Answer:
Step-by-step explanation:
y = kx represents a proportional relationship between x and y
where,
k is the constant of proportionality
Given:
d = st
Where,
d = distance
s = speed
t = time
The constant of proportionality of the quantities d, s and t is speed(s)
Speed(s) remains constant at a given time and distance
The equation can be written in different forms below:
d = st
S = d/t
t = d/s
Real world example of proportional relationships
• F=ma
Where,
F=Force
m=mass
a=acceleration
F=ma is used to calculate force
The answer is 210 just multiply 420 by 7 cause theres 7 days is a week you get 2,940 minus from 3,150
Answer:
For $1 its 12.5lbs
Step-by-step explanation:
y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
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4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
