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4 years ago

Convert

Mathematics

1 answer:

Rzqust [24]4 years ago

3 0

The answer is A. 0.12 using the long division method.
See attachment below.
Hope it helped!

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10x^ <img src="https://tex.z-dn.net/?f=10%20x%7B%7D%5E%7B2%7D%20%20%2B%2019x%20-%2015%20%3D%200" id="TexFormula1" title="10 x

Xelga [282]

Solve for x over the real numbers using factor method:
10 x^2 + 19 x - 15 = 0

The left hand side factors into a product with two terms:
(2 x + 5) (5 x - 3) = 0

Split into two equations:
2 x + 5 = 0 or 5 x - 3 = 0

Subtract 5 from both sides:
2 x = -5 or 5 x - 3 = 0

Divide both sides by 2:
x = -5/2 or 5 x - 3 = 0

Add 3 to both sides:
x = -5/2 or 5 x = 3

Divide both sides by 5:

Answer: x = -5/2 or x = 3/5

4 0

3 years ago

How many lines of symmetry does a hart appear to have

Verdich [7]

1 symmetry line on a heart , down the middle of the heart.

8 0

4 years ago

Suppose that poaching reduces the population of an endangered animal by

Sedbober [7]

Answer:

38.26 years.

Step-by-step explanation:

We have been given that the population of an endangered animal by reduces 8% per year. the current population of the animal is 1700. When the population of this animal falls below 70, its extinction is inevitable.

Let us write the model for population of this animal (y) after x years.

Since we know that an exponential decay function is in form: $y=a*(1-r)^x$ , where,

a= Initial value.

r = Rate in decimal form.

Let us convert our given rate in decimal form.

$8\%=\frac{8}{100}=0.08$

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:

$y=1700*(1-0.08)^x$

$y=1700*(0.92)^x$

Let us find, when the animal population will face extinction by substituting y=70 in our function.

$70=1700*(0.92)^x$

$\frac{70}{1700}=\frac{1700*(0.92)^x}{1700}$

$0.0411764705882353=0.92^x$

Let us take natural log of both sides of our equation.

$ln(0.0411764705882353)=ln(0.92^x)$

$ln(0.0411764705882353)=x*ln(0.92)$

$-3.1898882879949483163=x*-0.0833816089390511$

$x=\frac{-3.1898882879949483163}{-0.0833816089390511}$

$x=38.2564971890460849445284\approx 38.26$

Therefore, the population of the animal will face extinction after 38.26 years.

5 0

4 years ago

Need Help!!!!!!!!! A group of students must collect at least $150 to organize a science fair. They have already collected $30. W

dedylja [7]

Number line graph with closed circle on 30 and shading to the rightbecause you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.

7 0

3 years ago

This is the set made taking all the elements from two sets, not repeating any elements

Nadya [2.5K]

Union of sets is the that is made taking all the elements from two sets, not repeating any elements. It is denoted by U. It is one of the fundamental operations through which sets can be combined and related to each other. Hope this answers the question.

3 0

3 years ago