factor the trinomial x²-11x+30?​

Answers

Answer 1

Answer:

(x-5)(x-6)

Step-by-step explanation:

when we look at something like this we have a, b, and c

a=1 (in front of x)

b=-11

c=30

our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11

so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11

but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)

so we then write it as (x-6)(x-5)

and if you FOIL that out you will end up getting the original equation :)

hope this helps!


Related Questions

Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?

Answers

Answer:

$1,700

Step-by-step explanation:

Multiply the rate that money is being taken out at by the amount taken out at

12 x 150

What is the End behavior on the right side?

Answers

Answer: Choice A) [tex]x \to \infty, \ \ y \to \infty[/tex]

As x gets larger in the positive direction, so does y.

Both x and y are going to infinity.

This is another way of saying "rises to the right".

The ratio of girls to boys in Mr. Neal's class is 15:19 what percent of the students are girls?

Answers

Answer:

15/34

Step-by-step explanation:

add 15+19=34

then make it a fraction

6. (01.01 MC)
Why is 1 + (-5) equal to -4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
O
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line

Answers

Step-by-step explanation:

Because it is 5 units to the left of 1 on a horizontal number line

Can someone help me please!!!!!

Answers

Answer:-4

Step-by-step explanation:

Answer:

forgive me if I'm wrong, but I believe that a is -2.25. someone, please comment if I'm incorrect.

Step-by-step explanation:

I subtracted 3.25a from both sides and got

0.75a+5=2

then I subtracted both sides from 5 and got

0.75a=-3

divided both sides by 0.75

and I got a= -2.25

Solve x^2 - 16x = -12 by completing the steps.
First, subtract ____ from each side of the equation.

Answers

Answer:

You would subtract -12 from both sides!

Explanation:

The eqaution will become like this:

[tex]x^{2}[/tex] - 16x + 12 = 0

Then you would solve it with the Quadratic Equation formula.

Answer:

First, subtract 60 from each side of the equation.

Next, add 64 to each side of the equation to complete the square.

Now, write x² - 16x + 64 = -8 as (x-8)^2=-8

Take the square root of both sides to get the solutions.

8+-2=[tex]\sqrt{2i}[/tex]

Step-by-step explanation:

Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.

Answers

Answer:

02.

Step-by-step Explanation

[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]

Answer: 0.2

Step-by-step explanation:

We have to find [tex]log \frac{3}{2}[/tex].

We are given log 12 and log 8, the farthest.

Subtract to find the number you have to multiply by.

3 x 4 = 12 and 2 x 4 = 8.

Our next fraction will be [tex]log \frac{12}{8}[/tex]

Now, subtract log 12 (1.1) by log 8 (0.9)

1.1 - 0.9 = 0.2

So, the answer to the question is 0.2

Help me please.......

Answers

Answer:

90 . this can be easily answered as all the angle of points are given in question

Step-by-step explanation:

90 degree angle

Solve v +8 < 3 or -80 <-40.

Answers

Answer: v < -5 or v < 40

Explanation:

v + 8 < 3
v < 3 - 8
v < -5
OR:
v - 80 < -40
v < -40 + 80
v < 40

find the slope of the line through each pair of points
(-3,9), (0,3)

Answers

Answer:

-2

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 3-9)/(0- -3)

   = (3-9)/(0+3)

  = -6/3

  = -2

Help me ASAP plz !????

Answers

Answer:

a. 50

Step-by-step explanation:

130 and angle 6 have to add up to 180 which means you subtract 130 from 180 which gives you 50

50°, since the lines are parallel you can assume that angle 6 and angle 7 are identical in degree, knowing that the angle next to 7 is 130 you subtract 130 from 180 to find 50

What is 10 times greater than 2000

Answers

Answer:

20,000

Step-by-step explanation:

Let's take it step-by-step

10 times greater than 2,000

10 x 2 = 20, 10 x 20 = 200, 10 x 200 = 2,000, 10 x 2,000 = 20,000

just remember to add a zero after each number so, if you have 10 x 20, just take the 2 and but a zero, 20, 10 x 20 = 200, Etc.

If you need more help let me know :)

Ten times greater than 2000 is 2000.

How to find out how many times greater or less given quantities are relative to each other ?

To find how much greater one quantity is to other just divide other quantity by one quantity.If how many times is given and have to find greater just multiply the given quantity by the given times.

In the given question 10 times greater than 2000 is 2000 multiplied by 10   = 20000

To reverse check divide 20000 by 2000 and the result should match the previous result you have obtained.

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If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which one has the greatest rate of change

Answers

Answer:

you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:

3   4

2   6

You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1

All of these would give you the rate of change as the slope is the rate of change.

Step-by-step explanation:

a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold

Answers

50 $6 TICKETS WERE SOLD
25 $4 TICKETS WERE SOLD

hope this helped :)


D(-3,4) E(7, 6) 1:3

Answers

Answer:d

Step-by-step explanation:

help please ill give u brainiest if it's correct

Answers

Answer:

Supplementary

Step-by-step explanation:

Suppose Thomas owns 30 movies. If the ratio of old movies to new movies is 4:1, how many new movies does Thomas have?
Select 1 answer

A- 1 new movie

B- 5 new movies

C- 24 new movies

D- 6 new movies


Please Hurry!

Answers

6 i’m pretty sure but i hope this helps

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)

Answers

Answer:

B. (3, -1)

Step-by-step explanation: I got a 100 on the test

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

F(1, -3) → F'(3, -1)

The answer would be option B (3, –1).

What is Parallelogram?

A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

Coordinates of the vertices of a parallelogram are,

E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)

Equation of a line about which this parallelogram was reflected is, y = -x

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)

By this rule new point by reflecting point F will be,

F(1, -3) → F'(3, -1)

Therefore, Option (B) will be the answer.

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Translate sentence into an equation.


Thirteen is 7 more than one-fifth of a number​

Answers

Answer:

[tex]13=7+\frac{1}{5}x[/tex]

Step-by-step explanation:

The answer would be 30

HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!


Paula leaves home driving 40 miles per hour. One hour
later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula?

Answers

Since Paula left home an hour ago driving at 40mph, it means she has already gone 40 miles by the time Dan left. Dan is driving at 50mph, which is 10 greater than 40. This means that every hour, Dan will drive 10 more miles than Paula, lessening their difference by 10. 40 divided by 10 is 4, so iit will take Dan 4 hours to catch up to Paula:)

Simplify 2x^7 times x^-4

Answers

Answer:

The answer is B

2x to the power of 3

Step-by-step explanation:

2x to the power of 7 minus 4 equals

2x to the power of 3

Is the equation true or false when x = 4? (3−x28)⋅12=3x(3−x28)⋅12=3x true false

Answers

Answer:

It’s true

Step-by-step explanation:

Twice the sum of a number and 3.

Answers

What are we supposed to do....

Thus, the required number is 27.

Question seems to be incomplete. Here, Question could be -

"Twice the sum of a number and 3 is equal to three times the difference of the number and 9 find the number."

What is algebraic expression?

Algebraic expression consists of constant and variable. eg x, y, z etc.

Let the number be 'x'.
Now, applying condition
2(x+3) = 3(x-9)

2x+6 = 3x - 27
x = 21

Thus the required number is 21.

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Solve this proportion c-1/c+2=4/7

Answers

Answer:

c = 5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]

Step 2: Solve for c

Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]

Step 3: Check

Plug in c to verify it's a solution.

[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]

[tex]\frac{4}{7} =\frac{4}{7}[/tex]

SOMEBODY HELP!

MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK


Label each of the parts: terms, like terms, coefficients, and constant
terms.

9 + 7y - 2 - 5y

Answers

Answer:

= 7 + 2y.

Step-by-step explanation:

Collect like terms.

(9 − 2 ) + (7y − 5y )

Simplify.

= 7 + 2y.

Hope this helps.

Have a good night ma'am/sir.

Be safe!

Solve for x.
X^2 – 2x +1=0
x=

Answers

Im a little confused on your question just because of the way the question if formatted

ONE EASY FRESHMEN MATH QUESTION!!

Answers

So.. . . . . . √5=2.23607
1.05<√5<3.05

Sam's Furniture Store places the following advertisement in the local newspaper.
Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233

Answers

Answer:

$500

Step-by-step explanation:

GivenSofa = sLove seat = lChair = cSofa and love seat cost = $1300Sofa and 2 chairs cost = $1400Sofa, love seat and one chair cost = $1600To findLove seat = ?Solution

Equations as per given are:

s + l = 1300s + 2c = 1400s + l + c = 1600

Subtract equation 1 from equation 3:

s + l + c - s - l = 1600 - 1300c = 300

Considering this in the equation 2:

s + 2*300 = 1400s = 1400 - 600s = 800

Substituting s in the equation 1:

800 + l = 1300l = 1300 - 800l = 500

Answer: Love seat costs $500

Are these expressions equivalent? Explain why or why not 42+35 7(6+5)

Answers

Answer:

yes, they are equivalent

Step-by-step explanation:

solving each expression fully, you will find that both are equal to 77

Answer:

They are equivalent.

Step-by-step explanation:

7⋅11⋅13+13and7⋅6⋅5⋅4⋅3⋅2⋅1+5 are composite numbers.

What is the scale factor of AABC to ADEF?
A. 6
B. 1/6
C. 2
D. 1/2

Answers

Answer:

1/6

Step-by-step explanation:

Side AB * scale factor = Side DE

72* scale factor = 12

Divide each side by 72

scale factor = 12/72

scale factor = 1/6

Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Dilation is a transformation, which is used to resize the object

The size by which the shape is enlarged or reduced is called as its scale factor.

DEF is dilated graph of ABC

Let us take any side of ABC and its corresponding side to find the scale factor

Side AB × scale factor = Side DE

72×scale factor = 12

Divide each side by 72

scale factor = 12/72

scale factor = 1/6

Hence, 1/6 is the scale factor of triangle ABC to triangle DEF

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