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user100 [1]
3 years ago
11

How to solve X^4-19x^2+48=0

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0
Two numbers that add up to -19 and multiply to 48 are -16 and -3:

(x^4-19x^2+48)=0\\(x^2-16)(x^2-3)=0\\(x+4)(x-4)(x^2-3)=0

So, the solutions come from each parentheses:  x+4=0, x-4=0, and x^2-3=0.

x+4=0
x = -4

x-4=0
x = 4

x^2-3=0
x^2 = 3
x = +/- √3

So, the solutions are -4, -√3, √3, and 4.
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You are mixing two kinds of candy to make 10 pounds of a mixture worth $5.50 per pound. One kind is $6 per pound and the other i
Feliz [49]

Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

           8 + 48 = $5.60(10)

               $56 = $56

6 0
3 years ago
What is the value of -3x^2 - 2x -9 when x= -2
Setler79 [48]

Answer:

-17

Step-by-step explanation:

<em>given:</em>

-3x^2 - 2x -9 when x= -2

<em>rewriting so it's easier to view:</em>

<em />-3x^2 - 2x -9<em />

<em />

<em>substituting:</em>

<em />-3(-2)^2 - 2(-2) -9<em />

<em />

<em>simplifying step-by-step:</em>

<em />-3(4) - 2(-2) -9<em />

<em />-12 - 2(-2) -9<em />

<em />-12 +4 -9<em />

<em />-8-9<em />

-17

<em />

Hope this helps, have a nice day! :D

3 0
3 years ago
Read 2 more answers
I DONT UNDERSTAND WHICH WAY THESE SHOULD GO. Please someone explainnnnnn
uranmaximum [27]
I believe your answer is A.) ASA

ASA stands for angle-side-angle, meaning you need an angle then an adjacent side then another adjacent angle to be congruent to say that these are congruent triangles. Because the semi circles represent congruent angles, they share a side (making them congruent) and both have corresponding right angle measures (making them congruent), you can say that these two triangles are congruent by ASA.

Hope this made sense!
6 0
4 years ago
Find the area of the circle ifr5 meters. Leave the answer in terms of it,
sveta [45]

Answer:

Can u be more verbal but for this i think u should a=bh for a square and a=1/2bh

Step-by-step explanation:

7 0
3 years ago
Help! Please ASAP !!!!!
VladimirAG [237]
You must do work presented inside parentheses first.  Thus, do this first:  (-5-7).
3 0
4 years ago
Read 2 more answers
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