First, lets solve f(x). g(x) is already given. Find the slope of f(x) by doing m = y2-y1/x2-x1. I'm going to use -1,-5 (1) and 0,-1 (2). -1-(-5) = 4 and 0-(-1) = 1. This means that the slope is 4 since 4/1 = 4.
Now find y intercept (b). Since we know that y=4x+b, we can solve this by plugging in an ordered pair. I will use -1,-5. -5 = 4(-1) +b. With this, we see that -5 = -4+b and b = -1 since -5 = -4-1.
Your equation for f(x) is y=4x-1.
A: The slopes are equal since both of them are 4.
B: g(x) has a greater y intercept since 3 > -1.
Answer:
They are 53, 55, 57, 59 and 61.
Step-by-step explanation:
We can write the integers as x, x+2, x+4, x+6 and x+8, so
x + x + 2 + x + 4 + x + 6 + x + 8 = 285
5x + 20 = 285
5x = 265
x = 53.
9514 1404 393
Answer:
A. 2 square feet
B. draw a diagonal; 1 square foot
Step-by-step explanation:
A. The area of a parallelogram is given by the formula ...
A = bh
Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...
A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram
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B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...
A = 1/2bh
Using the given dimensions, ...
A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle
Answer: 170.37 acres
Step-by-step explanation:
In 2005, x= 2005
Substituting x=2005 in the equation.
A(2005) = (2078x-94458)/(13x-2164)
A(2005) = 4071932/23901
A(2005) = 170.37 acres
The answer is "Design B bulbs will likely last longer than design A bulbs."
The box in a box plot represents the middle 50% of the data. The box for the design B bulbs is farther out than the box for the design A bulbs. Therefore, design B bulbs last longer on average than design A bulbs.
