Answer:
-31
Step-by-step explanation:
First let's plug in the value of z into the expression as it looks easier than expanding,
6(-1) + 5(-2(-1)-7)
Now we follow the order of PEMDAS,
6(-1) + 5(2-7)
6(-1) + 5(-5)
-6 - 25
-31
Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is

12 is a rational number.
Second expression is

is an irrational number.
Third expression is

21 is a rational number.
Fourth expression is

5 is a rational number.
Therefore, the correct options are 1, 3 and 4.
Answer:
All points between z = 0 and z = 7 along the z-azis in R3 x-y-z plane
Step-by-step explanation:
The inequality 1
z
7 represents all sets of points on the z-axis in the R3 plane that lies bewteen z = 0 and z= 7.
It is represents a line segment joining two point z= 0 and z=7 along z- axis in the R3 plane, while x=0 and y=0 on the x-y plane.
Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily