Answer:
From the graph, the slope is -4/5 and the y-intercept is 4 so the slope-intercept equation is y = -4/5x + 4. To convert to standard form we'll do:
y = -4/5x + 4
5y = -4x + 20
4x + 5y = 20
Answer: x = 2 sqrt(3)
Explanation:
x = 6/sqrt(3)
Rationalize denominator
x = 6 x sqrt(3)/sqrt(3) x sqrt(3)
x = 6 sqrt(3)/3
x = 2 sqrt(3)
Answer:
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = 7.5/10
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .
Mass = density x volume
Mass = 3.5 x 20 = 70 grams