Answer:
24 ajsndkalxndma skwma wjlslaos ndnajala
-4x^2-5x=-9 please show a step by step answer
We can solve the quadratic equation using factorization method.
First, let's re-write the equation:
[tex]\begin{gathered} -4x^2\text{ - 5x = -9} \\ \text{divide through by -1 } \\ 4x^2\text{ + 5x = 9} \\ Re-\text{arranging, we have} \\ 4x^2\text{ + 5x - 9 = 0} \end{gathered}[/tex]Next, we try to factorize the expression by the left:
[tex]\begin{gathered} 4x^2\text{ - 4x + 9x - 9 = 0} \\ (4x^2\text{ - 4x) + (9x - 9) = 0} \\ 4x\text{ (x - 1) + 9(x -1)}=0 \\ (4x\text{ + 9)(x - 1)}=0 \end{gathered}[/tex]Next, we equate each factor to zero to find the value of x
[tex]\begin{gathered} 4x\text{ + 9 = 0} \\ 4x\text{ = -9} \\ \text{x = }\frac{-9}{4} \\ x\text{ - 1 = 0} \\ x\text{ = 1} \end{gathered}[/tex]We can conclude that :
[tex]x\text{ = 1 or }\frac{-9}{4}[/tex]We can also do a check by substituting the value of x back into the equation:
[tex]undefined[/tex]What is the length of XY
SolutionSoltuion:
From the question, the given value id
[tex]\begin{gathered} XQ=3 \\ XR=RW \\ XR+RW=XW \\ XQ=QY \\ XQ+QY=XY \end{gathered}[/tex]By applying the theorem above, we will have the value of XY be
[tex]\begin{gathered} XQ+QY=XY \\ XQ=3 \\ QY=3 \\ XY=3+3 \\ XY=6 \end{gathered}[/tex]Hence,
The final answer = 6
I need help please
Step-by-step explanation:
To help, but not give the answer so you can learn to do this:
To find the slope, choose any two points on the graph (no really IT DOESN'T MATTER WHICH ONE). Use the equation y-y/x-x to get the slope.
Ex. 8-3/5-1=4/3
(NOTE: Always write your answer as either an improper fraction or a whole number!)
To find the distance, go across the x-axis, however many units away the closest point is to your chosen point. Then, go across the y-axis for the required # of units. Next, find the total number of the x and y units. You can also subtract the smallest coordinate from the greatest if the two ordered pairs are in the same quadrant. If not in the same quadrant, add the coordinates together. If the value of x or y happens to be the same as your chosen coordinate, find the sum of the two numbers that are equal, or subtract if in the same quadrant.
Also, in case you have another question relating to the same line, the given line is NOT proportional. Just in case, though!
I hope this helps you with your question!
(Happy Halloween! )
Movie theaters keep track of how many tickets they sell. For the 5:30 showing, the theater
sold a total of 272 adult and student tickets and took in a total of 1694 dollars. If adults
tickets sold or 7 dollars and students sold for 4 dollars each how many of each type were sold
for the 5:30 show.
As a result, we deduce that 101 tickets were sold to adults and 171 to students after solving the algebraic equations.
What are Algebraic equations ?The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.
So on the information provided to us:
we know that the total amount of the tickets sold =1694$
total no. of people = 272
Lets assume the no. of kids to be y and the adults to be x
So the first equation we get for the total no. of people is:
x+y=272...(i)
the next equation we get for the total amount of tickets sold will be equal to the no. of adults and children multiplied by the cost of each adult and child respectively :
7x+4y=1694....(ii)
Two solve both equations simultaneously , we multiply equation i with 4
we get:
4x+4y=1088
7x+4y=1694
on solving both the equations simultaneously we get
3x=606
x=101
putting value of x in equation (i) we get
y=171
Therefore, we conclude that the no. of tickets sold to adults were 101 and to students were 171.
to learn more about algebraic expressions, click here:
https://brainly.com/question/953809
#SPJ13
25. To make an enclosure for chickens, a rectangular
area will be fenced next to a house. Only three sides
will need to be fenced. There is 120 ft of fencing
material.
X
a. What quadratic function represents the area of the
rectangular enclosure, where x is the distance from the house?
Answer:
y = x(120 -2x)
Step-by-step explanation:
You want the quadratic function representing the area of a rectangular enclosure such that three sides of it have a total length of 120 feet.
AreaThe dimension perpendicular to the house is given as x. There are two length of fence with that dimension, so the remaining fence is (120 -2x). This is the length that can be used parallel to the house.
The area (y) is the product of the dimensions of the enclosure:
y = x(120 -2x)
__
To see more about 3-sided rectangular enclosures, read ...
https://brainly.com/question/28816954
Jeff found that one third bag of popcorn weighed 1/4 lb how many pounds will one full bag of popcorn weigh
Based on the weight of one third bag of popcorn, one bag of popcorn weighs 3/4 lb
How to determine the weight of one bag?The statement is given as
One third bag of popcorn weighed 1/4 lb
This means that
1/3 bag = 1/4 lb
Multiply both sides of the equation by 3
So, we have the following equation
3 * 1/3 bag = 1/4 lb * 3
Evaluate the products
So, we have
3/3 bag = 3/4 lb
Evaluate the quotient
So, we have
1 bag = 3/4 lb
Hence, the conclusion is that the weight of one bag is 3/4 lb
Read more about rate at
https://brainly.com/question/23950205
#SPJ1
PLEASE HELP I WILL GIVE BRAINLYEST! ALGEBRA 1 HW
The average rate of change of helicopters height when it starts descending is : - 630.01 ft/min
Solution:Rate of change between two points,
We calculate the average rate of change by dividing the change in y (output) by the change in x. (input). And all we're doing visually is calculating the slope of the secant line that connects two points.Follow these steps to calculate the rate of change on a graph when given two points on the graph:
Determine the coordinates of the given points.Determine the difference in the output values.Determine the difference in the input values.Determine the ratio of the change in y to the change in x: ΔyΔx.Here in the question ,
Given two points (0 , 8400) and (13.333 , 0)
to find the average rate of change ,
Average rate of change = y2 - y1/ x2 - x1
by substituting values,
Average rate of change = 0 - 8400/ 13.333 - 0
= - 8400 / 13.333
= - 630.01 ft/min
since the helicopter is descending the rate of change will be negative
so the rate of change of helicopters height is - 630.015 ft/min
To learn more about rate of change refer to :
https://brainly.com/question/25184007
#SPJ13
mrs green wants to use wood to make a fence around her circular garden. Her garden has a radius of 16 feet How much wood will she need to enclose her garden?.
ANSWER
100.5 feet
EXPLANATION
The radius of the circular garden is 16 feet.
To find how much wood she would need to make a fence around the garden, we need to find the circumference of the garden.
Circumference can be found using the formula:
[tex]C\text{ = 2}\pi r[/tex]where r = radius
Therefore:
[tex]\begin{gathered} C\text{ = 2 }\cdot\text{ }\pi\cdot\text{ 16} \\ C\text{ = 100.5 ft} \end{gathered}[/tex]She would need 100.5 ft length of wood to enclose the garden.
Let f(x)=x^2−12 and g(x)=13−x.
Perform the composition or operation indicated. (fg)(4)
Answer:
69
Step-by-step explanation:
Rule:
[tex](fg)(x) = f(g(x))[/tex]
So,
[tex](fg)(4) = f(g(4))[/tex]
First solve g(4).
[tex]g(4) = 13 - 4[/tex]
[tex]g(4) = 9[/tex]
Plug g(4) into f(x).
[tex]f(g(4)) = (g(4))^2-12[/tex]
[tex]f(g(4)) = (9)^2-12[/tex]
[tex]f(g(4)) = 81-12[/tex]
[tex]f(g(4)) = 69[/tex]
i need help will give points
x = -16
Explanation:The given equation is:
[tex]3+\frac{x}{-8}=5[/tex]Multiply through by -8 (Equality property of multiplication)
[tex]\begin{gathered} -8(3)+(-8)\frac{x}{-8}=-8(5) \\ -24+x=-40 \end{gathered}[/tex]Add 24 to both sides of the equation (Equality property of addition)
-24 + 24 + x = -40 + 24
x = -40 + 24
x = -16
Therefore, the solution to the equation is x = -16
Find the polynomial function f with real coefficients that has the given degree, zeros, and solution point.
Degree
Solution Point
f(0) = -8
4
Zeros
-4, 1, 1
Polynomial function f with real coefficients that has the given degree, zeros, and solution point is f(x) =2(x⁴ +3x³ -3x²+3x-4).
As given,
Polynomial function f with real coefficients for the given degree, zeros, and solution point is:
Degree 4
Solution Point f(0) = -8
Zeros -4, 1, i
f(x)=k(x +4)(x -1)(x -i)(x +i)
=k (x² + 3x -4) (x² -i²)
=k(x² + 3x -4) (x² +1) ___(1)
Solution point f(0) =-8
-8 =k(0² +3(0) -4)(0² +1)
⇒ k=2
Substitute k=2 in (1)
f(x) =2(x² + 3x -4) (x² +1)
=2(x⁴ +3x³ -3x²+3x-4)
Therefore, polynomial function f with real coefficients that has the given degree, zeros, and solution point is f(x) =2(x⁴ +3x³ -3x²+3x-4).
The complete question is:
Find the polynomial function f with real coefficients that has the given degree, zeros, and solution point.
Degree 4
Solution Point f(0) = -8
Zeros -4, 1, i
Learn more about polynomial function here
brainly.com/question/12976257
#SPJ1
First person to answer this will get brainilest
Find the area of each figure.
A car rental agency charges $150 per week plus $0.30 per mile to rent a car. Express the weekly cost to rent the car, f, as a function of the number of miles driven during the week, x.
If the number of miles driven is 'x', then the weekly cost to rent a car f(x) is:
[tex]f(x)=0.3x+150[/tex]the cities A B C in respective order lie approximately in a straight line. the distance from city a ti b is 100miles. the distance from city A to city C is 110miles. find the distance from city b to city c
Based on the distance between Cities A and B and also cities A and C, and the fact that the cities are on a straight line, the distance between City B and City C can be found to be 10 miles
How to find the distance?The distance between cities A and B and cities A and C are related because they are on a straight line.
This means that the distance between cities A and B and cities A and C can be used to find the distance between cities B and C and also the distance between cities A and B and cities B and C can be used to find the distance between A and C.
To find the distance between cities B and C, formula is:
= Distance between cities A and C - Distance between cities A and B
= 110 - 100
= 10 miles
Find out more on distance at https://brainly.com/question/2854969
#SPJ1
fourteen less than three fourth of a number is negative eight. find the number . translate each sentence into an equation and solve
Answer: n = 8
Step-by-step explanation:
Let the number be n:
The equation is:
[tex]\frac{3}{4}[/tex]n - 14 = -8
Now to solve:
[tex]\frac{3}{4}[/tex]n - 14 + 14 = -8 + 14
[tex]\frac{3}{4}[/tex]n = 6
[tex]\frac{4}{3}[/tex]×[tex]\frac{3}{4}[/tex]n = 6×[tex]\frac{4}{3}[/tex]
n = 8
Drag a statement or reason to each box to complete this proof.
Given: the measure of angle A B D equals 60 degrees. The measure of angle D B C equals 40 degrees. Prove: triangle A B C is an obtuse triangle. Art: triangle A B C with horizontal base B C is drawn. A bisector B D is drawn on A C. The bisector divides A C into two parts A D and D C.
1. m∠ABD = 60°, m∠DBC=40° Given
2. m∠ABD + m∠DBC = m∠ABC ________
3. ______ Substitution Property of Equality
4. ______ Simplifying
5. ∠ABC is an obtuse angle. _________
6. △ABC is an obtuse triangle. Definition of obtuse triangle
Boxes needed to put in _________
100° = m∠ABC
60° + 40° = m∠ABC
Definition of obtuse angle
Angle Addition Postulate
The table to complete the proof is as follows
Equation statement
1. m∠ABD = 60°, m∠DBC=40° Given
2. m∠ABD + m∠DBC = m∠ABC Angle Addition Postulate
3. 60° + 40° = m∠ABC Substitution Property of Equality
4. 100° = m∠ABC Simplifying
5. ∠ABC is an obtuse angle. greater than 90 degrees
6. △ABC is an obtuse triangle. Definition of obtuse triangle
What is obtuse angles?When an angel is greater than 90 degrees the angle is said to be an obtuse angle.
For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.
Read more on angles here: https://brainly.com/question/25716982
#SPJ1
Scientists determined that Alaska's average winter was -30.2C. The difference between this temperature and Alaska's highest recorded temperature was 50.33 degrees. What was Alaska’s highest recorded temperature?
*
Answer: -82.2
Step-by-step explanation:
(5+6) + what = 5 + (6+2)
Answer:
total is 13. so 5+6 = 11 and total is 13 so 13 - 11 = 2
A triangle has side lengths of,x, x+1, and 11. Find each side length when the perimeter is 30 inches
The sides of the triangle whose perimeter is 30 are given by-
[a] = 9 , [b] = 10 , [c] = 11.
What is the perimeter of triangle?
The perimeter of triangle is the sum of its sides. Mathematically -
Perimeter [P] = a + b + c
Given is a triangle whose side measurements are x, x + 1, and 11. The perimeter of triangle is 30 inches.
From the definition of the perimeter of a triangle -
Perimeter = sum of its sides
x + (x + 1) + 11 = 30
x + x + 1 + 11 = 30
2x + 12 = 30
2x = 18
x = 9
Now -
Length of side 1 = [a] = 9
Length of side 2 = [b] = 10
Length of side 3 = [c] = 11
Therefore, the sides of the triangle whose perimeter is 30 are given by-
[a] = 9 , [b] = 10 , [c] = 11.
To solve more questions on triangle's, visit the link below-
https://brainly.com/question/15034576
#SPJ1
please help !!!!!!!!! THANK YOU
For the give question;
The given line is; -2x + 3y = 6
Write the equation in slope intercept form; y = mx + c.
-2x + 3y = 6
3y = 2x + 6
y = (2/3)x + 2
Slope m₁ = 2/3 and y intercept is 2.
For the relation of slope;
Parallel line : m₁ = m₂Perpendicular line: m₁×m₂ = -1Part a: -3x - 2y = 4
Write the equation in slope intercept form;
-2y = 3x + 4
y = (-3/2)x - 2
m₂ = -3/2
m₁ ≠ m₂ as 2/3 ≠ -3/2
m₁×m₂ = 2/3 × -3/2 = -1
Thus, the both lines are perpendicular.
Part b: -2x + 3 y = -6
Write the equation in slope intercept form;
3y = 2x - 6
y = (2/3)x - 2
m₂ = (2/3)
m₁ = m₂
Thus, both lines are parallel.
Part c: 2x + 3y = 6
Write the equation in slope intercept form;
3y = -2x + 6
y = (-2/3)x + 2
m₂ = -2/3
m₁ ≠ m₂ as 2/3 ≠ -2/3
And, m₁×m₂ = 2/3 × -2/3 ≠ 1
Thus, lines are neither parallel not perpendicular.
Part d: -2x + 3y = 0
Write the equation in slope intercept form;
3y = 2x
y = 2/3 x
m₂ = 2/3
m₁ = m₂
Thus, both lines are parallel.
To know more about the slope of the line, here
https://brainly.com/question/16949303
#SPJ13
Arielle is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 2 3/4 minutes. If she continues at this rate, where will Arielle be in relation to the rim after 15 minutes
First, determine the speed of Arielle by calculating the quotient in between 55 ft and 2 3/4 minutes. To find the quotient, convert the mixed number to a normal fraction before:
[tex]2\frac{3}{4}=2+\frac{3}{4}=\frac{8+3}{4}=\frac{11}{3}[/tex]then, calculate the speed:
[tex]v=\frac{55}{\frac{11}{3}}=\frac{\frac{55}{1}}{\frac{11}{3}}=\frac{55\cdot3}{11\cdot1}=\frac{165}{11}=15[/tex]then, the Arielle's speed is 15 ft/min
next, find the distance traveled by Arielle in 15 min, by using the previous result:
[tex]d=v\cdot t=(15ft/\min )(15\min )=225ft[/tex]Hence, in relation to the rim, Arielle will be at 225 ft
What’s the correct answer answer asap for brainlist
The skeletal muscle can fatigue with too much movement or exercise.
what is skeletal muscles?Skeletal muscle, in contrast to smooth muscle and cardiac muscle, is controlled voluntarily. Skeletal muscle is striated, similar to cardiac muscle; it has long, thin, multinucleated fibers that are crossed in a regular manner by fine red and white lines that give the muscle its unique look. Myofibrils, which are made up of sarcomeres joined in series, make up muscle fibers. The arrangement of actin and myosin filaments, which results in the banding pattern of myofibrils, produces the striations of skeletal muscle. The ability of muscular tissue to contract is special. Only the skeletal muscle can be controlled voluntarily out of the three types of muscles (skeletal, smooth, and cardiac).To more learn about skeletal muscle refers to:
https://brainly.com/question/12252128
#SPJ13
7. Let A=(8,9,10,11,12,13).
n=
a. How many subsets does A have?
b. How many proper subsets does A have?
subsets.
a. A has
(Type a whole number.)
b. A has
(Type a whole number.)
proper subsets.
a. A has 64 subsets.
b. A has 63 proper subsets.
What are subsets and proper subsets?If all of the items of Set A are also present in Set B, Set A is said to be a subset of Set B. Set A is, in other words, contained within Set B.
If Set B has at least one element that is not present in Set A, Set A is considered a proper subset of Set B.
If a set has "n" members, the number of subsets of that set is 2ⁿ, and the number of proper subsets of that subset is 2ⁿ-1.
Given:
Set A=(8,9,10,11,12,13)
Number of elements in the given set,n = 6
a. Number of subsets of A = 2ⁿ = 2⁶ = 64
b. Number of proper subsets of A = 2ⁿ-1 = 2⁶-1 =63
To know more about sets visit:
https://brainly.com/question/23454979
#SPJ13
How do we get our voice?
Answer: The lungs provide the airstream which powers human voice. As air is pushed up the windpipe from the lungs, the larynx, which is made up of two vocal folds, opens and closes to produce vibrations. These vibrations are carried through to the throat, nose, and mouth, which act as resonators- morphing the vibrations into distinct human sounds.
Step-by-step explanation:
Answer:
Our vocal cords gve us our voice.
Step-by-step explanation:
The vocal folds (cords) produce sound when they come together and then vibrate as air passes through them during exhalation of air from the lungs. This vibration produces the sound wave for your voice.
help meeeeee
8 Answer:
Evaluate the expression (2y)3 when y = 3.
9 Answer:
Evaluate the expression x2 + y when x = 4 and y = 3.
10 Answer:
Evaluate the expression (a + b)3 when a = 3 and b = 5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Equation \#1.}[/tex]
[tex]\mathsf{(2y)^3}\\\mathsf{= (2(3)^3}\\\mathsf{= (6)^3}\\\mathsf{= 6^3}\\\mathsf{= 6\times6\times6}\\\mathsf{= 36\times6}\\\mathsf{= 216}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{216}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Equation \#2.}[/tex]
[tex]\mathsf{x^2 + y}\\\mathsf{= 4^2 + 3}\\\mathsf{= 4\times 4 + 3}\\\mathsf{= 16 + 3}\\\mathsf{= 19}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{19}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Equation \#3.}[/tex]
[tex]\mathsf{(a + b)^3}\\\mathsf{= (3 + 5)^3}\\\mathsf{= (8)^3}\\\mathsf{= 8^3}\\\mathsf{= 8\times 8 \times 8}\\\mathsf{= 64\times8}\\\mathsf{= 512}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{512}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
At American High School, there is a 25.5% probability a randomlyselected student is an honor roll student, while there is a 37%probability that a randomly selected student is a varsity athlete.The probability that a student is an honor roll student and avarsity athlete is 6%.
Given,
probability of randomly selected student is an honor roll student,
[tex]\frac{25\cdot5}{100}=0\cdot255[/tex]probability of randomly selected student is a varsity athlete,
[tex]\frac{37}{100}=0\cdot37[/tex]The probability of the student is an honor roll student and a
varsity athlete,
[tex]\frac{6}{100}=0\cdot06[/tex]The probability of multiple events is,
[tex]0.255\times0.37\times0.06=0.005661[/tex]0.005661
The wholesale price for a shirt is 6.50. A certain department store marks up the wholesale price by 80%. Find the price of the shirt in the department store.
Round your answer to the nearest cent, as necessary.
The new price of the shirt is $11.70
How to determine the price of the shirt in the store?The given parameters are
Price = 6.50
Make up percentage = 80%
The price of the shirt in the store is calculated as
New price = Old price + Old price * Make up percentage
Substitute the known values in the above equation
So, we have the following equation
New price = 6.50 + 6.50 * 80%
Evaluate the product
So, we have the following equation
New price = 6.50 + 5.20
Evaluate the sum
So, we have the following equation
New price = 11.70
Hence, the price of the shirt in the store is $11.70
Read more about markup at
https://brainly.com/question/1153322
#SPJ1
Write an equation to represent the word problem. Then solve it.
←
Dinh has 3 more patients to care for than Juan. If Dinh has 17 patients to ca
The equation is
(Type an equation using x as the variable. Do not evaluate.)
Juan has to care for
patients.
0
We get that Juan has 14 patients to care for.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Let Juan has x patient to care for.
Therefore according to the question Dinh has x + 3 patients to care for.
Therefore,
The equation is x + 3= 17
=> x = 17 -3
=> x = 14
To learn more about linear equation click on the link below:
https://brainly.com/question/15845993
#SPJ1
Brian is driving on a highway. He uses one gallon of gas every 40 miles he drives. The distance, D (in miles), he travels on g gallons of gas is given by the following function.
D (g) = 40g
How far does Brian drive if he uses 4 gallons of gas?
Help please…..?
Number 3 and 4 only
Answer:
3. You determine the sign of a number when you add a negative number and a positive number by taking the signn of the bigger number. For example -4+3 is -1 because the negative number is bigger than the positive so it takes its sign
4. you can make the number possible by making the number negative