Answer:
170 heart beat per minute.
Step-by-step explanation:
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.
So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be
y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)
{Taking the larger integer value}
multiply width times the height to get the rectangle area
5 x 7 = 35 units squared
I may be wrong but I think you may be over complicating it its okay I do that a lot too
Answer:
A.) -84
B.) -6
Step-by-step explanation:
I hope I helped! ^-^
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.
Assuming you have those, the first step is to find the y-intercept.
That is done by replacing
and
in the general formula by their coordinated counterparts, and replacing
by the slope that is given to you.
Let's assume the coordinates you are given are
, and the slope you are given is 1.
By substituting into the general formula...

...we can see that it is possible to find the y-intercept (
).
Knowing the y-intercept, it is possible to plot the line and solve any question.
I'll leave a picture of the example used above when graphed.