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blondinia [14]
3 years ago
12

Find the vertex of the quadratic and explain how u get the answer step by step

Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

x²-4x-7=x²-4x+4+3=(x-2)²+3

put x-2=0,x=2

y=0+3=3

vertex is (2,3)

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Which equation demonstrates the opposite of a sum property?
melomori [17]

Answer: Choice D which is -(-6 + 17) = 6 + (-17)

A sum is the result of adding two numbers. It doesn't matter if those numbers are positive or negative. In choice D, we start with -6 and 17 which add to -6+17. Then we apply a negative sign to that entire thing to take the complete opposite to get -(-6+17)

The negative sign is distributed through to each term. Whatever was negative turns positive, or vice versa. So -6 turns to +6 or just 6, and 17 becomes -17. That explains how your teacher got 6 + (-17).

6 0
4 years ago
The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 re
Mariana [72]

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Lots of 50 means that N = 50

5 are defective, which means that k = 5

4 are selected, which means that n = 4

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

4 0
3 years ago
Math NEED HELP PLzPLZ
dusya [7]

Answer:

7x < 60

Step-by-step explanation:

6 0
3 years ago
Assume the $12,000 Treasury bill, 3% for 13 weeks. Calculate the effective rate of interest
Andreas93 [3]
Equation is f(x)=12,000(1.03)^13
the answer would be $17,622
if you were to plug into a scientific calculator
6 0
3 years ago
10.6+what equals 15 first one to reply gets the brainiest answer and a 5 star rating
rodikova [14]

Answer:

4.4

Step-by-step explanation:

10.6 + x = 15

x = 15 - 10.6 = 4.4

3 0
3 years ago
Read 2 more answers
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