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3 years ago

Can u help idk how to write it ?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

8 0

You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.

For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30

For part C,
30x ≥ 2,000
x ≥ 66.67

For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

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Write as a monomial in standard form (−4x^2ya^3)^2

svetoff [14.1K]

The given monomial in standard form is $16a^6x^4y^2$

Solution:

A Monomial in standard form is the product of one or more factors: a constant coefficient and one factor for each variable in the expression.

Given monomial is:

$(-4x^2ya^3)^2$

We use the following law of exponents to solve the above monomial:

$(ab)^n = a^nb^n\\\\(a^n)^m = a^{mn}$

Using these in given monomial, we get

$(-4x^2ya^3)^2 = (-4)^2(x^2)^2(y)^2(a^3)^2$

Now applying the law of exponent $(a^n)^m = a^{mn}$ we get,

$(-4)^2(x^2)^2(y)^2(a^3)^2 = 16x^{2 \times 2}y^2a^{3 \times 2} = 16x^4y^2a^6$

A monomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc

Writing in standard form we get,

$\rightarrow 16a^6x^4y^2$

Thus the given monomial is written in standard form

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