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steposvetlana [31]
3 years ago
10

What’s the answer to my question

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

I think its 71

Step-by-step explanation:

Well the average between  -3 -2 and -1 seems to be -2, so all i do is 95-24 and you get 71, either that or 65. I highly think its 71 though

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In the year 1995, there were 1200 students at pine elementary school. In the year 2010 there were 1500 students. Find the rate o
AnnZ [28]

The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be: y=20x-38700

<em><u>Explanation</u></em>

In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.

If x represents the year and y represents the number of students, then two points in form of (x,y) will be: (1995, 1200) and (2010, 1500)

So, the rate of change or slope = (change in value of y / change in value of x) =\frac{1500-1200}{2010-1995}= \frac{300}{15}=20

Now, plugging  slope(m) = 20 and first point (x_{1}, y_{1}) =(1995,1200)  into <u>point slope form of linear equation</u> y-y_{1} =m(x-x_{1}) , we will get.....

y-1200=20(x-1995)\\ \\ y-1200=20x-39900\\ \\ y= 20x-39900+1200\\ \\ y= 20x-38700



4 0
3 years ago
a large drink costs 50 cents more than a small drink. write an expression for the total cost of 3 small drinks and 2 large drink
Shkiper50 [21]
Since a small drink is the cheapest, make the cost of a small drink=x. Since a large drink costs 50 cents more than a small drink, let a large drink=x+50. The total of the drinks is the sum of the individuals. Since the cost of a small drink is x, 3 drinks cost 3x. Since the cost of a large drink is x+50, the cost of 2 drinks is 2(x+50). The cost of all of the drinks together is 3x+2(x+50). Distribute the 2. 3x+2x+100. Combine like terms. 5x+100. This will give you your answer in cents. If you need an answer in dollars, you multiply that expression by 0.01.
5 0
3 years ago
. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???
grandymaker [24]

Answer with Step-by-step explanation:

We are given that

tan(\alpha+\beta)

\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}

By using formulatan x=\frac{sin x}{cos x}

\frac{sin\alpha cos\beta+sin\beta cos\alpha}{cos\alpha cos\beta-sin\alpha sin\beta}

By using property:sin(x+y)=sin x cosy+cos x sin y

cos(x+y)=cos x cosy-sin x siny

Divide numerator and denominator by cos\alpha cos\beta

Then, we get

\frac{\frac{sin\alpha}{cos\alpha}+\frac{sin\beta}{cos\beta}}{1-\frac{sin\alpha sin\beta}{cos\alpha cos\beta}}

tan(\alpha+\beta)=\frac{tan\alpha+tan\beta}{1-tan\alpha tan\beta}

Hence, proved

Substitute \alpha=\beta

Then we get

tan 2\alpha=\frac{tan\alpha+tan\alpha}{1-tan^2\alpha}

tan(2\alpha)=\frac{2tan\alpha}{1-tan^2\alpha}

Hence, proved.

3 0
3 years ago
What is the x-coordinate of the midpoint of the segment whose endpoints are<br> (2, 3) and (-5, 5)?
ArbitrLikvidat [17]

Answer:

(-3/4, 4)

Step-by-step explaination:

add 2 and -5 then divide them by two and get

-1/2

then add 3 and 5 divide them by two and get

11/2

But as long as you remember that you're averaging the two points' x- and y-values, you'll do fine. It won't matter which point you pick to be the "first" point you plug in. Just make sure that you're adding an x to an x, and a y to a y.

so therefore the answer is (-3/4, 4)

7 0
3 years ago
Organize the following polynomial expressions from least to greatest based on their degree: x 2xyz 3x y z 2x3y y2x − 3x 4 9x3yz
bazaltina [42]

Using polynomial concepts, it is found that the sorting of the polynomial expressions from least to greatest based on their degree is given by: I, III, II, IV.

<h3>What is the degree of a polynomial?</h3>

The degree of a polynomial is given by it's largest exponent.

In this problem, the <em>polynomials </em>are given by:

  • I: x + 2xyz.
  • II: 9x³y².
  • III: 18x² + 5ab - 6y
  • IV: 4x^4 + 3x^2 - x - 4

Hence, the respective degrees are: 1, 3, 2, 4, and the ordering from least to greatest is: I, III, II, IV.

You can learn more about the degree of a polynomial at brainly.com/question/7592815

5 0
3 years ago
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