Answer:
x=2
Step-by-step explanation:
axis of symmetry is
x-2=0
or
x=2
Answer:
Graph B. On a coordinate plane, a vertical dashed line at (2, 0) is parallel to the y-axis.
Will give 50 points for answer to this question
A solution contains 8% salt. How much pure water should be added to 25 ounces of the solution to dilute it to a 3% solution? Round to the nearest hundredth if needed.
41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of pure water needed to dilute the solution. Hence:
8% * 25 = 3% * (x + 25)
2 = 0.03x + 0.75
x = 41.67 ounce
41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution
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If y = –0.96 when x = 2.4, what is y when x = 2.9?
Answer:
It should be -1.16
Step-by-step explanation:
Hope this helps :)
Select the correct answer from each drop-down menu. The graph represents the piecewise function.
The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The function can be defined as
The parabolic equation will be
f(x) = x²
The equation of the absolute function will be
f(x) = |x - 6| + 4
Then we have
[tex]f(x) = \left\{\begin{matrix}y=x^2 & 0\leq x < 3 \\\\y=-x+10 & 3 < x\leq 6 \\\\y=x+2 & 6\leq x \leq 10 \\\end{matrix}\right.[/tex]
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Isabel’s competition who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. Graph the function in part e. Is your graph discrete or continuous? Explain.
Answer:
x= 1.99
f(x) = 1.99x + 3
Step-by-step explanation:
Hope this helps! (;
Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?
Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.
Proof for a quadrilateral
A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.
According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;
See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocalChecking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.
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Help please with me math!!
Answer:
17.3
Step-by-step explanation:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Find the difference between coordinates:
(x2 - x1) = (-9 - 8) = -17
(y2 - y1) = (-6 - -3) = -3
Square the results and sum them up:
(-17)^2 + (-3)^2 = 289 + 9 = 298
Now Find the square root and that's your result:
Exact solution: √298 = √298
Approximate solution: 17.2627
The product of two numbers is 5, if their sum is 9/2. What are the numbers? with detail explaniation
Answer: The numbers are 2 and 2.5
Explanation:
Let one number be "x" and another "y", Note: 9/2 = 4.5 [in decimal form]
[tex]\rule{185}{2}[/tex]
Their product :
[tex]\hookrightarrow \sf x \ \cdot \ y = 5[/tex]
[tex]\hookrightarrow \sf x = \dfrac{5}{y} \quad \ \ \leftarrow \quad equation _1[/tex]
Their sum :
[tex]\hookrightarrow \sf x + y = 4.5[/tex]
[tex]\hookrightarrow \sf x = 4.5-y \quad \ \ \leftarrow \ equation_2[/tex]
Solve them simultaneously:
[tex]\rightarrow \sf 4.5 - y = \dfrac{5}{y}[/tex]
cross multiply
[tex]\rightarrow \sf y(4.5 - y) = 5[/tex]
distribute inside parenthesis
[tex]\rightarrow \sf -y^2 +4.5y - 5 = 0[/tex]
multiply by -1
[tex]\rightarrow \sf y^2 -4.5y + 5 = 0[/tex]
factor them out
[tex]\rightarrow \sf ( y - 2.5)(y - 2)= 0[/tex]
set to 0
[tex]\rightarrow \sf y = 2.5, \ 2[/tex]
Another number:
When one number is 2.5, then another: 4.5 - 2.5 = 2
When one number is 2, then another: 4.5 - 2 = 2.5
Hence, the numbers are 2.5 and 2
Check:
Product: 2 × 2.5 = 5Sum: 2 + 2.5 = 4.5 or 9/2The numbers obtained by the given condition that the product of two numbers is 5 if their sum is 9/2 will be x =( 2 or 5/2) and y = ( 2 or 5/2).
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the first number is x and the second is y then
Product xy = 5
Sum x + y = 9/2
substitute y = 9/2 - x into first
x( 9/2 - x) = 5
2x² - 9x + 10 = 0
2x² -5x -4x + 10 = 0
x( 2x - 5 ) -2( 2x -5 ) = 0
(x -2)(2x -5) = 0
x =2 and x = 5/2
Corresponding to x y will be y = 2 and y = 5/2.
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What is the mean in a math problem
Answer:
the mean is the average of a set of numbers
Step-by-step explanation:
for example, if a set of numbers were 1,2, and 3, the mean would be 2 because the average is 2.
This can be calculated by adding 1, 2, and 3, and dividing them among all three numbers
1+2+3 = 6
6/3 =2
there are three numbers in the data set that we were trying to get the mean from
give brainliest, please! hope this helps :)
Answer:
generally, the sum divided by the number of summands
Step-by-step explanation:
In math the term "mean" can have different meanings, depending on the context. It will generally refer to the arithmetic mean, if no additional qualifiers are given. The arithmetic mean is also called the average.
__
arithmetic meanThe arithmetic mean of a set of numbers is their sum, divided by the number of numbers. It is sometimes represented by the Greek letter μ or a variable with an overbar.
[tex]\overline{x}=\dfrac{x_1+x_2+\dots +x_n}{n}[/tex]
geometric meanThe geometric mean will be the n-th root of the product of n numbers.
[tex]\text{geometric mean}=\sqrt[n]{x_1\cdot x_2\dots\cdot x_n}[/tex]
harmonic meanThe harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
[tex]\text{harmonic mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dots+\dfrac{1}{x_n}}[/tex]
proportionIn a proportion written as ...
a/b = c/d
The two values closest to the middle of the expression (b and c) are called the "means". Those farthest away (a and d) are called the "extremes". It is said that ...
the product of the means is equal to the product of the extremes
Solve for x
10
*
90⁰
26
Answer:
x=24
Step-by-step explanation:
x=√(26)²-(10)²
x=√676-100
x=√576
x=24
Which represents the inverse of the
function f(x) = 4x?
• h(x) = X + 4
O h(x) = x - 4
O h(x) = 3/4x
O h(x) = 1/4X
Answer:
Step-by-step explanation:
Evaluate the expression.
Find the value of n in the following
equation. Give your answer as a
decimal.
n+3.1:6.4= 96
Solve the system of equations.
4x - 2y = 8
3x + 4y = 17
A. (2, 0)
B. (7, -1)
C. (3, 2)
D. (4, 4,)
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
Answer:
Step-by-step explanation:
8x - 4y = 16
3x + 4y = 17
11x = 33
x = 3
12 - 2y = 8
-2y = -4
y = 2
(3, 2)
answer is C
Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.
By using the given ratio, we will conclude that she made 24 baskets.
how many baskets did she make?
We know that the ratio of the number of baskets she missed to the number of baskets she made is 3:8.
This means, for each 3 missed baskets, she made 8.
Here we know that she missed 9. If we divide that by 3, we get:
9/3 = 3.
This means that she missed 3 baskets 3 times. And for each one of these 3 times she makes 8 baskets (for the given ratio).
Then we conclude that she makes 8*3 = 24 baskets.
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Find the solution set for |2x-3|=9
Answer:
x = 6, -3
Step-by-step explanation:
. . . . . . . . . . . . . . . . .
Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below
Answer:
12x7 4 times add it up u got the anwser
Just a little help :,(
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about
if i spent 35 dollars every 2 weeks how much money would i have spent in a year
Answer:
$910
Step-by-step explanation:
there are 52 weeks in a year
52/2 = 26
if someone spends 35 every two weeks then
35x26=910
Answer:
840$
Step-by-step explanation:
2*2= 1 month (4weeks)
35*2= 70
70*12 (months of the year) = 840$
Mario is making 12 dozen cookies. Each dozen requires
3
5
cup of flour. How many total cups of flour does Mario use?
Answer:
7 1/5 cups of flour
Step-by-step explanation:
divide 3/5 which is 0.6 then multiply that by 12, which is 7.2
then convert that into a fraction which is 7 1/5
Match the polynomial on the left with the corresponding polynomial on the right.
Add: (3x − 2x² + 4) + (x² - 4x - 5)
-
Find the opposite of: 3x² - x + 1
Subtract: (x² + 3x-4) - (4x-2x²-3)
-3x²+x-1
-x²-x-1
3x²-x-1
3x²+x-1
4x² - 6x 1
The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
a)Given polynomials;
⇒(3x − 2x² + 4) + (x² - 4x - 5)
⇒− 2x²+x²+3x-4x+4-5
⇒-x²-x-1
b)The opposite of the given polynomial is found by changing the sign in the polynomial as;
⇒3x² - x + 1
⇒(-3x²) -(- x) + (-1)
⇒-3x²+x-1
c)The subtraction operation in the polynomial is found as;
(x² + 3x-4) - (4x-2x²-3)
(x²-2x²)+(+3x-4x)+(-4+3)
-x²-x-1
Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
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hi people ~
can you give me eassy on WORLD AGAINST CHILD LABOUR I need 80 word I already write this but I want 80 word more please give me your own choice on WORLD AGAINST CHILD LABOUR thnks
Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.
This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.
☆...hope this helps...☆
_♡_mashi_♡_
HELPPPPPPPPP!!!!!!!!!!!
PLEASE HELP ME!!
Use triangle XYZ to answer questions 3-5.
1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
Click the keyboard button to enter your answer.
2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
Click the keyboard button to enter your answer. Show your work.
3)What is the area of triangle XYZ to the nearest tenth of a square in?
The exact height of the triangle is 20.8ft
The area of the right tringle in radical form is 72√3 ft²
The area of the triangle in decimal form is 124.7 ft²
How to find the side and area of a right angle triangle?The side XY or height of the triangle can be found as follows:
Using trigonometric ratios,
tan 60° = XY / 12
XY = 12 tan 60°
XY = 12 × 1.73205080757
XY = 20.7846096908
height = 20.8ft
The area of XYZ = 1 / 2 bh
where
b = baseh = heightTherefore,
The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145 = 124.7 ft²
The area in radical form = 1 / 2 × 12 × 12 tan 60°
The area in radical form = 1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²
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Please help me, I will give brainliest! :)
Answer:
5 + 24x
Step-by-step explanation:
Given phrase - Five more than the product of 24 and a number.
In the given phrase, the word "more" means "addition". Therefore,
⇒ 5 + than the product of 24 and a numberThe word "product" defines multiplication between two numbers. In this case, the product of 24 and a number is 24(number).
⇒ 5 + 24(number)The question stated to use the "n" to represent the unknown number. Let the unknown number be known as "n".
⇒ 5 + 24nTherefore, the expression is 5 + 24n.
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Anne, Bridget, and Sasha shared a sum of money. Anne took 1/3 of the total amount, and Bridget took 1/4 of the remaining money. After both of them had taken their share, Sasha took 1/2 of what was left. If Anne took $160, how much did Sasha take?
Answer:
180
Step-by-step explanation:
160= 1/3 * total
160*3 = total
480 = total
bridget = 1/4(total)
bridget = 1/4(480)
bridget took 120
Sasha took 1/2 of 360
Sasha took $180.
What are the zeros of the quadratic function f(x)=8^2-16-15
Answer:
put formula a square minus b square
Question 4 of 21
What is the value of f(4) in the function below?
f(x) = 1/2 • 2x
Answer:
same rin tayo ganyan rin akin ang hirap
Step-by-step explanation:
good evening po
math homework help - please
It costs $3 for children and $7 for adults to attend a school game. If 5000 people attended the game and the total taking was 25000, determine no. of children and adults that atteneded
Answer:
The number of children is 2500 and the number of adults that attended the game is also 2500.
Step-by-step explanation:
Let us consider that, number of children be x and number of adults be y that attend game.
Since, total 5000 people attend the game.
It costs $3 for children and $7 for adults and the total takings at the door was $25000
Substitute value of x from equation 1 into equation 2.
So that,
Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.
Ms. Lui earned an annual income of 775,000, what is the weekly salary?
Answer:
$14,903.85
Step-by-step explanation:
So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:
[tex]\frac{775000}{52} = 14,903.85[/tex]
Therefore, Ms. Lui earns $14,903.85 a week.
Hope this helps! If you have questions about my work, please leave them in the comments!