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hjlf
3 years ago
10

What are the coordinates of the vertex of the function y-11=-(x-5)^2?

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0
The answer to the question is y=<span><span><span>−<span>x2</span></span>+<span>10x</span></span>−<span>14</span></span>
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Mark each! Of the following equations as true or false. Explain or showing your reasoning!
Airida [17]

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

8 0
2 years ago
For each part, give a relation that satisfies the condition. a. Reflexive and symmetric but not transitive b. Reflexive and tran
Vesnalui [34]

Answer:

For the set X = {a, b, c}, the following three relations satisfy the required conditions in (a), (b) and (c) respectively.

(a) R = {(a,a), (b,b), (c, c), (a, b), (b, a), (b, c), (c, b)} is reflexive and symmetric but not transitive .

(b) R = {(a, a), (b, b), (c, c), (a, b)} is reflexive and transitive but not symmetric .

(c) R = {(a,a), (a, b), (b, a)} is symmetric and transitive but not reflexive .

Step-by-step explanation:

Before, we go on to check these relations for the desired properties, let us define what it means for a relation to be reflexive, symmetric or transitive.

Given a relation R on a set X,

R is said to be reflexive if for every a \in X, (a,a) \in R.

R is said to be symmetric if for every (a, b) \in R, (b, a) \in R.

R is said to be transitive if (a, b) \in R and (b, c) \in R, then (a, c) \in R.

(a) Let R = {(a,a), (b,b), (c, c), (a, b), (b, a), (b, c), (c, b)}.

Reflexive: (a, a), (b, b), (c, c) \in R

Therefore, R is reflexive.

Symmetric: (a, b) \in R \implies (b, a) \in R

Therefore R is symmetric.

Transitive: (a, b) \in R \ and \ (b, c) \in R but but (a,c) is not in  R.

Therefore, R is not transitive.

Therefore, R is reflexive and symmetric but not transitive .

(b) R = {(a, a), (b, b), (c, c), (a, b)}

Reflexive: (a, a), (b, b) \ and \ (c, c) \in R

Therefore, R is reflexive.

Symmetric: (a, b) \in R \ but \ (b, a) \not \in R

Therefore R is not symmetric.

Transitive: (a, a), (a, b) \in R and (a, b) \in R.

Therefore, R is transitive.

Therefore, R is reflexive and transitive but not symmetric .

(c) R = {(a,a), (a, b), (b, a)}

Reflexive: (a, a) \in R but (b, b) and (c, c) are not in R

R must contain all ordered pairs of the form (x, x) for all x in R to be considered reflexive.

Therefore, R is not reflexive.

Symmetric: (a, b) \in R and (b, a) \in R

Therefore R is symmetric.

Transitive: (a, a), (a, b) \in R and (a, b) \in R.

Therefore, R is transitive.

Therefore, R is symmetric and transitive but not reflexive .

4 0
3 years ago
What is 40/100 simplified. I really need to know
marysya [2.9K]

fraction form is 2/5

decimal form is 0.4

8 0
3 years ago
Which is larger than 8.15: 55/9 or 57/7 or 41/5 or 65/8​
grin007 [14]
55/9 = 6.11
57/7 = 8.14
41/5 = 8.2
65/8 = 8.125

The answer is 41/5 is larger than 8.15
3 0
1 year ago
Read 2 more answers
Graph y+2 = -3/4(x+4)
Lera25 [3.4K]

Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

6 0
3 years ago
Read 2 more answers
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