Answers
Answer:
p = - [tex]\frac{2}{3}[/tex] , p = 2
Step-by-step explanation:
Using the discriminant to solve for p
Δ = b² - 4ac
The condition on the discriminant for 2 eeal and equal roots is
b² - 4ac = 0
Given
p²x² - (p + 2)x + 1 = 0
with a = p² , b = - (p + 2) , c = 1 , then
(- (p + 2) )² - 4p² = 0
(p + 2)² - 4p² = 0
p² + 4p + 4 - 4p² = 0
- 3p² + 4p + 4 = 0 ( multiply through by - 1 )
3p² - 4p - 4 = 0 ← in standard form
(3p + 2)(p - 2) = 0 ← in factored form
Equate each factor to zero and solve for p
3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]
p - 2 = 0 ⇒ p = 2
Related Questions
this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)
Answers
8(4-64/4)
8(4-16)
8(-11)
-88
Hey there!
8( 4 - 2^{6} ÷ 4)
= 8( 4 - 2^6 ÷ 4)
2^6
= 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4
= 16 * 4
= 64
= 8(4 - 64 ÷ 4)
= 8(4) + 8(-16)
= 32 - 128
= -96
Therefore, your answer is: -96
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
how do you write the equation of the line that passes through the points (-9,4) and (7,-2)
Answers
Answer:
y = -3/8x+5/8.
Step-by-step explanation:
First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.
Answer:
y = (-3/8)x + 5/8
Step-by-step explanation:
First we need to find the slope of the line connecting these two points. Slope is represented by m and is equal to rise/run.
Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise). Thus, the slope of this line is
m = rise/run= -6/16, or -3/8.
Adapt the slope-intercept formula y = mx + b to this situation. From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8. Then we have:
4 = (-3/8)(-9) + b, from which we get the y-intercept, b:
4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.
The equation describing this situation is y = (-3/8)x + 5/8.
What is 2 rounded to the nearest whole number?
Answers
Answer:
2
Step-by-step explanation:
The answer I need for this question is of how to solve this question and not what x is.
Answers
Step-by-step explanation:
You know that all the degrees in a hexagon is 720.
84+87+128+150+103=552
Subtract 552 from 720.
You don't want x so just do 720-552=x
The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.
Answers
Answer:
h= (2a)/b
Step-by-step explanation:
solved for equation
Identify two ANGLES that are marked congruent to each other on the diagram below
Answers
Answer:
Angle J is congruent to Angle G
what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work
Answers
Answer:
7/16 of book
Step-by-step explanation:
1/8 book in 2 days means Lora reads 1/16 book every day
In 1 week (7 days), Lora reads 7 x 1/16 = 7/16
Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish
Answers
Answer:
omg u a real one been lloking for this bing bong
Step-by-step explanation:
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answers
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
What is the graph of y- (-1) = -1/2(x-(-2))?
Answers
Answer:
Y(355-+=098) THAT WHAT I GOT
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form
Answers
Answer:
C(C^3 + 8C^2 -3C -7)
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)
(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2) -7C [Combine like terms]
C^4 + 8C^3 -3C^2 -7C [Simplify]
C(C^3 + 8C^2 -3C -7) [Isolate 1C from the rest]
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Answers
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?
Answers
Answer:
5/4
Step-by-step explanation:
The original line is
7 - 3 / 4 - 9
4/-5, so the slope is -4/5
Perpendicular means the opposite sign and reciprocal.
5/4
|-13| = I do not get how I solve this equation could you please help me
Answers
Answer:
13
Step-by-step explanation:
whenever you take the absolute value of something it changes from negative to positive
Pls help me asap don’t put any links and pls show me how you got that answer I will give brainliest
Answers
6x - 1 = 2x + 5 + 4x - 6
Add same ( right side )
2x + 4x = 6x
5 - 6 = -1
Put that in to the equation
6x - 1 = 6x - 1
Because of this x could be anything since both sides of the equation are the same
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.
Which of the three objects casts the longest shadow?
Answers
Answer: The Tree height is 21 feet.
Step-by-step explanation:
Let's convert the measurements to feet:
The Building is 20 feet.
The Tree height is 21 feet.
The Flagpole is 18 feet.
Therefore, the Tree is going to cast the longest shadow since it is the highest.
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
Answer:
A
Step-by-step explanation:
The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1
Hope that helps
regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?
Answers
Answer:
she sold 680 chocolate chip cokies
Step-by-step explanation:
Help figure this out quick!
Answers
12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answers
Answer:
jjjjStep-by-step explanation:
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
Answers
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent
Answers
Step-by-step explanation:
Total change in number of student = (210 - 168)
=> 42
% change = Change/Original no. of students × 100
=> 42/210 × 100
=> 42/21 × 10
=> 20%
Can you please help me with this question
Answers
Answer:
B
Step-by-step explanation:
The table that represents a function will have no x-values repeated.
A. 4 is repeated -- not a function
B. all x-values are unique -- this is a function
C. 2 is repeated -- not a function
D. 3 is repeated -- not a function
Need help ASAP PLEASEEEEE
PLEASE DONT DELETE YOUR ANSWER THIS IS REALLY IMPORTANT !! :(
Answers
Answer:
(a) (4, -6)
Step-by-step explanation:
Try the values in the inequality and see which gives a true statement.
a) -3(4) +6 ≥ 5(-6) ⇒ -6 ≥ -30 . . . . true for (4, -6)
b) -3(2) +6 ≥ 5(3) ⇒ 0 ≥ 15 . . . . FALSE for (2, 3)
c) -3(-1) +6 ≥ 5(10) ⇒ 9 ≥ 50 . . . . FALSE for (-1, 10)
d) -3(6) +6 ≥ 5(-2) ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)
Of course, if you're expecting only one right answer, you can stop after you found it.
Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y=9
Answers
Answer:
Approximately (2, 1)
See image
Step-by-step explanation:
Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.
Answer: 5/2, 4/3
explanation: got it from a different verified answer
I need help with this question it Is math
Answers
Answer:
.y+1=4(i-2)
Step-by-step explanation:
A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?
Answers
Answer:
4/5
Step-by-step explanation:
So sorry if im wrong <3
Answer:
Each person will get 4/5, or 0.8 pounds of nuts.
Step-by-step explanation:
First, we need to convert 7 1/5 into an improper fraction, by multiplying
7 x 5 = 35
and adding
35 + 1 = 36
Our improper fraction is 36/5
Now, we can divide
36 / 9
5 / 1
To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply
36 x 1 = 36
5 x 9 = 45
Our answer is 36/45
We can simplify our answer by dividing by 9
36 / 9 = 4
45 / 9 = 5
Our final answer is 4/5, or 0.8 pounds of nuts
Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon
Answers
Answer:
21mi/gnStep-by-step explanation:
7mi/1/3gncalculate the product7mi/gn/3simplify the complex fraction
So the answer is=21mi/gnHope it helpsHow many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
Answers
The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:
Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68
What is the constant of proportionality?
9
17
34
36
Answers
Answer:
The answer is a
Its a because 13 times 3 is 39
13 times 4 is 52
and 13 times 5 is 65
Credit to: alizahalder2007