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3 years ago

Two objects that have the same mass are dropped from the top of a 20 m

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

Answer:

it is the answer that he said

Step-by-step explanation:

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Icated (Q#1-4).<br> 2. Solve by substitution; x+3y + 4)<br> 3x - 5y = 8<br> 3 (3x+4)<br> aytla

puteri [66]

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

$x + 3y = 4$

$3x - 5y = 8$

Then make x the subject in the first equation to get:

$x = 4 - 3y$

Put this equation into the second equation to get:

$3(4 - 3y) - 5y = 8$

$12 - 9y - 5y = 8$

$- 9y - 5y = 8 - 12$

$-14y = - 4$

$y = \frac{ - 4}{ - 14} = \frac{2}{7}$

This means that:

$x = 4 - 3 \times \frac{2}{7}$

$x = 4 - \frac{6}{7} = \frac{22}{7}$

4 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta

gavmur [86]

Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.

6 0

3 years ago

When solving negative -1/3.(x − 15) = −4, what is the correct sequence of operations

rodikova [14]

Distribute through the parenthesis
subtract 5 from both sides
divide both sides by -1/3...or multiply both sides by -3

6 0

3 years ago

Read 2 more answers

Answer plz !! Whats the contrapositive ?

Andre45 [30]

Answer:

It should be the first answer.

Step-by-step explanation:

The first answer says "If Nemo is a fish, then he swims". That makes sense. Then the second one says "If Nemo does swim, then he is a fish". That would make sense, but if my name was Nemo, I can swim. That doesn't mean I'm a fish. The the third one says "If Nemo is not a fish, then he doesn't swim". That doesn't make sense. Say my name is Nemo. I'm not a fish. I can swim though!

8 0

3 years ago

Read 2 more answers