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3 years ago

Which shows one way to determine the factors of y3 – 9x2 + 5x – 45 by grouping

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

(x²+5)(x-9)

Step-by-step explanation:

Assuming that you are asking to factor by grouping:

x³ - 9x² + 5x – 45

You can group:

x²(x-9) + 5(x-9)

and then combine the x² and 5:

(x²+5)(x-9)

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Please help, having a bit of trouble with it.

Dimas [21]

Answer:

.9b+2

Step-by-step explanation:

You first add 3.8b and -2.9b which equals .9b

Then you add -7 and 9 which equals 2

Hope this helped!

4 0

3 years ago

A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inche

evablogger [386]

The area of the frame not covered by the painting is 192 square inches

Solution:

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

$Area = length \times width$

Find the area of painting without frame:

Length = 20 inches

Width = 24 inches

$Area\ Without\ Frame = 20 \times 24 = 480$

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

Find the area of painting with frame:

Length = 24 inches

Width = 28 inches

$Area\ with\ frame = 24 \times 28 = 672$

Thus area of painting with frame is 672 square inches

What is the area of the frame not covered by the painting

Area of the frame not covered by the painting = Area with farme - Area without frame

Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

4 0

3 years ago

Express XCVI to Hindu Arabic numerals.

ozzi

Answer:

XCVI in Hindu Arabic numerals. is 96 (100-10+5+1)

6 0

3 years ago

Which expression is a factor of 10x^2+11x+3

Ulleksa [173]

Answer:

The factors are (5x + 3) and (2x + 1)

Step-by-step explanation:

When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.

The general form of a quadratic is ax² + bx + c

Factor: 10x² + 11x + 3

Here a = 10, b = 11, and c = 3

Step 1: Multiply ac, we SLIDE a over to c. Notice the 10 is gone for now..

x² + 11x + 30

Step 2: Factor this (this step will always factor)

x² + 11x + 30 = (x + 5)(x + 6)

So the factors are (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before. We divide the constants in the factors...

(x + 5/10 )(x + 6/10 )

Now reduce the fractions as much as possible...

(x + 1/2 )(x + 3/5)

*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....

(2x + 1)(5x + 3) *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!

These are our factors!

5 0

3 years ago

What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27

Tcecarenko [31]

Answer:

Step-by-step explanation:

Hope this helps!

7 0

2 years ago