I’ll give brainliest if correct
Which equation represents a nonlinear function
y = x^2 represents a nonlinear function.
A linear function has the form of y = mx+b where m and b are constants and x is variable, the graph of a linear function is always a straight line. A nonlinear function is any function that is not linear, the graph of a nonlinear function is not a straight line.
y = x^2 is nonlinear because the variable x is squared, a quadratic function and its graph is a parabola.
y=2x is a linear function and its graph is a straight line, increasing linearly with x.
y = x is also a linear function and its graph is also a straight line, increasing linearly with x.
y = x+2 is a linear function and its graph is also a straight line with a y-intercept of 2, increasing linearly with x
So, y = x^2 represents a nonlinear function, and it is the correct answer.
What is -1.2 x (-1.2)?
The product of the operation -1.2 x (-1.2) is 1. 44
What is multiplication?Multiplication is simply described as one of the four primary mathematical operations of arithmetic, other are;
additionsubtractiondivision.The result of any multiplication operation is called a product.
Also, to multiply simply means to add equal group of numbers or variables.
It is also important to note the following multiplication of mathematical signs, we have;
- × - = ++ × + = ++ × - = -- × + = -From the information given, we have that;
-1.2 x (-1.2)
To find the product, expand the bracket, we get;
- 1.2 × - 1.2
Multiply the values, we get;
1. 44
Hence, the value is 1.44
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A line that passes through the point (1,-6) and has the slope of -9
Write an equation in point slope form for this line
3. For the polynomial function A(x) = x4 - 2x³ - 21x² +22x + 40 we know (x - 5) is
a factor. Select all the other linear factors of A(x).
A. (x + 1)
B. (x - 1)
C. (x + 2)
D. (x - 2)
E. (x+4)
F. (x-4)
G. (x + 8)
ion with its constant term.
#3
Answer:A,D,E,F
Step-by-step explanation:A(x) = x4 - 2x³ - 21x² +22x + 40= A,D,E,F
Which type of polynomial has no zero?A) Touches X-axis at any pointB) Intersects X-axis at two distinct pointsC) Does not intersect X-axis at any pointsD) Is in any half-plane of the X-axis.
In mathematics, an algebraic expression is an assertion built up from integer constants, variables, and algebraic operations. This article is all about to Monomials, Binomials, and Polynomials.
1. Monomial
An algebraic expression that carries only one non-zero term is known as a monomial. A monomial is a just like a type of polynomial, like, binomial and trinomial, which is an algebraic expression having only a one single term, which is a non-zero.
It comprises of only a single term which makes it easy to do the operation of addition, subtraction, and multiplication.
2. Binomial
An algebraic expression that comprises of two non-zero terms is known as a binomial. It is expressed in the form equation ax ^m + bx ^n where a and b number, x is variable, m and n are nonnegative distinct integers.
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HELPP PLEASE. What is the equation of the line that passes through the point (-6,-3) and had a slope of -1/6?
Which ratios have a unit rate less than 1? Choose ALL that apply.
According to our answer to the given question of ratio, Holly earns 4 share at $5 every, for a maximum of $20, and Jasmin receives just as, or
$ten (2 x $5).
What is a ratio?An ordered combination of numbers “ a ” and “ b that is stated as just a / b, where b not greater than zero, is referred to as a ratio. A ratio is the result of equation two ratios. If there were one boy and three girls, the ratio could be shown as 1:3. 1/4 are boys, and 3/4 are girls. A part is a number, a proportion of size, or a difference among two or more things.
Here,
There is a total of $30.
Gertie shares out $30 in such a 2:4 proportion.
The maximum number of outstanding shares is 6, which is 2 plus 4.
$5 per share is the result of dividing $30 by six.
Two parts, or $ten (2 x $5), go to Jasmine.
Holly will receive four $5 shares, for a totaling of $20.
According to our answer to the given question, Holly earns 4 share at $5 every, for a maximum of $20, and Jasmin receives just as, or $ten (2 x $5).
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Graph the points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) on the coordinate plane.
The points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) have been graphed on the coordinate plane (Refer to the graph attached below.)
What is the coordinate plane?The Cartesian coordinate system on a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates.
These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
A graph having one x-axis and one y-axis is referred to as a cartesian plane (also known as an X-Y graph).
The orientation of these two axes is perpendicular.
The graph's exact center is marked by the origin (O).
So, we have the points:
(4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5)
Now, the graph is as follows:
(Refer to the graph attached below)
Therefore, the points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) have been graphed on the coordinate plane (Refer to the graph attached below.)
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Help with geometry similar triangles. ABC ~ ___ by ___ with a scale factor of ___
Answer choices ADE, AED, DEA, EDA, or None. Side Side Side, Side Angle Side, Angle Angle, or None. 1:2, 2:1, 3:2, 7:3, or N/A.
Triangle ABC and Triangle DEF are congruent, as stated, of 7:3 with scale factor of isocellus triangle.
Find scale factor?
According to the scale factor, the ratio obtained by dividing the equivalent side lengths of like figures.
Triangle ABC and Triangle DEF are congruent, as stated.
Similar figures have equivalent angles and sides that are equal.
To determine the scale factor,
You must ascertain the ratio between the triangle's corresponding sides.
In order to obtain the sides of the other triangle, multiply each side of the first triangle by the same number.
What we're looking for is the scale factor, which is represented by the number.
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Let $\angle D$ be an acute angle uch that $\co D=0. 33$. Ue a calculator to approximate the meaure of $\angle D$ to the nearet tenth of a degree
Let angle D be an acute angle such that D=0. 33. The measure of angle D is 70.7 degree.
Acute Angle:
An angle is formed when two rays meet at a vertex. If this angle is less than 90°, it is called an acute angle. In the image below, the angle formed between "Ray 1" and "Ray 2" is acute. Bisecting a right angle also creates two acute angles.
Inverse Cosine :
Inverse cosine is the important inverse trigonometric function. Mathematically, it is written cos-1(x) and is the inverse of the trigonometric cosine cos(x). Note that arc cosine is not the reciprocal of cos x. There are six inverse trigonometric functions like sin-1x, cos-1x, tan-1x, csc-1x, sec-1x, cot-1x. The arc cosine is used to determine angular measurements from the trigonometric ratio cos x values.
According to the question:
To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos
cos(D) = 0.33
⇒ D = cos^-1 (0.33)
⇒ D = 70.7 degrees
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Please help me with my classwork
Answer: 21d^7
Step-by-step explanation:(7x3) x d^(5+2)
= 21 d^7
Answer:
(7d^5)(3d^2)
7*3 = 21
5+2 = 7
21d^7
Write an equation of the line that passes through (-4, 2) and is perpendicular to the line y=2/7x-8
The equation of the perpendicular line is y = -7/2(x + 5) + 2
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y=2/7x-8
Also, from the question;
We have the following points
Point = (-4, 2) i.e. (x, y) = (-4, 2)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 2/7
This means that the slope is 2/7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -7/2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -7/2
(x₁, y₁) = (-4, 2)
So, we have
y = -7/2(x + 5) + 2
Hence, the line has an equation of y = -7/2(x + 5) + 2
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54+23+98+15+09+908
help pls
Answer:
1,107 is your answer
Step-by-step explanation:
How do you dilate a shape with a scale factor?
Dilating a shape with a scale factor is a process of enlarging or shrinking a shape.
What is scale factor?Scale factor the research between two corresponding length area of the volumes of two similar figure it is used to compare the size of one figure to another as well as the enlarge of reduced to size of a figure the scale factor is expressed as the ratio searches one it's to one.
It can be done using a compass or a ruler. First, measure the length of the side of the shape and calculate the scale factor. Then, use the compass or ruler to draw a line that is the length of the side multiplied by the scale factor. Finally, join the new line with the other side of the shape to complete the dilation.
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If the frequency of a fm wave is 8.85 × 107 hertz, what is the period of the fm wave? a. 2.58 × 10–8 seconds b. 1.13 × 10–8 seconds c. 1.25 × 10–7 seconds d. 5.82 × 10–7 seconds
The time period of fm wave is found to be 1.13 x 10⁻⁸ sec.
Define the term frequency of the wave?The quantity of waves that pass a fixed point in a unit of time is referred to as frequency in physics.
A body in periodic motion undergoes how many cycles or vibrations in one unit of time, according to this definition.The rate at which current changes direction each second is known as frequency. It is expressed in hertz (Hz), a unit of measurement that is used internationally. One hertz is equal to one cycle per second. One hertz (Hz) is equivalent to one cycle per second. A complete alternating current or voltage wave is referred to as a "cycle.".For the given frequency of a fm wave = 8.85 × 10⁷ hertz.
Time period = 1 / frequency
T = 1 / 8.85 × 10⁷
T = 0.112 x 10⁻⁷ sec
T = 1.13 x 10⁻⁸ sec
Thus, the period of the fm wave is found to be 1.13 x 10⁻⁸ sec.
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2 1/5 x 2 2/3 fravction
To multiply two mixed numbers, you can convert them to improper fractions and then multiply the numerators and denominators separately.
2 1/5 can be written as (2 x 5 + 1) / 5 = 11/5
2 2/3 can be written as (2 x 3 + 2) / 3 = 8/3
So the product of 2 1/5 x 2 2/3 is (11/5) * (8/3) = 88/15 which is equivalent to 5 8/15 or 5.533 repeating (if you want to express it as decimal)
You can simplify 88/15 by dividing both numerator and denominator by the greatest common divisor (GCD) which is 1 in this case, so the final result is 88/15.
Which of the following lines has a y-intercept of (0,3) and a slope of ?
A y= 1/2x+3
B y= 1/2x-3
C y= 3x+1/2
D y= 3x-1/2
Comparing the provided equations in the options with the slope-intercept form y = mx + c and with the intercept value given , The answer is option A and B.
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What is slope and intercept?In a linear equation, the slope (also called the gradient) is a measure of the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis. The slope of a linear equation can be represented as m in the form of y = mx + b, where m is the coefficient of x, and b is y-intercept. The y-intercept is the point where the line crosses the y-axis, which can be represented by the value of b in the form of y = mx + b.
intercept (c) = 3units
option A also has 3 as c
option B also has 3 as c
when compared with y= mx + c
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2.Which of the following relations is a function?And why?
a. (1,0), (2,0)(3,4)
b. (1,0), (2,0)(2,4)
c. (1,0), (2,0)(3,0)
Answer:
A and B
Step-by-step explanation:
theres one input for each ouput
a triangle has 3 sides x+4, x+6, and x. Write an expression to find the perimeter
An expression to find the perimeter of this triangle is P = 3x + 10.
How to calculate the perimeter of this triangle?Mathematically, the perimeter of a triangle can be calculated by using this mathematical expression:
P = a + b + c
Where:
P represents the perimeter of a triangle.a, b, and c represents the length of sides of a triangle.Given the following parameters:
Side a = x + 4Side b = x + 6side c = xSubstituting the given parameters into the perimeter of a triangle formula, we have the following;
Perimeter of triangle, P = x + 4 + x + 6 + x
Perimeter of triangle, P = 3x + 10
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line L has equation y=1 find the distance between L and the point T(-1,-7)
round answer to nearest tenth
The distance between the line and the point is 8 units.
What is the cartesian plane?When two parallel lines intersect, a two-dimensional coordinate plane called the cartesian plane is created. The horizontal line is the X-axis, while the vertical line is the Y-axis. If the sign of x is positive, the coordinate point (x, y) in the Cartesian plane indicates that the point is on the right of the origin; otherwise, it indicates that the position is on the left of the origin.
Given a line L,
and the equation of a line is y = 1
actual equation of line is ax + by +c = 0
equation of line is 0x + y - 1 = 0
here a = 0, b = 1 and c = -1
and point T(-1, -7)
distance between line and the point is d = [tex]\frac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2} }[/tex]
x₁ = -1, y₁ = -7
|ax₁ + by₁ + c| = |0(-1) + 1(-7) +(-1)|
|ax₁ + by₁ + c| = 8
√(a² + b²) = √(0² + (1)²) = 1
distance between line and the point is d = 8/1 = 8 units
Hence the distance is 8 units.
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Find (13x−3)+(−34x−5)
Answer: -21x-8
Step-by-step explanation:
Combine the like terms
I need help with homework!!! I also need a in depth answer and how to do it! 9.4 Solving Surface Area Problems, number 2. In “Guided Practice”
Answer:34.5
Step-by-step explanation:
hurry up please!!!!!!
The approximate annual cost of raising a child born in 2013 at age 17 is 15230.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
a) Plot (2, 12,940), (5, 12,970), (8, 12,800), (11, 13,600) 1nd (14, 14420) on graph.
b) (8, 12800) and (14, 14420)
Here, slope m=(14420-12800)/(14-8)
= 1,620/6
= 270
Substitute m=270 and (x, y)=(8, 12800) in y=mx+c, we get
12800=270(8)+c
12800=2160+c
c=10640
Substitute m=270 and c=10640 in y=mx+c, we get
y=270x+10640
c) Now, substitute x=17 in y=270x+10640, we get
y=270×17+10640
y=15230
Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is 15230.
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How do you find the sides of a 3 4 5 triangle?
The 3-4-5 rule is a rule that states that in any right triangle, the ratio of the length of the two shorter sides will be 3:4 if the length of the hypotenuse is 5.
To determine if a triangle is a 3-4-5 triangle, you can use the following steps:
Identify the hypotenuse (the longest side of the triangle)Divide the length of the hypotenuse by 5.Multiply the result by 4 to find the length of the side opposite to the right angle.Multiply the result by 3 to find the length of the side adjacent to the right angle.For example, if the hypotenuse of a triangle is 10 units, you can use the 3-4-5 rule to determine if it is a 3-4-5 triangle:Divide the length of the hypotenuse by 5: 10 / 5 = 2
Multiply the result by 4: 2 x 4 = 8
Multiply the result by 3: 2 x 3 = 6
So, the triangle has sides of 6, 8, and 10 units, which is a multiple of 3-4-5 triangle and it is a right triangle.
Note that not all triangles that have sides in the ratio 3:4:5 will be a right triangle, only those that have a 90-degree angle are considered as a right triangle.
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6. Construction A total of 18.6 cu yd of concrete is required for pouring a
foundation. The ratio of cement to sand to gravel for this application is
1:2:4, and the total amount of these components must be 1½ times the vol-
ume of concrete needed. Use the method of Example 4 to determine how
many cubic yards of each component are needed.
The number of cubic yards of each component needed are 3.99 cubic yards of cement, 7.97 cubic yards of sand and 15.94 cubic yards of gravel
How to determine how many cubic yards of each component are needed?
Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another
Since a total of 18.6 cu yd of concrete is required and the total amount of these components must be 1½ times the volume of concrete needed. We can say:
total amount of these components = 1½ × 18.6 cu yd = 27.9 cu yd
Also, since the ratio of cement to sand to gravel for this application is 1:2:4. We have:
Total share = 1 + 2 + 4 = 7
cement = 1/7 × 27.9 = 3.99 cubic yards
sand = 2/7 × 27.9 = 7.97 cubic yards
gravel = 4/7 × 27.9 = 15.94 cubic yards
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Mr. Ramiriz i making pie to ell at the local farmer’ market. It cot her $5 to make each pie, plu a one-time cot of $30 for baking upplie. She plan to ell the pie for $12 each. Which equation can be ued to find the number of pie he need to ell to break even?
5x – 12x = 30
5x 12x = 30
5x 30 = 12x
12x 30 = 5x
The equation can be used to find the number of pie he need to sell to break event.
c. 5x + 30 = 12x
Given :Mrs. Ramirez is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each.
To Find: Which equation can be used to find the number of pies she needs to sell to break even.
Solution:
Let no. of pies be x
It cost her $5 to make each pie
So, cost of making x pies = 5x
Since there is a one-time cost of $30 for baking supplies.
So, total cost for her is 5x+30
If she sells each pie for $12
Then cost of pies = 12x
Now,
The equation can be used to find the number of pies she needs to sell to break even:
c) 5x+30=12x
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y = -x + 2
y = 3x + 6
Graph each line in the system shown below. What is the point of intersection? Does more than one exist? How do you know for sure?
The solution of the system of linear equations is (-1,3) and thus has unique solution as shown in the graph attached.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The linear equations here as y = -x + 2 & y = 3x + 6
For a system of two linear equations and two variables, there can be no solution, exactly one solution, or infinitely many solutions (just like for one linear equation in one variable). An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
But clearly the two equations are not coincident and also not parallel
Thus the system of equations must have exactly one unique solution.
Therefore solving for the equations
y = -x + 2
y = 3x + 6
Substracting the two equations we get -4x-4=0 or x=-1
∴ y=1+2
=3
Hence, The solution of the system of linear equations is (-1,3) and thus has unique solution as shown in the graph attached.
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help please I'm failing
Answer:
Step-by-step explanation:
show picture
Which one of the following is not equivalent to P <-> q?p only if qq is necessary for pq only if pp is sufficient for q
if pp is sufficient for q is not equivalent to P <-> q for p and q conditional statement
The true statements for the conditional statement p → q are;
If p then q
p, therefore q
q, if p
p is enough condition for q
Reason for the above selection
The conditional statement p → q is read as If p then q
The deductive validity of the conditional statement is; p, therefore q
The conditional statemen, p → q also means;
1) q, if p
2) q, provided p
3) p, only of q
4) p implies q
5) q whenever, p
6) p is enough condition for q
7) q is a necessary condition for p
Therefore, the correct statements are;
If p then q
p, therefore q
q, if p
p is enough condition for q
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He radiu of the un i about 96,600,000 kilometer. The radiu of Earth i about 6370 kilometer. A. Write each radiu in cientific notation. B. The urface area S of a phere with radiu r i given by S = 4 π r 2 S=4πr 2. Aume the un and Earth are perfect phere. Find their urface area. Write your anwer in cientific notation. C. What i the ratio of the urface area of the un to the urface area of Earth? What doe the ratio tell you?
A. The radius of the sun in scientific notation is 9.66 x 10^8 kilometers and the radius of Earth is 6.37 x 10^3 kilometers.
B. To find the surface area of a sphere with a given radius, we can use the formula S = 4πr^2.
The surface area of the sun is 4π(9.66 x 10^8)^2 = 1.4 x 10^18 square kilometers.
The surface area of Earth is 4π(6.37 x 10^3)^2 = 5.1 x 10^10 square kilometers.
C. To find the ratio of the surface area of the sun to the surface area of Earth, we can divide the surface area of the sun by the surface area of Earth.
The ratio of the surface area of the sun to the surface area of Earth is: 1.4 x 10^18 / 5.1 x 10^10 = 2.7 x 10^7.
This ratio tells us that the surface area of the sun is 2.7 x 10^7 times larger than the surface area of Earth.
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