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PSYCHO15rus [73]
3 years ago
6

Use the remainder theorem to determine whether x - 2 is a factor of

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

A

Step-by-step explanation:

To determine if (x - 2) is a factor of f(x)

Evaluate f(2) and if equal to zero then (x - 2) is a factor

f(2) = 2³ + 3(2)² - 2 - 18

     = 8 + 12 - 2 - 18

     = 0

(x - 2) is a factor of f(x) because f(2) = 0 → A

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Hard math question!
luda_lava [24]
First, let me show you some notation.

To show a matrix is an inverse of another matrix, we write A^{-1}

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.

For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.

Then multiply each entry in the matrix by 1 divided by the determinant.

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = 
  \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] =  \\  \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right]

I hope this helped!
8 0
3 years ago
What is the area of the composite figure?
ivolga24 [154]

Answer:

745.4 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle 25 cm by 20 cm and a semicircle of radius 12.5 cm.

We add the two areas to find the total area.

total area = area of rectangle + area of semicircle

TA = LW + (1/2)(pi)r^2

TA = (25 cm)(20 cm) + (1/2)(3.14159)(12.5 cm)^2

TA = 500 cm^2 + 245.4 cm^2

TA = 745.4 cm^2

7 0
3 years ago
Booneville Middle School spends $22 for every workbook it buys. At most how many
Kipish [7]

Answer:

2

Step-by-step explanation:

$44 / 22 = 2

6 0
3 years ago
On a mountain, the temperature decreases by 18°F every 5000 feet. What integer represents the change in temperature at 20,000 fe
gizmo_the_mogwai [7]
18 times 4 = 72

Because 5000 times 4 = 20,000

The change in temp. is -72degrees
8 0
3 years ago
Thanks that helped a lot with my math homework!:):):)
frosja888 [35]
:):):):):):):):):):)
8 0
4 years ago
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