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11111nata11111 [884]
2 years ago
8

Which of the following shows the additive inverse property? 9 + 0 = 9 9 + 1 = 10 9 + (-1) = 8 9 + (-9) = 0

Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0
9+(-9)=0  you are showing the opposite sign of the number that added together would give you the sum of zero.

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What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​
Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

5 0
2 years ago
Simplify the expressioh 6.9-(-5)+4.1
Vadim26 [7]

Answer:

16

Step-by-step explanation:

6.9-(-5)+4.1

When we subtract negatives, it is like adding positives

6.9 +(5)+4.1

11.9 + 4.1

16

8 0
3 years ago
The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel
kaheart [24]
0.43h + 0.65p + 1.31d = c

explanation:
h stands for hotdogs, p for pretzels, and d for drinks. c represents the total cost. 
each price next to the variable describes the profit per item.

hope this helps! :D
4 0
3 years ago
Read 2 more answers
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e
Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0
3 years ago
If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes
Tanya [424]

Answer:

58

Step-by-step explanation:

7 0
2 years ago
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