Answer:
down 3, left 1.
reflection over y-axis
yes, the 2 figures are congruent
Step-by-step explanation:
Answer:
n = 25/2, or n = 12 1/2
Step-by-step explanation:
It's essential that you use parentheses here to show how your numerals are grouped. I have made some assumptions here, and believe you meant:
(1 1/2)(n - 4 1/2) = 12.
First, convert 1 1/2 and 4 1/2 into improper fractions:
(3/2)(n - 9/2) = 12
Multiplying both sides by (2/3) eliminates the fractional coefficient (3/2):
n - 9/2 = (2/3)(12), or n - 9/2 = 8.
Again, eliminate the fraction by multiplying all terms by 2:
2n - 9 = 16
Then 2n = 25, and n = 25/2, or n = 12 1/2
To write a percent as a decimal you move the decimal point two spaces to the left. Therefore the decimal best representing 27.2% would be .272
Answer:
The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
Answer:
nuber 1
Simplifying
3x + 2y = 35
Solving
3x + 2y = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = 35 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = 35 + -2y
3x = 35 + -2y
Divide each side by '3'.
x = 11.66666667 + -0.6666666667y
Simplifying
x = 11.66666667 + -0.6666666667y