Question

Please help meeeeee with this

1.What is the constant in the expression?


−3x+4y+1.8−3x+4y+1.8


−3−3


1.8


3


4









2.How many seconds equals 4.2 hours?


Enter your answer in the box.









3.Solve for x.


−5x−4(x−6)=−3-5x-4(x-6)=-3










4.The formula for the average of two numbers is m=a+b2m=a+b2


Solve for a.


Enter your answer in the box.

a =










5.What is the solution to the inequality?


5(x−2)<−3x+6











6.What are the x- and y- intercepts for the line y−3=3(x+5)y−3=3(x+5)?



The x-intercept is

.


The y-intercept is











7.Which ordered pairs are on the line with equation y+3.5=0.75(x−2)y+3.5=0.75(x−2)?


Select each correct answer.


​ (4, 2)(4, 2) ​


​ (−4, −8)(−4, −8) ​


​ (7, 5.5)(7, 5.5) ​


​ (1, 1.75)(1, 1.75) ​












9.The local movie theatre has $85 to purchase new movie posters that cost $14.65 each and frames that cost $11.75 each where x is the number of purchased movie posters and y is the number of purchased frames.


Enter an inequality in standard form that represents this situation in the box.










13.The function f(x)=−4x+3f(x)=−4x+3 is a linear function. Let g(x)g(x) represent f(x)f(x) after a horizontal translation 2 units to the left.


What is the equation for g(x)g(x) ?




Enter the answer in the box.

g(x) =












14.A company employee has to print 3145 pages, and the company's printer prints 85 pages per minute. The function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins.


What is the practical domain of function f?


all whole numbers from 0 to 37


all real numbers from 0 to 37


all real numbers from 0 to 3145


all multiples of 85 between 0 and 3145

Answer 1

Question (1):
The constant in an expression will be the term having no variable in it.
The given expression is:
−3x+4y+1.8−3x+4y+1.8
The variables in this expression are x and y. Therefore, the constant would be the term having no x or y in it.
Answer: 1.8

Question (2):
We know that 1 hour has 60 minutes and that one minute has 60 seconds.
Therefore, 1 hour has 60*60 = 3600 seconds.
Using cross multiplication, we can find the seconds in 4.2 hours as follows:
4.2 hours = (4.2*3600) / 1
Answer: 4.2 hours has 15120 seconds

Question (3):
To solve for x, we would isolate the x on side of the equation as follows:
−5x−4(x−6)=−3
-5x - 4x + 24 = -3
-9x = -3-24 = -27
x = -27/-9
Answer: x = 3

Question (4):
To solve for a, we would need to isolate the a on one side of the equation as follows:
m = (a+b) / 2
2m = a + b
Answer: a = 2m - b

Question (5):
5(x−2) < −3x+6
5x - 10 < -3x + 6
5x + 3x < 6 + 10
8x < 16
x < 16/2
Answer: x < 2

Question (6):
Part (a):
To get the x-intercept, substitute with y = 0 in the equation as follows:
y−3=3(x+5)
0 - 3 = 3x + 15
3x = -3-15 = -18
x = -18/3
Answer: x-intercept is -6
Part (b):
To get the y-intercept, substitute with x = 0 in the equation as follows:
y−3=3(x+5)
y - 3 = 3 (0+5)
y - 3 = 15
y = 15+3
Answer: y-intercept is 18

Question 7:
To get the order pair that belongs to the line, we will substitute with the x-value of the given pair in the equation and solve for y. Then compare the calculated value with the given one as follows:
For x = 4:
y+3.5=0.75(x−2)
y + 3.5 = 0.75(4-2) = 0.75(2) = 1.5
y = 1.5 - 3.5 = -2 ........> This choice is wrong
For x = -4:
y+3.5=0.75(x−2)
y + 3.5 = 0.75(-4-2) = 0.75(-6) = -4.5
y = -4.5 - 3.5 = -8 ........> This choice is correct
For x = 7:
y+3.5=0.75(x−2)
y + 3.5 = 0.75(7-2) = 0.75(5) = 3.75
y = 3.75 - 3.5 = 0.25 ........> This choice is wrong
For x = 1:
y+3.5=0.75(x−2)
y + 3.5 = 0.75(1-2) = 0.75(-1) = -0.75
y = -0.75 - 3.5 = -4.25 .........> This choice is wrong
Answer: (−4, −8)

Question (9):
The posters (x) cost $14.65 each while the frames (y) cost $11.75 each. The total amount spent should not exceed $85. This means that the total amount spent should be less than or equal to $85
Answer: 14.65 x + 11.75 y ≤ 85

Question (13):
g(x) is equal to f(x) after translation of 2 units to the units.
This means that:
g(x) = f(x+2)
So, we will substitute the value of x in the given function with x+2 as follows:
g(x) = f(x+2)
g(x) = −4(x+2) + 3
g(x) = -4x - 8 + 3
Answer: g(x) = -4x - 5

Question (14):
The given function is:
f(x)=−85x+3145
Let's substitute with x = 37:
f (37) = −85(37)+3145 = 0
Substitute with x = 0:
f(0) = -85(0) + 3145 = 3145
This means that your range (the values for f(x)) would be all the numbers (starting zero) less than 37 (at 37, the function is zero meaning that all pages have been printed). They have to be whole numbers and not real numbers as real numbers include irrational numbers as well
Answer: all whole numbers from 0 to 37

Hope this helps :)