Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.
10 more than (+) twice a number (2x) is (=) 36
10 + 2x = 36 Subtract 10 from both sides
2x = 26 Divide both sides by 2
x = 13
Answer: Plant 1!
Step-by-step explanation:
Answer:
c=120x+200y
Step-by-step explanation:
La expresión algebraica debería indicar que el valor total que debe cobrar Flor es igual a 10 que representa el número de bolsas por el resultado de la suma del precio de cada item por la cantidad, lo que se puede expresar de la siguiente forma:
c=10(12x+20y)
c=120x+200y
De acuerdo a esto, la expresión algebraica que permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos es c=120x+200y.
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After 
seconds it reaches a height of 60 cm from the ground.
i.e
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
replacing the derived equation of k into R(t) = acos (bt) + d
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For 
where ;
Then b = 6
∴
R (t) = 60 - 60 cos (6t)
