Answer:
(-2, 4.111)
(-1, 4.333...)
(0,5)
(1, 7)
Step-by-step explanation:
So for this, you just substitute x with a cero to obtain the x-axis.
So, (0,5)
Then, you do the same with other numbers (replace x) and get the points to later graph it.
Also, you can use desmos, it really helps
I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.
The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.
Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:
We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction (
).
74 + 2 = 76
Putting these two together, we get 
, which is equal to 
.
We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:
77 x 8 = 616
616 + 1 = 617
The denominator stays the same, so our answer as an improper fraction would be 
.
So the tree is inches tall, or inches tall.
Answer:
Option D, 0.32 meters per second
Step-by-step explanation:
<u>Step 1: Find the unit rate at which Matt needs to swim</u>
Make an equation to represent the scenario.
<em>25m = 8</em>
<u>Step 2: Solve for m by dividing both sides by 25</u>
25m / 25 = 8 / 25
<em>m = 0.32</em>
<u>Step 3: Check</u>
To check, you can multiply the number of second, 25, by the meters per second to see if you get the total meters, 8.
0.32 * 25
<em>8</em>
So, the answer is correct :)
<u><em>0.32 means that Matt needs to swim 0.32 meters per second to qualify as a state swimmer.</em></u>
Answer: Option D, 0.32 meters per second
Hi! This might be long but I hope it helps!
1. 115. If q=4, then the equation tells us that 0.1d+(0.25)⋅4=12.5. Subtracting 1 from both sides gives 0.1d=11.5, so d=115.
2. 100. If q=10, then the equation tells us that 0.1d+(0.25)⋅10=12.5. Subtracting 2.5 from both sides gives 0.1d=10, so d=100.
3. Yes. If you know the number of quarters, then you can determine the number of dimes from the equation. We can even write the equation in a way that shows this: d=125−2.5q. The expression 125−2.5qrepresents the output—it is the rule that determines the output d from a given input q.
