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3 years ago

Can some one help me plz with step by step x^2 + x - 42

Mathematics

1 answer:

Alexeev081 [22]3 years ago

3 0

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

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A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$

$2 + x = 2.8 + 0.7x$

$0.3x = 0.8$

$x = 8/3\ quarts$

$y = 4 + 8/3 = 20/3\ quarts$

Part B:

If he shoots a total of ten targets, we can write the equation:

$x + y = 10$

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

$2x + 3y = 23$

If we subtract the second equation by two times the first one, we have:

$2x + 3y - 2*(x + y) = 23 - 2*10$

$2x + 3y - 2x - 2y = 23 - 20$

$y = 3$

$x + 3 = 10$ ⇒ $x = 7$

4 0

3 years ago

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daser333 [38]

Answer:

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Step-by-step explanation:

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3 years ago

Perform the indicated operation to write given polynomial in standard form: (x+ 2)(2x^2 − 5x+7)

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Answer:

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Step-by-step explanation:

We have given expression $(x+2)(2x^-5x+7)$

We have to write this expression in standard form

For writing in standard form first we have to multiply the expression

So after multiplication number $(x+2)(2x^2-5x+7)=2x^3-5x^2+7x+4x^2-10x-14=2x^3-x^2-3x-14$

So the expression in standard form will be $2x^3-x^2-3x-14$

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Answer:

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Step-by-step explanation:

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