Answer:
y = 1/2x - 9
General Formulas and Concepts:
<u>Alg I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 4x - 8y = 72
<u>Step 2: Find slope-intercept form</u>
- Subtract 4x on both sides: -8y = 72 - 4x
- Divide both sides by -8: y = -9 + 1/2x
- Rewrite: y = 1/2x - 9
Answer: 20%
Step-by-step explanation:
Rule of 3, let's put the money on the left and the percentage on the right of the chart.
Calculate the difference.
Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
<span>The mean of a set of data is 148.87 and its standard deviation is 68.29. Find the z score for a value of 490.19
the z-score is given by:
z=(x-</span>μ<span>)/</span>σ
plugging in the values in the expression we get:
z=(490.19-149.87)/68.29
z=340.32/68.29
z=4.9835
Answer:
3rd and 4th Options are correct choices.
Step-by-step explanation:
We have been given a graph and we are asked to find which of the given figures demonstrate translation.
Since we know that in translation every point of the object must be moved in the same direction and for the same distance. By translation we can shift a figure in upward, downwards, left and right directions.
Now let us see our given choices one by one.
1. Upon looking at figures represented by 1st option we can see that both figures are mirror images to each other. Since we can get mirror images reflecting the pre-image over an axis of symmetry. So the given figures are result of reflection, therefore, 1st option is not a correct choice.
2. We can see that the figures represented by 2nd option are similar. One figure is smaller and other is larger. Since we get a similar image by dilating our pre-image. Therefore, these figures are result of dilation and 2nd option is not correct indeed.
3. We can see that figures represented by 3rd option are same and these figures are result of shifting. We can see that 1st figure is shifted to right to get the second figure, therefore, 3rd option is a correct choice.
4. The figures represented by 4th option are same and these figures are result of shifting. We can see the figure in the bottom is result of shifting the upper figure downwards and then to right. Therefore, 4th option is a correct choice.