Factorize: Challenge problem:
x^2+19x+78
help :)

Answers

Answer 1

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

Answer 2

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]


Related Questions

the absolute value of 15.3 is the opposite of 15.3?​

Answers

Answer:

No. The absolute value of 15.3 is 15.3, not the opposite.

Step-by-step explanation:

Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.

Factor completely.
x3 + x2 – 25x – 25
what’s the answer

Answers

Answer:

(x+1)(x+5)(x-5)

Step-by-step explanation:

Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)

Answers

Answer:

16/24

Step-by-step explanation: Multiply the fractions....( / )

By one by one then divided them together.

The equation of the line that has a slope of 3 and passes through the point (2, 1) is y = 3x - 5.
True
ОО
False

Answers

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.

Answers

Answer:

Bert is 11 years old and Max is 17 years old.

Step-by-step explanation:

System of Equations

To solve the system of equations, we use two variables x and y. Let's make:

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:

x - 5 = 2(y - 5)        [1]

It's also known a year from now, the sum of their ages would be 30:

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

(2y - 5) + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3 = 11

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5 = 17

x = 17

Max is 17 years old and Bert is 11 years old

a) Solve x² + 4x - 8 = 0 by completing the square​

Answers

Answer:

x = 2 + 2i, x = 2 - 2i

Step-by-step explanation:

[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]

can u pls help me with this question ​

Answers

D. because 9:45 and 12:60 because if you divide y by x it’s 5, while 3:12 and 6:24 are 4

Marlye asked students in her school whether they prefer scary movies or comedies. She found that 35 students prefer scary movies while 65 students prefer comedies. What percent of the students questioned prefer scary movies? 30% 35% 50% 65%

2
SEE ANSWERS

Answers

Answer:

The answer is 35%

Step-by-step explanation:

If we add together 35 and 65 we get 100.  This means altogether there are 100 kids in her school.  Out of those 100 kids, 35 like scary movies.  We can write this as the fraction 35/100.  This is equivalent to 0.35 or 35%.

Answer:

35%

Step-by-step explanation:

35+65

= 100

[tex]\frac{35}{100} * 100[/tex]

= 35%

Your velocity is 13 feet per second. Are you moving up or down

Answers

Answer:up

Step-by-step explanation:...

Answer:

U are moving up

Step-by-step explanation:

Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer

For exercises 16-18 , trace each figure and draw its rotated image

Answers

The answer is r(b x p) d

Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?

Answers

Answer:

€4.20

Step-by-step explanation:

the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21

21÷5 =4.2

DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270

Answers

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

What is the distance?

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.

Answers

9514 1404 393

Answer:

  5 1/2 cm

Step-by-step explanation:

The perimeter is the sum of the given lengths (in cm):

  P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)

  = (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)

  = 4 + 1 5/10

  = 5 1/2

The perimeter of the figure is 5 1/2 cm.

I need help please help me

Answers

Answer:

You're right- I'm pretty sure it's C.

Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he make

Answers

Answer:

10

Step-by-step explanation:

divide the numbers for a anser

Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.

Answers

Answer:The answer is C....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.

How many rows must they reserve?

Answers

There should atleast have atleast be 60 seats for all of those people because for this cause of reason it should be 60 put 60 as the answer

Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2

Answers

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]

Not true for both equations

Hence,

Option b is the correct answer.

When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?

Answers

Answer:

We have two 6-sided dice.

Each one of them has 6 possible outcomes.

The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them

Then the total number of outcomes is:

C = 6*6 = 36.

The number of outcomes where the sum of the dice are 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

So we have 6 outcomes where the sum of both numbers is equal to 7.

The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)

The probability is:

P = 6/36 = 1/6

Now let's do the same for 11.

The outcomes where the sum is 11 are:

5 and 6

6 and 5

So we have two outcomes.

In this case, the probability will be:

P = 2/36 = 1/18

Is it appropriate to fit a simple linear regression model that predicts survival (live or die) of a mouse using the quantitative variable of drug dosage (in milligrams) as a predictor variable?

Answers

Simple linear regression is typically not best for a binary dependent variable (live or die). I think a probit or logit regression is more appropriate if I remember correctly...

A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?

Answers

Is that the right question?

PLZ HELP FAST

Enter an equation in standard form to model the linear situation.

A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.​

Answers

Answer:

Step-by-step explanation:

it is losing 4 500 every   2 hours. so 2 250 every hour. It will go like 19 000

- 14 500 - 10 000 - 5 500 -  1 000. Then it will lose the rest in less than 30 minutes

For a car that gets 21 miles per gallon, how far can it travel on 2/3 gallons?

Answers

Multiply miles per gallon by gallons:

21 x 2/3 = (21x2)/3 = 42/3 = 14

It can travel 14 miles.

PLEASE I NEED HELP I NEED THIS TO GET MY GRADE UP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Second one

Step-by-step explanation:

Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5

Answer:

Second chart

Step-by-step explanation:

Simplify. 3/4−4x+1/2x−1/2+1/2x Enter your answer in the box. Do not use decimals in your answer

Answers

Answer:

-3x+1/4

Step-by-step explanation:

hope this helps!

Answer:

-3x+1/4

Step-by-step explanation:

i got it right on k12

what is 24=78^2 what is it

Answers

Answer:

24  =  6084

Step-by-step explanation:

24 is already simpflied. So 78 times 78 is left.

Which is easy and equals to 6084.

Rochelle is applying for two jobs at a restaurant. As a hostess, she would be paid $530
weekly. As a
server, she would be paid $310 weekly, plus tips.
Which inequality can be solved to findt , the weekly tips Rochelle has to earn in order for
the server job to
pay more than the hostess job?

Answers

Answer:

530+310+x=<310+x

Step-by-step explanation:

you need to find out x by doing 530+310 then divide 530+310 by 10

Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card

Answers

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

---------------------

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Please help me
Find the value of x.​

Answers

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Find the m D
55
35
В

Answers

Not answere just need point srry
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