Answer:
9, 12, 15
Step-by-step explanation:
Using the recursive formula and T₁ = 6 , then
T₂ = T₁ + 3 = 6 + 3 = 9
T₃ = T₂ + 3 = 9 + 3 = 12
T₄ = T₃ + 3 = 12 + 3 = 15
Answer:
No
Step-by-step explanation:
Based on the table, it would not have been from a linear function. To have a linear function, the x and y values would have to be increasing/decreasing at a constant rate.
This is the change from the first (x, y) pair to the second. Now, let's see if the next has the same change:
-7+4=-3
4-3=1
-3+4=1
3-2=1
Now, let's check the last one:
1+6=7
2-1=1
The y value is still changing by -1, but the x value has been increased by a different amount, therefore it is NOT a linear function.
Answer:
823
<u>Method 1</u>
Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)
197 = 1 hundred, 9 tens, 7 units
203 = 2 hundreds, 0 tens, 3 units
423 = 4 hundreds, 2 tens, 3 units
Units: 7 + 3 + 3 = 13
Tens: 9 + 2 = 11 tens = 110
Hundreds: 1 + 2 + 4 = 7 hundreds = 700
Add these together: 700 + 110 + 13 = 823
<u>Method 2</u>
First add 203 to 197:
Borrow the 3 from 203 and add it to 197: 197 + 3 = 200
Add the remaining 200: 200 + 200 = 400
Now add 423 to 400: 400 + 423 = 823
⇒ 203 + 197 + 423 = (203 + 197) + 423
= 400 + 423
= 823
Answer:
-1 = -4
0 = -3
-5 = -8
-2 = -5
Step-by-step explanation:
What you are doing is adding -3 to each number. An equation will look like:
x+-3=y. You will then take the x and plug it into the x and you will find the y.
-1+-3=-4.
You will do this for each one.
Answer: 0.75
Step-by-step explanation:
We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.
We now have a triangle with the values of:
x = 4
y =3
h^2= 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
h = 5
h = 5
Tangent = opposite/adjacent
= y/x
= 3/4
= 0.75
