All categories

4 years ago

Find one factor of: 3x^3-10x^2+3x+10

Mathematics

1 answer:

lys-0071 [83]4 years ago

5 0

Well, when you factor out this polynomial, you get (x-2)(3x^2-4x-5).
I don't really know how that can help, but I tried. :/

You might be interested in

4 more than one third of a number n is 6. An equation is? The solution is n =?

harkovskaia [24]

Answer:

$\frac{1}{3}$ n + 4 = 6

Step-by-step explanation:

Given problem:

4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number = ?

Solution:

let the number = n

So, 4 more than one third of a number;

One third of n = $\frac{1}{3}$ n

4 more;

$\frac{1}{3}$ n + 4

is 6;

$\frac{1}{3}$ n + 4 = 6 (equation of the expression)

Let us now solve the equation:

$\frac{1}{3}$ n + 4 = 6

$\frac{1}{3}$ n = 6 - 4

$\frac{1}{3}$ n = 2

n = 6

5 0

3 years ago

the number m and 5/8 are additive inverses.drag and drop m to their correct positions on the number line.drag and drop the label

monitta

The additive inverse of a number is that number with its sign changed.

The additive inverse of 5/8 is -5/8, so that is the value of m.

The sum of a number and its additive inverse is zero. (This is actually the definition of additive inverse.)

5/8 is found at 5/8 on the number line.

m is found at -5/8 on the number line.

"sum" is found at 0 on the number line.

3 0

3 years ago

Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the s

Klio2033 [76]

She worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.

first off, let's check how many hours she worked total, and divide 54 by it.

so, first off, let's convert the mixed fractions to "improper" and add them up.

$\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}
\\\\\\
\stackrel{mixed}{4\frac{1}{4}}\implies \cfrac{4\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{17}{4}}\\\\
-------------------------------$

$\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4}
\\\\\\
\cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}}
\\\\\\
\cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}$

6 0

3 years ago

Which term is a term in this expression? A. x+4 B. -7 C. -3 D. -3x

svp [43]

Answer: -3x is a term

Step-by-step explanation: Any number that has a variable after it is a term. Another way to look at it is any grouping of a number and a variable. If the number stands alone, it's not a term, and if it is being added to something, it is an equation.

7 0

3 years ago

There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 553

Anika [276]

The number of different three-digit numbers that can be set for the combination lock is 125

<h3>How to determine the number of different locks?</h3>

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125