Factor the following trinomials. Show your work. Will mark as Brainliest if the answers are correct and have work shown.
1. -2x^2 - 10x + 100
2. 3x^3 + 9x^2 - 54x
3. x^2 +12x + 20

Answers

Answer 1

1st Question:

Our problem is [tex]-2x^2 - 10x + 100[/tex]

We have a common factor between the three terms, -2. So:

[tex]-2x^2 - 10x + 100[/tex]

[tex]-2(x^2 + 5x -50)[/tex]

We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:

[tex]-2(x^2 + 5x -50)[/tex]

[tex]-2(x +10)(x-5)[/tex]

2nd Question:

The problem is [tex]3x^3 + 9x^2 - 54x[/tex]

Like the first question, we can factor out a constant. In this case, we factor out a 3.

[tex]3x^3 + 9x^2 - 54x[/tex]

[tex]3(x^3 + 3x^2 - 18x)[/tex]

We can also factor out an x.

[tex]3(x^3 + 3x^2 - 18x)[/tex]

[tex]3x(x^2 + 3x - 18)[/tex]

We need to simply further. We can factor the quadratic into (x+6)(x-3).

[tex]3x(x^2 + 3x - 18)[/tex]

[tex]3x(x+6)(x-3)[/tex]

3rd Question:

Our problem is [tex]x^2 +12x + 20[/tex]

We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:

[tex]x^2 +12x + 20[/tex]

[tex](x+2)(x+10)[/tex]


Related Questions

whats 34* 12 i have no idea I'm only 9

Answers

[tex]34 \times 12 = 408[/tex]

Multiply 1 & 2 from 3 and 4 respectively and add to get product.

- BRAINLIEST answerer

Answer:

[tex]408[/tex]

Step-by-step explanation:

Hey there,

[tex]34 \\ \times 12 \\ ................. \\ \: \: \: \: \: \: \: 6 8 \\ + 34 0 \\ ............. ... \\ = 40 8[/tex]

Hope this helps you.

Let me know if you have any other questions:-):-)

Please help me with this math problem!! :)

Answers

Answer: so what grade math is this

Step-by-step explanation:

Can anyone answer this?

Answers

Answer:

you have it all right so now submit

Answer:

You have to know the key im assuring x= y divided by 8

Step-by-step explanation:

PLEASE HELP IMMEDIETLY RN
CAN A RECTANGULAR PRISM HAVE A CROSS SECTION OF A TRIANGLE?

PLEASE HELP I BEG THIS INSTANT TO GET ME A ANSWERRRRRR PLZZZZ

Answers

Answer:

Step-by-step explanation:

In a rectangular prism, the cross-section is always a rectangle.

In a triangular prism, each cross-section parallel to the triangular base is a triangle congruent to the base.

Enter a formular using k to connect the two variables
T is proportional to c

Answers

Answer:

c ^ 2 * r ^ 2

Step-by-step explanation:

T is proportional to c * k * s^2

T is proportional to c * (k / r^2) * s^2

T is proportional to k * c ^ 2 * s ^ 2

T is proportional to infinity

The correct formula would be T is proportional to c ^ 2 * r ^ 2. This indicates that the temperature of the object is directly proportional to the inverse square of the distance from the center of the sun. This is because energy received decreases as the inverse square of the distance.

1/4 converted into a mixed number

Answers

Step-by-step explanation:

1/4 cant be converted as mixed no. as it is a proper fraction.

1/4=0.25

If vector u has its intial point at (-17,4) and it’s terminal point at (8,-11) u=

Answers

Answer:

[tex] - \frac{5}{3} [/tex]

Answer:

u = < 25, - 15 >

Step-by-step explanation:

To find u subtract the coordinates of the terminal point from the coordinates of the initial point.

u = < 8 - (- 17) , - 11 - 4 > = < 8 + 17, - 15 > = < 25, - 15 >

The sum of two numbers is twice their difference. The larger number is 5 more than twice the smaller. Find the numbers.

Answers

Answer:

18 and 6

Step-by-step explanation:

The sum of two numbers is twice their difference: 18 + 6 = 24, 18 - 6 = 12. 24 is twice of 12.

The larger number is 5 more than twice the smaller. Twice of 6 is 12. 5 more than 12 is 18.

Use matrices to write the equation of the function in the form y = mx + b that contains the points
(6.-29) and (-4,31). Record your values for slope, m, and y-intercept, b, below. Note: Your
answers should be integers.

Answers

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7[/tex]

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: https://brainly.com/question/13911928

Find the maximum value of the given objective function:

P = 10x + 4y​

Answers

Answer:

Step-by-step explanation:

0.34 divided by 11.4

Answers

Answer:

0.03

Step-by-step explanation:

hope this helpsss :D

Answer:

.0298245614

Step-by-step explanation:

"One half the quantity of seven less than triple a number"
a

Answers

Answer: 26 = 3n - 7

Step-by-step explanation: hope this helped hunny boos!✨

Larry has opened up a bank account at his local community bank. After 5 months. Larry has $1,275 in his account. After 11 months, Larry has

Answers

The answer is 2804$..

PLEASE GUYS I NEED THIS FOR THE END OF THIS PERIOD AT 1 HELP!!!

Answers

Answer:which question do you need help on? :) I’d love to help

Answer:

Step-by-step explanation:

[tex]15) f(x) = 10-\dfrac{9}{2}x\\10-\dfrac{9}{2}x = -53\\\\-\dfrac{9}{2}x=-53-10\\\\\dfrac{-9}{2}x= - 63\\\\x = -63*\dfrac{2}{-9}\\\\x = 7*2\\\\x = 14[/tex]

[tex]17) \dfrac{1}{8}y = \dfrac{-3}{4}x - 1\\\\Multiply \ the \ entire \ equation \ by \ 8\\\\8*\dfrac{1}{8}y=8*\dfrac{-3}{4}x-1*8\\\\\\y = 2*(-3)x-8\\\\y = -6x - 8\\\\6x + y = -8\\[/tex]

[tex]18) 5y = 35 + 10x\\\\\dfrac{5y}{5}=\dfrac{35}{5}+\dfrac{10x}{5}\\\\y = 7+2x\\\\-2x + y = 7\\\\[/tex]

[tex]19)x -4y = 28\\\\ -4y = -x + 28\\\\\dfrac{-4y}{-4}=\dfrac{-x}{-4}+\dfrac{28}{-4}\\\\\\y = \dfrac{1}{4}x-7[/tex]

x = 0 ; y = 0 - 7 = -7          (0 .-7)

[tex]x = 4 ; y = \dfrac{1}{4}*4-7 = 1 - 7 = -6 ; (4 , -6)\\\\\\x = -4 ; y = \dfrac{1}{4}*(-4) - 7 = -1 - 7 = -8 ; (-4,-8)[/tex]

Plot the points (0,-7)  , (4,-6) and (-4 , -8) in the graph and join the points

What does f(5)=7 mean?

Answers

Step-by-step explanation:

Normally we write equation of functions like this: f(x) = x - 5

When we say f(5) = 7, we are implying that the x is 5.

The equation could look something like this: f(x) = x + 2

In this case, if you put x as 5, you will get 7 or 5 + 2

Means that 5 times of f equals to 7

Therefore f(5)-7=0Also f= 1.4

50 points and brainliest to first correct answer! :)
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:

Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Which statement best describes a flaw in the student's proof?

Question 11 options:

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.


Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.


Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.


Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Answers

Answer/Step-by-step explanation:

"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True

"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD."  True

Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..

This means that:

Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.

Answer: Triangles ABD and CDB are congruent by the SAS postulate.

ANSWER THIS FAST PLEASE !!!

Answers

THE ANSWER IS -3! THE Y-INTERCEPT

Answer:

The slope is A. 4

Step-by-step explanation:

Starting at the y-intercept of -3, you would rise 4 and run 1.

Hope this helps:)

how many sides does a regular polygon have if each interior angle measures 172^{\circ} ∘ ?

Answers

Answer:

45

Step-by-step explanation:

each exterior angle=180-172=8

number of sides=360÷8=45

PLEASE HELP I DONT UNDERSTAND <3
Graph two more functions in the same family for which the parameter being changed is the slope m and is greater than 1.

Answers

Step-by-step explanation:

negative 1 because thats were the line crosses the x axis and 4 because its close to the slope

4. 18 is 80% of what?
A. 20
B. 22.5
C. 14.4
D. 9

Answers

Answer:

B) 22.5

80% = 0.8

18÷22.5=0.8

Answer:

B. 22.5

Step-by-step explanation:

( 18/80) × 100

= 22.5

Pleaseeee Someone im tired I want to sleep

Answers

12/21, just multiply across and you’re done :)

y = (x - 5)(x + 1)

What is the vertex of the parabola ?

Answers

Answer:

(2,-9)

Step-by-step explanation:

Multiply out the polynomial to get:

x^2-4x-5

the vertex formula is -b/2a (use the coefficients of the equation above)

-(-4)/2(1) = 4/2 = 2

we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.

(2-5)(2+1)

(-3)(3) = -9

so the coordinate is (2,-9)

What is the fifteenth term in the sequence 12, 24, 36, 48, 60…?

Answers

12,24,36,48,60,72,84,96,108,120,132,144,158,170,182

The 15th term in the sequence is 182.

HELPPPP ITS MATHHHHHH nvekwnvewl veryyyyyy easy!!

Answers

Answer:

5 1/2

Step-by-step explanation:

PLEASE I NEED HELP INSTANTLY
I WILL GIVE BRAINLY AND THANKS

Answers

Answer:

so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)

(7-(-2))/(0-8)

simplify

9/-8

simplify -9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.  

y=mx+b

-2=(-9/8)(8)+b

multiply (-9/8) by 8 to get -9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y=-(9/8)x+7

Step-by-step explanation:

Answer:

y=-(9/8)x+7

Step-by-step explanation:

can someone pls help me with the area (b) ​

Answers

Answer:

it is 64 m long is making me type 20 letters

El perímetro de una habitación rectangular mide 90 m. El largo es igual al doble del ancho. ¿Es posible que la
habitación tenga 30 m de ancho y 60 m de largo? En la tabla y representa el ancho y x representa el largo.

Answers

Answer:

No, no es

Step-by-step explanation:

find the value of B.

Answers

Answer:

b = 4

Step-by-step explanation:

SP = RQ (rectangle property)

2b = b + 4 (substitution)

b = 4 (subtraction)

what does 12x3= 10 points

Answers

Answer:

36

Step-by-step explanation:

12+12+12

Another Explanation:

Lets say you Have 12 cookies and your mom buys you 12 more then next day Your dad Buys You 12 more! You havent Ate any But, You wanted to Know how much You Have in Count.

So you Add 12+12+12

Which equals to 36 Cookies!

Thats a lot of cookies Haha!

Which rule explains why these scalene triangles are similar?

A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar

Answers

Answer:

D. None of the above; the triangles cannot be proven similar

Step-by-step explanation:

There are no signs that shows the triangles are similar or congruent for given information. So the answer is last option :

D. None of the above; the triangles cannot be proven similar

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