Answer:
x=2/5, y=-3. (2/5, -3).
Step-by-step explanation:
10x+3y=-5
-5x-4y=10
----------------
10x+3y=-5
2(-5x-4y)=2(10)
-------------------------
10x+3y=-5
-10x-8y=20
-------------------
-5y=15
y=15/-5
y=-3
10x+3(-3)=-5
10x-9=-5
10x=-5+9
10x=4
x=4/10=2/5
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
2.42
Step-by-step explanation:
standard deviation= sqrt(variance)
Variance=E[X2] - E[X]2
E[X] = sum(X)/n=35/9, so E[X]2 = 1225/81
E[X2] =sum(X2)/n = 189/9 = 170/81
Variance= 476/81
Standard deviation = sqrt(476/81) ~2.42
Answer:
63 pounds
Step-by-step explanation:
Given data
Quantity of meat= 18 pounds
TIme taken= 2 hours
Rate= Quantity/Time taken
Rate= 18/2
Rate= 9 pounds per hour
Now time= 7 hours
Rate= 9 pounds per hour
Quantity= Rate*Time
Quantity= 9*7
Quantity= 63 pounds
Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)