All categories

3 years ago

What number would you add to both sides of x^2+7x=4 to complete the square?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

49/4

Step-by-step explanation:

x^2+7x=4

Take the coefficient of x

Divide by 2

7/2

Then square it

(7/2) ^2 = 49/4

Add this to both sides of the equation to complete the square

You might be interested in

In early 2016 there were about 80 devil's line ving on the maria island of the total of 75% are offspring from the previous two

Tju [1.3M]

Answer: 60 devil offspring.

Step-by-step explanation:

The total number of devils in the Island is 80.

Out of this 80, 75% are offspring from the two previous breeding seasons.

This percentage in a whole number is what the question requires.

The number of offspring from previous seasons is:

= Percent of offspring from previous seasons * Total number of devils

= 75% * 80

= 60 devil offspring.

4 0

2 years ago

Given h(x) = –2 – 3, find h(-6).

igomit [66]

Answer

Step-by-step explanation:

h(-6)=-(-6)-3

h(-6)=6-3

h(-6)=3

4 0

3 years ago

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}$

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

$P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483$

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

5 0

3 years ago

9% of 750............................

babunello [35]

67.5 is your answer.

8 0

2 years ago

Read 2 more answers

Do you convert 100 inches per minute to feet per minute

spin [16.1K]

Your answer would be 8.3333333 feet per minute

4 0

3 years ago

Read 2 more answers