Answer:
[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]
Step-by-step explanation:
A second-degree equation is often expressed as:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The equation to solve is:
[tex]p^2-4p=1[/tex]
We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:
[tex]p^2-4p-1=0[/tex]
Now we have the values to solve the equation:
a=1, b=-4, c=-1
Applying the formula:
[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]
[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]
Since 20=4*5:
[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]
Taking the square root of 4:
[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]
Simplifying by 2:
[tex]p=2\pm \sqrt{5}[/tex]
Two solutions are found:
[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]
What value of m makes this equation true?
m/4-3 = 9
Drag and drop the number that correctly completes the equation
Answer:
m = 9
Step-by-step explanation:
m/4-3=9
m/(4-3)=9
m/1=9
m=9
Eric sells boxes of cookies for $8 each. Yolanda sells boxes of cookies for $10. Each of them sold the same dollar amount. How many boxes did Eric sell
Answer:
If Eric sells boxes of cookies for $8 each, and Yolanda sells boxes of cookies for $10 each, and they made the same amount of money, then Eric sold 5 boxes.
Step-by-step explanation:
To solve this problem, you must find the lowest common multiple of eight and ten. That would be 40, which is how much they both made. $40 / $8 per box = 5 boxes.
...And you don't need to know this, but Yolanda sold 4.
The picture below shows the solution set for which system of inequalities? A. y>x y<2 B. y>x y>2 C. y2 D. y
Answer:
Y<x
Y<2
Step-by-step explanation:
Apex
John took a 5 1/2 mile walk to his friend's house. He left at 11 a.m. and
arrived at his friend's house at 12:45 p.m. What was his average speed of
walking in miles per hour?*
Answer:
3.14 mph
Step-by-step explanation:
5.5 divided by 1.75
5.5 is the miles
1.75 is the hours
Answer: The average speed on the return trip is 2.44 miles/h
Step-by-step explanation:
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
please help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
[tex] \frac{5(q + p)}{2} = 3 + 4p \\ [/tex]
Multiply sides by 2
[tex]5(q + p) = 2(3 + 4p)[/tex]
[tex]5q + 5p= 6 + 8p[/tex]
Subtract sides minus 5p
[tex]5q = 6 + 8p - 5p[/tex]
[tex]5q = 3p + 6[/tex]
Divided sides by 5
[tex]q = \frac{3p + 6}{5} \\ [/tex]
a = 3 , b = 6 , c = 5
They're all positive.
So we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
2x+y=7 solve for y. what is the answer?
Answer:
Step-by-step explanation:
There is no numeric answer, or there are many.
y = 7 - 2x is the first answer that you have to get.
Now you are away. The domain is anything.
The range (the y value) is also anything.
What number is 40% of 307
Input only whole numbers.
Answer:
123 is 40% of 307.
HIGH SCHOOL
od knowledge Matters
Spotting the opportunity Math Quiz
QUESTION 3 of 10: There are about 30.2 million small businesses in the United States and about 30,000 other larger businesses. What
percent of all businesses in the U.S. are small businesses?
a) 30%
b) 99%
c) 99.9%
d) 100%
Submit
Answer:99.9
Step-by-step explanation:
The percent of small businesses to all businesses is equal to 99.99%.
It is given that there are about 30.2 million small businesses and about 30000 large businesses.
We have to find out what percent of all businesses in the U.S. are small businesses.
What do you mean by percentage ?
A percentage is a number or say ratio that can be expressed as a fraction of 100.
As per the question ;
The approximate number of small businesses is ;
= 30.2 million
= 30200000
The number of large businesses is ;
= 30000
Total number of businesses will be ;
= 30200000 + 30000
= 30230000
The percent of small businesses to all businesses ;
= [tex]\frac{30200000}{30230000}[/tex] × 100 %
= 0.999 × 100 %
= 99.99 %
Thus , the percent of small businesses to all businesses is equal to 99.99%.
To learn more about percentage click here ;
https://brainly.com/question/18811795
#SPJ2
Can anybody help me please with question 1 please and thank you .I would really appreciate it so much. Please
Do you want the answer for question 1!? It's already done! It says Given right there, that's an example answer :)
(2x + 19)°
(3x + 8)°
How do I solve it?
The answer is 11° . U can see answer step by step in above picture.
Thank you ☺️☺️
Answer: X=11
(2x+19)=(3x+8)
-2x -2x
19=(x+8)
-8 -8
11=x
Please help ASAP Cool Down: Graph the Relationship
Sketch a graph that shows the
relationship between grams of
honey and grams of salt needed
for a bakery recipe. Show on
the graph how much honey is
needed for 70 grams of salt.
Answer:
105
Step-by-step explanation:
15/10= 1.5
30/20= 1.5
70x1.5= 105
Helppp fasttt! also always contains brainliest!
Answer:
Im pretty sure it's F
Step-by-step explanation:
Sorry if im wrong
*DOMAIN AND RANGE HELP PLEASE
if u can tell me the answers like *A. then say the two numbers that would be helpful*
but please help me!!!!!!
Answer:
Step-by-step explanation:
A) Domain: 8 Range: 7
B) Domain: 5 Range: 6
C) Domain: 1 Range: 2
D) Domain: 3 Range: 4
SOMEONE HELP ME PLSSSSSS
Answer:
1. B) 2. D)
Step-by-step explanation:
Yuh
A new car is purchased for 24900 dollars. The value of the car depreciates at 6.75% per year. To the nearest tenth of a year, how long will it be until the value of the car is 15900 dollars?
Answer:
5.5 years
Step-by-step explanation:
24900 times 6.75% = 1,680.75
so this is how much it goes down per year, but we have to find it were the price reaches 15900. so 9000-1680.75=
7,319.25( one year)
7,319.25-1680.75 = 5,638.5 (second year)
5,638.5-1680.75= 3,957.75 (third year)
3,957.75-1680.75 = 2,277 (fourth year)
2,277-1680.75= 596.25 (fifth year)
Answer:
the correct answer would be 5.5
Step-by-step explanation:
I solved it and got it correct on the test
What is a slope of A and B
A.1/3
B.1/2
C.1/4
D.3/4
Answer:
A. 1/3
Step-by-step explanation:
to find slope (rise over run), you count how many points up and how many points over it is to get from one point to another on the line graphed.
from point A to point B, it is 4 up and 12 over (4/12). then, you have to simplify it, making it 1/3.
hopefully that helped! please consider brainliest! :)
(I need one more to move up a rank lol)
5.22 write the decimal as a fraction or mixed number in simplest form
Answer:
5 and 11/50
Step-by-step explanation:
5.22 = 261/50 = 5 and 11/50
The mean,mode,median in
2, 5, 5, 6, 7, 3, 2, 6?
1. multiply x^2-16/6x • 7x/x+4
a. 7(x-4)/6
b. 7(x+4)/6
c. (x+4)^2(x-4)/42x^2
d. (x-4)^2(x+4)/42x^2
2. multiply y^2-9/-2y • -5y/y+3
a. -5(y+3)/-2
b. -5(y-3)/-2
c. (y+3)/-2
d. y-3/-2
Answer:
1. b
2.c
Step-by-step explanation:
Answer:
1.A
2.B
Step-by-step explanation:
Hope this helps
This it to the online school kids
How long does it take you to get ALL of you lessons done for the day?
It takes me on average 5-9 hours I kinda struggle alot lol.
Answer:
it averages about 8AM to 11Am so 3 hours
Step-by-step explanation:
combine like terms
5x + X =
Answer:
6x
Step-by-step explanation:
5x + x = ?
5x + x = 6x
This is because x means 1x
Answer:
Today: Monday, 12 October 2020
Hour: 09.15 WIB (in Indonesian)
_________________________
5x + x =
x = 1
5x + x = 6x
help please! step by step if possible
9514 1404 393
Answer:
use the formula for slope2/3Step-by-step explanation:
The formula for slope (m) of a line between two points is ...
m = (y2 -y1)/(x2 -x1)
Pick two points from the table and fill in the values. Using the last two table entries, we have ...
m = (7 -5)/(5 -2) = 2/3
The slope is 2/3.
What is the smallest possible value for x when î x plus 5 is greater than or equal to 3?
Answer:
x = - 2
Step-by-step explanation:
Given
x + 5 ≥ 3 ( subtract 5 from both sides )
x ≥ - 2
Thus smallest possible value for x is - 2
Which expression is equivalent to -2y+10x−2y+10x?
Answer:
-4y + 20x
Step-by-step explanation:
The gardener plans to fertilize the region of grass. The
gardener can buy only full bags of fertilizer and will
use at least 1 bag per 225 square feet of grass. What is
the minimum number of bags of fertilizer the gardener
needs to buy?
Answer:4
Step-by-step explanation:
NEED HELP! ASAP! 50 POINTS!
What is the slope intercept form of 4x-3y=18? Explain.
A) y = 3/4x - 6
B) y = -3/4x - 6
C) y = 4/3x - 6
D) y = -4/3x + 6
Answer:
D
You use algebra and solve it for y.
Step-by-step explanation:
4x-3y=18
3y=4x+18
y=4/3x +6
Answer:
D
Step-by-step explanation:
solve for z (show your work)
Answer:
z=-3
Step-by-step explanation:
combine like terms then solve
x2 - 10x + 21 = 0
How do you work this problem?
Answer:
x = 3, 7
Step-by-step explanation:
Step 1: Write equation
x² - 10x + 21 = 0
Step 2: Factor
(x - 7)(x - 3) = 0
Step 3: Find roots
x - 7 = 0
x = 7
x - 3 =0
x = 3
41= 5x+17-3x need please
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution}}}}}[/tex]
41=5x+17-3x
41=5x-3x+17
41=2x+17
41-21=2x
2x=20
[tex]x= \frac{20}{2} [/tex]
Hence,value of x=10
Hope it will help you ☺☺✌✌