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4 years ago

What is m to the power of 2 minus 11m minus 60 in product/sum method

Mathematics

1 answer:

Nana76 [90]4 years ago

7 0

m^2 -11m -60 = 0

m^2 -11m =60

(m^2 -11m + 121/4) = 361/4

(m - 11/2)^2 = 361/4

m - 11/2 = + or - 19/2

m = 11/2 + 19/2, 11/2 - 19/2

m = 15, -4

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

m^2 -11m -60

(11 +- Square root (121 +240))/2

11/2 +- 19/2

m= 15, -4

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

m^2 -11m -60

(m - 15) (m + 4)

m = 15, -4

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The shark are fed three times a day during the morning feeding 2/15 of a ton. During the afternoon feeding the weight of fish fe

UNO [17]

Answer:

The shark are fed $\frac16 \ ton$ of fish during the night.

Step-by-step explanation:

Given:

Weight of fish fed in the morning = $\frac{2}{15}\ ton$

Also Given:

During the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning.

Weight of fish fed in the afternoon = $\frac{2}{15}+\frac{1}{15}=\frac{2+1}{15}=\frac{3}{15}\ ton$

Total fish fed in whole day = $\frac12 \ ton$

We need to find the Weight of fish fed in the night.

Solution:

Now we can say that;

Weight of fish fed in the night can be calculated by by subtracting Weight of fish fed in the morning and Weight of fish fed in the afternoon from Total fish fed in whole day .

framing in equation form we get;

Weight of fish fed in the night = $\frac{1}{2}-\frac{2}{15}-\frac{3}{15}= \frac{1}{2}-(\frac{2}{15}+\frac{3}{15})=\frac{1}{2}-\frac{2+3}{15}= \frac{1}{2}-\frac{5}{15} = \frac{1}{2}-\frac{1}{3}$

Now we will use LCM for making the denominator common we get;

Weight of fish fed in the night = $\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2} = \frac{3}{6}-\frac{2}{6}$

Now denominator are common so we will solve the numerators.

Weight of fish fed in the night = $\frac{3-2}{6}=\frac16 \ ton$

Hence The shark are fed $\frac16 \ ton$ of fish during the night.

3 0

3 years ago

Solve the system using substitution. -2x+5y=19<br> 3x-4=y

omeli [17]

Answer:

answer is x=3 and y=5.... so it is (3,5)

Step-by-step explanation:

you want to combine them so y=3x-4 so subsitute y

-2x+5(3x-4)=19

-2x+15x-20=19

+20 +20

13x=39

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13 13

x=3

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3(3)-4=y

9-4=y

and 9-4 is 5 so it is...

(3,5)

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3 years ago

Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x+25) degrees. Determine the measure of the s

Alex17521 [72]

A = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31

a = 3*31 = 93
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4 years ago

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A single fair die is rolled. What if event A stays the same, i.e., A={2,4} but B={2,4,5}. Event A is independent with event B. T

den301095 [7]

Answer:

False.

Event A and event B are not independent.

Step-by-step explanation:

We know that event A and event B are

A= {2,4} and B= {2,4,5}.

If the following condition satisfies then event A and event B are independent:

P( A and B)= P(A)*P(B).

Now A and B=?

A and B=A∩B= {2,4} ∩ {2,4,5}

A and B=A∩B={2,4}

The single fair die results in 6 outcomes so, the sample space will contain 6 elements.

Thus,

P(A∩B)=2/6=1/3

P(A)=2/6=1/3

P(B)=3/6=1/2

P(A)*P(B)=1/3*1/2=1/6

As,

P(A∩B)≠P(A)*P(B)

1/3≠1/6

Thus, events A and event B are dependent.

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shusha [124]

Answer:

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Step-by-step explanation:

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3 years ago