On solving the provided question, we can say that - f(x) = 3x2 - 6x + 2, and the value of the equation f(x) = +2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
f(x) = 3x2 - 6x + 2
x = 1
f(x) = +2
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Given points A (1, 5) and B (-7, -5), which of the following coordinates is the midpoint of AB? (-3, 0) (-4, 0) (-2, 0) (4, 0) (2, 0)
Using formula of midpoint of a line, the coordinate of the midpoint is (-3, 0)
What is Midpoint of LineThe midpoint of a line is a point that is equidistant from both endpoints of the line. It can be found by taking the average of the x-coordinates of the two endpoints, and then taking the average of the y-coordinates of the two endpoints. For example, if the two endpoints of a line are (x₁, y₁) and (x₂, y₂), then the midpoint of the line is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
The formula of midpoint of a line is given as;
M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2
Substituting the values into the formula;
M(x, y) = (-7 + 1) / 2, (-5 + 5) / 2
M(x , y) = -6/2, 0/2
M(x, y) = -3, 0
The coordinate of midpoint is (-3, 0)
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ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
I need help asap , this is geometry. I need it solve in the simplest radical form.
let the third side be b then use the pythagoras theorem
Jahnay is following this recipe to make cakes. Jahnay uses 780 g of butter. How many cakes is Jahnay making? Recipe: Makes 1 Cake 120 g sugar 130 g butter 260 g flour 3 eggs
Jahnay is making 6.5 cakes from the given ingredients.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Recipe: Makes 1 Cake = 120 g sugar + 130 g butter + 260 g flour + 3 eggs.
Jahnay is following this recipe to make cakes.
Jahnay uses 780 g of butter.
To find the number of cakes:
Use division operation,
780 ÷ 120,
= 780/120
= 78/12
= 6.5
Therefore, Jahnay makes 6.5 cakes.
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4.75% as a fraction in simplest form
Answer: 19/400
Step-by-step explanation:
4.75% = 4.75/100 (in fractions)
= 475/10000 (multiply by 100 for both the numerator and denominator)
= 19 / 400 (divide by 25 for both the numerator and denominator)
How do I know it is 25 for the last step?
Obtain the highest common factor of 475 and 10000. The highest common factor of these two numbers is 25.
Help me solve solution to the system of equations.
Answer:
[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]
If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose
PLEEEEASE HELP!!!!!
280 AND 245 RS the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs
How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of todayTo learn more about discount price refers to:
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solve number 13 please
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105 .
What is expression ?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
An algebraic expression is made up of a number of variables, constants, and mathematical operations. We are aware that variables have a wide range of values and no set value. They can be multiplied, divided, added, subtracted, and other mathematical operations since they are numbers. as in 3x Plus 4.
Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 6t^4+ 3t³ – 2t² + 5t + 60
I = 3t^4 - 3t³ + 5t² - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 6t^4+ 3t³ – 2t² + 5t + 60 + 3t^4 - 3t³ + 5t² - 5t + 45
{A} = 9t^4 + 3t² + 105
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105
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Toni runs around her school's baseball diamond. Each side is 27 m long. Note: A baseball diamond is square. How far does Toni run? m
Answer:
If we assume she runs around it once and since they tell us its a square: 27x4=108
Step-by-step explanation:
Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.
Answer:
a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)
Step-by-step explanation:
Solutions for graph a, b and c are attached.
a. (x, y) to (3x, y)
A' (-3, -1) B' (3, 2) C' (6, 0)
b. (x, y) to (x, 3y)
A' (-1, -3) B' (1, 6) C' (2, 0)
c. (x, y) to (2x, 3y)
A' (-2, -3) B' (2, 6) C' (2, 0)
REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.
Judi is making a rope ladder. She uses 1/2 yard of for each step. How many yards of rope can she make for step?
The number of yards of rope she can make for the step is 3 yards
How to determine the number of yards of rope she can make for the step?From the question, we have the following parameters that can be used in our computation:
Yards of rope per step = 1/2 yards per step
Total number of steps = 6 steps
The number of yards of rope she can make for the step can then be calculated using the following equation
The number of yards of rope = Total number of steps * Yards of rope per step
Substitute the known values in the above equation, so, we have the following representation
The number of yards of rope = 1/2 * 6
Evaluate
The number of yards of rope = 3
Hence, the number of yards of rope is 3
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Complete question
Judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope?
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
Therefore , the solution of the given problem of angles comes out to be equation : x+ y =85°.
'
An angle is what?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.
Here,
Given :
Let two angles be x and y is
=> x+ y =85°
So, the equation is represented as x+ y =85°.
Therefore , the solution of the given problem of angle comes out to be equation : x+ y =85°.
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Please help me, I need help asap !! I can’t figure it out
5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
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[NEED HELP ASAP] How do I find the surface area of the shape in the picture?
When calculating the surface area of a 3D shape, it is important to remember to include the area of all the components that make up the shape.
How do I find the surface area of the shape in the picture?The surface area of the shape in the picture is approximately 300.4 cm².To calculate this, use the formula for the surface area of a triangular prism, which is SA = 2(bhl) + 2(bh + la).In this case, b = a = 4 cm, h = 12 cm, and l = s = 4.6 cm, so the calculation is SA = 2(4 x 12 x 4.6) + 2(4 x 4.6 + 4 x 12) = 300.4 cm².To calculate the surface area of the shape in the picture, you need to first calculate the area of the rectangle, triangle and circle.The rectangular portion has a height of 12 cm and a length of 4 cm, so the area is 48 cm^2.The triangle has a height of 12 cm and a base of 4 cm, so the area is 24 cm^2. The circle has a radius of 4.6 cm, so the area is 66.48 cm^2. Therefore, the total surface area of the shape is 138.48 cm^2. To calculate the surface area, you need to add the area of each of the components.For example, the area of the rectangle is 48 cm^2, the area of the triangle is 24 cm^2, and the area of the circle is 66.48 cm^2.The total surface area of the shape is then the sum of all these components, which is 138.48 cm^2.In this example, the rectangular portion, triangle and circle each had to be calculated separately in order to find the overall surface area.To learn more about the surface area of a of the prism refer to:
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The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
17. Among 2.6, 2.006, 2.66 and 2.08, the largest number is (a) 2.006 (b) 2.08 (c) 2.6
Answer:
2.66
Step-by-step explanation:
Answer:
2.66
Step-by-step explanation:
look at first at tenths for the biggest no .if there is a tie proceed to hundredths for biggest no and so on
Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is
To calculate the distance between two points:
We apply the following formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8We substitute data and solve:
[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]
The distance between the points (−3,− 8), (6, – 8) is 9.
what's the y intercept of y=-2x+ -20
Answer: y=20-2x
Step-by-step explanation:
F(x)=2 sin (1/2x)+1
What is the midline of the function
Answer:
Step-by-step explanation:
Its A
3a+2b
Help me please
I can’t do it
Answer:
Question is not clear
Step-by-step explanation:
WILL GIVE BRAINLIEST
There are 6.02 × 10^23 atoms in 1 gram of hydrogen. How many atoms are there in 400 grams of hydrogen? Write your answer in scientific notation. If necessary, round your answer to two decimal places.
If possible PLEASE write the answer in the form of 54x10^3
Answer: 2.403 × 10^3 atoms
Step-by-step explanation:
10^13 x 6.02 = 6.02^23 and 6.02^23 x 4 = 2,403 turned into 2.403 x 10^3 atoms.
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the inequality are
-6x + 15 < 10 - 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Solving inequality and determining the correct representationsFrom the question, we are to determine the correct representations of the inequality
From the given information,
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representations, we would proceed to solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
This is one of the representations of the inequality
Then,
Collect like terms
-6x + 15 < 10 - 5x
-6x + 5x < 10 - 15
-x < -5
Multiply through by -1
x > 5
If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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The physician orders 150 mg/5 kg. The patient’s weight is 75 kg. How many grams of medication has the physician ordered?
Answer: 2.25 grams
Step-by-step explanation:
In this problem, we are given the ratio of grams to weight. Since we are trying to find how many grams to give to a person with a specific weight, we can use proportions to solve.
[tex]\frac{150mg}{5kg} =\frac{x}{75kg}[/tex] [cross multiply]
[tex]11250=5x[/tex] [divide both sides by 5]
[tex]x=2250mg[/tex]
We are almost done with the problem. The problem is asking for grams, not mg, so we can use unit conversions to change that.
[tex]\frac{1000mg}{1g}=\frac{2250mg}{y}[/tex] [cross multiply]
[tex]1000y=2250[/tex] [divide both sides by 1000]
[tex]y=2.25[/tex]
Therefore, we need to give 2.25 grams.
8. Determine whether each relation is a function. a. 2 3 -2 -1 -2 X 4 5 3 4 5 3 7 0 y b. 1 2 1 2 X 7 2 y 3 4 y 5 6 5 fur
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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Which sentence is incorrect?
A. -3 > -8
B. -4 > -7
C. -2/5=0.4
D. -5/2=0.4
Answer:
D
Step-by-step explanation:
PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?
The pound of cement used based on the information will be C. 2 pounds.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.
The pound of cement used will be:
Gravel = 1 2/3 × 3
= 5 pounds
Cement used will be:
= 2/5 × 5.
= 2 pounds.
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Find the equivalent measures. Express as a decimal
(a) 250 cm =
The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.
Which symbol makes the number sentence true?
-2.5O 10/4
A. <
B. >
C. =
Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry
Step-by-step explanation: