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Goshia [24]
3 years ago
15

Simplify -6(w^3+3z+4)-2(-7z-5w^3)

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

4(w3 - z - 6)

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A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty
Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

  • \frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

  • 1 -  \frac{1}{32}  =  \frac{31}{32}

The maximum allowable length :

Actual length + allowable variation

  • 1 +  \frac{1}{32}  = 1 \frac{1}{32}

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

\frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

7 0
2 years ago
Which axiom is used to prove that the product of two rational numbers is rational
aliina [53]

Answer:

First, a rational number is defined as the quotient between two integer numbers, such that:

N = a/b

where a and b are integers.

Now, the axiom that we need to use is:

"The integers are closed under the multiplication".

this says that if we have two integers, x and y, their product is also an integer:

if x, y ∈ Z ⇒ x*y ∈ Z

So, if now we have two rational numbers:

a/b and c/d

where a, b, c, and d ∈ Z

then the product of those two can be written as:

(a/b)*(c/d) = (a*c)/(b*d)

And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:

(a*c)/(b*d)

is the quotient between two integers, then this is a rational number.

5 0
3 years ago
Subtract.
Illusion [34]

Answer:−93 3−153−53

Step-by-step explanation:

wrong answer but the answer is on google

6 0
2 years ago
Determine if the expression -8c-9c^4d^2−8c−9c
Leto [7]

Answer:

-8c-9c^4d^2-8c-9c is a polynomial of type binomial and has a degree 6.

Step-by-step explanation:

Given the polynomial expression

-8c-9c^4d^2-8c-9c

Group like terms

=-9c^4d^2-8c-8c-9c

Add similar elements: -8c-8c-9c=-25c

=-9c^4d^2-25c

Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.

Each term has a degree equal to the sum of the exponents on the variables.

The degree of the polynomial is the greatest of those.

25c has a degree 1

-9c^4d^2 has a degree 6.   (adding the exponents of two variables 'c' and 'd').

Thus,

-8c-9c^4d^2-8c-9c is a polynomial of type binomial and has a degree 6.

4 0
2 years ago
8.EE.5
olga2289 [7]

Answer:

1.) slope=2

2.) slope=-3

3.) slope=\frac{1}{4}

4.) slope=-\frac{4}{5}

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope

However, with certain graphs, the slope can be found in a simpler manner.

  • You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
  • Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each \frac{y}{x}
  • When you move up, the number will be positive (\frac{+y}{x}). If you move down, the number will be negative (\frac{-y}{x}).
  • If you move to the right, the number will be positive (\frac{y}{+x}). If you move to the left, the number will be negative (\frac{y}{-x}).
8 0
3 years ago
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