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2 years ago

Question:

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

4 0

Answer:

substituting & graphing

Step-by-step explanation:

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If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)<br> is divided by X -2?

Bezzdna [24]

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

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2 years ago

Which property was used to simplify the expression?

Vadim26 [7]

Answer:

commutative property

Step-by-step explanation:

Either order or way you put the numbers, it will be the same answer.

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2 years ago

Use Cramer's rule to find the solution to the following system of linear equations.

slavikrds [6]

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form AX = B

$\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]$

The determinant

$= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1$

By using Cramer's Rule

Δ₁ = $\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right]$

The determinant is Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =

Δ₂ = -5 +35

y = Δ₂/Δ = 30

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