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Mama L [17]
3 years ago
14

Based on its degree, what kind of polynomial is this? h(x) = 4x^4 + 2x - 5

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

Quartic

Step-by-step explanation:

Given

h(x) = 4x^4 + 2x - 5

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

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4 0
3 years ago
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
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Answer:

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3 0
2 years ago
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2 years ago
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