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Nataly_w [17]
3 years ago
10

Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:

Mathematics
1 answer:
seropon [69]3 years ago
5 0
F(3)=16 i saw this problem before so it should be the answer in the end
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The product of two number is 20 and the sum of square is 41 find the number​
Marianna [84]

Let the two number is a and b

so,

product =ab=20

sum of square=\bold{a^2+b^2=41   }

Then,

\bold{(a+b)^2=a^2+b^2+2ab  }

\bold{ (a+b)^2=41+2×40  }

\bold{ (a+b)^2=81  }

\bold{a+b=\sqrt{81}   }

\bold{a+b=9 }•••••••••(equation I)

Now,

\bold{(a-b)^2=a^2+b^2-4ab   }

\bold{ (a-b)^2=41-4×20  }

\bold{(a-b)^2=41-40   }

\bold{a-b=\sqrt{1}   }

\bold{a-b=1 }••••••••(equation II)

Now,combine the equation I and equation II

we,get

\bold{a+b+a-b=9+1   }

\bold{a+\cancel{b}+a\cancel{-b}=10   }

\bold{ 2a=10  }

\bold{a=\dfrac{10}{2}   }

\blue{\boxed{  a=5 }}

Then,

put the value of a in equation II.

we get that,

\bold{5-b=1   }

\bold{b+1=5   }

\bold{b=5-1   }

\bold{\boxed{\blue{b=4}}  }

<em><u>so</u></em><em><u>,</u></em><em><u> </u></em>

<em><u>The</u></em><em><u> </u></em><em><u>two</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>4</u></em><em><u>.</u></em>

6 0
3 years ago
Read 2 more answers
Please help<br><br> I need help creating a table of value for this equation
Fed [463]

Answer:

Create the table and choose a set of x values. Substitute each x value (left side column) into the equation. Evaluate the equation (middle column) to arrive at the y value. An Optional step, if you want, you can omit the middle column from your table, since the table of values is really just the x and y pairs.

Step-by-step explanation:

Specify a name for the function.

Specify a name and data type for each input parameter.

Specify the routine attributes.

Specify the RETURNS TABLE keyword.

Specify the BEGIN ATOMIC keyword to introduce the function-body.

Specify the function body.

7 0
3 years ago
Can someone please help me❓
Sedbober [7]
Divide each square into 4 prices and you'll get it
4 0
3 years ago
Can someone plz help me Thank you in advance:)
yulyashka [42]

Answer : The specific heat of the metal is, 2178.67J/kg^oC

Explanation :

In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

q_1=-q_2

m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)

where,

c_1 = specific heat of metal = ?

c_2 = specific heat of ice = 2000J/kg^oC

m_1 = mass of metal = 1.00 kg

m_2 = mass of ice = 1.00 kg

T_f = final temperature of mixture = -8.88^oC

T_1 = initial temperature of metal = 5.00^oC

T_2 = initial temperature of ice = -24.0^oC

Now put all the given values in the above formula, we get:

(1.00kg)\times c_1\times (-8.88-5.00)^oC=-[(1.00kg)\times 2000J/kg^oC\times (-8.88-(-24.0))^oC]

c_1=2178.67J/kg^oC

Therefore, the specific heat of the metal is, 2178.67J/kg^oC

4 0
3 years ago
What is 35 percent of 440
Arte-miy333 [17]

Answer:

154 percent

Step-by-step explanation:

4 0
3 years ago
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