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2 years ago

5(2x−3) Simplify the Expression

Mathematics

1 answer:

jarptica [38.1K]2 years ago

6 0

Answer:

$10x−15$

Step-by-step explanation:

$5(2x−3)$

$5(2x)+5( −3)$

$10x+5(−3)$

$10x−15$

<h3>Hope it is helpful....</h3>

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Georgina ran 3/8 mile in 3 minutes. How many miles does she run per minute?

Pachacha [2.7K]

In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
= 3/24 miles
= 1/8 miles.
So it can be said now that in 1 minute the distance that Georgina can cover is 1/8 miles. If required it can be converted to decimal value as well.

6 0

2 years ago

Read 2 more answers

What is the sum of the prime factors of 2014

goblinko [34]

The sum of prime factors of 2014 is 74

<h3><u>Solution:</u></h3>

Given that to find sum of prime factors of 2014

Let us first find the prime factors of 2014

A prime number is a whole number greater than 1 whose only factors are 1 and itself

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

<em><u>Prime factors of 2014:</u></em>

The Prime Factorization is:

$2014 = 2 \times 19 \times 53$

Thus the prime factors of 2014 are 2, 19, 53

<em><u>Let us now find the sum of prime factors of 2014</u></em>

sum of prime factors of 2014 = 2 + 19 + 53 = 74

Thus the sum of prime factors of 2014 is 74

7 0

2 years ago

I need help please!!!!

Nataly [62]

The answer to the problem I think is a>-4.
You have to flip it if it is a negative. I could be wrong..

3 0

3 years ago

What is the approximate area of the shaded region? Circumscribed square with side length 8 meters. The four regions between the

myrzilka [38]

Answer:

13.76 square meters

Step-by-step explanation:

The side of square is 8 meters.

So, the diameter of circle = 8 meters.

⇒ Radius = (diameter of circle) ÷ 2 = 8 ÷ 2 = 4 meters

Shaded region = Area of square - Area of circle

= (Side × Side) - π × (radius)²

= 8 × 8 - π × 4 × 4 {∵ π = 3.14 or 22÷7}

= 64 - 50.24

= 13.76 square meter

4 0

3 years ago

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x)

vagabundo [1.1K]

Answer:

1. a = -31/9

2. -3/4

3. Different degree polynomials

4. Yes, of a degree 2n

5. a. Even-degree variables

b. Odd- degree variables

Step-by-step explanation:

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?

<u>Plugging in 3 for x:</u>

f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2

9a+33= 2
9a= -31
a = -31/9

------------

2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

f(0)= -4, h(0)= 3, g(0) = ?
h(x)= f(x)*g(x)
g(x)= h(x)/f(x)
g(0) = h(0)/f(0) = 3/-4= -3/4
g(0)= -3/4

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3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?

<em>A monic polynomial is a single-variable polynomial in which the leading coefficient is equal to 1. </em>

If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.

------------

4. If f(x) is a polynomial, is f(x^2) also a polynomial?

If f(x) is a polynomial of degree n, then f(x^2) is a polynomial of degree 2n

------------

5. Consider the polynomial function g(x) = x^4-3x^2+9

a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?

If f(x) and f(-x) are same polynomials, then they have even-degree variables.

b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?

If f(x) and -f(-x) are the same polynomials, then they have odd-degree variables.

7 0

2 years ago