Solve by factoring

x^2 - 8x - 84 = 0

Show all work

Answers

Answer 1

Answer:

X= -6 & x= 14

Step-by-step explanation:

The factors are -14 and 6, these numbers are multiplied to get -84 and added to get -8.

Therefore the new equation is:

x^2 -14x +6x -84 = 0

factorize: x (x -14) 6 (x - 14)

So: (x+6) (x-14) = 0

x = -6 and 14


Related Questions

can you please help me so you can get extra points

Answers

Answer:

( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 )

if you need any other help , please let me know [ you'll have to pay ]

The number of students enrolled at a school varies from year to year. For the first eight years the school is open, the number of students enrolled is recorded in the table shown.

The equation of the least-squares regression line is
ŷ = 68.5 + 11.4x, where ŷ is the number of students enrolled and x is number of years the school has been open. Which shows the residual plot?

Answers

The residual plot will be the one showing the difference between the students that were expected to enroll and the real number of students who enroll.

What is a residual plot?

A residual plot is one plot that shows the error or the residual.

What would be the data displayed in this case?

In this case, the residual plot will show the difference between the students that were expected to enroll based on the equation given and the real number of students who enroll.

Note: This question is incomplete because the options are not given; due to this, the answer is based on general knowledge.

Learn more about residual plot in: https://brainly.com/question/2876516

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I have 2 questions, What is the smallest power of ten that exceeds 89,876,230,128,970?


Question 1 options:


A. 10^11



B. 10^14



C. 10^15



D. 10^12 What is the smallest power of 10 that exceeds? 981 44/61


Question 2 options:


A. 10^3



B. 10^4

C. cannot be found


D. 10^-2

Answers

Answer:

Question 1: Option B

Question 2: Option A

Step-by-step explanation:

Question #1:

Options are:

10¹¹ = 100000000000

10¹⁴ = 100000000000000

10¹⁵ = 1000000000000000

10¹² = 1000000000000

The power that exceeds the given quantity would be:

10¹⁴ ⇒ There are more digits.

Question #2:

We have the following expression:

981 44/51 = 61*981+44/61 = 981.72

We have to 10³ = 1000
So, the correct option is 10³

Simplify this algebra expression:

6j-2j-2j+8+9+6e+5

Answers

Answer:

6j-2j-2j+8+9+6e+5

= 6j - 4j + 6e + 24

= 2j + 6e + 24

When solving the equation 4 (3x2 + 2) - 9 = 8x2 + 7, Emily
wrote 4 (3x + 2) = 8x2 + 16 as her first step. Which
property justifies Emily's first step?
A addition property of equality
B commutative property of addition
multiplication property of equality
distributive property of multiplication over addition
A

Answers

Answer:

A

Step-by-step explanation:

In this example, Emily is adding 9 to both sides of the equation. Doing so keeps the equation equal since the operation was done to both sides, so this must be the addition property of equality.

HELP PLEASEEEEEEEEEEE

Answers

Answer:

c

Step-by-step explanation:

The answer is C. I took the test

Who use remind if so join with this code 2ff7fb

Answers

Answer:

Whats remind?

Step-by-step explanation:

Please help me :)



Thank you :)

Answers

Answer:

90 degrees :)

Step-by-step explanation:

x and 90 are supplementary.

x + 90 = 180

x = 90

rico wants to know if his score in math test is higher than 80% of his classmates which measure of position should be used to determine this? is it quartiles or deciles?defend your answer.​

Answers

Answer:

Decile

Step-by-step explanation:

Quartile only divides group into 4 => 25%, 50%, 75%, 100%

Decile divides group into 10 => 10%, 20%,..., 80%, 90%, 100%

how do i figure this out?

Answers

Answer:

(y+2) / y

Step-by-step explanation:

Just do what is says     f(x ) = (y+2) / y

A farm house shelters 10 animals some are pigs and some are ducks. Altogether there are 36 legs. How many pigs are there?

Answers

I believe 8,

Each pig has 4 legs and each duck has 2, if you multiply 2(2) you get 4 and the 4(8) you get 32.


32+4=36

Answer:

8 pigs are there according to the questions because in question there is told that there are pigs as well as ducks

help pls i have 7 of these question 100 points there is a part 2 to this question i will be making another one 100 points as well. detailed answers are appreciated

Answers

Answer:

[tex]y=x[/tex][tex]y=x-2[/tex][tex]y=2x+10[/tex][tex]y=5x[/tex][tex]y=x+21[/tex]

Whenever finding a rule, figure out what x+1 relates to in terms of y (aka the slope). Also, figure out the y-intercept (0,y)

Example:

x+1 = y+2.

Slope: 2 ÷ 1 = 2.

The y-intercept is (0,9)

This would make the rule y=2x+9

Answer:

1. y=x 2. y=x-2 3. y=2x+10 4. y=5x 5. y= x+21

Step-by-step explanation:

What is the value of the equation 3/4 (2x - 16) = 27

Answers

Answer:

X=26

Combine multiplied terms into a single fraction to make the question more simple.

EX: 3(2x-16)/4

Answer:

x=26

Step-by-step explanation:

3/4(2x-16)=27

3/4×2(x-8)=27

3/2(x-8)=27

x-8=27×2/3

x-8=9×2

x-8=18

x=18+8

x=26

Solve 2(x – 11)2 = 128.

Answers

X=43


Explanation:4(x-11)=128
X-11=32
X=43

Can i get a reaolve of that problem? Statics

Answers

Answer:

which question

Step-by-step explanation:

give us clarity please

Liberal arts Mathmatics 1 for CR Sem 2

Answers

Check the picture below.

In the early Iberian Peninsula both
Muslims and existed.
A. Catholics
B. Christians
C. Jews

Answers

Answer:

jews

Step-by-step explanation:

Answer:

Christians.

Step-by-step explanation:

24x-12 equivalent expressions

Answers

Answer:

24x-18+6

Step-by-step explanation:

24x-18+6, 6+-18=-12, 24x-12=24x-2

Find the value of x.

Answers

Answer:

x=13

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2*x+14)-((3*x+1))=0

1.1      Solve  :    -x+13 = 0

Subtract  13  from both sides of the equation :

                     -x = -13

Multiply both sides of the equation by (-1) :  x = 13

Out of 500 people sampled, 395 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to four places

< p

Answers

Answer:

Sample proportion (phat) = 180/400 = 0.45z-critical value for 95% confidence interval is z-score for probability = 0.975 = 1.96CI = phat +/- z-critical value * sqrt((phat)(1-phat)/sample size)      = 0.45 +/- 1.96 * sqrt(0.45 * 0.55/400)    = 0.45 +/- 0.049     = 0.401, 0.499

Jessamyn bought 3 notebooks that cost $2.25 each and a pen that cost $0.75. Sales tax on her purchases was
6%. What was the amount of the sales tax?
$0.54
$0.75
$0.18
$0.45

Answers

number one i think i am correct
It will be 0.45 ………..

please i need help as fast a possiable

Answers

Agree


-(-7) would be positive 7 which is what is plotted.

Also the other two numbers are also plotted

Answer:

Agree with all three

Step-by-step explanation:

The points displayed on the numberline are -2, 1, and 7. The points given to you are -(-7), 1, and -2. Because -(-7) = 7, and 1 = 1, and -2 = -2. All three numbers given are ineed plotted on the numberline below.

help find the measure of the arc or angle indicated.
please provide work with your answer!​

Answers

Answer:

The answer is a angle indicated to this answer

if is right mark me the brainliest if not don't worry please

Find the volume of this

Answers

The Answer would be: V≈ 376.99

Subtract the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]= cos x sin y

Answers

The required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

To answer the question, we need to know what trigonometric identities are

What are trigonometric identities?

Trigonometric identities are relationships between the trigonometic ratios.

Since we require cosxsiny

Given that

sin(x + y) = sinxcosy + cosxsiny and sin(x - y) = sinxcosy - cosxsiny

So, subtracting both expressions, we have

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy - cosxsiny)

= sinxcosy + cosxsiny - sinxcosy + cosxsiny

= sinxcosy - sinxcosy + cosxsiny  + cosxsiny

= 0 + 2cosxsiny

= 2cosxsiny

sin(x + y) - sin(x - y) = 2cosxsiny

Dividing through by 2, we have

1/2[sin(x + y) - sin(x - y)] = cosxsiny

So, the required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

Learn more about trigonometric identities here:

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What is the value of x in the equation 0.3x + 0.2 = 5?

Answers

[tex]~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16[/tex]

What is the volume of the rectangular prism?
(not drawn to scale)
4 in.
7 in.
2 in.
A 100 in
B 15 in
C 28 in
D 56 in
Helppp

Answers

Answer:

D - 56

Step-by-step explanation:

Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.

What is the area of a sector, if the radius is 12cm and the angle for the sector is 134°? Use π = 3.14

Answers

Given:

radius(R) = 12 units

arc = 134°

Find: area of sector

Plan: if you think about it, a sector area is a fractional part of the full area of the circle. It’s a pie piece.

A(circle) = π R^2

134° is 134°/360° = 67/180 That is 67/180 th of the full circle

area (S) = 67/180 (π R^2)

S = 67/180 (π )(12^2) = 67/180(144 π) = 54 π units^2 or

≈ 54(3.1416) ≈ 168.389 units^2

Double Check: ✅ ✅

Answer: 18 π units^2 or 168.39 units^2 approximately

Manuel borrowed money from credit union for 3 years and charged simple ingress at 2% annually and paid $24 in interest how much money did he borrow

Answers

Answer:

$400

Step-by-step explanation:

Hope the picture will help you........

could someone help me rnnn?

Answers

Answer:

vertex = (0, -4)

equation of the parabola:  [tex]y=3x^2-4[/tex]

Step-by-step explanation:

Given:

y-intercept of parabola: -4parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and [tex]a[/tex] is some constant)

Substitute point (0, -4) into the equation:

[tex]\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}[/tex]

Substitute point (-2, 8) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}[/tex]

Substitute point (1, -1) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}[/tex]

Equate to find h:

[tex]\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}[/tex]

Substitute found value of h into one of the equations to find a:

[tex]\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}[/tex]

Substitute found values of h and a to find k:

[tex]\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]\implies y=3(x-0)^2-4=3x^2-4[/tex]

So the vertex of the parabola is (0, -4)

It can be solved through some shortcut tricks of parabola

y intercept= (0,-4)

It passes through (-2,8) and (1,-1)

The minimum equation of the parabola (as it's quadratic) for vertex at (0,0)

y=ax²

whatever our required parabola be it's translated from the above one

So

ax²=y

Let a be 0

current equation is y=x²

So it has vertex as well as y inetrcept at (0,0)

For x=-2

y=(-2)²=4 (but its 8 in our translated one )

For x=1

y=1

It wasn't negative but in translation it's negative so something is subtracted

Take a =2 and subtract (-2)² i.e 4 as it's minimal value of y=x² where x≠y

For

(-2,8)

-2=2(4)-4=8-4=4

No try a=3

-2=3(4)-4=12-4=8

Yes satisfied

Take (1,-1)

-1=3(1)-4=3-4=-1

Verified

The required equation is

y=3x²-4
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