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saw5 [17]
2 years ago
9

Solve for X

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

x = 48

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

156° is an exterior angle of the triangle, then

108 + x = 156 ( subtract 108 from both sides )

x = 48

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F(x) = 6x + 5. Work out, simplifying fully: 2f(x) + 6.
Yuki888 [10]
Replace the f(x) in the second equation will 6x + 5 so then it looks like 2(6x + 5) + 6. Then distribute so it’s 12x + 10 + 6 and then simplify to 12x + 16
8 0
3 years ago
Emily added 5 grams of water into 20 grams of 50% salt solution.
atroni [7]
Answers:
She made ___25___ grams of ___40___% salt solution

------------------------------------------------------------------

The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution

The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water

So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration

5 0
3 years ago
What term is used to describe the graphical representation of the change in microbial population over time?
ruslelena [56]

Answer:

The term exponential is often used.

Step-by-step explanation:

The term exponential is used to represent changes in population over time.  The idea of (positive) exponential is that the higher the number, the higher the growth. You can relate this with a population, because the higher the population, the more opportunities for it to multiply, thus, the higher it grows.

Usually the way to meassure the population of an species after certain number of years x, you use an exponential function of the form

f(x) = K_0 * a^x

For certain constants K₀ and a. K₀ is the initial population at the start of the experiment and <em>a </em>number of exponential growth. Essentially, the population of the species is multiplied by a during each year.

For example, if K₀ = 1000 and a = 2, then the population at the start of the experiment is 1000. After the first year is 1000*2 = 2000 and after the second year it is 2000*2 = 4000. Note that, not only the population grow during the years, but also the amount that the population increases also grow: in the first year it grows 1000, and between the first and second year it grows 2000.

7 0
3 years ago
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 2 2x − 1 Which expression is the resu
Stolb23 [73]

The perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

<h3>What is a perimeter?</h3>

A perimeter is a closed path that outlines either a two-dimensional shape or a one-dimensional length.

Given that the length is 3x+2 and the width is 2x-1. The perimeter of a rectangle is given below.

P = 2 (L + W)

P = 2 ( 3x+2 + 2x-1)

P = 2 ( 5x +1)

P =10x +2

A polynomial function is a function that involves only positive integer exponents of a variable in an equation.

Hence we can conclude that the perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

To know more about the perimeter, follow the link given below.

brainly.com/question/6465134.

6 0
2 years ago
32% of 300 is what number?
Wewaii [24]

Answer:

96

Four options to solve:

1.  32% of 300 = 96

<em>OR</em>

2.  32% × 300 = 96

<em>OR</em>

3.  0.32 × 300 = 96

<em>OR</em>

4.  \frac{32}{100} × 300 = 96

8 0
2 years ago
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