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VARVARA [1.3K]
4 years ago
14

Simplify the polynomial equation (5x^2 - 7x +10) +(7x^2 - 11) +(-x^2 +7x- 2)​

Mathematics
1 answer:
lorasvet [3.4K]4 years ago
3 0

Answer:

11x^(2) - 3

Step-by-step explanation:

Remove the parentheses: (a)=a

=5x^2-7x+10+7x^2-11-x^2+7x-2

Group the like terms:

=5x^2+7x^2-x^2-7x+7x+10-11-2

Add the similar elements : 5x^2+7x^2-x^2=11x^2

=11x^2-7x+7x+10-11-2

Continue to add similar elements: -7x+7x=0

=11x^2+10-11-2

Then add or subtract the numbers:  10-11-2=-3

<u>FINAL ANSWER</u>:= <em>11x^(2)-3</em>

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allochka39001 [22]

Answer:

(-1, 1), (-1, 4), and (1, 4) are the vertices of a right triangle.

Step-by-step explanation:

If you were to graph these three points on a coordinate plane, you'll notice that two of the sides form a right angle together, which means this triangle will be a right triangle. If you're looking for something more specific, it would be a right scalene triangle, where all sides are different in a right triangle.

4 0
3 years ago
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq
Alik [6]

Answer:

see below:

Step-by-step explanation:

2y–6=0

a.  slope intercept form using y = mx + b

   y = 6/2

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b.  slope: use the slope intercept form: y = mx + b

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c.  y-intercept = (0,3)

7 0
4 years ago
A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean s
soldi70 [24.7K]

Answer:

The teacher select a sample of n =15 students.  And he wanted to know if teaching a smaller class was more effective and students performed better, that means if \mu >78 and he obtaind a sample mean of \bar X>83.

Based on this the correct system of hypothesis are:

Null hypothesis: \mu =78

Alternative hypothesis: \mu >78

And the best option for this case is:

a. H0:\mu=78 vs. H1:\mu>78 .

Step-by-step explanation:

For this case we have the following previous info given:

\mu = 78 represent the true mean

\sigma =10 represent the true deviation

The teacher select a sample of n =15 students.  And he wanted to know if teaching a smaller class was more effective and students performed better, that means if \mu >78 and he obtaind a sample mean of \bar X>83.

Based on this the correct system of hypothesis are:

Null hypothesis: \mu =78

Alternative hypothesis: \mu >78

And the best option for this case is:

a. H0:\mu=78 vs. H1:\mu>78 .

5 0
3 years ago
Michelle is 7 years older than her sister Joan, and Joan is 3 years younger than their brother Ryan. If the sum of their ages is
Zielflug [23.3K]

Answer:

(C) 18

Step-by-step explanation:

We can create a systems of equations. Assuming m is Michelle's age, j is Joan's age, and r is Ryan's age, the equations are:

m = j + 7

j = r-3

m+j+r = 64

We can use substitution, since we know the "values" of m and j.

(j+7)+(r-3)+r = 64\\(j+7)+(2r-3)=64\\2r + j + 4 = 64\\2r + j = 60\\\\

r = 21, j = 18

So we know that Joan is 18 years old.

Hope this helped!

8 0
3 years ago
Simplify by combining like terms: 10x - 12y + 8 + 12y
victus00 [196]

Answer:

khan academy has a pretty good explanation on combining like terms. https://youtu.be/CLWpkv6ccpA. The image provided has the answer and what I did

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