Answer:
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
substitute
apply distributive property
see the attached figure to better understand the problem
<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get
=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26
Answer: 0.12
Step-by-step explanation:
There are 65 candy bars. Out of that;
2 candy bars have 300 to 350 calories
1 candy bar has 350 to 400 calories
4 candy bars have 400 to 450 calories
1 candy bar has 450 to 500 calories
The total proportion out of 65 candy bars that have over 300 calories is;
= ( 2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
