Answer: (6,0)
Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.
So we have 2x - 3(0) = 12.
Simplifying from here, we have 2x = 12.
Now divide both sides by 2 and we get <em>x = 6</em>.
So our x-intercept is 6.
This means that our line crosses the x-axis 6
units to the right of the origin or at the point (6,0).
Answer:
b. the area to the right of 2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:




Percentage who did better:
P(Z > 2), which is the area to the right of 2.
Hey there! :)
When teachers ask you for the standard form in math, they are asking you to find the simplest form an equation with variables can be in.
Ax + By = C
Example : put y=2x -3 into standard form.
Subtract 2x from both sides.
-2x + y = -3 —> standard form.
Hope this helped! :)
First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.
-2 ( 2x + 18y = -9) = -4x -36y = 18
Then, we combine the two equations.
-4x + 4x = 0
18y - 36y = -18y
-27 + 18 = -9
Our new equation is -18y = -9.
Now, divide both sides by -18.
-18y / -18 = y
-9/ -18 = 1/2
y = 1/2
We can plug in a value for y since y = 1/2 now.
Let's use 2x + 18y = -9
Plug in y.
2x + 18(1/2) = -9
2x + 9 = -9
Then, subtract 9 from both sides.
2x = -18
Divide by 2.
2x/2 = x
-18/2 = -9
x = -9
Lastly, we can plug in both x and y values to see it works.
2(-9) + 18(1/2) = -9
-18 + 9 = -9
Therefore, the values of x and y does work.
x = -9
y = 1/2
Answer:
C and D
Step-by-step explanation:
So from the equation <em>y = 1.26x + 9.49</em> we can gather that <em>9.49</em> is an initial value because it has to be added to the number with a variable <em>( 1.26x)</em>
Because <em>1.26</em> has a variable of <em>x </em>and x represents a week, we know that the number<em> 1.26 </em>will increases in value depending on how many weeks have passed.