The production cost is an illustration of a quadratic function
The equation of the production cost is [tex]y = ax^2 + bx -c[/tex]
How to determine the equationFrom the complete question, we have the following parameters:
Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)Using the instructions in the complete question, the equation of the production cost would be:
[tex]y = ax^2 + bx -c[/tex]
Hence, the production cost is [tex]y = ax^2 + bx -c[/tex]
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What is the solution to the system of equations? (Hint: Use Substitution.)
2 lines Line 1: y equals negative 3 x plus 6 Line 2: y equals 9
Answer:
(-1,9)
Step-by-step explanation:
y = -3x + 6
y = 9
-3x + 6 = 9
-3x = 3
x = -1
y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,
-3(-1) + 6 = 9
(-1,9)
A photograph measures 10 inches wide by 18 inches long. The picture is reduced so that the length is 6 inches, what is the new width?
Answer:
19
Step-by-step explanation:
Answer:
The width would be 3 1/3 inches or 3.333 repeating
Step-by-step explanation:
Since you divide the length by 3, you would also have to divide the width by 3. 10 divided by 3 is 3 1/3 or 3.333 repeating (whichever one you choose).
a 65 foot ladder is leaning against a well. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?
=====================================================
Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
------------------
If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.
The expression 17n + 11 represents the perimeter of the triangle.
Answer:
8n
Step-by-step explanation:
The third side of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n
16x + 2 so what do you think it is tho
Answer:
you can't add them technically because they aren't the same
if it was 2x then you could add them
Last Saturday, Ben and Dominic set up a lemonade stand to help their grandmother use
the lemons from her trees. They used 2 lemons for each cup of lemonade. By the end of the
day, the boys had sold 21 pitchers of lemonade. If each pitcher held 9 cups, how many
lemons did Ben and Dominic use?
Answer:
378 Lemons
Step-by-step explanation:
Because you use 2 lemons for every cup, you first need to find how many lemons per pitcher by multiplying 9 by 2 to get 18, so 18 lemons per pitcher, then multiply that by 21 because that's the total amount of pitchers to get 378 lemons
i need help 30 pionts if u help me!!!!
Two poles meet at the top of the teepee. The angle at which they meet is equal to twice the complement of the angles that the poles form with the ground. What is the measure of the angle at which the two poles meet at the top of the teepee
The measure of the angle at which the poles meet at the top of the tepee is 180 degrees
Complementary anglesComplementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.
The two poles meet at the top of the tepee.
The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,
Complement of the angles that the poles form on the ground = 90°
Then the measure of the angle at which the poles meet at the top of the tepee is as follows:
2(90) = 180°Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees
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What is 1942 divided by 33
Answer: 58.84
Step-by-step explanation: If you use a calculator that's the nroken down part.
Amy will be using a t-chart to find 3 points for this linear function: f(x)= 3x -2. Which chart below is the correct answer for this function. WILL GIVE BRAINLIEST
The points for a linear function are (0, -2), (1, 1) and (2, 4)
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that the relationship between f(x) and x is given by:
f(x) = 3x - 2
When x = 0: f(0) = 3(0) - 2 = -2
When x = 1: f(1) = 3(1) - 2 = 1
When x = 2: f(2) = 3(2) - 2 = 4
The points for a linear function are (0, -2), (1, 1) and (2, 4)
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Answer:
(0, -2) (1, 1) (-3, -11)
Step-by-step explanation:
2) Simplify the expression:
9[m - 3) + 2(-10 + 7m)
Answer:
23m-47
Step-by-step explanation:
Distribute 9 to m and -3
Distribute 2 tp -10 and 7m
9m-27-20+14m
Subtract:
9m-47+14m
Group like terms:
9m+14m-47
Add similar elements 9m+14m=23m:
23m-47
solve 3x^2-18x-7=5 by completing the square
Answer:
x= [tex]\sqrt13 +3[/tex]
Step-by-step explanation:
SOMEONE HELP PLEASEE
Answer:
x = 16 sin 38
Step-by-step explanation:
sin 38 = x/16
Multiply both sides by 16.
16 × sin 38 = x
x = 16 sin 38
Answer:
A. 9.9Step-by-step explanation:
sin 38° = x / 16x = 16 sin 38°x = 9.9 (rounded)which statement best explains whether y= 3x + 5 is a linear or non linear function( 50 POINTS) HURYY PLSS
Answer:
C the 3rd one
Step-by-step explanation:
that's the best explanation for me. I'm sorry if I'm wrong I wish you luck
An item is regularly priced at $40 It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?
12 dollars is discounted off, making the price 28 dollars.
Step-by-step explanation:
10 percent is 4$, 4×3=12
Which polynomial is represented by the algebra tiles? 2x2 – 4x – 6 2x2 4x 6 –2x2 – 4x – 6 –2x2 4x 6.
Polynomials consist of both indeterminates and coefficients. The polynomial that is been represented by the algebra tiles is 2x²-4x -6.
What are polynomials?A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.
In order to find the polynomial that is been represented by the tiles, we will simply, calculate the number of tiles for each variable,
As we can see in the image,
Number of tiles labeled as x² = 2
Number of tiles labeled as -x = 4
Number of tiles labeled '-' = 6
therefore, the polynomial can be written as 2x²-4x -6.
Hence, the polynomial that is been represented by the algebra tiles is 2x²-4x -6.
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Answer:
A. 2x2 – 4x – 6
Step-by-step explanation:
At school, the maximum numer of students that can be in the classroom is 27. If there 20 students signed up for the geometry class, how many more students can join the class?
Answer:
7.
Step-by-step explanation:
Since there is a total of 27 per class, and 20 are already in the class, you can do 27-20= 7 student slots left.
HELP FAST! AND NO LINKS! There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6). AB is transformed to form A'B', which is shown on the graph. Which transformation below caused AB to transform into A'B'?
A. a reflection across the x-axis
B. a counter-clockwise 90 degree rotation about the origin
C. a reflection across the y-axis
D. a translation 3 units down and 7 units left
Answer:
a counter-clockwise 90 degree rotation about the origin
Step-by-step explanation:
Answer:
A reflection across the y-axis.
Step-by-step explanation:
I took the test :)
Please help me I need this please
Answer:
Answer is $3
Step-by-step explanation:
$3 x 0.75 (75%) = $2.25
$3 - $2.25 = $0.75
6 x 2 7 x 2 8 x 2 3 x 3
[tex]6 \times 27 \times 28 \times 23 \times 3 = 312984[/tex]
Answer:
312984
Step-by-step explanation:
To solve the equation 6 x 27 x 28 x 23 x 3, you can follow these steps:
Start by multiplying the first two numbers: 6 x 27 = 162.
Then multiply the result by the next number: 162 x 28 = 4536.
Continue multiplying by the next number: 4536 x 23 = 104328.
Finally, multiply by the last number: 104328 x 3 = 312984.
The final result is 312984
HELP FAST. ILL GIVE BRAINLIST. 100 pts for each answer.
The least common denominator is used to find equivalent fractions. First, determine the missing factor by dividing the least common denominator by the original denominator.
Answer:
See belowStep-by-step explanation:
Equivalent fractions obtained when the fraction is multiplied by a fraction with same numerator and denominator:
5/12 = 5/12 × 12/12 = 60/1447/16 = 7/16 × 9/9 = 63/1441/18 = 1/18 × 8/8 = 8/144Use your calculator to work out
13.7
3.052 + 2.6
Write down your full calculator display.
"The trees are soldiers marching along the drive" Is it an example of personification a metaphor or a simile?
Answer:
Its personification they givin human characteristics to non human thangss
what is the radius of the circle whose equation is x2+y2=18
Answer:
r = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x-a)^2+(y-b)^2=r^2[/tex]
where (a, b) is the center and r is the radius
Therefore, for the equation [tex]x^2+y^2=18[/tex]
a = 0b = 0r² = 18⇒ r = [tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]
There are 96 students in 5th grade. Five-eighths of the students are boys. How many students are
boys?
A. 58 boys
B. 60 boys
C. 62 boys
D. 54 boys
Answer:
The answer is B. 60 boys
Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please
3.6 × 6 long multiplacation
HELP Solve for w x and y
Step-by-step explanation:
take ∆PRT
angle prt = 30°(||sides, traversal, opp angles)
angle ptr = 45+y(|| sides, opp angles)
x+30+45+y = 180
x+y = 180-75= 105
x= 105-y
take triangle zrt
angle zrt =30(parallel sides and traversal with opp angles)
angle ztr = y(parallel lines)
30+y+w = 180
w = 150-y
angle pzt+azr = 360-300+2y=60+2y
pzt= 30+y
triangle pza
30+y + 45+30= 180
y = 180-105=75
w = 75
x=30
Help plssss this is k12!
Which function is equivalent tof(x)=4x2+12x+9?
Question 6 options:
(4x+3)(x+3)
(2x+3)2
(2x−3)2
(4x−3)(x−3)
Answer:
[tex](2x+3)^{2}[/tex]
Step-by-step explanation:
Factor the equation (I got 36 because I multiplied 4x9)
You need to find two numbers that multiple to equal 36 but add to equal 12
6 x 6 = 36
6 + 6 = 12
I used to box method to factor it further into (2x+3)^2
500+6 (3+1)+(8-5) 3-2 (5+4)
Answer:
551
Step-by-step explanation:
500+6(4)+3(1)(5+4)
500+24+3(9)
524+27
551
Brainliest is much appreciated
Answer:
515, just evaluated it
Solve the system
of equation by
using subsitution,
Y=2x +3
x - y = -2
Answer:
The solution to this system of equations is (-1, 1).
Step-by-step explanation:
A system of equations is a "a finite set of equations for which common solutions are sought". Or, they are a pair (or more) of equations that either intersect, are parallel, or the same line. For the sake of simplicity, we are going to focus on systems of equations that intersect and only have one solution.
A solution to a system of equations that intersect is represented by a point (x, y). This makes sense because at the intersection of two points, there lies a point.
So how do we find this point? We do this by solving the system of equations. We show that there exists a point in which two lines can be satisfied simultaneously. But how can we do that? Trial and error?! Well, no. There are some ways of approaching this.
The first method is graphing. By either using an external source or doing it yourself, graphing two lines and showing where they intersect is one of the more understandable ways of solving a system of equations. The point where they cross is the solution of the system.
The second method is elimination. This is observing that a system of equations can be combined together to eliminate a variable (x or y) and solving for the other in a one-variable equation. For example, say that I have this system of equations:
x - y = 1
x + y = 1
By simply adding the two together, I get:
2x = 2
x = 1.
Since we already have x = 1, we can substitute it back into one of the original equations to get y.
1 + y = 1
y = 0.
So, the solution to this system of equations would be (1, 0). Speaking of substituting ...
The third method is substitution. This is observing that a variable (x or y) can be written in terms of the other and then using that to substitute in and make one of the equations one-variable.
y = 2x + 3
x - y = -2
We can see that y is already in terms of x in the first equation, so let's substitute y for 2x + 3 in the second equation.
x - (2x + 3) = -2
- x - 3 = -2
- x = 1
x = -1
We can substitute x back into one of the original equations.
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, the solution to this system of equations is (-1, 1).