Answer:
The value of c is -8
Step-by-step explanation:
Given
Required
The value of c, when written in a general form.
The general form of a quadratic equation is written as ax² + bx + c = 0
To get the general form of , we start by converting the fraction to whole number.
This is done by multiplying both sides of the equation by the denominator of the fraction (4)
Multiply through by 4; This gives us
From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in )
So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives
Writing in a more general form, we have
By comparing ax² + bx + c = 0 to
a = 3
b = 0
c = -8
Hence, the value of c is -8
Answer:
<em>y = 6</em>
Step-by-step explanation:
Slope-intercept form:
y = mx + b
m = slope; b = y-intercept
A line with slope 0 is a horizontal line. Since one point on the line has y-coordinate 6, then all points on the line have y-coordinate 6. The y-intercept is 6.
m = 0; b = 6
y = mx + b
y = 0x + 6
y = 6
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
53 as a prime number would be 1 and 53
In converting between polar and rectangular coordinates, we take
so that the equation becomes
which we can rewrite as
so the answer is C.