The value of f(7) is 9 given that f(x) = |19 - 4x|
How to determine the value of f(7)?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = |19 - 4x|
To find f(7), substitute x = 7 into f(x) = |19 - 4x|:
f(7) = |19 - 4(7)| = |19-28| = |-9| = 9
Note: The sign | | means absolute, the sign of any value inside it will be discarded and only the number is written
Therefore, f(7) is 9
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Complete the statement. 48 cm = mm
Answer:
48cm = 480mm
Step-by-step explanation:
1cm = 10mm
48cm = 48 X 10 mm
48cm = 480mm
Answer:
480mm
When converting from cm to mm, multiply by 10.
48 x 10 = 480
An investor borrows r11500 to buy a computer and is charged interest at an annual rate of 6 %per annum compounded quarterly. the loan has to be paid in 3 years. calculate the amount of loan that is outstanding at the end of 2 years
The loan amount at the end of 2 years is Rs. 12,127 .
In the given question we have, amount Rs. 11500 is borrowed by investor at the interest rate of 6% per annum.
compund interest is defined as the addition of interest to the principal of loan.
principal (P) = 11500
If interest is compunded quarterly then time(t) = 3 years = 12 , rate ( r%) = 6/4% = 2/3 %
Using the formula of Amount ,
Amount = P( 1 + r / 100) ᵗ
= 11500( 1 + 2/ 300)⁸
= 12127.83 ~ 12128
compound interest = Amount - principal =
12128- 11500 = Rs. 628
So, An investor has to pay total Rs. 12128 at the end of 2- year.
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The maximum area is 640,000.
Given fencing yards = 3200
let the length be x and the width be y
The parameter of the rectangle is given as;
2(L + B),that is
2(x + y) = 3200
x + y = 1600
y = 1600-x
let the area of the rectangle be A, then
A = x y
A = x(1600-x)
A = 1600x - x^2
finding the maximum derivative of A with respect of x
da/dx = 1600 - 2x
set da/dx to zero,
1600 - 2x = 0
1600 = 2x
x = 1600/2
x =800
substitute the value of x = 800 in to y
y = 1600 - 800
y = 800
The maximum area is 800 x 800
Therefore Maximum area = 640,000.
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Omar compro 3.5k de cebolla a 8.90 el kilo. Cuanto pago por las cebollas
The amount that Omar will pay when he bought 3.5k of onions are 8.90 per kilo is $31.15.
What is money?From the information given, Omah wants to know the total amount that he will pay for the onions. It's important to know the cost for each kilogram of onion and then multiply it but the number of kilograms that are bought.
In this case, Omar bought 3.5k of onions are 8.90 per kilo.
The amount that Omar will pay for the onions will be:
= Number of kilograms × Cost per kg
= 3.5 × 8.90
= $31.15
In conclusion, the amount is $31.15.
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Each month Edna spends all her income on rent, on travel and on other living expenses She spends 1/3 of her income on rent. she spends 1/5 of her income on travel. She spends $420 of her income on other living expenses. Work out her income each month.
Answer:I think $1064
Step-by-step explanation:
First you multiply 1/5 by 420 and then add, so 1/5 x 420 = 84 & 420 + 84 = 504. Then you multiply 1/3 by 420 and also add, so 1/3 x 420 = 140 & 420 + 140 = 560. After you add both totals to get your final answer, so 504 + 560 = 1064. Her income each month is $1064.
which of the following is a polynomial?
Answer:
Option D
Step-by-step explanation:
This is because it contains the sum of the same variable to different powers.
HELP!!
Find three consecutive odd integers that twice the sum of the second and the third is 43 more than three times the first
Answer: 31, 33, 35
Step-by-step explanation:
WILL GIVE BRAINLIST TO BEST ANSWER! EASY POINTS
write the point slope form of the equation of the line through the given points.
through (-5, -1) and (-4, -5)
Answer:
y+1=-4(x+5)
Step-by-step explanation:
it changed to point slope form so now it’s different
the equation is y-y1=m(X-x1)
y-(-1)=m(x-(-5)
y+1=m(x+5)
Now to find slope y2-y1/x2-x1
-5+1/-4+5
-4/1
-4 is the slope so we just fill it in
y+1=-4(x+5)
Hopes this helps please mark brainliest
please hep me asap!!!
Pls help me and give steps as to how to do it thank you
Answer: [tex]x=13, y=132[/tex]
Step-by-step explanation:
Using the same-side interior angles theorem, [tex]y=132[/tex].
Using the alternate interior angles theorem, [tex]5x-17=48 \implies x=13[/tex]
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The vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the parabola is open downwards
From the given parabola
The vertex of the parabola is at (-2, 2)
The vertex of the parabola is defined as the the point at the intersection of the parabola and its line of symmetry.
The line of symmetry is at x = -2
The parabola is open downwards
Hence, the vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the given parabola is open downwards
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Решите пожалуйста приведенные ниже файлы, срочно
Step-by-step explanation:
the answer is Y=-1/2×+5
Explanation:
You put the gradient in M for Y=M×+C (substitute) then you substitute the coordinates it has given you into the X and Y part of linear equation. (x,y)
A circle has a circumference of 3.143.143, point, 14 units.
What is the diameter of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
The diameter of the circle is 4.45 units.
What is circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle.
A line segment having both the endpoints on the circle and is the largest chord of the circle is called diameter.
Given,
the circumference of circle = 14 units
circumference = πd
14 = 3.14(d)
14/3.14 = d
d = 4.45
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Which of the following is the independent variable of F(G(x))?
O A. V
• B. x
• C. F(x)
• D. F(G(x))
Answer:
D
Step-by-step explanation:
the sum of the measures of the angles in the triangle is 180 degrees. what is the measure of each angle? write and solve an equation
If sum of the measures of the angles in the triangle is 180 degrees then
measures of each angle is 60 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The sum of the measures of the angles in the triangle is 180 degrees
By angle sum property, sum of the measures of the angles in the triangle is 180 degrees
Let the measure of angle be x
x+x+x= 180 degrees
3x=180
Divide both sides by 3
x=180/3
x=60
Hence each angle measures 60 degrees.
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help quick!!
Find the equation of the Axis of symmetry and the coordinates of the vertex of the graph of each function
y = 4x² – 2
Answer: (0,-2)
Step-by-step explanation: just multiply
Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. Responses a∥b, converse of the same-side interior angles theorem a is parallel to b, , converse of the same-side interior angles theorem a∥b, converse of the alternate interior angles theorem a is parallel to b, , converse of the alternate interior angles theorem a∥b, converse of the corresponding angles theorem a is parallel to b, , converse of the corresponding angles theorem not enough information to make a conclusion not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four. Skip to navigation
If ∠4 ≅ ∠14, then the lines that must be parallel are a and b and so we can say that; a∥b, Converse of the Alternate Interior Angles Theorem
What are Interior Angles?Interior angles are basically the pair of angles created on the inner side of the parallel lines and right on the opposite sides of the transversal when two parallel lines are intersected by a transversal .
We are told that ∠4 ≅ ∠14, which lines,
If a transversal connects two parallel lines, we know that the corresponding angles and vertically opposite angles are equivalent.
Thus, angle 4 is congruent to angle 14.
Therefore, we can deduce the following;
Angle 15 is a corresponding angle to angle 3 and so we can write that;
∠15 ≅ ∠3
Angle 15 is a vertically opposite angle to angle 13 and so we can write that; ∠15 ≅ ∠13
By transitive property of equality, we can say that;
∠3 ≅ ∠13 [Alternate interior angles]
Thus, we have ∠4 ≅ ∠14
Therefore, we conclude that a∥b, Converse of the Alternate Interior Angles Theorem.
Hence, the correct answer would be an option (B).
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Answer:
the shorter leg = 9mm
the longer leg = 12mm
the hypotenuse is 15mm
Step-by-step explanation:
x^2 +(x+3)^2 =(x+6)^2
x^2 + x^2 + 6x +9=x^2 + 12x +36
x^2-6x-27=0
(x+3)(3-9)=0
x=-3 (impossible) ... or x=9
find the inequality 2x/3 <4
Answer:
x<6
Step-by-step explanation:
2x/3<4
2x<12
x<6
Answer:
x < 6
Step-by-step explanation:
[tex]\frac{2x}{3}[/tex] < 4 ( multiply both sides by 3 to clear the fraction )
2x < 12 ( divide both sides by 2 )
x < 6
Description of End behavior "-x^4-x^3+3x^2+2x+6"
The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.
What is the end behavior of a function?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.
The given function is -x⁴ -x³ +3x² +2x +6
The degree of the given function is even and the leading coefficient is negative. So,
End behavior is given by
f(x) → -∞, as x→ -∞
f(x) → -∞, as x→ +∞
The graph looks as follows:
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Factor completely, than place the factors in the proper location on the grid
Y^2x -y^x-20
Answer: Cannot be factored
Step-by-step explanation:
= Factor Y^2x -y^x-20
= Cannot be factored
write the inverse: if the 2 smallest sides sum to be larger than the 3rd side, then it is a triangle.
Using the properties of conditional statements we can write the inverse of the statement as ": if the 2 smallest sides sum is not larger than the 3rd side, then it is not a triangle."
The statement is given as if the sum of two sides is greater than the third side then it is a triangle.
Now for the inverse we have to convert the given line into double negative.
Hence we get:
If the 2 smallest sides sum is not larger than the 3rd side, then it is not a triangle
Conditional statements are part of mathematical reasoning, a vital skill that enables students to evaluate a given hypothesis without reference to a particular context or meaning. Simply put, when a scientific research or allegation is studied, the logic isn't truly founded on an individual's perspective. Deductions and evidence must have factual and scientific foundations.
the various types of conditional statements are:
When the conditional statement's hypothesis and conclusion are both untrue, it is referred to as an inversion of the statement.If both a hypothesis and a conclusion are false at the same time, the statement is contrapositive.A statement is said to be biconditional when it is both conditional and converse at the same time, satisfying both conditions as true.Top learn more about inverse of a statement visit:
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Find the value of the variables in each figure. Explain your reasoning.
The value of the variables x and y in each figure are 28 and 46.3 respectively.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Therefore,
5x + 40 = 180,
5x = 180 - 40
5x = 140
x = 28
Also,
(3y-1 ) and 40 are corresponding angles, thus
40 + 3y - 1= 180 ,
3y = 180 - 40 + 1
3y = 139
y = 46.3
Thus, the value of the variables x and y in each figure are 28 and 46.3 respectively.
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-8x-7=33 ''solve it ''
Answer:
Step-by-step explanation:
-8x-7=33
+7 +7
-8x=40
x=-5
Tell whether x and y show a positive, negative, or no relationship
Answer:
negative, as the points are slowly making their way "down" the graph :)
Can someone help me with this please! I really need it done
increase the amount of the ingredients by 5 and by 20
Using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 350gIncreased by 20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 51.75gIncreased by 20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 7.5gIncreased by 20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 11.5gIncreased by 20 = 46g(G) Crushed red pepper: 1.15g
Increased by 5 = 5.75gIncreased by 20 = 23gWhat do we mean by mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).So, we can calculate missing values as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 18×20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 70×5 = 350gIncreased by 20 = 70×20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 10.35×5 = 51.75gIncreased by 20 = 10.35×20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 1.5×5 = 7.5gIncreased by 20 = 1.5×20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 2.3×5 = 11.5gIncreased by 20 = 2.3×20 = 46g(G) Crushed red pepper: 1.15g
Increased by 5 = 1.15×5 = 5.75gIncreased by 20 = 1.15×20 = 23gTherefore, using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 350gIncreased by 20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 51.75gIncreased by 20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 7.5gIncreased by 20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 11.5gIncreased by 20 = 46g(G) Crushed red pepper: 1.15g
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a positive integer divisor of 12! is chosen at random. the probability that the di-visor chosen is a perfect square can be expressed asmn, wheremandnare relativelyprime positive integers. what ism n?
The probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
What exactly is meant by probability?Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring.Given: Randomly, a positive integer divisor of 12! is selected.
Prime factorization of 12! = 2¹⁰ × 3⁵ × 5² × 7¹ × 11
Total divisors of 12! = 11 × 6 × 3 × 2 × 2
Each number in the prime factorization must have an even exponent in order to construct a perfect square divisor. In the prime factorization, the divisor cannot have any factors of 7 and 11 because there is only one of each in 12!. There are 6 × 3 × 2 perfect squares as a result.The probability that the divisor chosen is a perfect square is given as:
(6 × 3 × 2)/(11 × 6 × 3 × 2 × 2)
= 1/22
=m/n
Therefore, the probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
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Find all rational roots.
x(3x − 4) (x − 5) = 0
The rational roots of the given equation x(3x − 4) (x − 5) = 0 are x = 0, 4/3 and 5
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.
x(3x − 4) (x − 5) = 0
So we can put every term equal to zero to find it's root.
1st case, x = 0
2nd, 3x-4 = 0
3x = 4
x= 4/3
3rd, x-5 = 0
x = 5
Hence, the rational roots of the given equation are x = 0, 4/3 and 5
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Quadrilateral PONY is rotated 180° about the origin.
Draw the image of the rotation
The given quadrilateral PONY is rotated to 180° as P'O'N'Y' and its coordinates are:
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)What is rotation?A transformation in geometry is an action that moves, flips, or modifies a shape to produce a new shape. A rotation is an example of a transformation where a figure is rotated a set number of degrees around a fixed point (referred to as the center of rotation).The circular motion of an item around a center or axis is the definition of rotation in mathematics. The rotation of the earth on its axis is one of the best examples of rotation in nature.So, rotate the given quadrilateral at 180° as follows:
Given quadrilateral: PONY
P: (7, -2)O: (3, -2)N: (3, -6)Y: (6, -5)Rotate to 180° and plot as follows:
Quadrilateral after rotation: P'O'N'Y'
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)(Refer to the graph attached below)
Therefore, the given quadrilateral PONY is rotated to 180° as P'O'N'Y', and its coordinates are:
P': (2, -7)O': (2, -3)N': (6, -3)Y': (5, -6)Know more about rotation here:
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Answer:
P': (2, -7)
O': (2, -3)
N': (6, -3)
Y': (5, -6)
Step-by-step explanation:
Which capital letters in the word TRANSFORMATION produce the same letter after being rotated 180°?
The capital letters of the word TRANSFORMATION are rotated 180 degrees, they generate the same letter are I, N, O and S.
Define the term rotation?Geometry can be used to determine the meaning of rotation in mathematics. As a result, it is described as the movement of an object round the center or an axis.The point of rotation is the point where the object is rotated.An angle of rotation is the degree of rotation calculated in degrees.It is possible to rotate clockwise or counterclockwise. If an item needs to be rotated, there are several methods for doing so:
90 degrees counterclockwise90° counterclockwise180 degrees counterclockwiseanticlockwise 180 degreesWhen the capital letters of the word TRANSFORMATION are rotated 180 degrees, they generate the same letter: I, N, O and S.
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