X(squared) + 16x +60=0
Solving quadric equations by factorising

Answers

Answer 1

Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

Answer 2
We have x^2 + 16x + 60 = 0
<=> x^2 + 6x + 10x + 60 = 0
<=> x(x+6) + 10(x+6) = 0
<=> (x+10)(x+6) = 0
<=> x+10=0 or x+6=0
<=> x= -10 or x= -6

Ok done. Thank to me:>

Related Questions

14.61 divided by 25 and i just need to now this as soon as you can

Answers

Answer:

0.5844

Step-by-step explanation:

Answer:

0.5844 just use a calculator

Determine the zeros for x2 + 7x − 20 = 6x.

Answers

Answer:

= 4

or

= −5

Step-by-step explanation:

Answer:

[tex]x=-5[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

[tex]x^2+7x-20=6x[/tex]

[tex]x^2+7x-20-6x=6x-6x[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x=-5[/tex] and [tex]x=4[/tex]

A computer can download 250 megabyte (MB) of a movie file in 25 seconds thenHow long does the computer take to download the whole file of size 1.8 GB? ​

Answers

1.8 * 1000=1800/250*25=180

thats the answer 180seconds

HELP ASAPPPPPPPPPPPPP

Answers

The answer is A, but it’s hard to explain why. The answer lies in the orientation of the letters and the kinds of lines.

Answer:

Answer: A

Step-by-step explanation:

(go to attachment to see explanation)

hope this helped :D

a break on the earth crust that is a result of movement or shaking refers to​

Answers

Answer:

A fault

Step-by-step explanation:

A fault is a crack in the Earth's crust that allows chunks of the crust to move relative to one another along its length.

A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?

Answers

Answer:

-60m/s²

Step-by-step explanation:

The first thing to do is know the equation:

(Final velocity - initial (original) velocity) / time (seconds)

Next you check the units:

10 minutes = 600 seconds

Then you use the equation to solve the problem:

(4000 - 40000) = -36000

-36000 / 600 = -60

Units for acceleration = m/s²

Answer = -60m/s²

The value is negative because the satellite's velocity has decreased

Hope this helps.

Please help asap! Thank youu

Answers

if it's likely but not certain i would think it's c and if it's wrong i'm very sorry

Solve it ( i'll select u as brainlist )

Answers

Answer:

x=5/6 y=8/5

Step-by-step explanation:

times the second one w 2

equals to -12x+10y=-6

then add this to the above one together,you can eliminate the x, then solve an equation w only y.

after you get y, get it into whatever the above one or below one,you will get the x as well

Answer:

x = 5/6

y = 1 and 3/5

Step-by-step explanation:

12x + 15y = 34

-6x + 5y = 3

12x + 15y = 34

3(-6x + 5y = 3)

12x + 15y = 34

-18x + 15y = 9

30x = 25

30x/30 = 25/30

x = 5/6

-6x + 5y = 3

-6(5/6) + 5y = 3

-5 + 5y = 3

+5          +5

5y = 8

5y/5 = 8/5

y = 1 3/5

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?

Answers

Answer:

True

Step-by-step explanation:

STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE

Answers

We as we see this question is quite simple

first we find the vocabulary which is in simple text slang and convert it formally to english...

Next we find that this question makes no sense so g'day

The question is very simple.
First look at the equipment

2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I

Answers

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

help, I have a math question

Answers

Ok what’s the question

Write an equation for the line gragh

Answers

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?

Answers

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

I’m downloading a 50 gigabyte game at a rate of 5.5 megabytes per second. How many hours would it take to finish installing.

Answers

Answer:

It will take 20.2 Hours to finish By the way? What game are you playing???

Answer:

  2.6 hours to download; installation time is unknown

Step-by-step explanation:

We assume there are 1024 MB in 1 GB, so the time required is ...

  time = quantity/rate

  time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s

There are 3600 seconds in 1 hour, so this is ...

  9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download

__

This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.

You are taking a taxi from the airport to your hotel. The taxi charges a base fee of $5.25 and then $1.25 per mile. Your fare was $75. How many miles did you travel?

Answers

Answer:

54.75 is the answer I got

Step-by-step explanation:

first I calculated 75÷1.25 then subtracted the fare which is 5.25

Find the distance between​

Answers

Answer:

minus 15 by 4

Step-by-step explanation:

minus 9 by 4 minus 3 by 2 lcm then add

Help Me Within 7 Minutes for brainliest. I already have a sorta guess But I'm not positive, A little help here? I want to confirm my answers and it seems no one else ever posted this question out.

Answers

y=3x+5

m=3

Parallel lines has equal slope .

So equation of parallel line also have slope 3

Take the 2nd option

[tex]\\ \sf\longmapsto 6x+2y=12[/tex]

Cut 3

[tex]\\ \sf\longmapsto 3x+y=4[/tex]

[tex]\\ \sf\longmapsto y=-3x+4[/tex]

Note the answer

Take 3rd option

[tex]\\ \sf\longmapsto -3x+y=8[/tex]

[tex]\\ \sf\longmapsto y=3x+8[/tex]

Take the 1st option

[tex]\\ \sf\longmapsto 3y=9x[/tex]

[tex]\\ \sf\longmapsto y=3x[/tex]

Option C and A is correct

Answer:

C and A

Step-by-step explanation:

Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.

a. 3y = 9x

y = 3x

---

b. 6x + 2y = 12

2y = -6x + 12

y = -3x + 6

---

c. -3x + y = 8

y = 3x + 8

---

d. y = -1/3 x

Thank you to anyone who can help!!

Answers

Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

What is the value for y?
Enter your answer in the box.
y=

Answers

Answer:

28

Step-by-step explanation:

Answer:

y = 28

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °

we find the value of 4y

180 - 34 - 34 = 112

now we find the value of y

4y = 112°

y = 112 : 4

y = 28

i need help...Which table represents a function?

A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.

A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.

Answers

Answer: Choice A

Explanation:

A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.

Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.

what is the proportional relationship represented by this table?

Answers

what?? what table ???


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

solve for x
(4/9)^√x=(2/3)^39-√x

Answers

Answer:

169

Step-by-step explanation:

(4/9)^√x = (2/3)^39-√x

(2/3)^2√x = (2/3)^39-√x

Comparing the bases ,

2√x = 39-√x

3√x = 39

√x = 13

x = 169

Can you answer the question and explain it to me simply im just in 5th grade and i dont get it

Answers

Answer:

13/20

Step-by-step explanation:

12/20-4/20+5/20=

8/20+5/20=

13/20

Answer:

[tex] \frac{13}{20} [/tex]

Step-by-step explanation:

Before we can do anything with the fractions, we need to find a common denominator.

To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.

So 6/10 has now been simplified to 3/5.

Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.

Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.

Hope it helps :)

I tried to keep it simple for you.

The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.

Answers

137 is the answer to ur problem

How to solve this? If u can ols sho step by step

Answers

for example, the line is y = ax + b (1)

we have the line go through the point ( 0 ; 3 ) so y = 3 (2)

we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)

And look at the picture we also have b= 3 (4)

Put (2)(3)(4) in (1) we gonna have  a= -3/5

so the line gonna be y = -3/5x + 3

P/s: if you don't understand,  you can try this:

we have the line go through the point ( 0 ; 3 ) so y = 3

we also have the line go through the point ( 0 ; 5 ) so x = 5

so put it in the answer :

+) -3x -5y = 15

when x = 0 => y = -3 but y = 3 so it's wrong

+) y = -3/5x + 3

when x = 0 => y = 3

when y = 0 => x = 5  it's right :))

+) 3x + 5y = 15

when x = 0

when y = 0 => x = 5 it's right :)) but write improperly :'))

+) y = -3/5 ( x - 5 )

when x = 0 => y = 3

when y = 0 => x = 5 it's right :)) but write improperly :'))

so we choose y = -3/5x + 3

ok  done. Thank to me :>

Similar triangle Scale factor 3:4 and x=16

Answers

Step-by-step explanation:

a factor is something you multiply with.

so,

16 × 3/4 = 12

so, the corresponding side to x in the similar triangle is 12 units long.

what´s the answer to this?

Answers

Step-by-step explanation:

it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.

the first table (top left) increases x constantly by 1.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the second table (top right) increases x constantly by 2.

and y increases constantly by 2.

this is constant also in relation to x.

in technical terms : the slope of the function is the same for every point of the function.

in other words : it is a straight line all the way.

so, it is a linear function.

the third table (bottom left) increases x constantly by 1.

but y increases first by 4 and then by 1 and then again by 1.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the fourth table (bottom right) increases x constantly by 2.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

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