(6z 2 - 4z + 1)(8 - 3z).

Answers

Answer 1

Answer: distributive property
a(b+c)+ab+ac
a(b-c)=ab-ac

(6z^2-4z+1)(8-3z)
move for nicety
(8-3z)(6z^2-4z+1)
distribute
8(6z^2-4z+1)-3z(6z^2-4z+1)=
48z^2-32z+8-18z^3+12z^2-3z=
-18z^3+48z^2+12z^2-32z-3z+8=
-18z^3+60z-35z+8

Related Questions

Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.
Which number is equivalent to 3⁴ ÷ 3²
What is this equal to 3(2-4x)+4x>17
Solve the equation for the indicated variable. A = bh; h
Lisa leaves her house for a road trip and drives at a rate of 50 mph. Keisha leaves her house 1 hour later and drives along the same route at a rate of 60 mph. At any given time t, the distance traveled can be calculated using the formula d = rt, where d represents distance and r represents rate. Which system of equations can be used to find how long after Lisa departs her house she is passed by Keisha?A) d=50t d=60t-1 B) d=50t d=60(t-1) C) d=50t d=59t D) d=50(t-1) d=60t

Identify all sets to which the number -3/4 belongsa. rational numbers
b. odd numbers, whole numbers, integers, rational number
c. whole numbers, integers, rational number

Answers

Answer:

a. rational numbers

Step-by-step explanation:

we observe that -3/4 is a proper fraction (i.e it is a rational number)

hence

1) It cannot be a whole number

2) it cannot be an integer

therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.

Final answer:

The number -3/4 can be found within the set of rational numbers. It does not belong to the sets of odd numbers, whole numbers, or integers, as these contain only whole numbers.

Explanation:

The number -3/4 is a rational number. Rational numbers represent any number that can be expressed as a fraction or ratio of two integers, with a non-zero denominator. Sets like odd numbers, whole numbers, and integers are part of number systems that include only whole numbers, and given that -3/4 is not a whole number, it does not belong in these sets. Therefore, from the given options, the correct one is: The number -3/4 belongs to the set of rational numbers.

Learn more about Rational Numbers here:

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What does M.A.D stand for in math?

Answers

Asking the Math Gods...

mean absolute deviation

4/n+9 = 2/7

What is the answer please!

Answers

Answer:

Step-by-step explanation:

Assuming the n+9 is in the denominator, start by cross multiplying.

multiply the n+9 by 2 and 4 by 7 to form the eqution 2n+18 = 28.

subtract the 18 from both sides to form the equation 2n = 10.

divide both sides by 2 to answer n = 5.

Another method is to think how to create equivalent fractions. to have 4/n+9 equal 2/7, the 2/7 is equivalent to 4/14. that means that n+9 is equivalent to 14, because the numerator are equal to each other. if n+9 = 14, then n = 5.

Simplify. Write in radical form.
(x^3y^-2/xy)^-1/5

Answers

Answer:

The radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Step-by-step explanation:

Given : $((x^3y^(-2))/(xy))^{(-1)/(5)}$

We have to simplify the given expression and write in radical form.

RADICAL FORM is the simplest form of expression that do not involve any negative exponent and power is less than n, where n is the nth root of that expression.

Consider the given expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$

Cancel out the common factor x, we get,

$((x^2y^(-2))/(y))^{(-1)/(5)}$

Using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((x^2)/(y\cdot y^2))^{(-1)/(5)}$

Using laws of exponents, $x^m \cdot x^n=x^(m+n)$ , we have,

$((x^2)/(y^3))^{(-1)/(5)}$

Again using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((y^3)/(x^2))^{(1)/(5)}$

Also, written as $\sqrt[5]{(y^3)/(x^2)}$

Thus, the radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Hope this helped! Much luck!

Mark wants to use a grid to model the percent equivalent of the fraction 2/3. How many grid squares should be shade? What percent would his model show?

Answers

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of $(2)/(3)$ .

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to $(2)/(3)$ i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As, $(2)/(3) =0.6667$

i.e. $(2)/(3)$ =66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

Final answer:

To represent the fraction 2/3 on a grid, approximately 67% of the squares on the grid should be shaded. This means such a fraction corresponds to 67 out of 100 squares on a 100-square grid or equivalently 67% shaded.

Explanation:

To determine how many grid squares Mark should shade to model the percent equivalent of the fraction 2/3, we need to understand the relationship between fractions, decimals, and percents. When we convert the fraction 2/3 into a decimal, we get approximately 0.67. To represent this as a percent, we multiply by 100, which gives us 67%. So, about 67 out of 100 squares should be shaded.

Let's say Mark's grid has 100 squares (10 rows by 10 columns). In that case, he would shade about 67 squares to represent 2/3 as a percent. If the grid contains fewer than 100 squares, he would need to adjust accordingly.

In summary, the model would show about 67% shaded.

Learn more about Modeling Percentages with Grid here:

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The cost of a book is twice that of a magazine.1 book and 4 magazines cost £ 24.
How much does a book cost?

Answers

The answer to your question is 8

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