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ozzi
3 years ago
8

Simplify the sum. (4u3 + 4u2 + 2) + (6u3 – 2u + 8)

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer: 10u3 + 4u2 - 2u + 10

Step-by-step explanation:

( 4u3 + 4u2 + 2) + ( 6u3 - 2u + 8)

opening the bracket

4u3 + 4u2 + 2 + 6u3 - 2u + 8

collecting like terms

4u3 + 6u3 + 4u2 - 2u + 2 + 8

10u3 + 4u2 - 2u + 10

You might be interested in
How to find an equation for a line through two given points?​
xz_007 [3.2K]

Answer:

The equation of the line is: y = 0.6x + 0.6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

So

m = \frac{6}{10} = 0.6

Then

y = 0.6x + b

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

y = 0.6x + b

3 = 0.6*4 + b

2.4 + b = 3

b = 0.6

The equation of the line is: y = 0.6x + 0.6

4 0
3 years ago
In the diagram below, DE and EF are tangent to O. Which equation could be solved to find X, the measure of DF.
Brut [27]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Formula

                     m∠E = \frac{1}{2} ( DGF - DF)

Data

m∠E = 48°

DGF = 228°

DF = x°

Substitution

                    48° = \frac{1}{2} ( 228° - x°)

Solution

                                     2(48) = 228 - x°

                                     96 = 228 - x°

                                     96 - 228 = - x°

                                    - 132 = - x°

                                       x° = 132°

7 0
3 years ago
Rani deposited AED 12000 for 3 years at the rate of 5 percent per annum. Calculate the simple interest and amount at the end of
Luda [366]

Answer:

the principal and the amount is 1,800 and 13,800 respectively

Step-by-step explanation:

The computation of the simple interest and amount for the end of the 3rd year is shown below:

Simple interest is

= Principal × rate of interest × time period

= 12,000 × 5% × 3 years

= 1,800

Now the amount is

= 12,000 + 1,800

= 13,800

hence, the principal and the amount is 1,800 and 13,800 respectively

7 0
3 years ago
Question 3<br> (-4)² =<br> How can I solve this
slava [35]
(-4)^2
A negative base raised to an even power gives us a positive so
4^2
4x4=16
4 0
3 years ago
Read 2 more answers
What is the square root of -1?
Alchen [17]

Answer: √−1=i.

Step-by-step explanation: When we say that the square root of a negative number "doesn't exist", we mean that there is no real number solution. However, if we consider complex numbers, we then get a solution to √−1=i.

4 0
3 years ago
Read 2 more answers
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