Answer:
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Step-by-step explanation:
Given that:
Scores of four tests
78, 89, 90 and 96
Let,
x be the score on fifth test.
Average is the sum of quantities divided by total number of quantities.
Average = 90
Average =
Putting the values in the formula;
Hence,
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Answer:
f(x) = 2.25x + 5
Step-by-step explanation:
As given, the cost of shipping a box is based on its weight in pounds, and a flat rate of $5 for packing. This means $5 is common for each parcel that will be sent. Only the weight will vary.
So, option first f(x)=2.25x+5 is the correct answer. Here 2.25 is the per pound rate. Like if someone wants to send a parcel weighing 3 pounds, the price will be :
f(x)=2.25*3 +5
= $11.75
The function that shows the shi[ping cost as a function of x is f(x) = 2.25x + 5.
The function tells us that there is a constant 5. This constant is the flat rate of 5 dollars which is the rate for packing.
X is a variable whose values can change based on the weight of the package that is to be sent.
Read more on functions here:
#SPJ2
b. 3x - y - 2 = 0
c. 3x + y - 2 = 0
The equation in general form of a line is Ax + By + C = 0. Option a, -3x - y + 2 = 0, is already in general form.
The equation of a line can be written in different forms, such as point-slope form or slope-intercept form. The general form of a line, also known as the standard form, is given by Ax + By + C = 0. To determine the equation in general form, we need to rearrange the given equation.
Option a: -3x - y + 2 = 0. This equation is already in general form.
Option b: 3x - y - 2 = 0. To convert this equation to general form, we add 2 to both sides: 3x - y = 2.
Option c: 3x + y - 2 = 0. To convert this equation to general form, we subtract 2 from both sides: 3x + y = 2.
Therefore, option a (-3x - y + 2 = 0) is already written in general form.
#SPJ3
x - 5y - z = 14
(-x) (-x) (subtracting x from both sides)
-5y - z = 14 - x
(+5y) (+5y) (adding 5y to both sides)
-z = 14 - x + 5y
(-z = 14 - x + 5y) * (-1) (multiplying both sides by -1 to make z positive)
z = -14 + x - 5y (Answer :))