What is the best method to be use in solving quadratic equation x²+16x+63=0?​

Answers

Answer 1

Answer:

Factorization

Step-by-step explanation:

This can be easily factorized into (x+7)(x+9)=0 which can be solved for the two roots x = -7 and x = -9


Related Questions

determine the y- intercept of 3x+2y=9

Answers

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Answer:

[tex]\boxed{(0 , 4.5)}[/tex]

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

some help please
don't pass​

Answers

45

Sally: 9
Will: 9
James:9

Anthony: twice as much as sally (2x9) which is 18

9 + 9 + 9 + 18 = 45

Please help me please

Answers

Answer:

J(-2,8)

Step-by-step explanation:

the image is at( -2,8)
the new x-coordinate is 7-9=-2, and y-coordinate is unchanged.
Pls mark me as the Brainliest as I really need it!

Subtract.
3/4 - 6/12

Answers

Answer:1/4

hope this helps

Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 12, and get 36.

Then we multiply 6 by 4, and get 24.

Next we give both terms new denominators -- 4 × 12 = 48.

So now our fractions look like this:

36/48 − 24/48

Step 2

Since our denominators match, we can subtract the numerators.

36 − 24 = 12

So the answer is:12/48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12/48÷ 2 =6/24

Let's try dividing by 2 again

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

6/24÷ 2 =3/12

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4

Let's try dividing by 3 again

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

3/4−6/12=1/4

Find the quotient: 60 ÷ 30 =

Answers

Answer:

2!!!!!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

do 6/3 easy as pie! (not pi)

Slope worksheet. Please help!!!

Answers

Answer:

1) 1/3

2) -1

3) 5/2

Step-by-step explanation:

rise

_____

run

It’s a mess but you get the point

This graph shows the number of tickets for a new movie sold at a theater
during the first 8 weeks of the movie's release.
The company determined that the equation y = 7,500 - 850x modele
data fairly well. What is the meaning of the slope of the linear model?
Ticket Sales
(A)
the number of tickets sold each week
(B) the weekly change in the number of tickets sold
.
Tickets Sold
8,000
7,000
6,000
5,000
4,000
23,000
2,000
1,000
©
the smallest number of tickets sold in a week
0
the number of tickets sold on the first day the movie was
released
1 2 3 4 5 6 7 8
Week

Answers

Using linear function concepts, it is found that the meaning of the slope is given by:

(B) the weekly change in the number of tickets sold.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

From this, we have that the slope represents a rate of change, hence, option B is correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124


how do you write this in slope intercept form i don’t know

Answers

Answer:   y = [tex]-\frac{2}{1.5}[/tex]x + 15

Step-by-step explanation:

Slope intercept form is written as y = mx + b, where m is the slope and b is the y- intercept.

2.00x + 1.50y = 15

             1.50y = -2.00x + 15

                    y = [tex]\frac{-2}{1.5}[/tex]x + 15  

If the circumference of a circle is 25.12 feet, what is the area of the circle?

Answers

the answer would be 50.21

PLEASE ANSWER BUT TAKE YOUR TIME.

Write an equation for a polynomial with all the following features:


a. The degree is 5.


b. The polynomial has 4 terms.


c. The graph of the polynomial crosses the vertical axis at Y = 12 .


Identify the approximate input values of any relative maximums and minimums of this 5th degree polynomial.

Answers

Answer:

Step-by-step explanation:

(x-1)^5 = x^5 - 5x^4 + 15x^3 - 15x^2 + 5x - 1

That has 6 terms, so let's get rid of the two middle ones.

f(x) = (x-1)^5 - 15x^2(x-1)

Now, f(0) = 1, but we want f(0) = 12

So, let

f(x) = 12((x-1)^5 - 15x^2(x-1)) = 12x^5 - 60x^4 + 60x - 12

As for the graph, it looks like

y = (x+4)(x+2)(x-1)^2(x-6)

The extrema appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial is 5.

The polynomial has 4 terms

So (x-1)⁵ = x⁵ - 5x⁴ + 15x³ - 15x² + 5x - 1

Let's eliminate the two middle terms from it, which has six.

f(x) = (x-1)⁵ - 15x²(x-1)

Given that the graph of the polynomial crosses the vertical axis at Y = 12

So, substitute f(0) = 1, but we determine f(0) = 12

So, let f(x) = 12((x-1)⁵ - 15x²(x-1)) = 12x⁵ - 60x⁴ + 60x - 12

As for the graph, it looks like

So the approximate input values of relative maximums and minimums of this 5th-degree polynomial :

y = (x+4)(x+2)(x-1)²(x-6)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

pls help :) I will do anything ​

Answers

Answer:

D. 5

Step-by-step explanation:

I see you plugged in 2 for x :)

So now you have 1/2 (4) +3

Half of 4 is 2. So 2+3 = 5

PLS HELP I WILL AWARD BRAINLY

If f(x)=1−x² and g(x)=x²−1, then for which of the following values of b does
f(3b)+8=g(3b)−8?

A) 1
B)√8
C) 8
D) √3
E) 0

Answers

Answer:

A

Step-by-step explanation:

We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].

And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.

Notice that we can multiply f(x) by -1. This yields:

[tex]-f(x)=x^2-1[/tex]

Notice that this is the same as g(x). Therefore:

[tex]-f(x)=g(x)[/tex]

If we substitute 3b for x:

[tex]-f(3b)=g(3b)[/tex]

So, we can go back to our equation. We have:

[tex]f(3b)+8=g(3b)-8[/tex]

Substitute -f(3b) for g(3b):

[tex]f(3b)+8=-f(3b)-8[/tex]

Solve. Subtract 8 from both sides and add f(3b) to both sides:

[tex]2f(3b)=-16[/tex]

Divide both sides by 2:

[tex]f(3b)=-8[/tex]

Now, we can use the function of f(x). Substitute 3b into f(x). So:

[tex]1-(3b)^2=-8[/tex]

Subtract 1 from both sides:

[tex]-(3b)^2=-9[/tex]

Divide both sides by -1:

[tex](3b)^2=9[/tex]

Take the square root of both sides:

[tex]3b=\pm 3[/tex]

Divide both sides by 3. So, the value of b can be:

[tex]b=-1, 1[/tex]

Therefore, our answer is A.

And we're done!

Answer:

A.1

Step-by-step explanation:

f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²

g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1

f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8

⇔ 9 - 9b² = 9b² - 9

⇔ 9 + 9 = 9b² + 9b²

⇔ 18 = 18b²

⇔ b² = 1

⇒ b = 1; - 1

A stadium has 45,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,168,200 from each​ sold-out event. How many seats does section​ A hold?

Answers

Answer:

should be 90 seats each section hope that helped

Susie has a bag with 10 hair pins, 6 pencils, 3 snacks, and 4 books. What is the ratio of books to pencils? (This question made my teacher heart sad)
Question 1 options:


A.64



B.46



C.106



D.410

Answers

Answer:

B. 4/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Please help pre Algebra question

Answers

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

express as a single logarithm 3 loga (2x+1) - 2 loga (2x-1) +2

Answers

Answer:

Step-by-step explanation:

[tex]3 \log_{a} (2x+1)=\log_{a}(2x+1)^{3}[/tex]

[tex]2 \log_{a}(2x-1)=\log_{a}(2x-1)^{2}[/tex]

[tex]2=\log_{a}(a^{2})[/tex]

So the expression can be expressed as a single logarithm as follows:

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}(2x+1)^{3}-\log_{a}(2x-1)^{2}+\log_{a}a^{2}[/tex]

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}\left(\frac{(2x+1)^{3}a^{2}}{(2x-1)^{2}}\right)[/tex]

if negative y = 0, what would positive y be?

Answers

Answer:

positive y would be also 0

Step-by-step explanation:

y = 0

How do u work out 65% of 8700

Answers

Step-by-step explanation:

please mark me as brainlest

need more points ??? solve this .....only first part for 50 points .....and follow me also!​

Answers

Answer:

see below

Step-by-step explanation:

i.

= √(3 + 4i)

= 2 + i

ii.

= √(-8 + 6i)

= √2(-4 + 3i)

iii.

= √(-40 - 42i)

= √-2(20 + 21i)

iv.

= √i

= √i

v.

= [tex]\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }[/tex]

= [tex]\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }[/tex]

Answer:

ok iam follow

Step-by-step explanation:

Mark as brainleist answer

9 + 1.25x > 14 + 0.75x

Answers

Answer:

X>10

Step-by-step explanation:

9+1.25x>14+0.75x

Answer:

x>10

Step-by-step explanation:

PLEASE HELPPPPP ASAPPPPP

Answers

Try this and if it doesn't help you I will give you the answer straight to you

The formulas for calculating changes in the money supply are as follows. Firstly, Money Multiplier = 1 / Reserve Ratio. Finally, to calculate the maximum change in the money supply, use the formula Change in Money Supply = Change in Reserves * Money Multiplier.

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (Note: the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.

Answers

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = [tex]\frac{x-\mu}{\sigma}[/tex]

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = [tex]\frac{129-137}{5}[/tex]

z-score = [tex]-1.6[/tex] (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = [tex]\frac{660-600}{30}[/tex]

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

What is 24 times 2 equal to?

Answers

Answer:

The answer is 48 :)

What is the exact definition of the Pythagorean Theorem and who invented it.

Answers

Answer:

Pythagoras invented it

Step-by-step explanation:

a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Pythagorean Theorem is a useful tool that shows how the sum of the areas of intersecting squares can determine the side length of the right triangle.
Pythagoras was introduced to mathematics by Tales of Miletus and his pupil Anaximander

4a + 3a Please solve I will give brainliest to first answer!

Answers

Answer:

7a

Step-by-step explanation:

Will give brainliest to first answer !! What is 2 to the power of 44 multiplied by 84

Answers

2 to the power of 44 multiplied by 84 equals
1477743627730944

PLEASE HELP PLEASE HELP

Answers

Answer:

x = 80

Step-by-step explanation:

the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360

add the angles you're given

105 + 100 + 75 = 280

subtract that number from the total interior angles (360)

360 - 280 = 80

therefore, x = 80

hope this helps! have a lovely day!!

I just need the answer please n thank u<3

Answers

Answer:

C.  [tex]x=-9 \textsf{ and }x=1[/tex]

Step-by-step explanation:

[tex](x+4)^2=25[/tex]

[tex](x+4)(x+4)=25[/tex]

expand the brackets:

[tex]x^2+8x+16=25[/tex]

subtract 25 from both sides:

[tex]x^2+8x-9=0[/tex]

factor:

[tex]x^2+9x-x-9=0[/tex]

[tex]x(x+9)-1(x+9)=0[/tex]

[tex](x-1)(x+9)=0[/tex]

solve for x:

[tex]x-1=0 \implies x=1[/tex]

[tex]x+9=0 \implies x=-9[/tex]

On the number line, which two numbers are a distance.20 away from the number 5

Answers

Answer:

4.8 and 5.2

Step-by-step explanation:

5+.2=5.2   5-.2=4.8

Hopes this helps!

For me i got the awnser -15 and 25

Need to know answer to -5(2x-10)=2(x-8)

Answers

Answer:

Exact Form: x=11/2

Decimal Form: x=5.5

Mixed Number From: x= 1 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:  x = 11/2   or   x = 5.5

Steps:  -5(2x - 10) = 2(x - 8)

Expand: -10x + 50 = 2x - 16

Subtract 50 from both sides: -10x + 50 - 50 = 2x - 16 - 50

Simplify: -10x = 2x - 66

Subtract 2x from both sides: -10x - 2x = 2x - 66 - 2x

Simplify: -12x = -66

Divide both sides by 12:  -12x ÷ 12  =  -66 ÷ 12

Simplify: x = 11/2   or    5.5

Plz mark brainliest:)

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