Explain how you could write 35% as the sum of two benchmark percents or as a multiple of a percent.

2 answers:

7 0

Possible correct answers are:

20%+15%; and 50% of 70%.

Explanation:

Benchmark percents are percents that are commonly used. 20% and 15% are two commonly used percentages; the sum of them would be
20%+15% = 35%.

A multiple of a percent is a percent of a percent. Taking 50% of 70% of a number is the same as multiplying by 0.5(0.7) = 0.35.

makkiz [27]3 years ago

7 0

Best Answer : you would have to divide 35 with the place value it is in. For example : 35% ; 35/100 and then you divide which is 0.35, that is your answer. As a fraction 0.35 is really 7/20.

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PLEASE HURRY What is the measure of M? 52 Р 78° M

vodomira [7]

Answer:

50 degree

Step-by-step explanation:

the angle sum property of the equilateral triangle is =180 degree

since, 52 degree +78 degree +x =180 degree

130 degree + x =180 degree

x= (180-130) degree

<h3> x= 50 degree</h3>

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2 years ago

Why is it valid to say that both a function and its inverse describe the same relationship

liberstina [14]

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Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse.

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

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3 years ago

The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and

Agata [3.3K]

First. Finding the x-intercepts of $W(x)$

Let $W(x)$ be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

$f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}$

We use the Trial-and-Error Method which states that a factor of the constant term:

$a_{0}$

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

$W(x)=x^{4}-x^{3}-7x^{2}+x+6$

where the constant term is $a_{0}=6$ . The possible zeros are the factors of this term, that is:

$1, -1, 2, -2, 3, -3, 6 \ and \ -6$ .

Thus:

 $W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260$ 

From the foregoing, we can affirm that $1, -1, -2 \ and \ 3$ are zeros of the polynomial.

Second. Construction a rough graph of $W(x)$

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

$[-2,-1]$

and compute $W(c)$ where $c$ is a real number between -2 and -1. If $W(c)>0$ , the curve start rising, if not, the curve start falling. For instance:

$If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81$

Therefore the curve start falling and it goes up and down until $x=3$ and from this point it rises without a bound as shown in the figure below