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FrozenT [24]
3 years ago
8

Solve by factoring and show work x^2-3x-10=0

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0
The first rule of factoring is to try to factor a common factor from all the terms. In this case, there is no common factor.

Now we factor the trinomial.
This quadratic trinomial is of the form
x^2 + ax + b = 0
where the coefficient of the x^2 term is 1.
To factor it, find two numbers that multiply to "b", the constant term,
and add to "a", the coefficient of x.

The numbers are -5 and 2 since -5 * 2 = -10, and -5 + 2 = -3.

Now we write two sets of parentheses with x on the left side:

(x      )(x       ) = 0

We fill in the parentheses with the two numbers we found above, -5 and 2.

(x - 5)(x + 2) = 0

That is the factoring.
sergij07 [2.7K]3 years ago
3 0
Hello there!

x^2 - 3x - 10=0

Factorize the left side 

(x + 2)(x-5)=0 

Set factors equal to 0

x + 2 = 0 or x - 5 = 0 

x = -2 or x = 5 

Best of luck!
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There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st
ohaa [14]

To find the how many  times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

The given exponent for gigabyte is,

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The given exponent of megabyte is,

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<h3>What is exponent rule?</h3>
  • The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.  
  • to change the negative exponent into a positive we have to invert the base.

Calculate the storage capacity.

\dfrac{10^9}{ 10^6}=10^9-6}\\&#10;\dfrac{10^9}{ 10^6}=10^3\\&#10;\dfrac{10^9}{ 10^6}=1000

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Learn more about exponent rule here:

brainly.com/question/2254060

8 0
2 years ago
Which expression is equivalent to b^-2/ab^-5?<br>a) a/b^5<br>b)1/ab^5<br>c)a^3b/1<br>d)b/a
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\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad&#10;\cfrac{1}{a^{-n}}\implies a^{{ n}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{b^{-2}}{ab^{-5}}\implies \cfrac{b^{-2}\cdot b^{+5}}{a}\implies \cfrac{b^{-2+5}}{a}\implies \cfrac{b^3}{a}
4 0
3 years ago
HELPPP PLSSSS THE PYTHAGOREAN THEOREM
maxonik [38]

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

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b = √(17² - 15²)

b= 8

8 0
2 years ago
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
3 years ago
Read 2 more answers
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