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timofeeve [1]
3 years ago
8

H to hhfjjye llloodsr b

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0
I honestly don’t know
You might be interested in
Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
On your family trip, you used 9 gallons of gas. If the odometer readings before and after your trip were 74,233 and 74,545, resp
sveta [45]

Find the number of miles driven by subtracting the odometer readings:

74545 - 74233 = 312 miles driven.

Divide miles driven by gallons of gas used:

312 / 9 = 34.66 = 35 miles per gallon.

6 0
3 years ago
What is the sum of the measures of interior angles for a regular polygon with 5 sides
pshichka [43]

Answer:

360 degrees

Step-by-step explanation:

7 0
3 years ago
Solve the exponential equation<br> 16 = 2^x − 2.
Sholpan [36]
2^x-2=16
+2 +2
——————
2^x=18

(Log)(2))=log (18)

X=log(18)
————-
Log(2)

X=4.169925
3 0
3 years ago
Read 2 more answers
Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12
bazaltina [42]

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

3 0
3 years ago
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