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3 years ago

Please answer with explanation

Mathematics

2 answers:

goblinko [34]3 years ago

5 0

U or any other symbol stands for the unknown it could range to be 0 to 5 according on how you work on it my best guess would be to solve it back wards

Lena [83]3 years ago

3 0

Your answer could be 5, rearrange the equation

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10 increased by the quotient of a number and 6 is 15

Makovka662 [10]

<h2>Verbal Phrase to Mathematical Phrase</h2><h3>Answer:</h3>

$10 +\frac{n}{6} = 15\\$

<h3>Step-by-step explanation:</h3>

Let that number be $n$ .

The quotient of a number and $6$ is $\frac{n}{6}\\$ .

"Increased" is just another term for "plus (+)" so $10$ increased by The quotient of a number and $6$ is $10 + \frac{n}{6}\\$

And it tells us that it is $15$ so it must be $10 +\frac{n}{6} = 15\\$

3 0

3 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

Help please I’m struggling badly because Im bad at math

Solnce55 [7]

Answer:

M = 107 degrees

Step-by-step explanation:

JKM = PQR

J = P

J = 33

K = Q

K = 40

R = M

R = 107

4 0

3 years ago

. The regular price of a scooter is $89.99. The scooter is on sale for 20%

Artyom0805 [142]

Answer:

Step-by-step explanation:

3 0

2 years ago

If I make $7.25 a hour and I work for three days how much money is that every two weeks

trasher [3.6K]

There are a couple of things you didn't mention.
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.

Assumption #1: Each day that you work, you work for 8 hours.

Assumption #2: You work for three days each week.

If those assumptions are true, then you earn

($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks) =

($7.25 x 8 x 3 x 2) = $348 before taxes and other deductions.

3 0

3 years ago

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