The remainder is 8 in the given synthetic division problem. which is the correct answer would be option (B).
<h3>What is the division operation?</h3>
In mathematics, divides left-hand operands into right-hand operands in the division operation.
In the given synthetic division, the coefficients of terms are 4,6, and -2.
Fill in the first coefficient as it appears on the bottom line.
Now multiply 1 by 4 and write the result (i.e., 4) underneath the second coefficient in the center line.
Now multiply 6 by 4 and write the result (i.e., 10) in the bottom row.
Now multiply 1 by 10 and write the result (i.e., 10) below the third coefficient in the center line.
Now add -2 with 10 and write the result (i.e., 8) in the bottom row.
The first two terms now indicate the polynomial coefficient, while the last term shows the remainder.
Therefore, the remainder is 8 in the given synthetic division problem.
To learn more about the division operation click here :
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You cannot subtract a number from a unknown. You’d simply put (9-b) in its place.
1 ticket costs $27, 2 tickets cost $54, 3 cost $81, 4 cost $108, and 5 cost $135.
There is a $27 difference between each ticket above or below
Answer: b) the tiles are not similar because both SP:SR is 5:4 and MJ:ML is 5:2
<u>Step-by-step explanation:</u>
We are given that the tiles are rectangular which implies that they both have a 90° angle.
In order to prove similarity, We need to show that the lengths and widths are proportional.
P Q R S
J K L M
a) PQ : QR JK : LM
w=4 L=5 w=2 w=2
↓
We need Length (not width)
b) SP : SR MJ : ML
L=5 w=4 L=5 w=2
5 : 4 5 : 2
When comparing length to width they do not have the same ratio so the rectangles are not similar.
c) PQ : QR JK : KL
w=4 L=5 w=2 L=5
4 : 5 2 : 5
When comparing width to length they do not have the same ratio so the rectangles are not similar.
d) SR : ML PQ : JK
w=4 w=2 w=4 w=2
↓ ↓
We need Length (not width)
Answer:
The height at time of 12.1 seconds is approximately 729.2562 feet
Step-by-step explanation:
The general form of the quadratic regression equation is y = A + Bx + Cx²
The quadratic regression formula is given as follows;
Solving using an online quadratic regression calculator, gives;
A = 2.5643259
B = 246.6374865
C = -15.41986006
Substituting gives;
y = 2.5643259 + 246.6374865·x -15.41986006·x²
When time, x = 12.1, we have;
y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet
The height at time of 12.1 seconds ≈ 729.2562 feet.
