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Artyom0805 [142]

2 years ago

5

Write

} -x-3+x^{3}" align="absmiddle" class="latex-formula"> in standard form. Identify the leading coefficient.

1 answer:

Elza [17]2 years ago

5 0

Answer:

Standard form: $x^3+3x^2-x-3$

Leading coefficient: 1

Step-by-step explanation:

$3x^2-x-3+x^3=\\x^3+3x^2-x-3$

The leading coefficient is 1 because the leading term is $x^3$ .

You might be interested in

Which are perfect trinomials?

Natalija [7]

Answer:

A perfect square trinomial is the square of a binomial. It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product

Step-by-step explanation:

5 0

2 years ago

Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0

2 years ago

Evaluate each using the values given-6+4-y-z; use y= -4, and z = -1

Ivenika [448]

Answer:

Your answer is 15

Step-by-step explanation:

1) 6 + 4 = 10

2) -4 + -1 = -5

3) now add

4) 10 + -5 + 15

5) it's 15 because the bigger is positive.

8 0

2 years ago

The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perim

luda_lava [24]

Answer:

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>

Hope this helps you

4 0

3 years ago

Read 2 more answers

Gabby packs 37 boxes with limes. Each box holds 10 lemons. How many limes can Gabby pack into these boxes?

Len [333]

Answer:

3 boxes with a remainder of 7 lemons left

6 0

3 years ago