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sasho [114]
3 years ago
12

Simplify this expression b+2+5b

Mathematics
2 answers:
ivann1987 [24]3 years ago
5 0

b+5b because they are like terms which equals to 6b so the answer is 2+6b
balu736 [363]3 years ago
4 0
OK so we combine like terms so 5b+b= 6b and then we write it all together so your answer will be 6b+2 

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Please help me with this question. Algebra 2 is hard!!
trapecia [35]

Answer:

  • domain: {x ∈ ℝ : x ≤ 5}
  • range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

<u>Domain</u>

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

  -3x +15 ≥ 0

  15 ≥ 3x . . . . . . add 3x

  5 ≥ x . . . . . . . . divide by 3

  x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

  domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

__

<u>Range</u>

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

  range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

<em>Comment on domain/range problems</em>

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0
3 years ago
A parallelogram is shown below:
nordsb [41]

9514 1404 393

Answer:

  A.  2 square feet

  B.  draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

  A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

  A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

__

B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

  A = 1/2bh

Using the given dimensions, ...

  A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle

7 0
3 years ago
What percentage is 390 grams of 800 grams?
valentina_108 [34]

Answer:

390/800=48.75%

Step-by-step explanation:

4 0
3 years ago
Differentiation. questions 1 and 2
drek231 [11]
For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y

Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m

Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18
4 0
3 years ago
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