Answer: -1/9 which is <u>choice B</u>
Explanation:
The term "zeros" refers to the x intercepts.
Plug in y = 0 and solve for x.
y = -9x-1
0 = -9x - 1
9x = -1
x = -1/9
The answer is __ because the directions that the truck traveled are basically in the shape of a right triangle. From the warehouse to the airport, that's the slanted line, and from the warehouse to the factory, and the factory to the airport, those are the other lines.
To find the slant line of a right triangle, you want to use the Pythagorean theorem:
a^(2) * b^(2) = c^(2)
c being the slant line
In this case, we want to count how many boxes the other two lines are, then later factor in what units it's in. (meaning later we convert the boxes into miles)
The distance from the warehouse to the factory is 8, and the distance from the factory to the airport is 6. Now, we want to multiply 8 squared by 6 squared to equal c squared.
64+36 = 100
c squared = 100
Next, we have to find the square root of both sides of the equation.
c = 10
This means that there are 10 boxes in between the airport and the warehouse. Since one box = 44 miles, then we multiply our answer by 44 to find the real amount of miles that the truck traveled.
The distance from the warehouse to the airport = 440 miles
The distance from the warehouse to the factory = 352 miles (44*8)
The distance from the factory to the airport = 264 miles (44*6)
Now just add all the values together to find out how many miles in total the truck traveled.
440 + 352 + 264 = 1056
The student added 9 1/2 instead of adding -9 1/2
The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:
y=4x/5+1 now to rearrange into standard form ax+by=c
y=(4x+5)/5
5y=4x+5
5y-4x=5
So the answer is D.
However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.
5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:
4x-5y=-5
Apparently whomever/whatever posed this question to you was unaware of this convention :P
Step-by-step explanation:
f(x) = -16x² + 22x + 3
Factor:
f(x) = (8x + 1) (-2x + 3)
The x-intercepts are (-1/8, 0) and (3/2, 0).
The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.
x = (-1/8 + 3/2) / 2
x = 11/16
f(11/16) = 169/16
So the vertex is at:
(11/16, 169/16)
Graph the x-intercepts and the vertex, then draw a curve through the 3 points.
