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Fofino [41]
3 years ago
15

Simplify the algebraic expression (4b5 - 7) + (12b5 - 1)

Mathematics
2 answers:
ioda3 years ago
4 0

Answer:16b square root of 5 -8

Step-by-step explanation:

Montano1993 [528]3 years ago
4 0

Answer:

16b^5 - 8

Step-by-step explanation:

(4b5 - 7) + (12b5 - 1)

4b^5 - 7 + 12b^5 - 1

4b^5 + 12b^5 - 7 - 1

16b^5 - 8

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Using the quadratic formula to solve 5x = 6x²-3, what are the values of x?
Salsk061 [2.6K]

Answer:

\boxed{\sf{x =  \frac{5 \pm \sqrt{97} }{12} }}

Step-by-step explanation:

\sf{5x = 6 {x}^{2} - 3 }

\sf{0 = 6 {x}^{2} - 3 - 5x }

\sf{0 = 6 {x}^{2} - 5x - 3 }

  • a = 6
  • b = - 5
  • c = - 3

\sf{x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a} }

\sf{x =  \frac{ - ( - 5) \pm \sqrt{ { - 5}^{2}  - 4(6)( - 3)} }{2(6)} }

\sf{x =  \frac{5 \pm \sqrt{ 25   + 72} }{12} }

\sf{x =  \frac{5 \pm \sqrt{97} }{12} }

8 0
2 years ago
Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by
Nookie1986 [14]
To solve, lets find the volumes of all of the options...

V=l*w*h

A. 
6*3*4=72cm³
12*2*3=72cm³

B.
2*4*9=72cm³
9*4*2=72cm³

C.
3*3*8=72cm³
2*6*8=96cm³

D.
6*3*4=72cm³
9*4*3=108cm³

We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.

Now lets solve for the surface area of A and B...

A. 
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²


B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²

A is the only option with both similar volumes of 72cm³ and different surface areas...

Answer=A
3 0
3 years ago
Read 2 more answers
A bouncy ball is thrown into the air. The height of the bouncy ball above ground can be represented by the function h(t)= −16t^2
aniked [119]
I don’t understand the question
3 0
3 years ago
Read 2 more answers
If the critic rates a total of 100 restaurants what is the best prediction for the number of restaurants she gives exactly 3 sta
Katarina [22]

Answer:

Probability = 1 / 5

Step-by-step explanation:

Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.

So, probability of 3 stars = Outcomes with 3 stars / Total outcomes

= 1 / 5

7 0
3 years ago
Cheyenne ran a 4-kilometer race in 40 minutes.what was her speed in kilometers per hour?
kompoz [17]
4km/40min

Multiply numerator and denominator by (60/40):

4*(60/40) / 60min
6 kmph
5 0
3 years ago
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