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
nikdorinn [45]
3 years ago
7

Factor the equation: x^2+5x-14

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0

Answer:

(x + 7)(x - 2)

Step-by-step explanation:

To do this, set up "templates."  To set these up, look at the signs on the second and third numbers.  The second number is positive, and the third is negative.  

The third number being negative means that the factored phrases will have different signs for the integers.  The second number being positive means that the the larger number will be positive.

The "templates" are  (x +  )(x -  ).

Next, fin the factors of 14 (1, 14 and 2, 7)

2 and 7 are the pair that will give us the second number, 5.  With the larger number being 7, this is the positive number.

(x + 7)(x - 2)

You can check your answer using FOIL, which is the order in which you multiply the numbers.  Front, outer, inner, and last.

Front: x²

Outer: -2x

Inner: 7x

Last: -14

Add it all up.

x² + (-2x) + 7x + (-14)

x² + 5x - 14

Gre4nikov [31]3 years ago
5 0

Answer:

Step-by-step explanation:

You might be interested in
Idk this and it’s due tomorrow but I don’t have the slightest clue on how to do it
vovikov84 [41]
Well if her speed is 55 miles per hour
1 hour= 55 miles
? hour= 192 miles
You can divide by 55 and get
3.5 ( I rounded the number)
Hope this helps?
4 0
3 years ago
2) Abby made 5 1/2 cups of banana pudding. She served 7/8 cup of the pudding to her kids for dessert.
frez [133]

Answer:

<u>37/8</u>

Step-by-step explanation:

we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.

5 1/2 = 11/10

in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)

11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer

11/2 - 1 = 9/2

we will now us the cup we subtracted from that and "give it to the kids"

 1 = 8/8

so

8/8 - 7/8 = 1/8

so we have 1/8 leftover from that cup, so we can add that back

since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:

9/2 = 36/8

so

1/8 + 36/8 = 37/8

so since 37/8 cannot be simplified anymore, the answer is

<u>37/8</u>

3 0
3 years ago
There are 9 people taking part in a raffle.
Marianna [84]

Answer:

  • <em>Probability of event A: </em>1<u>/504</u>
  • <em>Probablity of event B:</em> <u>1/84</u>

Explanation:

1. Event A: Bob is the first prize winner, Lena is second, and Ann is third,

  • The probability that Bob is the first prize winner is one outcome out of 9 possible outcomes, so it is 1/9

  • The probability that Lena is second, after Bob is the first prize winner is one outocome out of 8 possible outocmes, so it is 1/8

  • The probability Ann is third, after Bob y first and Lena is second is 1/7.

Thus, the joint probability that Bob is the first prize winner, Lena is second, and Ann is third is the product of the three calculated probabilities:

  • 1/9 × 1/8 × 1/7 = 1 / (9×8×7) = 1/504 ← answer

2. Event B: The first three prize winners are Soo, Omar, and Kira, regardless of order

When the order does not matter, the number of combinations for three different persons win the 3 prizes is C(3,3), which is computed with the corresponding formula:

          C(m,n)=\dfrac{m!}{n!(m-n)!}  

Thus:

          C(3,3)=\dfrac{3!}{(3!(3-3)!}=1

And the number of possible combinations of winners is C(9,3):

                 C(9,3)=\dfrac{9!}{3!(9-3)!}=84

Then, the probability is the number of favorable combinations, C(3,3) = 1, divided by the number of possible combinations, C(9,3) = 84:

  • 1/84 ← answer
8 0
4 years ago
Please Help<br> 3p/5=12<br> p=?
NikAS [45]
3p/5 = 12

Multiply 5 to both sides:

3p = 60

Divide 3 to both sides:

p = 20
3 0
3 years ago
A dentist wants to find out how often her patients floss their teeth. Which samples are biased? Check all that apply. all her pa
ArbitrLikvidat [17]

Answer:

all her patients patients with no cavities

patients younger than 18

every patient with braces

Step-by-step explanation:

when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.

From given case, all the following are biased samples

all her patients patients with no cavities

patients younger than 18

every patient with braces

because they are non-random sample of a population in which all other elements were not equally likely to be chosen!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following inequalities represents this situation: Ella has to travel at least 457 miles today. She has already trav
    9·1 answer
  • Can u help me please?
    6·1 answer
  • Need help please!!!!
    6·1 answer
  • A. Let a, b, c be positive integers and suppose that
    12·1 answer
  • I need help i need three more and one lesson tryna gts rn tho <br> It’s due tdy :/
    8·2 answers
  • The measurement of a side of a square is found to be 10 centimeters, with a possible error of 0.07 centimeter. (a) Approximate t
    14·1 answer
  • This one and 1 more!!!
    7·1 answer
  • SOMEONE PLZ HELP ME 100 POINTS
    5·1 answer
  • What is the volume of a cylinder, in cubic m, with a height of 6m and a base diameter
    15·1 answer
  • Work out the value of angle x.<br> Х<br> 974
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!