Answer:
x = -1
Explanation:
Step 1: Simplify both sides of the equation.
−2(x+3)=−4(x+1)−4
(−2)(x)+(−2)(3)=(−4)(x)+(−4)(1)+−4(Distribute)
−2x+−6=−4x+−4+−4
−2x−6=(−4x)+(−4+−4)(Combine Like Terms)
−2x−6=−4x+−8
−2x−6=−4x−8
Step 2: Add 4x to both sides.
−2x−6+4x=−4x−8+4x
2x−6=−8
Step 3: Add 6 to both sides.
2x−6+6=−8+6
2x=−2
Step 4: Divide both sides by 2.
2x = -2
/2 /2
x=−1
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
Answer:
slope = -2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.
y + 2x = 5 <----- Given equation
y = -2x + 5 <----- Subtract 2x from both sides
Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.
Step-by-step explanation:
We find the equation of the solid blue line:
The line decreases by 1 unit for every 3 units across.
=> Slope of line = -1/3.
Also the y-intercept is 1.
=> Line equation: y = -1/3 x + 1.
We see that the graph below this line is shaded.
Therefore all y-values below or on the line are represented by the graph.
=> y <= -1/3 x + 1.
The answer is y <= -1/3 x + 1.
Answer:
a) Scores of 2 and higher are significantly high
b) Scores of -2 and lower are significantly low
c) Scores between -2 and 2 are not significant.
Step-by-step explanation:
Mean = 0
Standard deviation = 1
a. significantly high (or at least 2 standard deviations above the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
So scores of 2 and higher are significantly high
b. significantly low (or at least 2 standard deviations below the mean).
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores of -2 and lower are significantly low
c. not significant (or less than 2 standard deviations away from the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores between -2 and 2 are not significant.
