f(x)= x^2 - 7x +12


The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)


r1 represents first root, r2 represetnts second root


What are the roots?
Remember, x-r1 = 0 and x-r2=0

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

−

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

√

(

−

6

)

2

−

4

⋅

(

2

⋅

5

)

2

⋅

2

6

±

(

-

6

)

2

-

4

⋅

(

2

⋅

5

)

2

⋅

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

−

6

-

6

to the power of

2

2

.

x

=

6

±

√

36

−

4

⋅

2

⋅

5

2

⋅

2

x

=

6

±

36

-

4

⋅

2

⋅

5

2

⋅

2

Multiply

−

4

-

4

by

2

2

.

x

=

6

±

√

36

−

8

⋅

5

2

⋅

2

x

=

6

±

36

-

8

⋅

5

2

⋅

2

Multiply

−

8

-

8

by

5

5

.

x

=

6

±

√

36

−

40

2

⋅

2

x

=

6

±

36

-

40

2

⋅

2

Subtract

40

40

from

36

36

.

x

=

6

±

√

−

4

2

⋅

2

x

=

6

±

-

4

2

⋅

2

Rewrite

−

4

-

4

as

−

1

(

4

)

-

1

(

4

)

.

x

=

6

±

√

−

1

⋅

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

(

4

)

-

1

(

4

)

as

√

−

1

⋅

√

4

-

1

⋅

4

.

x

=

6

±

√

−

1

⋅

√

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

-

1

as

i

i

.

x

=

6

±

i

⋅

√

4

2

⋅

2

x

=

6

±

i

⋅

4

2

⋅

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

⋅

√

2

2

2

⋅

2

x

=

6

±

i

⋅

2

2

2

⋅

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

⋅

2

2

⋅

2

x

=

6

±

i

⋅

2

2

⋅

2

Move

2

2

to the left of

i

i

.

x

=

6

±

2

i

2

⋅

2

x

=

6

±

2

i

2

⋅

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

−

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

Answer:

4 packages

Step-by-step explanation:

Hi,

1.25x + 6.50 = 11.50

1.25x = 5

x = 4

He bought 4 packages.

I hope this helps :)

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

Answer:

what? pls translate it to english

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

Can you follow me on Brainly?

Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

Answer:

Q.1 area of triangle =1/2×base×height

area oftriangle=1/2×21 feet×16 feet

area of triangle =168feet²

Q.2 A=1/2×base×height

Q.3 area of triangle =1/2× base×height

35feet² =1/2×10feet× h

35 feet² =5 feet×h

35feet²/5 feet = h

7feet = h

Q.4 area of triangle =1/2×base×height

area of triangle =1/2×32×22

area of triangle =352 feet²

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

Answer:

12

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Answer:

immagrants would start to make houses out of stone sticks and hay

Step-by-step explanation:

pls mark brainlyest

Answer:

They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day

Step-by-step explanation:

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

Answer:

40

Step-by-step explanation:

All you have to do is subtract the biggest number from the smallest in order to get your answer.

45 - 5 = 40. Hence, the answer is 40

Hope this helps! :)

The number of students in the class should be considered as the 40.

= Largest commute time - smallest commute time

= 45 - 5

= 40

Here we basically deduct the  smallest commute time from the largest commute time so that the no of student in the class should come.

Learn more about class here:  https://brainly.com/question/17217914

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.