8 + 6t - 3t + t would equal 12t^3? First one gets Brainliest Answer!

Answers

Answer 1
Answer:                                        8 + 6t - 3t + t = 12t³
                                             8 + 3t + t = 12t³
                                                  8 + 4t = 12t³
                                      -12t³ + 4t + 8 = 0
                               -4(3t³) - 4(t) - 4(2) = 0
                                        -4(3t³ - t - 2) = 0
                                                 -4          -4
                                              3t³ - t - 2 = 0
                     3t³ + 3t² - 3t² + 2t - 3t - 2 = 0
                     3t³ + 3t² + 2t - 3t² - 3t - 2 = 0
t(3t²) + t(3t) + t(2) - 1(3t²) - 1(3t) - 1(2) = 0
              t(3t² + 3t + 2) - 1(3t² + 3t + 2) = 0
                              (t - 1)(3t² + 3t + 2)  = 0
                   t - 1 = 0    or    3t² + 3t + 2 = 0
                    + 1 + 1                            t = -(3) ± √((-3)² - 4(3)(2))
                        t = 1                                                2(3)
                                                           t = -3 ± √(9 - 24)
                                                                         6
                                                           t = -3 ± √(-15)
                                                                        6
                                                           t = -3 ± i√(15)
                                                                       6
                                                           t = ⁻¹/₂ ± ¹/₆i√(15)
                                                           t = ⁻¹/₂ + ¹/₆i√(15) or t = ⁻¹/₂ - ¹/₆i√(15)

Solution Set: {1, ⁻¹/₂ ± ¹/₆i√(15)}

Related Questions

If the dimensions of a figure are doubled, then the area of the figure is___.
What is 12 percent of 120?
How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]
Area of room is 320 and width is 4/5 of length
Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Miguel wants to make 5 inch line can he do this using the 1/2 in strip that he has.Explain

Answers

frist 5 in / 1 over 2 = 2.5

So yes she can do that

If sin theta is -4/5. 270 degrees is less than theta and theta is less than 360 degrees. What is tan theta?

Answers

Answer:

tan theta = -4/3.

Step-by-step explanation:

The inequality means that theta is in the 4th quadrant ( between 270 and 360 degrees.

The angle whose sine is 4/5  is 53.13 degrees.

So the angle whose sine is -4/5 is 306.87 degrees.

The tangent is negative and  the triangle formed by the angle in the 4th quadrant has sides   3, - 4 and 5  ( by the Pythagoras theorem).

So tan theta =  opposite / adjacent = -4/3  (answer).

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $95. The perm costs twice as much as her haircut and she needs $5 for lunch. How much does the perm cost?

Answers

so perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch

so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60

perm=$60

Which measures would be the side lengths of a right triangle?A. 2 cm, 5 cm, 7 cm
B. 9 cm, 14 cm, 17 cm
C. 7 cm, 17 cm, 24 cm
D. 5 cm, 12 cm, 13 cm

Answers

Conditions for side lenghts for triangle:
a<b+c and
b<c+a and
c<a+b
so we check all posibilities:
A) 2+5=7 we can see that one condition is not fulfilled so they can't be side lenghts of triangle
B) 9<14+17
14<9+17
17<14+19
All conditions are fulfilled so they can be side lenghts of triangle
C)7<17+24
17<7+24
24<17+7
All conditions are fulfilled so they can be side lenghts of triangle
D)5<12+13
12<5+13
13<5+12
All conditions are fulfilled so they can be side lenghts of triangle
 

Solve using a Venn Diagram.Of the 154 student musicians, 72 are in marching band, 35 are in the jazz band, and 20 are in both.
A)Draw a Venn Diagram
B)How many are in neither?
C)How many play the jazz band, but not the marching band?

Answers

A. Attached with answer. 

B. According to image
Students which are in neither = 154 -72 -35 + 20
= 67

C = Students who play jazz but not marching band = Students in Jazz band - Student who can do both
= 35 - 20
= 15

What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10

Answers

The product of  3a + 5 and 2a2 + 4a – 2 is \rm 6a^3+22a^2+14a-10\n, the correctoption is A.

What is the product of two algebraic expressions?

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

\rm =(3a + 5) *( 2a^2 + 4a -2)\n\n= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\n\n =6a^3+12a^2-6a+10a^2+20a-10\n\n=6a^3+22a^2+14a-10\n

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is \rm 6a^3+22a^2+14a-10\n.

To know more about multiplication click the link given below.

brainly.com/question/14059007

Answer:

6a3 + 22a2 + 14a - 10

Step-by-step explanation:

(3a + 5) x (2a^2 + 4a - 2)

= 3a(2a^2 + 4a - 2) + 5(2a^2 + 4a - 2)

= 6a^3 + 12a^2 - 6a + 10a^2 + 20a - 10

= 6a^3 + 22a^2 + 14a - 10