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antiseptic1488 [7]

2 years ago

13

What is the rate of change for 2y+3=3x

1 answer:

Elenna [48]2 years ago

5 0

The rate of change in z at (4,9) as we change x but hold y fixed is = 3/[2sqrt(3x+2y)] put x = 4 , y = 9 = 3/[2sqrt(12+18) = 3/[2sqrt(30)] The rate of change in z at (4,9) as we change y but hold x fixed is = 1/sqrt(3x+2y) put x = 4, y =9 = 1/sqrt(30)

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2x+y=5<br> -x+2y=4 <br><br> How do you solve this

d1i1m1o1n [39]

The answer to your problem is
x=5/2
y=5

x=-4
y=2

7 0

3 years ago

If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.

Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

$\sf \rightarrow x + 7 + \dfrac{y}{6} = 29$

$\rightarrow \sf x=-\dfrac{y}{6}+22$

=====================

Condition 2

$\rightarrow \sf 2y - (x - 5) = 9$

$\rightarrow \sf x = 2y -4$

=====================

Substitute equations

$\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4$

$\rightarrow \sf y=12$

=====================

Find value of 1st number

$\rightarrow \sf x = 2y - 4$

$\sf \rightarrow x = 2(12) - 4$

$\rightarrow \sf x = 20$

7 0

2 years ago

Carrie collected shells from the seashore in a box he takes out a handful of shells from the box is this a random sample of shel

Leya [2.2K]

This would be random. This is because Carrie has no clue or has a limited knowledge of what type of shells he would grab.

4 0

2 years ago

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

2 years ago

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Yuri [45]

Answer:Then ask a neighbor for help

Step-by-step explanation:Hey just breath

4 0

2 years ago