All categories

3 years ago

What is the second term of the answer in standard form when you multiply (3x^2+2) by (4x^2+5x+4)

Mathematics

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

The second term in the answer is 15x³

Step-by-step explanation:

Let's do it!

(3x² + 2)(2x² + 5x + 4)

= 3x²(2x² + 5x + 4) + 2(2x² + 5x + 4)

= 6x⁴ + 15x³ + 12x² + 4x² + 10x + 8

= 6x⁴ + 15x³ + 16x² + 10x + 8

You might be interested in

Explain how to do <br> nx$3.25=$325.00

cupoosta [38]

N*3.25=325.00
N=325.00/3.25
N=100

4 0

2 years ago

Sander usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest

olga nikolaevna [1]

Answer:

I am not understanding the question ok

3 0

2 years ago

AABC~ ADEF. What is the scale factor?<br><br> Help please

vladimir1956 [14]

Answer:

3:1 or 3

Step-by-step explanation:

the left triangle is scaling up to the right triangle. 5/15 is 1/3

7/21 is 1/3

4/14 is 1/3

since it is scaling UP, the scale factor is 3:1

7 0

2 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Round to the nearest thousand . Use the number line to model your thinking

ivolga24 [154]

Answer:

Step-by-step explanation:

the line grath is your answer

YOU WELCOME

8 0

3 years ago