Answers
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = [tex](p+1)^2-4(1)(2p-5)[/tex]
For real roots,
[tex](p+1)^2-4(1)(2p-5)>0[/tex]
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Related Questions
(C) Write an equation for the amount, a, that Maria makes as a function of the number of hours, h, that she
tutors. Keep in mind that Maria will make $0 for tutoring for 0 hours.
Answers
Answer:
yes
Step-by-step explanation:
yes
Solve the equation: 13 + c = 232. What is the value of c?
Answers
Answer:
219
Step-by-step explanation:
Just take 232 minus 13, you get 219
Answer:
219
Step-by-step explanation:
13+c=232
subtract 13 from each side
c=219
hope this helps :)
1. What is (6^1/2 x3/4 simplified?
Answers
Answer:
1/ 6
Step-by-step explanation:
2/3 (3m-2) -3/4 (8m-2)
Answers
Answer:-4m+1/6
Step-by-step explanation:2/3(3m-2)-3/8(8m-2)
distribute
=(2/3(3m)+(2/3)(-2)+-6+3/2
=2m+-4/3+-6m+3/2
combine like terms:
=2m+-4/3+-6m+3/2
=(2m+-6m)+(-4/3+3/2)
=-4m+1/6
Which equation is equivalent to
1/5x-3=2/3
A 5X-45=3
B 3x - 15=10
C 3x-45 = 10
D X-15 = 10
Answers
Answer:
c) 3x - 45 = 10
Step-by-step explanation:
[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]
Cross multiply,
3*(x - 15) = 2*5
3*x - 3*15 = 10
3x - 45 = 10
Write an equation of a like that passes through the points (9,5) and (6,7)
Answers
Answer:
y=-2/3x+11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-5)/(6-9)
m=2/-3
m=-2/3
y-y1=m(x-x1)
y-5=-2/3(x-9)
y=-2/3x+18/3+5
y=-2/3x+6+5
y=-2/3x+11
Lance is an enthusiastic cyclist.
He uses an app on his phone to track each of his cycling sessions.
Below is shown some information about his last three.
In Lance’s last three cycling sessions.
(i) What was the shortest distance cycled?
(ii) What was the longest time that he cycled for?
(iii) Work out Lance’s cycling time.
Answers
Answer:
17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds
Step-by-step explanation:
From the picture attached :
The shortest distance cycled :
17.25 < 25.80 < 27.42
Hence, shortest distance cycled is : 17.25
Shortest cycling time :
1:01:13 < 1:50:05 < 1:56:20
Hence, shortest distance cycled is : 1:01:13
Total cycling time:
1:01:13 + 1:50:05 + 1:56:20
1 + 1 + 1 = 3 hrs
01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes
13 + 05 + 20 = 38 seconds
Total cycling time :
(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds
If the diameter of a circular pool is 15 ft, then what is the radius of the pool?
answer choices :
30 ft
15 ft
7.5 ft
5 ft
Answers
A school has all of the students in grade 8 take a math test. Several samples are taken from the results. Which of the following samples is NOT likely to produce a representative sample of the population?
Answers
step by step
sisbeuejebusnanakaiajrbrv
63° 55°
X =
degrees.
Answers
Answer:
Step-by-step explanation:
The sum of these angles must equal 360 degrees.
x+63+55=360
x+118=360
x=242
Find the percent change. Tell whether it is a percent increase or decrease.
from 84 to 63
A. 25% decrease
B. 33% increase
C. 25% increase
D. 33% decrease
Answers
how would i do both of these, show work pls
Answers
Answer:
-12.5%
-14.29%
Step-by-step explanation:
For #2:
Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:
0.25/2.00 = 0.125 = 12.5%
Then, since the price DECREASED by $0.25, the percent would be negative.
For #4:
Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:
0.50/3.50 = 0.1429 = 14.29%
Then, since the price DECREASED by $0.50, the percent would be negative.
Solve the simultaneous equations
2x + 5y = 16
- 2x + 3y = 8
Answers
Answer:
2x+y= -2, x + 2y = 2
x+y=3 , 2x-8y = 19
6x^2+3y^2=12 , x +y = 2
PLS HELP ASAP I ONLY GOT 15 MIN LEFTTT
Answers
Answer: b
Step-by-step explanation:
20. A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5
minutes at twice the rate of the first printer.
How many tickets did the second ticket printer make?
A. 4050
B. 1250
C. 810
D.500
Answers
PLEASE HURRY I WILL MARK BRANLIEST
Answers
Answer:
Option c
Step-by-step explanation:
-2x-10=-2(x+5)
Answer:
second is the answer okkkkkkkkkkkkkkkk
what is 4300x300 if you dont know it just try
Answers
Answer:
1,290,000
Step-by-step explanation:
hecker skills
Please Help give me an A
Answers
help me with this pleas w
Answers
Answer: 8
Step-by-step explanation:
4x8= 32
32x8= 256
256x8= 2048
Classify the triangle: a triangle with one right angle and no congruent sides.
Enter your answer
Answers
Answer:
Scalene Traingle
Step-by-step explanation:
Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!
I tried one and got it wrong so I need help again please ☹️
Answers
Answer: 45/11
Step-by-step explanation: You would do 5/1 then 9/11 times that which is 45/11
because, you would times 9/11 by 5/1 and that would get 45/11.
help
pls
(lots of points)
Answers
Answer:
Step-by-step explanation:
b is the independent variable.
m is dependent on b.
If 100 boxes are sold, the money collected is 30·100 = $3,000.
They collected $1530.
$1530 × (1 box)/($30) = 51 boxes sold
What Percent of 60m is 9m?
Answers
Nope this helped :)
Clare has 54$ in her bank account. A store credits her account with a 10$ refund. How much does she now have in the bank?
Answers
54 + 10 = 64
Pleaseee help I really dont get it
Answers
Answer:
1/2
Step-by-step explanation:
find the slope (1,1) and (2,3) do change in y over change in x then simplify
Answer:
2
Step-by-step explanation:
Find 2 easy-to-read points. Points that easy to read are on the intersection of grid lines.
For example, choose (1, 1) and (2, 3).
slope = rise/run
rise = difference in y
run = difference in x
Start at point (1, 1). To go to point (2, 3), first you go up 2 units. The difference in y is 2, so the rise is 2. Then you go 1 unit to the right. The difference in x is 1, so the run is 1.
slope = rise/run = 2/1 = 2
Answer: slope = 2
I need help quick plssss I’ll give brainliest
Answers
Answer:
64
Step-by-step explanation:
how do you find the area of a right triangle if you only have the base
Answers
Step-by-step explanation:
You can find the area of a right triangle the same as you would any other triangle by using the following formula:
A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.
For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.
Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:
A = (1/2)bh
= (1/2)(4 in.)(3 in.)
= (1/2)(12 in.²)
A = 6 in.² (note: in.² means square inches)
Points Y and Z are points of tangency. Find the value of a.
Answers
Answer:
a = 2Step-by-step explanation:
If Y and Z are points of tangency, then |XY| = |XZ|.
We have
[tex]|XY|=9a^2-30\\|XZ|=3a[/tex]
Domain
[tex]a>0[/tex]
Substitute
[tex]9a^2-30=3a\qquad|\text{subtract}\ 3a\ \text{from both sides}\\\\9a^2-3a-30=0\qquad|\text{divide both sides by 3}\\\\3a^2-a-10=0\\\\3a^2-6a+5a-10=0\\\\3a(a-2)+5(a-2)=0\\\\(a-2)(3a+5)=0\iff a-2=0\ \vee\ 3a+5=0\\\\a-2=0\qquad|\text{add 2 to both sides}\\a=2\\\\3a+5=0\qquad|\text{subtract 5 from both sides}\\3a=-5\qquad|\text{divide both sides by 3}\\a=-\dfrac{5}{3}<0[/tex]
Un rectángulo de 72 metros cuadrados de área y 18 m de base ¿Cuánto mide de altura?
Answers
Answer:
Step-by-step explanation:
área = base multiplicada por altura
72 m² = 18 m × altura
Altura = 72/18 = 4 m
Sandy has a 10% discount off the total price before tax is added for Larry's Lunch Place. It
the cost of the meal is $18.50,
1. What is the cost of the meal after the discount? (WE DID THIS IN CLASS-copy from
classwork)