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Ket [755]
3 years ago
7

Combine like terms to create an equivalent expression -3.6-1.9t+1.2+5.1t​

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

-2.4 + 3.2t

Step-by-step explanation:

To combine the like terms, add both the numbers with the variable t together and the others without together.

-3.6+1.2= -2.4

-1.9t + 5.1t = 3.2t

Putting the sums together you should get:

-2.4 + 3.2t

If you're confused about how to subtract/add negative numbers, I like to ignore the sign--depending on what it is of course. For example, I rewrite -3.6+1.2 as 3.6-1.2. When you get the answer for that (2.4), add a negative symbol in front because the negative number was greater than the positive. I hope that helps rather than confusing you.

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X^2 -6x -8 is a parabola in ax^2 + bx + c form
The axis of symmetry is -b/2a = 3
The vertex is (3,f(3)) = (3,-17)
The x-intercept is f(x)= 0 where x=-1.123, 7.123
Graphing:  it opens upwards

3 0
3 years ago
Simplest form for 4 1/10
Hunter-Best [27]

Answer:

That is the simplest form.

Step-by-step explanation:

6 0
4 years ago
Solve the system of equations.
slava [35]

Answer:

B

Step-by-step explanation:

Given the 2 equations

3x - 2y = 6 → (1)

5x + 4y = 32 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

6x - 4y = 12 → (3)

Add (2) and (3) term by term to eliminate y

11x = 44 ( divide both sides by 11 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (2)

5(4) + 4y = 32

20 + 4y = 32 ( subtract 20 from both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (4, 3 ) → B

8 0
3 years ago
What is the slope of the equation 2x-5y=10
VikaD [51]
Using the slope-intercept form, y=mx + b to find the slope I found that correct answer is 2/5.
6 0
3 years ago
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle tra
zysi [14]

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

Learn more here: brainly.com/question/13989292

3 0
3 years ago
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