answer.
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
inn [45]
2 years ago
5

y = x2 + 11x + 24 is equivalent to the graph of which equation? y = (x + 8)(x + 3) y = (x + 4)(x + 6) y = (x + 9)(x + 2) y = (x

+ 7)(x + 4)
Mathematics
1 answer:
Montano1993 [528]2 years ago
7 0

Answer:

First option: y=(x + 8)(x + 3)

Step-by-step explanation:

Given the quadratic equation y = x^2 + 11x + 24, you need to factor it.

To do this, you need to find two number that when you add them you get 11 and when you multply them you get 24. These numbers are: 8 and 3.

Therefore, knowing this, you can factor the quadratic equation:

y = x^2 + 11x + 24\\\\y=(x + 8)(x + 3)

Then, y = x^2 + 11x + 24 is equivalent to the graph of the equation y=(x + 8)(x + 3), which matches with the first option.

You might be interested in
A student rolled two six-sided dice 100 times. The table captures the total of the dice on each roll. How to show results using
ivann1987 [24]
I think the best way to show the results in a chart format is to put zero to twelve on the y-axis or vertically and zero to one hundred on the x-axis or horizontally. Label the y-axis total per roll and the x-axis roll number.Then plot the coordinates or pairs from the table.
5 0
2 years ago
Read 2 more answers
I round to 900 I have twice as many hundreds as ones and all my digits are different but their sums are 18 can someone answer th
stellarik [79]

Answer:

The number of once is 9.1  

The number of hundreds is 8.9

Step-by-step explanation:

Given as :

The total of digits having ones and hundreds = 900

The sum of digits = 18

Let The number of ones digit = O

And The number of hundreds digit = H

So, According to question

H + O = 18             .........1

100 × H + 1 × O = 900          ........2

Solving the equation

( 100 × H - H ) + ( O - O ) = 900 - 18

Or, 99 H + 0 = 882

Or , 99 H = 882

∴   H = \frac{882}{99}

I.e H = 8.9

Put the value of H in eq 1

So, O = 18 - H

I.e  O = 18 - 8.9

∴    O = 9.1

So, number of once = 9.1

number of hundreds = 8.9

Hence The number of once is 9.1  and The number of hundreds is 8.9

Answer

4 0
2 years ago
In a survey of 2,300 people who owned a certain type of car, 1,610 said they would buy that type of car again. What percent of t
trapecia [35]

Answer:

In a survey of 2,300 people who owned a certain type of car, 1,610 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

1610/2300x100=

70%

Step-by-step explanation:

total number of people for the survey= 2300

those that wanted to buy the car= 1610

percentage= 1610/2300x 100=0.7x 100

percentage= 70%

3 0
2 years ago
CRITICAL THINKING A local zoo employs 36 people to take care of the animals each day. At most, 24 of the employees work full tim
k0ka [10]

We assume all employees are either full-time or part-time.

36 = 24 + 12

If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)

_____

You can write the inequality in two stages.

  1. First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
  2. Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.

Let f and p represent the numbers of full-time and part-time employees, respectively.

... f + p = 36 . . . . . . given

... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.

... f ≤ 24 . . . . . . . . . given

... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.

... 36 - 24 ≤ p . . . . add p-24

... p ≥ 12 . . . . . . . . the solution to the inequality

5 0
2 years ago
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w
mafiozo [28]

The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.

Explanation:

One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.

3 0
2 years ago
Other questions:
  • At a large university, the probability that a student takes calculus and is on the dean's list is 0.042. the probability that th
    11·1 answer
  • If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?
    7·1 answer
  • Consider 8x2 - 48x = -104. Write the equation so that x2 – 6x + (blank) = –13 + (blank)
    12·2 answers
  • Which equations represent a line that passes through the points given in the table? Check all that apply.
    12·2 answers
  • Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction o
    14·2 answers
  • If rs 500 amounts to Rs 725 at 9% simple interest in sometime ,what will Rs 600amount to at 11% in same time?
    14·1 answer
  • Mr. Torres took his students to the dolphin show. Each row in the stadium had 11 seats. One adult sat at each end of a row, and
    8·1 answer
  • a lab technician must screen 175 slides under the microscope each week. if she works 7 hours a day, 5 days a week, how many slid
    6·2 answers
  • If 1/6 of the books in the library are cookbooks and 2/5 of the cookbooks are vegetarian cookbooks what fraction of the books in
    13·2 answers
  • In some languages, every consonant must be followed by a vowel. How many seven-letter ‟words” can be made from the Hawaiian word
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!