1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marysya12 [62]
2 years ago
6

Factor the following expression. Simplify your answer. 5t( -2t + 3)^2/3 +2( -2t + 3)^5/3

Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Answer:

(t+6)(-2t+3)^{\frac{2}{3}}

Step-by-step explanation:

\textsf{Given expression}:

5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{5}{3}}

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3+2}{3}}

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)^{\frac{3}{3}}(-2t+3)^{\frac{2}{3}}

\implies 5t(-2t+3)^{\frac{2}{3}}+2(-2t+3)(-2t+3)^{\frac{2}{3}}

\textsf{Factor out common term }(-2t+3)^{\frac{2}{3}}:

\implies (-2t+3)^{\frac{2}{3}}(5t+2(-2t+3))

\textsf{Simplify}:

\implies (-2t+3)^{\frac{2}{3}}(5t-4t+6)

\implies (-2t+3)^{\frac{2}{3}}(t+6)

\implies (t+6)(-2t+3)^{\frac{2}{3}}

You might be interested in
Evaluate 9/g 2 h+5 ​when g=3 and h=6
lbvjy [14]
9/3=3 and 6+5=11, I'm not sure what to do with the 2
4 0
3 years ago
Read 2 more answers
If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x-15), and m cdf= 43, find each measure.
Sergio [31]

Answer:

x = 7°

<GDH = 112°

<FDH = 192°

<FDE = 135°

Step-by-step explanation:

If DE bisects <GDH this means that <GDE = <EDH

Given <GDE = (8x+1)° and <EDH = (6x+15)° then;

8x+1 = 6x+15

8x-6x = 15-1

2x = 14

x = 7°

Since <GDH = <GDE + <EDH

<GDH = 8x-1+6x+15

<GDH = 14x+14

<GDH = 14(7)+14

<GDH = 98+14

<GDH = 112°

For <FDH,

Note that sum of angle on a straight line is 180°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDG = 180-(43+8x+1)

<FDG = 180-44-8x = 136-8x

<FDH = 136-8x+112

<FDH = 248-8x

<FDH = 248-8(7)

<FDH = 248-56

<FDH = 192°

For <FDE;

<FDE = <FDG + <GDE

<FDE = 136-8x+8x-1

<FDE = 135°

7 0
3 years ago
A kite has a perimeter of 70. One of the shorter sides measures 16 centimeters. What are the lengths of the other three sides?
KonstantinChe [14]
The sum of a long side and short side will be half the perimeter, so the long side has length (70/2) -16 = 19 cm.

The other three sides are 16 cm, 19 cm, 19 cm.
4 0
4 years ago
Read 2 more answers
Read the following descriptions. Decide who demonstrates a bad habit. Erica has a file folder with old bills and receipts.
Gekata [30.6K]

Answer:

the second one is considered a bad habit as those receipts can come in handy one day

Step-by-step explanation:

4 0
3 years ago
Need help please answer
ASHA 777 [7]

Answer:

123456789

Step-by-step explanation:

123456789123456789123456789123456789123456789123456789123456789123456789123456789123456788912345678912345678912345678912345678912345678 there is your answer

6 0
3 years ago
Other questions:
  • Lashed year palm tickets were $65, and this year they are $50. What is the percent of decrease in the price of prom tickets? Rou
    9·2 answers
  • iq scores on the wais test approximate a normal curve with a mean of 100 and a standard deviation of 15. what iq score is identi
    9·1 answer
  • What is the equation of the line x-3y=18 in slope-intercept form?
    7·2 answers
  • Which of the side lengths could form a triangle? A) 2 cm, 2 cm, 4 cm B) 3 cm, 5 cm, 10 cm C) 3 cm, 4 cm, 5 cm D) 4 cm, 8 cm, 15
    5·1 answer
  • Convert 7/12 to a percent
    6·2 answers
  • Which function best represents this graph?
    13·2 answers
  • The circumference of a circle is 8 cm. What is the diameter of the circle?
    5·2 answers
  • What value of n makes the equation true? Show your work.
    9·1 answer
  • Please solve this question​ If you answer questions I will make you branilist.
    8·1 answer
  • Solve this equation 7x + 1 /16 = 1 /2 Algebra
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!