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3 years ago

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

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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