For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2​

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

I need help Barbara measured a restaurant and made a scale drawing. In real life, a table in the restaurant is 6 feet long. It is 2 inches long in the drawing. What scale did Barbara use for the drawing?

A bank offers the following loans:

Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53

What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years

please help due todayyyy://

HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a
tip. If there is an 8% sales tax added to the original cost of the service, how much did she pay in
total?
A. $87.12 B. $92.93
C. $100.60
D. 145.20

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*

Which of these statements best describes a biased sample?



A. The sample is small



B. The sample has results that are incorrect predictions



C. The sample does not accurately represent the population



D. The sample was chosen randomly

Solve 8y - 9 = -3y + 2​

Help this is due in 2 minutes

Evaluate the expression when a = 3.

2a =

Find the mean of the set of data.
3,2, 9, 3, 8,4,5,8,9, 2

Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.

How many square inches of paper is needed to cover the box?

3x+4=20 solve the following question

Write the numbers in order from least to greatest.

-2, 1 1⁄2, -2 3⁄4, 3⁄10

The gas mileage for Peter's car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car's gas tank has 17 gallons of gas at the beginning of a trip. If. Peter's car travels at an average speed of 50 miles per hour, which of the following functions fmodels the number of gallons of gas remaining in the tank thours after the trip begins? 21 A. f(t) = 17 - 50T B. f(t) = 17 - 500 21 17-500 C. f(t) 17-210 50 D. f(t) = 21​

WILL GIVE BRAIN LIST 4+8 diveded 2 x (6-3)

Find the slope of the line that contains (−3,5) and (3,−9).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.

How much should Josea leave for the tip?
Reminder: The total bill was $38. She wanted to leave
a 15% tip.

A right triangle has legs that measure 7 centimeters and 6 centimeters. What is the length of the hypotenuse in centimeters

Carrie is on Shark Tank and is offering 40% of her company for $100,000. What is the value of Carrie's company?

1: The local street cart sells bacon egg and cheese sandwiches for $2.50,
and soft drinks for $0.75. The street vendor made a total of $933 after
selling a total of 747 sandwiches and soft drinks. (5 points)
HELP QUICK

!!!!!!!!! PLEASE HELP !!!!!!!!!!


Solve x² - 6x - 7 = 0

I don’t understand algebra. Help me

Question 3
Write the rational number as a decimal.

let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .

help plz i need hel-p im so stuck man im lost

Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes

YOU HAVE A JAR OF PENNIES & QUARTERS. YOU WANT TO CHOOSE 25 COINS
THAT ARE WORTH EXACTLY $2.65

InO0, mCA=150andAB=CD

What is mBD?