All categories

2 years ago

Solve by substitution y=x+4, y=2x+5

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

4 0

X+4=2x+5
-1=x
hope this helps

You might be interested in

Holly fills a bucket with of a pound of confetti in of an hour. How much confetti could she fill the bucket with in 1 hour?

Snowcat [4.5K]

Answer:

one pound

Step-by-step explanation:

8 0

3 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

A.Sum of integer and its additive inverse is ___________.B.Sum of -22 and -44 is ______________.C.-36 ÷ ( ___)=-9d._________ is

Ede4ka [16]

Answer:

A. 0

B. -66

C. 4

D. 998

E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

B. If you have trouble with sums, your calculator can help.

-22 + (-44) = -22 -44 = -66

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

-36 = -9x

-36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

D. The absolute value function changes the sign of negative numbers to positive:

|-998| = 998

E. If you have trouble with sums, your calculator can help.

(−2)−[(−3)−(−7)−(−6)]

= -2 -(-3 +7 +6) = -2 -10 = -12

4 0

3 years ago

mike began tiling his bathroom floor. he completed the top edge and left egde of the floor each peice is a square that has a sid

mafiozo [28]

It will be 25 because you have to multiply

6 0

3 years ago

For which equations below is x = -3 a possible solution? Select three options.

yaroslaw [1]

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers