Answer:
<u>3</u><u>z</u><u>^2 + 3z - 6 </u>=0
3
3 (z^2 + z -2) = 0
3(z+2)(z - 1) = 0
z + 2-2 = 0 - 2
z = -2
z - 1 + 1 = 0 + 1
z = 1
Step-by-step explanation:
- factor out the GCF (3) and divide everything by it, and then set it equal to zero.
- since you have a degree of 2, factor it into two binomials that start with the square root of the first term and end with the square root of the second term.
- 3=0 is extraneous solution so we leave it, then we set each binomial equal to zero to solve for z.
note: your solutions is based on the degree or the exponent of the polynomial or the function.
Answer: 150
Step-by-step explanation: cube has six sides, each 10 cm x 10 cm = 100 cm²
One sticker is 2 cm x 2 cm = 4 cm². One side needs 100/4 = 25 stickers
Answer:
EC = 35
Step-by-step explanation:
The whole entire line measures 49
DB measures 30
49 - 30 = 19 or ED
But we’re looking for EC so…
19 + 16 = 35
EC = 35
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
Answer:
The correct answer is 54.76 years.
Step-by-step explanation:
The national health care expenditure (H) , in billion of dollars is modeled by
H = 29.57 × 
.
To measure the time before which national health expenditure reach 6000 billion dollars.
Thus putting the value of H = 6000 in the above modeled equation we get,
⇒ 6000 = 29.57 ×
⇒ 
=
⇒ 202.908 =
Taking logarithm with the base of e (㏑) both sides we get,
⇒ ㏑ 202.908 = ㏑
⇒ ㏑ 202.908 = 0.0970 × t
⇒ 0.0970 × t = 5.312
⇒ t = 
⇒ t = 54.76.
Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.
