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3 years ago

Evaluate the function. f(x) = -2x2 + 8x – 10 Find f(-4)

Mathematics

2 answers:

Andre45 [30]3 years ago

4 0

Answer:

f(-4)=-2(-4)²+8(-4)-10=-2×16-32-10=-74

LekaFEV [45]3 years ago

3 0

Step-by-step explanation:

Given

f(x) = - 2x² + 8x - 10

f(-4) = - 2 * (-4)² + 8 * ( -4 ) - 10

= - 32 - 32 - 10

= - 74

Hope it will help :)

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a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?

mariarad [96]

$x_{1}=1$
$x_{2}= 3$
$y_{1} =14$
$y_{2}=4$
$Slope= \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } = \frac{4-14}{3-1} = \frac{-10}{2} =-5$

answer: The student flipped the y values

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3 years ago

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bixtya [17]

Answer:

Step-by-step explanation:

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3 years ago

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Cerrena [4.2K]

Answer:

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Step-by-step explanation:

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3 years ago

Which fraction does point A show? A.3/7 B.3/4 C.8/5 D.7/4

IgorLugansk [536]

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d 7/4

Step-by-step explanation:

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3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%2835%20x%5E%7B4%7D%20y%2B14%20x%5E%7B5%7D%20y-2%20y%5E%7B3%7D-4x%20y%5E%7B

jeka94

$\underbrace{35x^4y+14x^5y-2y^3-4xy^3}_M\,\mathrm dx+\underbrace{7x^5-6xy^2}_N\,\mathrm dy=0$

$M_y=35x^4+14x^5-6y^2-12xy^2$
$N_x=35x^4-6y^2$

$\dfrac{N_x-M_y}N=\dfrac{-14x^5+12xy^2}{7x^5-6xy^2}=-2$

This suggests an integrating factor depending on $x$ only is possible, and given by

$\mu(x)=\exp\left(-\displaystyle\int\frac{N_x-M_y}N\,\mathrm dx\right)=e^{2x}$

Distributing across the ODE, we end up with

$\underbrace{(35x^4y+14x^5y-2y^3-4xy^3)e^{2x}}_{M^*}\,\mathrm dx+\underbrace{(7x^5-6xy^2)e^{2x}}_{N^*}\,\mathrm dy=0$

The equation is now exact, with

${M^*}_y={N^*}_x=(35x^4+14x^5-6y^2-12xy^2)e^{2x}$

Now we find the solution:

$F_x=M^*$
$F=\displaystyle\int(35x^4+14x^5-2y^3-4xy^3)e^{2x}\,\mathrm dx$
$F=(7x^5y-2xy^3)e^{2x}+f(y)$

$F_y=N^*$
$(7x^5-6xy^2)e^{2x}+f'(y)=(7x^5-6xy^2)e^{2x}$
$f'(y)=0$
$\implies f(y)=C$

The general solution is then

$F(x,y)=(7x^5y-2xy^3)e^{2x}=C$

7 0

4 years ago