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1 year ago

Solve for z: -42z^2 = 14z

Mathematics

2 answers:

schepotkina [342]1 year ago

4 0

$\\ \rm\Rrightarrow -42z^2=14z$

$\\ \rm\Rrightarrow 42z^2=-14z$

$\\ \rm\Rrightarrow 3z^2=-z$

$\\ \rm\Rrightarrow 3z=-1$

$\\ \rm\Rrightarrow z=-1/3$

Another root is 0

Fiesta28 [93]1 year ago

4 0

Answer:

$- \frac{844}{29} z$

Step-by-step explanation:

I hope to help

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Danny earns a monthly allowance of twenty dollars and extra seventy five cents every time he is nice to his mom. Avery earns a m

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Answer:

Danny: y-=.75x+20

Avery: y=1.25x+18

Step-by-step explanation:

To write a system of equations, it usually equals y=mx+b. Since Danny and Avery both earn the set monthly allowance of 20 and 18 dollars respectively, those numbers go on the variable b since it's a set amount and they start off with that amount of money if they weren't nice to their mom at all.

Since we are trying to find the overall amount of money, let y=total money a child earns every month and x=how many times the child is nice to their mother.

The extra .75 cents Danny earns go under the variable m because it is dependent on how many times he is nice to his mom. Along with Avery.

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2 years ago

Your take home pay is $1500 and you have 22% withheld in taxes. What is your gross pay?

wlad13 [49]

We have been given that the take home pay is $1500 and 22% is withheld as taxes.

Let us assume that the gross pay is x dollars. Therefore, take home pay must be 78% of x because 22% of the pay is withheld as taxes, so you get to take home only 78% of the gross pay.

Since we have been given that take home pay is $1500 and it is 78% of the total gross pay. Therefore, we can set up an equation:

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2 years ago

Read 2 more answers

Need this please!!! Graph Y=-5x-2!!! Thanks. :-)

Andreyy89

Graph the line using the slope and y-intercept, or two points.

Slope= -5

y- intercept= (0,2)

The answer has two points (0,2) and (1,-3) place them and then make a line going left through them.

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2 years ago

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Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

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As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

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