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Simora [160]
3 years ago
13

Express the solution of, x3 + 5 x2 < x + 5, using interval notation.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

x < −5 or −1 < x < 1

Step-by-step explanation:

Did you want x3 and x2 to be x^3 and x^2?

Hope this helps!

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What is 4.62 expressed as the quotient of two integers in simplest form?
erik [133]
Multiply 4.62 by a number that to get an integer.
Such as multiply by 5 is 23.10 so to get rid of 0.1, just multiply by 50 then it becomes 231.

so that means...
4.62 = 231 / 50

or a simple answer would be multiply by 100, then you get 462.

so....
4.62 = 462 / 100
And then simplify, it is divisible by 2 so the answer is 231/50
4 0
3 years ago
Is y=(x+3)^3 a function?
disa [49]

Answer: Yes

Step-by-step explanation:

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3 years ago
Choose the function table that matches the given rule<br> Rule:output=input -2
kirill [66]

Answer:

option B

Step-by-step explanation:

Rule:output=input -2

LEts analyze the table

we use the input and apply the rule to get the output

LEts subtract 2 from input to get the output

Input             Rule (input -2 )            Output

-3                         -3-2                          -5

-7                         -7-2                          -9

6                          6-2                            4

Option B matches with our table

   

7 0
3 years ago
Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
Mai travels 90 miles in 2 hours by boat. At this rate,how far does Mai go in 3 hours?
Marysya12 [62]

Answer:

135 miles in 3 hours

Step-by-step explanation:

5 0
3 years ago
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