<u>B) </u>
<u>C) </u> volume = 
.
<u>Step-by-step explanation:</u>
Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :
a) show that 2x^2+5x-58=0
We know that area of rectangle = 
⇒ 
Putting values according to question we get :
⇒ 
⇒ 
⇒ 
b) solve the equation in the question above, giving your answer to 2 decimal places
Solving this equation :
⇒
By quadratic formula
⇒ 
⇒ 
⇒ 
⇒ 
{ Since side can't be negative ! }
⇒
c) calculate the volume of the box, stating units of you answer
Since x = 4.28 , other sides are
We know that volume is given by :
⇒ 
⇒ 
⇒
Therefore , volume = .
Answer:
25(a-2)(a+2)
Step-by-step explanation:
25a^2 -100
We can factor out 25
25(a^2 -4)
a^2 -4 is the difference of squares a^2-b^2= (a-b)(a+b)
where a =a and b=2
a^2 -4 = (a-2)(a+2)
25a^2 -100 = 25(a-2)(a+2)
Answer:
465
Step-by-step explanation:
Margin of error = critical value × standard error
ME = CV × SE
Assuming 95% confidence, CV = z = 1.96.
Standard error is:
SE = σ / √n
SE = 3.3 / √n
Given margin of error of 0.3:
0.3 = 1.96 × 3.3 / √n
n = 465
The answer is 64 because (2^3) is 8 with an exponent of 2 is 64
Answer:
For D. X= 3, or 0 but probably not 0
For the 2nd picture you sent, x= -2, or -3
Step-by-step explanation:
So for D. you want to make sure you only have 1 Variable, and since we know y=x squared + 7x+5, we subsitute y for what it is equal to.
Then we refine the question, which takes it out to
x squared-3x+5=5 (because the 7x-10x = 3x)
We subtract 5 from both sides which leaves us with x Squared - 3x= 0
Which we then solve with the Quadratic formula. and we separate the solutions to get the different answers for 3, and 0
