It will cost atleast 78 dollars
128x2.5= 320
320/50=6.4
needs 6.4 fluid ounces of oil
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
ANSWER
A. x = 2, √11, -√11
EXPLANATION
To find the zeros of f, which is a 3rd-degree polynomial, we can try some common values to see if any of them is a zero: 1, 2, -1, -2. In this case 2 is a zero of the function:
Now we can reduce our polynomial by dividing it by the factor (x - 2) and obtain a 2nd-degree polynomial, whose zeros are easier to find:
So we can rewrite f(x) as:
To find the other two zeros we have to solve:
Add 22 to both sides of the equation:
Divide both sides by 2:
And take square root. Remember that the square root has a positive and a negative result:
So the other two zeros are √11 and -√11.
The three real zeros of f are 2, √11 and -√11
Answer:
A. y = 2x -9
B. y = -1/2x +1
Step-by-step explanation:
The given line is in slope-intercept form
y = mx + b
where m is the slope. For your given line, the slope is 2.
A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:
y = m(x -h) +k . . . . . for slope m through point (h, k)
You want the equation of the line through (4, -1) with slope 2, so its equation is ...
y = 2(x -4) -1
Simplifying to slope-intercept form, this becomes ...
y = 2x -8 -1
y = 2x -9
___
B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...
m = -1/2
As above, the point-slope form of the perpendicular line is ...
y = -1/2(x -4) -1
y = -1/2x +1 . . . . . after simplification