What factoring pattern can you use to solve x^2+14x+49=0

A (ax+√c)^2=0

B (√a*x+√c)^2=0

C (√a*x+c)(√a*x-c)=0

D (ax+√c)(ax-√c)=c

Answers

Answer 1

Answer:

  B  (√a*x+√c)^2=0

Step-by-step explanation:

It can be helpful to look a the expanded form of each of these factoring patterns.

  A (ax+√c)^2=0   ⇒   a^2x^2 +2a√c*x +c = 0

  B (√a*x+√c)^2=0   ⇒   ax^2 +2√(ac)*x +c = 0

  C (√a*x+c)(√a*x-c)=0   ⇒   ax^2 -c^2 = 0

  D (ax+√c)(ax-√c)=c   ⇒   a^2x^2 -c = c

If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.

Choice B is the only sensible one, and fits the given equation.

  a = 1, c = 49   ⇒   √a = 1, √c = 7

  x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B


Related Questions


Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?

Answers

Answer:

Taylor walked 35 minutes

Step-by-step explanation:

4:25

+:35

=5:00.

once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00

ANSWER FAST PLZ I REALLY NEED HELP :(


Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?

Answers

Answer:

  4 mph

Step-by-step explanation:

The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...

   time = distance/speed

  2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times

  9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)

  144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify

  16 = c^2 . . . . . . . . . add c^2 -128

  c = 4 . . . . . . . . . positive square root

The current was 4 mph that day.

URGENT
Evaluate the expression below for the given value

X^2+ 2x for x = -3

Answers

Answer:

-3×2+2×-3

-6+-6

-12

I think^=×

Answer:  3

Step-by-step explanation:

X^2+ 2x for x = -3

(-3)^2+ 2(-3)

(-3)(-3) -6

+9 -6

3

if f(x)=2x^2-1, then f(-3)=

Answers

Answer:

f(-3) =17

Step-by-step explanation:

f(x)=2x^2-1

Let x = -3

f(-3)=2(-3)^2-1

     = 2(9) -1

     = 18-1

     17

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.

Answers

Answer:

Step-by-step explanation:

R

The number of calories in 14 brownies is 233 calories.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

Hence, The number of calories in 14 brownies is 233 calories.

learn more on multiplication click:

brainly.com/question/15420908

#SPJ2

Help me please please

Answers

Answer:

a.11

b.20

c.44

d.5

e.60

f.12

g.4

h.40

i.900

j.6

Step-by-step explanation:

hope this helps

16 liters to fraction

Answers

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

16 liters = 4.22675 gallons

4.2 gallons = 4 1/5 gallons

1000 L= 1 KL

16 L = 0.016 KL

(Divide 16 by 1000 to convert.)

Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?

Answers

Answer:

.2 kilometers

Step-by-step explanation:

Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers

Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?

Answers

Answer: The final balance is $982.47.

The total compound interest is $232.47.

Step-by-step explanation:

Solve four ninths minus four tenths equals blank.

Answers

Answer:

2/45

Step-by-step explanation:

Solve (u+2)^2+6=69 , where u is a real number.

Answers

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x

Answers

Answer:

y=-6/5x

Step-by-step explanation:

Help rn have to get this done send answers

Answers

Answer:

D) 3 units

Step-by-step explanation:

Hope this helps! Pls give brainliest!

25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.

Answers

Answer:

The Diagram is not showing

Step-by-step explanation:

Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4

Answers

Answer:

C. -4 > -7

Step-by-step explanation:

answer= option C

B. I think but i’m not sure

To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?

Answers

The probability that Renae writes a letter if she takes the #55 bus is 1/12

The buses are given as:

Buses: #41, #28, #55, #81

There are 4 buses of equal probabilities.

So, the probability that she takes the #55 is:

[tex]P(55)= \frac 14[/tex]

The activities are given as:

Activities: listening to her music player, writing a letter, or reading a book

There are 3 activities of equal probabilities.

So, the probability that she writes a letter is:

[tex]P(Letter)= \frac 13[/tex]

The probability that she does both independent events is:

[tex]Pr = P(55) \times P(Letter)[/tex]

So, we have:

[tex]Pr = \frac 14 \times \frac 13[/tex]

[tex]Pr = \frac 1{12}[/tex]

Hence, the probability is 1/12

Read more about probabilities at:

https://brainly.com/question/251701

3(2/3p+3-1/3p-5) What is the simplified version of this equation.

Answers

Answer: p+1

Step-by-step explanation:

3(2/3p+3-1/3p)

=3(1/3p+3)

=p+1

Plzzzzz help meeeee plzzzz I really d answa

Answers

Answer:

c. is correct answer I think

Hehhhhhhhhhhhhhheh eh

Answers

So smart✅ like the humor tho

Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.

Answers

28 / 35 first divide

= 0.8

Then multiply the decimal with 100

0.8 x 100

= 80

There fore the answer is 80%

Hope this helps!
Brainliest is much appreciated!

Answer:

I think it;s 9.8

Step-by-step explanation:

You divide 35 and 28 i think


This expression is scientific notation for what number?
8. 10-6

Answers

Answer:

20-45 answer should be d good luck sorrybif im wrong

find the value of 777^2 - 223^2​

Answers

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440

Determine whether each equation represents a proportional relationship.

Y=2.5x

y= x - 4

Answers

Answer:

y=2.5x - Proportional  

y= x - 4 - Not Proportional  

Step-by-step explanation:

A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.

The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.

However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.

Hope this helps.

which graph appears to show a proportional relationship between x and y ​

Answers

Answer:

What graph?

Step-by-step explanation:

No wonder why you have been waiting 25+ mins to get an answer

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answers

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -1, y= 0,

[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]

[tex]0 = \frac{1}{2} + c[/tex]

[tex]c = - \frac{1}{2} [/tex]

Thus, the equation of the line is y= -½x -½.

5-m=1.37 PLEASE HELP

Answers

Answer:

m = 3.63

Step-by-step explanation:

5-m =1.37

5-m-5 = 1.37-5

-m=-3.63

-m/-1=-3.63/-1

m= 3.63

Answer:

x = 3.63

Step-by-step explanation:

use elimination;

5 - m = 3.63

+5 +5

5 - 5 + 5 = 5

3.63 - 5 + 5 = 3.63

check answer:

5 - 3.63 = 1.37

therefore; x = 3.63

hope this helps!

in a school there are 542 girls and boys. how many pupils are there in that school?

Answers

Answer:

There are 1084 pupils in that school.

Step-by-step explanation:

If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.

Hope this helps!

Answer:

1084

Step-by-step explanation:

542+542


1. Name a midsegment in the triangle.

Answers

Answer:

EF

Step-by-step explanation:

Hope this helps!

Mr.Keaton planted 918 cornstalks there are 9 cornstalks in each row how many rows of corn did he plant

Answers

918 / 9 = 102 rows.

Answer:

I think 102 rows of corn

Step-by-step explanation:

918 ÷ 9 = 102

Jaiden weighs 120 pounds and is gaining ten pounds each month. Elijah weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Jaiden to weigh the same as Elijah?​

Answers

Answer

It will take 5 months for Jaiden and Elijah to have the same weight

Step-by-step explanation:

120 + 10m = 150 + 4m

6m = 30

m = 5

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