Answers
e) root 24
Explanation
x^2 + px + 6 = 0 has equal roots.
This means it has 1 root which is repeated.
Therefore when the values are inserted in the quadratic formula you should obtain one root.
This can only be done when the discriminant b^2 - 4ac = 0.
x = -b + or - root 0 (discriminant) / 2a
Therefore x = -b/2a
Where ax^2 + bx + c is the quadratic.
Insert a= 1 and b = p
-p/2 is the root
Therefore x = -p/2 when y = 0 (as the root is an x-axis intercept.
Substitute x = -p/2 in equation in question
(-P/2)^2 + -p^2/2 + 6 = 0
p^2/4 - p^2/2 = -6
Subtract fractions
- p^2/4 = -6
-p^2 = -24
p^2 = 24
p = square root 24
Answer:
√24Option C is the correct option.
Please see the attached picture for full solution.
Hope it helps ...
Good luck on your assignment...
Related Questions
AYUDAAA... ES PARA HOY
Answers
Answer: A para B
Step-by-step explanation: Me no a little espanol, y i think A par B, gracias hasta luego, mucho gusto!!
The perimeter of the rectangle is 26
Answers
Answer:
9
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
Let x be the length of the rectangle and P the perimeter
P= 4*2+ 2x
26= 8+2x
18= 2x
x= 9 m
PLEASE HELP ME! I NEED ANSWERS FAST! WILL MARK THE BRAINLIEST!
Answers
Answer:
d
Step-by-step explanation:
The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).
Answer:
D
Step-by-step explanation:
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answers
Answer:
150 cans
Step-by-step explanation:
Instructions: Find the following information using the given image.
X=
Answers
Answer:I would say it’s 52in
Step-by-step explanation:
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answers
Answer:
not d
Step-by-step explanation:
i tried it hehhe
Answer: 60 square units
Step-by-step explanation:
If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k? (3 points) k 12 k ≤ 12 k ≥ 12
Answers
Answer:
k≥12
Step-by-step explanation:
If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.
I hoped that helped!
:)
Answer:
c
Step-by-step explanation:
it says above
please find x pleaseeeee
Answers
Answer:
x = 74°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of its intercepted arc, that is
x = [tex]\frac{1}{2}[/tex] × 148° = 74°
Identify the volume of the composite figure. Round to the nearest tenth. HELP PLS options: 143.8 in ^3 162.7in^3 4,712.4in^3 187.7in^3
Answers
Answer:
The volume of the composite figure is 162.7 in^3
Step-by-step explanation:
Here, we have a cylinder placed over a cube
The volume of the cube is L^3
With L being the length of its side = 5
The volume of the cube is 5^3 = 125 in^3
The volume of the cylinder is pi * r^2 * h
with r = 2 in and h = 3 in
The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3
Total volume is thus;
37.7 + 125 = 162.7 in^3
Please Help I will mark brainliest
Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answers
Answer:
y = x-4
Step-by-step explanation:
The first thing we need here is to find the slope m of the line passing through the two points.
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)
Thus; m = (1-(-4))/(5-0) = 5/5 =0
The standard form of the equation is;
y = mx + c
where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;
y = x + c
To get c, what we need to do is to use any of the points and substitute the values of x and y to get c
Let’s use (5,1)
1 = 5 + c
c = 1-5
c = -4
So the line would be
y = x -4
Express each percent as a decimal:
7 1/2%
Answers
Answer:
0.075
Step-by-step explanation:
To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.
the answer is 0.075.
to convert a percent to decimal you must move the decimal point two places to the left. so for 7.5% you would move the decimal spot two places to the left leaving you with 0.075. think about it this way: a percent is out of 100 and 0.07 read out loud is “seven hundredths” (7 out of 100).
the nth term of a sequence is 3n + 5 write down the 5th and 6th terms of the sequencce
Answers
Answer:
the nth term of the sequence is 3n+5.
now, 5th term=5×3+5=20
6th term = 6×3+5=23
is your answer...
What is the slope of the line shown below?
Answers
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!
Answer:
-2/7
Step-by-step explanation:
To find the slope we use the formula
( -4,3) and ( 3,1) are two points on the line
m = ( y2-y1)/(x2-x1)
= ( 1-3)/( 3 - -4)
( 1-3) /(3+4)
-2/7
What is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligram? Using formula C= _a__ . A a + 12
Answers
Answer:
Child's dosage=60 milligram
Step-by-step explanation:
The correct formula is below
C= a/(a+12) ∙ A
Where,
C = child’s dosage in milligrams
a = age of the child
A = adult dosage in milligrams
a=6 year old
A=180 milligrams
C= a/(a+12) ∙ A
=6/(6+12)*180
=6/18*180
=1/3*180
=60
Child's dosage in milligram=60 milligram
A circle with radius of 2 cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region?round your final answer to the nearest hundredth
Answers
Answer:
64.44cm^2
Step-by-step explanation:
11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2
Derek applies grass seed to 2/5 acre in 3/4 hour. How many acrers can Derek cover per hour. (Please show work)
Answers
Answer:
8/15 acres per hour
Step-by-step explanation:
To find acres per hour, divide acres by hours:
(2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h
Derek can cover 8/15 acres per hour.
Please help me with this question!!!!!! PLEASE.
Answers
Answer:
B. -9, 7
Step-by-step explanation:
For the rational expression to be undefined the denominator has to equal 0.
x² + 2x - 63 = 0
Factor left side.
(x - 7)(x + 9) = 0
Set factors equal to 0.
x - 7 = 0
x = 7
x + 9 = 0
x = -9
x = -9 or x = 7
Answer:
B
Step-by-step explanation:
A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:
[tex]0=x^2+2x-63[/tex]
This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).
We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:
[tex]0=(x+9)(x-7)[/tex]
[tex]x+9=0 ; x=-9[/tex]
[tex]x-7=0; x=7[/tex]
The zeros are -9 and 7.
The denominator will equal 0 at these values, and the expression will be undefined.
i do not understand this , please help!
Answers
It costs $20 for each metre of
border edge for a rectangular area.
What is the greatest area someone can enclose by spending $4500?
Answers
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 equals=not attractive; 10 equals=extremely attractive). find the range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult males
Answers
Answer:
hello the data is missing but it is included in the explanation below
missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
Answer :
A) range = 9 , variance = 8.3015, standard deviation = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Step-by-step explanation:
A ) calculate the Range, variance and standard deviation
The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6
i) Range = difference between largest and smallest values
= 10 -1 = 9
ii) variance = summation of ; (xi − x)^2/n-1
= 207.5385/26−1 ≈ 8.3015
iii) standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{8.3015}[/tex] = 2.8812
B) The results cannot be a representative of the variation of attractiveness among the population of adult males
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions.
Part A
Are the vectors v1 = < V3, 1 >and va = <-13, -1 >parallel? Show your work and explain
Part B
Are the vectors Ui =< 2, 3 >and u2 =-3,-2 > parallel? Show your work and explain.
Answers
Answer:
When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by
[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]
So, we just need to find the angle for each vector and see if they are equivalent.
We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.
[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]
Which will give different angles in the end.
Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be
[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]
As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.
Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.
PLEASE HELP ME IM BEGGING IM REALLY STRUGGLING
Answers
Answer:
I hope it will help you.....
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Please answer is question in two minutes
Answers
Answer:
C: 38 units
hope this helps!!
fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__
Answers
Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answers
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
I hope this helped!
FREE
EE
Help ASAP Wich graph represents the compound inequality?
n<-2 or n 4
-5 -4 -3 -2 -1 0 1
2
3 4 5
>
A+++
-5 4 -3 -2 -1 0 1
2
34
5
5 4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1 2
3
4 5
Answers
Answer:
Option (3)
Step-by-step explanation:
Inequality n < -2 will be represented on a number line as,
A ray starting form -2 with a hollow circle directing towards -5.
Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.
By combining these inequalities on a number line we get Option (3) as a correct option.
Given the following logarithmic equation, think about how you would solve each one. Now,
describe those processes using at least 3 to 4 sentences. Then solve, showing your work.
Equation 1: log2 + logx = log3
Answers
Answer: x = 3/2
Step-by-step explanation:
log (2) + log (x) = log (3) Given
log(2x) = log(3) Condensing log rules
2x = 3 Cancellation log rule
[tex]x=\dfrac{3}{2}[/tex] Division Property
The pictogram shows what people ate when they went to a restaurant.
a) 32 people ate chicken.
How many people does
represent?
Chicken
Beef
Fish
Vegetarian
b) Altogether, how many people
went to the restaurant?
pls help
Answers
Answer:
Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together
chicken=128
beef= 80
fish=32
vegetarian=112
128+80+32+112= 352 people ate at the restaurant
Answer:
Altogether, 88 people went to the restaurant.
Step-by-step explanation:
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answers
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
graph e(x) = √x − 10 .
Answers
Answer:
I Believe if so, this is your answer
Step-by-step explanation:
y = e ( x )
OR
y = √ x − 10