1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maks197457 [2]
3 years ago
6

Solve the equation by completing the square

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

b1=2\sqrt{46} +10

b2=10-2\sqrt{46}

Step-by-step explanation:

You might be interested in
Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer p
Natalija [7]

Answer:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

  • Seed Cost for x acre of corn = $40x
  • Seed Cost for y acre of soybeans = $32y

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Next, we graph the inequality

When$ x=0, y\leq156.25\\When$ y=0, x \leq 125

The graph is attached below.

4 0
3 years ago
Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
spayn [35]

Answer:

60.26% probability that less than twenty students are absent

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 120, p = 0.15.

So

\mu = E(X) = np = 120*0.15 = 18

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.15*0.85} = 3.91

If a random sample of 120 names is called on a Monday, what is the probability that less than twenty students are absent?

This is the pvalue of Z when X = 20-1 = 19. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19 - 18}{3.91}

Z = 0.26

Z = 0.26 has a pvalue of 0.6026.

60.26% probability that less than twenty students are absent

3 0
3 years ago
If x=-4 what is the value of the following expression?
EleoNora [17]

Answer:

i think it's -46 but i don't know srry if this does not help

Step-by-step explanation:

3 0
3 years ago
Which of the following is a solution to the quadratic equation x2-3x-54=0
BaLLatris [955]

Answer:

A

Step-by-step explanation:

x² - 3x - 54 = 0

x² - 9x + 6x - 54 = 0

x(x - 9) + 6(x - 9) = 0

(x - 9)(x + 6) = 0

x = -6,9

7 0
3 years ago
Read 2 more answers
Can someone translate this into a verbal expression 3(4j + 4 + j)?
dalvyx [7]
3(5j+4)
15j+12

final answer 15j+12
5 0
3 years ago
Other questions:
  • Can a parallelogram have two 45 degree angles and two 75 degree angles? Why or why not?
    11·2 answers
  • Help plz with 17,18,19
    6·2 answers
  • A drama club is selling tickets to the spring musical. The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 i
    10·1 answer
  • WILL GIVE BRAINLIEST Which expression represents the volume, in cubic units, of the composite figure?
    6·1 answer
  • What is the service area of the sphere with a radius of nine units
    14·1 answer
  • 9ax^2 +9ax+9a<br> Find the greatest common factor
    6·1 answer
  • How many cubic inches of water will a spherical water ballon hold with a surface area of 113.04
    8·1 answer
  • The base and height in a figure are always what?
    10·1 answer
  • find the greatest possible length which can be used to measure exactly the lengths 4m 95cm; 9m and 16m 65cm?​
    13·1 answer
  • What is the equation of a line whose slope is -2 and whose y-intercept is 4?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!