Answer:
See step by step answer
Step-by-step explanation:
the factors are (x+22)(x-10)=0
so x = -22 and 10, but a dimension cannot be negative, so the answer for x is 10 and then if you plug it back in the dimensions are 4 cm, 11 cm and 21 cm.
When you multiply 4 * 11 * 21 = 924, so you know it's correct.
Answer:
Step-by-step explanation:
The function must be factorable.
For example, x^2 + x - 6= 0 factors to (x + 3)(x - 2) = 0 so the roots are -3 and 2.
x^2 + x - 7 = 0 will not factor so you need another method to solve this.
Answer:
For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.
Step-by-step explanation:
Given equations are:
4x + 5y = 10
Ax + By = 16
The general form of linear equation in two variables is given by:

Here a, b and c are constants and x,y are variables.
In the given equations, after comparing with the general form

"In order for a system of equations to have infinity many solutions,
"
Putting the values we get

Hence,
For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.
Answer:

Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

Answer:
A Exactly 1 solution
Step-by-step explanation:
if we express both equations as y = mx+b
we will see that both equations have different slopes (i.e "m" values are different).
By definition, 2 straight lines of different slopes will intersect at only one location (i.e there is only one solution)