Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
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5 years ago, the average age of ishan and his father was 27 years old. If ishan is now 1/3 of his father’s age, how old os ishan now?
Answer:
9
Step-by-step explanation:
3x9=27
Which point approximates √30? A) A B) B C) C D) D
Question is in photo attached:
There is only one real solution to these two equations, which we can see on the graph. The solution is where the two equations intersect.
Hope this helps!! :)
Find the mean for this series of numbers.
15 40 10 40 30
mean =
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135.
135÷5 I.e the total average of the number.
135÷5=27
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135
135/5
Because 5 is the number of numbers
=27
Find the perimeter and area of the figure with the given coordinates:
A(-2,-1), B(-2,-4), C(3,-4), D(3,-1)
Devin owes $26,000 in students loans for college. The interest rate is 8.75% and the loan will be paid off over 15 years. How much will Devin pay altogether?
Using simple interest, it is found that Devin will pay $60,125 altogether.
The amount paid in simple interest is:
[tex]A = P(1 + rt)[/tex]
In which:
P is the principal.r is the interest rate, as a decimal.t is the time, in years.In this problem:
Owes $26,000 in student loans, thus [tex]P = 26000[/tex]Interest rate of 8.75%, thus [tex]r = 0.0875[/tex]Paid off in 15 years, thus [tex]t = 15[/tex].The amount he will pay is of:
[tex]A = P(1 + rt)[/tex]
[tex]A = 26000[1 + 0.0875(15)][/tex]
[tex]A = 60125[/tex]
Devin will pay $60,125 altogether.
A similar problem is given at https://brainly.com/question/13176347
HELP A CHICKEN NUGGET OUT!
What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=
Answer:
You are chicken nugget
Step-by-step explanation:
Hhahahah
How to find the square root in long division method for 5.4289
(explanation attached)
The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Tigers team in order from Least to Greatest.
Who was the captain of the Tiger Team?
1. A bird that was perched atop a 15 foot tree dives down six feet to a branch
below. How far above the ground is the bird's new location?
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]
What is the hcf of 144, 20 and 12
Two numbers that will multiply to -45 and also add to 4
Answer:
your numbers are -5 and 9, since 9 * -5 = -45 but 9 + (-5) = 9 - 5 = 4
Answer:
The numbers are 9 and -5
Step-by-step explanation:
9×-5= -45
9-5 = 4
find csc θ and sec θ if cot θ= 3/2 and cos θ>0
Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:
cot(θ) = cos(θ)/sin(θ) > 0 ===> sin(θ) > 0
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Multiplying both sides by 1/sin²(θ) yields another form of the identity,
sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)
1 + cot²(θ) = csc²(θ)
so that
csc(θ) = + √(1 + cot²(θ))
csc(θ) = √(1 + (3/2)²)
csc(θ) = √13/2
By definition of cosecant, we have
csc(θ) = 1/sin(θ)
so that
sin(θ) = 2/√13
Then using the Pythagorean identity once more, we have
cos(θ) = + √(1 - sin²(θ))
cos(θ) = √(1 - (2/√13)²)
cos(θ) = 3/√13
so that, by definition of secant,
sec(θ) = 1/cos(θ)
sec(θ) = √13/3
PLEASE HELP THIS DUE AT 12:00 PM
Answer:
a.
Scale Factor = 2
Reason:
Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.
I held their horizontal sides and compared them.
in case of A, the side is 2.5 and in case of B it's 5.
so, 5 divided by 2.5 gets you 2, that is the scale factor.
b.3, 5 (from left to right)
Solution:
[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]
this also means
[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]
Scale factor = 2Using this we'll get the answer to the question marks
The corresponding side to 1.5 is the vertical one in B.=> corresponding side in B = 2 × 1.5
= 3
(this is the first question mark in order from left to right)
The corresponding side to 2.5 is:= 2 × 2.5
= 5
c.53° and 37° (from top to bottom)
Solution:
Scaled shapes have the same angle measures.
Reason:
When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.
Expand and simplify (x+4)(x+2)
A. 8x+8
B. X2 (squared) +2x +4x +8
C. X2 (squared) +6x +8
D. X2 (squared) +6x +6
E. X2 (squared) +8
Answer:
b.x2(squared) +2x+4x+8
Answer:
C. X2 (squared) +6x +8
Step-by-step explanation:
I hope this helps
Help pleaseeeeeeeeeee
Help plz 20 points !!!!!!!!!!!!!!!!!!!
Answer:
(- 3, 0 ) and (5, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² - 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3 , since
- 5 × 3 = - 15 and - 5 + 3 = - 2 , then
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
The x- intercepts are (- 3, 0 ) and (5, 0 )
please help! no work needs to be shown:)
7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23
Step-by-step explanation:
[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]
Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend?
Answer: 183.77
Step-by-step explanation:
23*7.99 =183.77
What is the probability
The answer is yes but not if so
Find the perimeter of the triangle whose vertices are (−4,4), (−4,1), and (−8,−4). Write the exact answer. Do not round.
Answer:
Step-by-step explanation:
The perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
How to determine the perimeter?The coordinates are given as:
(−4,4), (−4,1), and (−8,−4).
Calculate the distance between the vertices using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-4 + 4)^2 + (4-1)^2} = 3[/tex]
[tex]BC = \sqrt{(-4 + 8)^2 + (1+4)^2} = \sqrt{41[/tex]
[tex]AC = \sqrt{(-4 + 8)^2 + (4+4)^2} = \sqrt{80[/tex]
The perimeter is the sum of the side lengths.
So, we have:
[tex]P = 3 + \sqrt{41} + \sqrt{80}[/tex]
Expand
[tex]P = 3 + \sqrt{41} + 4\sqrt{5}[/tex]
Hence, the perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
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Mr. and Mrs. Sung stayed at a bed-and-breakfast for
two nights while on vacation. Their final bill for the
room including sales tax was $364.61. If they were
charged 10.3% tax on the room, how many dollars per
night did the room cost before tax?
Answer:
163.53
Step-by-step explanation:
if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53
Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5
Answer:
d
Step-by-step explanation:
Help me please help me help please
Answer:
[tex] \frac{9 - 15}{2 - 0} = \frac{3 - 9}{4 - 2} = - \frac{6}{2} = - 3[/tex]
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
i rlly need help--plzzzzzzzzzzzzzzzzz 10 points
Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is 3763.2 ÷0.512 with the work that goes with it.
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
Round 6,823 to the nearest thousand
Answer:
7,000
Step-by-step explanation: