2z^4-10z^3+4z^2 factorable?

Answers

Answer 1

Answer: yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)

the factored form is
(2z^2)(z-1)(z-4)

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A newborn weighs 8 pounds and 5 ounces. There are 453.59 grams per pounds. What is the infant's weight in grams ?

Answers

453.59x8=3628.72

5 ouces= 453.59/16x5=141.746875

141.746875+3628.72=3770.466875 grams

hope this helps

the line defined by the equation y=-(4/7)x+5 is prependicular to the line defined by which equation ? (1) y=(4/7)x+3 (2) y=-(4/7)x+3 (3) y=-(7/4)x+3 (4) (7/4)x+3

Answers

y=mx+b
m=slope

perpendicular lines have slopes that multiply to -1

the line we have is y=-4/7x+5
therefor
if the slope we are looking for is m
(-4/7)m=-1
times -7/4 both sides
m=7/4
we are looking for
y=7/4x+b

last one is answer

Which of these is a subset of rational number

Answers

Subsets of rational numbers are like whole numbers, integers, and fractions :) hope this helps

Subsets of rational numbers are like whole numbers, integers, and fractions i hope i am the brainliest i need it for the next rank

the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.

Answers

Answer:

2 x 10^5

Step-by-step explanation:

Given

Population of China = 1.4 x 10^9
Population of town = 7000 = 7 x 10^3

The difference in population

1.4 x 10^9 / 7 x 10^3 =
14 x 10^8 / 7 x 10^3 =
2 x 10^5

The population of China is 0.2 million times greater than the population of Julie's hometown.

What is the population?

To find out how many times greater the population of China is than Julie's hometown, we can set up a ratio using scientific notation:

Population of China = 1.4 x 10⁹

Population of Julie's hometown = 7,000 = 7 x 10³

Ratio = Population of China / Population of Julie's hometown

Ratio = (1.4 x 10⁹) / (7 x 10³)

Now, divide the numbers and subtract the exponents of 10:

Ratio = $2 * 10^((8 - 3))$

Ratio = 0.2 x 10⁶

So, the population of China is 0.2 million times greater than the population of Julie's hometown.

Learn more about population here: brainly.com/question/29885712

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Factor the following expression, and verify that the factored expression is equivalent to the original: 4x^2-9a^6

Answers

Answer:

(2x - 3a³) ,(2x + 3a³)

Step-by-step explanation:

Given that

4x^2-9a^6

As we know that

x² - y² = ( x+y)(x-y)

4x^2-9a^6 = (2x)² - (3a³)²

By using the above formula

x² - y² = ( x+y)(x-y)

4x^2-9a^6 = (2x)² - (3a³)²

4x^2-9a^6 = (2x - 3a³) (2x + 3a³)

So the factor is (2x - 3a³) ,(2x + 3a³)

To verify

Multiple both factors

(2x - 3a³) (2x + 3a³) = 2x .2x -2x . 3a³ + 3a³ . 2x - 3a³. 3a³

=4x² - 9 a ⁶

which of the following linear equations when graphed on a coordinate grid has the steepest slope? a. y=1/4x-7, b. y=7/3x-2, c. y=9x+2/3 d. y=6x=5/9

Answers

C. 9x is keyword (m=slope which is 9)

A. has slope of 1/4

B. has slope of 7/3

D. has slope of 6

Therefore, C. has the highest slope.

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