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grin007 [14]
2 years ago
12

Damien and Anna are counting fish. They have 4 tanks with 4 fish and 5 tanks with 2 fish. They are planning to fill an order for

3 fish today. Which expression shows how many fish they will have in stock after the 3 are sold. 4×4+5×2−3 3−4×4+5×2 4+4×5+2−3 4×4×5×2−3
GIVEING BRAINLYEST!
Mathematics
1 answer:
irina1246 [14]2 years ago
4 0

Answer:

The answer is  4×4+5×2−3.

Step-by-step explanation:

This is because, in the original amount, they had 4 tanks with 4 fish and 5 tanks with 2 fish. 4x4 is 16 and 5x2 is 10. Then you add them together to get 26. But, you have to subtract 3 because of the order of 3 fish, which equals 23. The equation 4×4+5×2−3 shows that.

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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
Can somewon help me i dont get this kind of math
I am Lyosha [343]

Answer:

256 in²

Step-by-step explanation:

6 0
3 years ago
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What are two other names for Xy
NARA [144]

Answer:

In Mathematics, x and y are examples of variables.

You can use any letter as a variable but, make sure to include a let statement when using variables.

A let statement essentially tells what the variable represents.

Ex: let h = houses sold

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
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72÷x=3.6÷0.015 what is the answer?
lapo4ka [179]

Answer:

The answer you are looking for is x = 3/10

Step-by-step explanation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

72/x = 3.6/0.015 // - 3.6/0.015

72/x-(3.6/0.015) = 0

72/x-240 = 0

72*x^-1 = 240 // : 72

x^-1 = 10/3

-1 < 0

1/(x^1) = 10/3 // * x^1

1 = 10/3*x^1 // : 10/3

3/10 = x^1

x = 3/10

x = 3/10

4 0
3 years ago
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Find the slope of the line that is defined by 2y=3x-30​
Elden [556K]

Answer: 1.5

Step-by-step explanation:

The equation of a line in slope - intercept form is given as :

y = mx + c , where :

m = slope

c = y - intercept

Given:

2y = 3x - 30

What we need to do is to write it in slope - intercept form, we will make y the subject of formula.

Divide the equation through by 2

2y/2 = 3x/2 - 30/2

y = 3x/2 - 15

comparing with y = mx + c

slope = 3/2 = 1.5

8 0
3 years ago
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