What are the zeros of (x-2)(x^2-9)

Answers

Answer 1

Answer: $(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\n\nx-2=0\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{x=2}\n\nx^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\n\nx^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\n\nAnswer:\boxed{x=-3\ or\ x=2\ or\ x=3}$

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A dime is what fraction of a dollar?

Answers

A dime is 1/10 fraction of a dollar.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

To learn more about Fractions, click on the link given below :

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Answer:

1/10

Step-by-step explanation:

Solve the solution to the equation -2x+1=9 step by step

Answers

-2x + 1 = 9

Add 2x to each side of the equation:

1 = 2x + 9

Subtract 9 from each side:

-8 = 2x

Divide each side by 2 :

-4 = x

$-2x+1=9\n -2x=8\n x=-4$

The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?

Answers

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5

Solve the following simultaneous linear equations by the elimination method. 2p - 3q = 13
p - 3q = 2

Answers

Answer:

p = 11 q = 3

Step-by-step explanation:

2p - 3q = 13

- p - 3q = 2

p = 11

p - 3q = 2

(11) - 3q = 2

-3q = -9

q = 3

Answer:

p=11 q=3

Step-by-step explanation:

subtract second from first

2p-3q=13

-p+3q=-2

p=11

plug in

11-3q=2

-3q=-9

q=3

Factor completely x3 + 2x2 – 15x

Answers

$x^3 + 2x^2 - 15x$

first we can factor out an x
$x(x^2 + 2x - 15)$

then we find a pair of numbers that multiply to -15 and add up to 2

this would be 5 and -3
because 5 times -3 = -15
and -3 + 5 = 2

we would then get
$x(x-3)(x+5)$

this would be you answer :)

Hi Lisa

x³ + 2x² - 15x

= x( x-3)(x+5)

I hope that's help:)

Have a great summer :)

Put the following equation of a line into slope-intercept form, simplifying all fractions2x+4y=4

Answers

Answer:

y = -1/2x + 1

Step-by-step explanation:

You want to get y by itself. subtract 2x from both sides. now you're left with 4y = -2x + 4. then divide both sides by 4 to get y by itself. this equals y = -1/2x + 1

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