The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Step-by-step explanation:
Let,
x be the charge per hour for mowing lawns
y be the charge per hour for walking dogs
According to given statement;
10x+4y=62 Eqn 1
8x+5y=55 Eqn 2
Multiplying Eqn 1 by 5
Multiplying Eqn 2 by 4
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 18
Putting in Eqn 1
Dividing both sides by 4
The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Keywords: linear equation, subtraction
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Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Answer:
3.35 decimeter.
Step-by-step explanation:
We have been given that the first week, the plant's height measured 2.65 Decimeters. During the second week, Tania''s plant grew 0.7 Decimeter.
To find the height of Tania's plant at the end of second we will add 0.7 to 2.65.
Therefore, Tania's plant was 3.35 decimeter tall at the end of 2nd week
The answer is C: 36%
20/55 = .3636 repeating
Slope is the change in the y value over the change in the x value. The y value goes from 4 to -3. The change would be -7. X goes from 0 to 2, so the x change is 2. The slope is then (-7/2), or answer c
