Answer:
Step-by-step explanation:
The discriminant must be zero.
Discriminant = (-48)^2 - 4*9k = 2304 - 36K
36k = 2304
k = 64
Using the square of a subtraction, it is found that k = 64.
What is a square of a subtraction?It is a notable product, given by:
[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]
In this problem, the expression is:
[tex]9x^2 - 48x + k[/tex]
We want it to be the square of a binomial, hence:
[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]
Then, comparing both sides, first the value of a is found:
[tex]a^2 = 9[/tex]
[tex]a = \sqrt{9}[/tex]
[tex]a = 3[/tex]
Then, with the second term, the value of b is found.
[tex]2ab = 48[/tex]
[tex]6b = 48[/tex]
[tex]b = \frac{48}{6}[/tex]
[tex]b = 8[/tex]
Finally, the value of k is found.
[tex]k = b^2 = 8^2 = 64[/tex]
You can learn more about the square of a subtraction at https://brainly.com/question/9239489
Plzzs helppppppppppppp
Answer:
3/24 and 35/63
Step-by-step explanation:
3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24
7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63
Answer:
3 1 1
_ X _ = _
6 4 8
7 5 5
_ X _ = _
9 7 9
Hope this helped :)
7. Bella scored 8 points in the second round. This
made her total score 39. How many points did she
score in the first round?
Write the following expression in exponential form: 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
[tex]4.5^{7}[/tex]
Step-by-step explanation:
Just count how many 4.5 there are.
4.5^7
jwnnd jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc
A friend owes $10,000 on his credit card. He plans to stop making charges and pay off the balance. The card has a minimum payment of 5%. He figures correctly that 5% of $10,000 is $500. From that he concludes that he needs to make the 5% minimum payment for only 20 months Is your friend right? If not, explain the error in his reasoning.
Answer:
yes he is correct
Step-by-step explanation:
10000x0.05=500 so thats correct
he will pay 500 for 20 month= 10,000
A professor holds office hours during final exam week and discovers much to his dismay that his sudden popularity affords him little time to engage in his favorite activity, watching cat videos. Fifteen students per hour arrive at his office and he patiently answers questions, averaging three minutes per student. On average, how many students are waiting to ask questions?
Answer:
There are no student waiting to ask questions
Step-by-step explanation:
The number of students that arre
The arrival rate of the student, λ = 15/hr
The number of minutes spent per student, W = 3 minutes
The number of students waiting to ask questions, 'L', is given by Little's law as follows;
L = λ·W
Where;
L = The number of students in the system
λ = The arrival rate = 15 students/hour
W = The average time spent in the system = 3 minutes = 1/20 hour
∴ L = 15 student/hour × (1/20) hour = 3/4 Students
Given that the number of students waiting to ask questions is a fraction, less than 1, we round down, and there are therefore no student waiting to ask questions
What is the equation of the line, in slope-intercept form, that passes through the
points (-2, -2) and
and (4, — 3)?
Answer:
y = [tex]\frac{-1}{6}[/tex]x - [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
1. Find the slope -3- -2 / 4 - -2 so -3+2/4+2, -1/6 so m = -1/6
2. Find y intercept (b) y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b
b = -2-1/3, b = -6/3 - 1/3, so b = -7/3
3. Put it all together y = mx + b so y = -1/6x -7/3
If the sum of two numbers is 10 and the diffference is 6, find the numbers
X + y = 10
Rewrite as y = 10-x
Y - x = 6
Replace y
10-x -x = 6
Simplify:
10-2x = 6
Subtract 10 from both sides:
-2x = -4
Divide both sides by -2:
X = 2
Now replace x in the first equation:
2 + y = 10
Subtract 2 from both sides:
Y = 8
The two numbers are 8 and 2
BRAINLIEST STARS
7)
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of NOT picking a
green marble out of the bag randomly?
A)
0
B)
1/2
C) 1/5
D)4/5
Answer:
that should be D
Step-by-step explanation:
Its D because there are to many other colors
Find the value of, x/2 + x/3 + x/6
potrzebuję na teraz pls
Answer:
sywuwyqiqjkasa
Step-by-step explanation:
Yueyeiwwiwieiei2i2i2i
Martina is currently 18 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey . Use this information to answer the following questions.
If you let x represent Joey's current age, what expression can you use to represent Martina's? PLEASE HELP
current age?
Answer:
The age of Joey is 4 years and
The age of Martina is 22 years .
Step-by-step explanation:
Given as :
Martina is 18 years older than her Joey
In 5 years, Martina will be three times older than Joey
Let The age of Martina = M years
And The age of Joey = J years
Now, According to questions
M = J + 18 ........1
(M+5) = 3 × (J+5)
Or, M + 5 = 3 J + 15
Or, M - 3 J = 15 - 5
∴ M - 3 J = 10 ..........2
Solving eq 1 and 2
Put the value of M from eq 1 into eq 2
So, (J + 18) - 3 J = 10
Or, J - 3 J = 10 - 18
Or, - 2 J = - 8
∴ J =
i.e J = 4 years
So, The age of Joey = J = 4 years
Now, Put the value of J in eq 1
So, M = J + 18
Or, M = 4 + 18
∴ M = 22 years
So, The age of Martina = M = 22 years
Hence,The age of Joey is 4 years and The age of Martina is 22 years . Answer
THE TEACHER WONT HELP ☺️ pls
answer:
2/5=0.4
2/5=40%
step-by-step explanation:
to get 2/5 as a decimal you can simply just divide 2÷5 which is 0.4
and from there you can use 0.4 to find the percentage multiply 0.4 x 100 which is 40
good luck :)
hopefully, this helps
have a great day !!
The shorter leg of a right triangle is 10 meters. the hypotenuse is 2 meters longer than the longer leg. Find all three sides
Answer:
the shorter leg is 10 meters, longer leg is 24 meters and the hypotenuse is 26 meters
Find the equation of the line through (-5,4) which is parallel to the line y=-x+6.
Give your answer in the form y=mx+b
Answer:
[tex]y = -x -1[/tex]
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
[tex]m = -1[/tex]
The line equation is then calculated as:
[tex]y=m(x - x_1) + y_1[/tex]
Where
[tex]m = -1[/tex]
[tex](x_1,y_1) = (-5,4)[/tex]
So:
[tex]y = -1(x - (-5)) + 4[/tex]
[tex]y = -1(x +5) + 4[/tex]
[tex]y = -x -5 + 4[/tex]
[tex]y = -x -1[/tex]
7 x 4 - 20
Answer this 2 mins later (timer on math probs)
Answer:
I think answer is 8.....
Which example models a negative integer A.Students in a classroom B. The age of a parent C. Money lost from a pocket D. the height of a tree
Answer:
C- Money lost from a pocket
Step-by-step explanation:
It would be C because something is decreasing ( now a negative) from what they did have.
[tex]12.5=n-1.5[/tex]
Answer:
n=14
Step-by-step explanation:
12.5=n-1.5
-n=-1.5-12.5
-n=-14
n=14
What is the sum (2 – 3i) + (-4-2i) ?
The sum of the complex numbers (2 – 3i) and (-4-2i) is -2 - 5i.
Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation [tex]i^2[/tex] = -1. The real part of a complex number is denoted by Re(z) = a, and the imaginary part is denoted by Im(z) = b.
Complex numbers can be added, subtracted, multiplied, and divided in a similar way to real numbers. The addition and subtraction of complex numbers is done by adding or subtracting the real and imaginary parts separately.
To find the sum of complex numbers, we add their real parts and their imaginary parts separately. Let's calculate the sum of the given complex numbers:
(2 - 3i) + (-4 - 2i)
Real part: 2 + (-4) = -2
Imaginary part: (-3i) + (-2i) = -5i
Therefore, the sum of (2 - 3i) + (-4 - 2i) is -2 - 5i.
Learn more about Complex numbers here:
https://brainly.com/question/20566728
#SPJ6
Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?
Answer:
j
Step-by-step explanation:
jj
A bookstore has 45 copies of a bestseller available on Saturday morning. Twenty-one customers purchase the book that day. On Monday, a shipment of 25 books arrives and 14 copies are sold. Which statements are correct?
Answer:
Need to see the statements
Step-by-step explanation:
so what would the answer be to 2/3 x 6/7
Answer:
4/7
Step-by-step explanation:
Given function:
2/3·6/7Cross multiply:
6=2 and 3=1Rename:
2/1·2/7Multiply the terms:
2/1·2/7=4/7Therefore, 2/3·6/7 is 4/7..
Answer:
4/7
Step-by-step explanation:
1. you multiply
2/3 x 6/7 equals 2 x 6 and 3 x 7 equals 12/21
Multiply the denominator and numerator
2. simplify
12/21 equals 4/7
a) work out the size of angle x
b) give reasons for your answer
Answer:
angle B=100 degrees
vertically opposite angle
angle B +x= 180 degree
100-180=x
80 degree =x
Answer:
x = 80°
Step-by-step explanation:
GIVEN :-
AD ║ EHCG as transversal∠CBD = 100°∠EFB = x°TO FIND :-
The measure of x°PROCEDURE :-
∠CBD + ∠FBD = 180° (∵ ∠CBD & ∠FBD form a linear pair )
⇒ ∠FBD = 180° - 100° = 80°
Also,
∠FBD = ∠EFB (∵ Alternative Interior Angles are equal )
⇒ x = 80°
Jeff had $20. He spent 18 of his money on lunch and 25 of his money at the movies.
How much money does Jeff have left?
A. $5.50
B. $7.00
C. $8.25
D. $9.50
How many feet are in half a mile?
Answer:
answer below:)
Step-by-step explanation:
There are 5280 feet in one mile. So, half a mile is equal to 0.5 x 5280 = 2640 feet.
Plz help it’s missing
....................
Answer:
6. the number placed in thousand place 95,184 is 1
7. the cube of 2 and 3 is 27-8is 19
8. The divisor is 4
9. 25
10. the prime number is 13
Answer:
6. 95,000
7. I can't read it
8. I cant read that either
9. 5 pounds
10. 14
Step-by-step explanation:
Select the Ratio that is not equivalent to the rest.
25 points
12:25
6:15
14:35
2:5
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7)
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that [tex]a = 50, b = 52[/tex]
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.
[tex]P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1[/tex]
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
ANSWER QUICK PLEASE
The city of Eastville has 32,000 people and the city of Lakeside has 56,000 people. Eatsville is gaining 600 people each year. Lakeside is losing 1000 people each year. How many years will it take for both cities to have the same amount of residents?
Answer:
15 years
Step-by-step explanation:
Create an equation where x is the number of years
32,000 + 600x = 56,000 - 1000x
Solve for x:
600x = 24,000 - 1000x
1600x = 24,000
x = 15
So, it will take 15 years for both cities to have the same number of residents
Answer: answer is x=15
Step-by-step explanation:
A parallogram is ______________ a rectangle.
a
sometimes
b
always
c
never
Answer:
sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram
Step-by-step explanation:
it has two parallel pairs
HELP WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST ANSWER
5x+7y+12.5+6y+1x+5
Answer: 6x + 13y + 17.5
Step-by-step explanation: