Answer:
First one: x = 3, and y = 2
Second: 5
Third: Yes because he will have $37.50
Fourth: The numbers 2.5 and 3 will make it true
Step-by-step explanation:
1. 4(3) + 2(2) + 3 = 12 + 4 + 3 = 19
2. 4x + 2 = 22, 4x = 20, x = 5
3. 2.25y + 7.25z + 11.25, 2.25(2) + 7.25(3) + 11.25 = 4.5 + 21.75 + 11.25 = 37.5
He will get $37.50, which is enough.
4. The numbers 2.5 and 3 will make it true: 2(2.5) + 3 = 5 + 3 = 8, 2(3) + 3 = 6 + 3 = 9, the numbers below it won't make it true.
Complete question :
There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.
Answer:
575 - 12t
Step-by-step explanation:
Given the following :
Total number of fireworks = 575
Number of shots per minute = 12
To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.
In algebraic terms
[total number of fireworks on display - (number of shots per minute × t)]
575 - 12t
-9(3-r)=45
-27+9t=45
9r=45+27
R=72/9
R=8
The answer is 8 not -8
<h2>
Answer:</h2>
A. It is a many-to-one function.
<h2>
Step-by-step explanation:</h2>
Hello! It will be a pleasure to help to figure out what's the correct answer to this problem. First of all, we have the following function:
When plotting this function, we get the red graph of the function shown below. So let's solve this as follows:
<h3>A. It is a many-to-one function.</h3>
True
A function is said to be many-to-one there are values of the dependent variable (y-values) that corresponds to more than one value of the independent variable (x-values). To test this, we need to use the Horizontal Line Test. So let's take the horizontal line 
, and you can see from the first figure below that is mapped onto 
. so this is a many-to-one function.
<h3>B. It is a one-to-one function.</h3><h3>False</h3>
Since this is a many-to-one function, it can't be a one-to-one function.
<h3>C. It is not a function.</h3>
False
Indeed, this is a function
<h3>D. It fails the vertical line test.</h3>
False
It passes the vertical line test because any vertical line can intersect the graph of the function at most once. An example of this is shown in the second figure below.
