what are the x and y intercepts for -2x+y=-2​

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).

The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.

Here we have

The quadratic function f(x) = x²/5 – 5x + 12

Now check each option as follows

1. The value of f(–10) = 82

To check this find f(-10) as follows

f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82

Hence, The value of f(–10) is equal to  82

2. The graph of the function is a parabola.

As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c

Hence, the quadratic function represents a parabola

3. The graph of the function opens down.

In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.

Hence, The graph of the function opens down is false

4. The graph contains the point (20, –8).

To check this substitute the point in f(x)

=> –8 = 1/5(20)²– 5(20) + 12

=> –8 = 80 – 100 + 12

=> –8 = –8   [ Which is true ]

Hence, The graph contains the point (20, –8).

5. The graph contains the point (0, 0).

=>  0 = (0)²– 5(0) + 12

=>  0 = 12   [ which is not true ]

Hence, The graph doesn't contain the point (0, 0).

Therefore,

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

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Answer:

x=3

Step-by-step explanation:

2+6x=20

6x=20-2

6x=18

x=3

The value of the number is 3

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

Answer:

wdym

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer: Add a graph and I'll answer it.

Answer:

1/9 is smaller than 1/6, so it takes more amounts of 1/9 to make make a fraction equal to 1/3

It takes more 1/9 than 1/6 to make a fraction equivalent to 1/3.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To make a fraction equivalent to 1/3, we need to multiply both the numerator and the denominator by the same non-zero constant. Let's call this constant "x". Therefore, the equivalent fractions are:

1/3 = (x1)/(x3)

To compare how many 1/9s and 1/6s are needed to create this fraction, we need to find the value of "x" that will make the denominators of 1/9 and 1/6 equal to the denominator of 1/3, which is 3.

For 1/9, we can find x as follows:

1/9 = (x1)/(x9)

Multiplying both sides by 3, we get:

3/9 = (x3)/(x9)

Simplifying, we get:

1/3 = x/9

Multiplying both sides by 9, we get,

x = 3

Therefore, to make a fraction equivalent to 1/3 using 1/9, we need to multiply both the numerator and denominator by 3.

Now let's look at 1/6. We can find x as follows:

1/6 = (x1)/(x6)

Multiplying both sides by 2, we get:

2/12 = (x2)/(x12)

Simplifying, we get:

1/6 = x/12

Multiplying both sides by 12, we get:

x = 2

Therefore, to make a fraction equivalent to 1/3 using 1/6, we need to multiply both the numerator and denominator by 2.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

Each square on the travel chessboard is 0.75 inches by 0.75 inches

Step-by-step explanation:

A scale factor of 1/3 when dilating means that we divide 2.25 by 3. That equals 0.75 :)

Answer: In 81/ In 12 AND log 81/log 12

Step-by-step explanation: PLATO ANSWER I got 100%

To solve the problem we must know about the change of base rule for Logarithm.

The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.

\(log_ab = \dfrac{log_x b}{log_x a}\)

where x is any base.

The expression can be expressed as \(\dfrac{log\ 81}{log\ 12}\).

Given to us

\(log_{12}81\\\)

use the change of base rule, \(log_ab = \dfrac{log\ b}{log\ a}\),

\(log_{12}81=\dfrac{log\ 81}{log\ 12}\)

Hence, the expression can be expressed as \(\dfrac{log\ 81}{log\ 12}\).

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Hello, let's note

\(f(x)=x^4-3x^3+x^2+3x-2\\\\f(1)=1-3+1+3-2=0\)

So we can put (x-1) in factor. We are looking for a and b such that

\(f(x)=(x-1)(x^3+ax^2+bx+2)=x^4+(a-1)x^3+(b-a)x^2+(2-b)x-2\)

We identify the like terms, it comes

a-1=-3 <=> a = -2

b-a=1 <=> b = 1 + a = -1

2-b=3

So it comes.

\(f(x)=(x-1)(x^3-2x^2-x+2)\)

And we can go further using the same method to find that

\(x^3-2x^2-x+2=(x-1)(x^2-x-2)\)

The sum of the zeroes is 1=2-1 and the product is -2=(-1)*2, so, we can factorise.

\(\boxed{f(x)=(x-1)^2(x+1)(x-2)}\)

The sign of f(x) is the same as the sign of (x+1)(x-2) as a square is always positive.

To find the sign of a product, we can apply the following.

"- multiplied by - gives +"

"+ multiplied by + gives +"

"- multiplied by + gives -"

"+ multiplied by - gives -"

This is this what we are doing below.

\(\begin{array}{|c|ccccccc}x&-\infty&&-1&&2&&+\infty\\---&---&---&---&---&---&---&---\\x+1&-&-&0&+&3&+&+\\---&---&---&---&---&---&---&---\\x-2&-&-&-3&-&0&+&+\\---&---&---&---&---&---&---&---\\f(x)&+&+&0&-&0&+&+\\\end{array}\)

So, to answer the question

\(\Large \boxed{\sf \bf \ f(x) < 0 <=> -1 < x < 2 \ }\)

Thank you.

The estimated values of f'(2) and f'(8) are -4.5 and -8.5, respectively.

In programming, a function is a self-contained block of code that performs a specific task or set of tasks. It is a reusable piece of code that can be called multiple times from different parts of a program. Functions typically take inputs, called arguments or parameters, and produce outputs, which can be returned to the calling code.

Given by the question.

a.

To determine whether the function has a positive or negative first derivative, we can examine the change in values of f(t) between adjacent values of t. Since the values of f(t) decrease as t increases, the function appears to have a negative first derivative.

To determine the second derivative, we can examine the change in the first derivative. Since the first derivative is negative, it is decreasing as t increases, suggesting a negative second derivative.

Therefore, the function appears to have a negative first derivative and a negative second derivative.

b.

To estimate f'(2) and f'(8) using difference quotients to the right, we can use the following formula:

f'(t) ≈ [f (t + h) - f(t)] / h

where h is a small positive value. To estimate f'(2), we can use h = 2:

f'(2) ≈ [f (4) - f (2)] / 2 = (120 - 129) / 2 = -4.5

To estimate f'(8), we can use h = 2:

f'(8) ≈ [f (10) - f (8)] / 2 = (77 - 94) / 2 = -8.5

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The similarities between matrix factorization and content-based filtering and/or collaborative filtering are given below.

What is matrix factorization and collaborative filtering?

A group of cooperative filtering algorithms used in recommender systems is called matrix factorization. The user-item interaction matrix is broken down into the product of two rectangular matrices with lower dimensions by matrix factorization algorithms.

Collaborative filtering makes recommendations by simultaneously comparing similarities between users and items, addressing some of the drawbacks of content-based filtering.

collaborative filtering: user-based for example, CF calculates users' similarities in the item space. Then taking similar users's interest to do a recommendation for the target user. CF is one case of neighborhood methods.

matrix factorization amounts to mapping features of user and item via linear combination to latent factor space respectively.

Then calculating the similarity via inner-product of latent user factor and latent item factor.

CF covers local information of target user for the sake of neighborhood methods, while MF covers global information.

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The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.

It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.

Since it is given in the task content that 230 people sign the petition each day.

It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;

= 1000/230

= 4.3478 days.

Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.

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In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10."

How to solve the question?

a. The set of natural odd numbers greater than 2, but less than 11 can be expressed using the roster method as {3, 5, 7, 9}. The set includes all the odd natural numbers between 2 and 11, excluding the endpoints, since 2 is not odd, and 11 is not less than 11.

b. The set {x|x (N and 4<x<10)} can be expressed using the roster method as {5, 6, 7, 8, 9}. The set includes all the natural numbers greater than 4 and less than 10, since x is a natural number (N) and satisfies the condition 4 < x < 10.

In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10." The vertical bar separates the description of the elements of the set (the condition) from the set itself.

The roster method and set-builder notation are both ways of describing sets, but the roster method lists all the elements of a set, while the set-builder notation describes the properties or conditions that define the set. Both methods are useful in different situations and depend on the specific context and the purpose of the set description.

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Your complete question is :-

express each set using the roster method.

a. the set of the natural odd numbers greater than 2, but less than 11

b.{x|x (N and 4

Answer:

A

Step-by-step explanation:

So, what is happening is that the sale would put the computer on 4/5 the original price, since 1/5 of the price is being taken away in the sale.

4 divided by 5 is 0.8, and 0.8 times 400 is 320.

Hope this helps!

Answer: 12 is the awnser

Step-by-step explanation: simple math.

The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

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Answer:

your answer should be 6! :)

Plot the updated coordinates for each point to get the dilation-affected triangle's image.

An enclosed triangle is a geometric shape with three edges and three angles in two dimensions. A triangle's total angles are always 180 degrees. Depending on the size of the sides and the angles they make, triangles can be classified as equilateral, isosceles, scalene, sharp, obtuse, or right triangles. Numerous branches of math, science, engineering, and the arts use triangles.

given

The methods below can be used to graph the representation of a triangle after dilation with a scale factor of 12 and a center point of (-5,1):

Place the initial triangle's vertices on a coordinate plane.

By averaging the coordinates of the ends, locate the midpoint of each triangle edge.

To create the medial triangle, connect the midpoints of the neighboring sides with line segments.

By multiplying each point's coordinates by a scale factor of 12, with the central point, you can apply dilation (-5,1).

Plot the updated coordinates for each point to get the dilation-affected triangle's image.

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Answer:

D

Step-by-step explanation:

<3

The value of the Rank the stores from the cheapest to most expensive sale price of the camera is,

⇒ D, C, B, A

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Store A: price $99.99 and discount of 15%

15% discount :

Discounted price : (1 - 0.15) x $99.99 = $84.99

Store B: price $95.99 and discount of 12%

12% discount :

Discounted price : (1 - 0.12) x $95.99 = $84.47

Store C: price $90.99 and discount of 10%

10% discount :

Discounted price : (1 - 0.10) x $90.99 = $81.89

Store D: price $89.99 and successive discounts of 5% and 5%

5% discount :

Discounted price : (1 - 0.05) x $89.99 = $85.4905

5% discount :

(1 - 0.05) x $85.4905 = $81.22

Hence, We get;

Cheapest = store D,  then C, then B, then A

So, Order is.,

⇒ D, C, B, A

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1.

cos(90-x) = sin(x)

sin(-x) = -sin(x)

cos²(180+x) = (-cos²x) = cos²(x)

Then

cos(90-x) .sin(-x)/cos²(180+x) = sin(x).(-sin(x))/cos²(x)

                                               = -sin²(x))/cos²(x)

                                               = −tan²(x)

2. 

tan² (360° + θ)/cos(90° + θ).sin(180° - θ) 

tan² (360° + θ) = tan² (θ)

cos(90° +x) = - sin(θ)

sin(180° - θ) = sin(θ)

tan² (360° + θ)/cos(90° +θ).sin(180° - θ) = tan² (θ)/- sin(θ) sin(θ)

                                                               = -tan²(θ)/sin²(θ)

                                                               = -1/cos²(θ)

                                                               = - (cos²θ + sin²θ)/cos²θ

                                                               = -1 - tan²θ

Answer:

Step-by-step explanation:

You want the solution to the system of equation using the addition method:

We can multiply the first equation by 0.02 and add it to the second:

  0.02(x) +(0.08x +0.02y) = 0.02(y +600) +(470)

  0.10x +0.02y = 0.02y +482 . . . . . . . . . simplify

  0.10x = 482 . . . . . . . . . . . . . . . . . . . . subtract 0.02y

  x = 4820 . . . . . . . . . . . . . . . . . . . . multiply by 10

  y = x -600 = 4820 -600 = 4220

The amount invested at 8% is $4820; the amount invested at 2% is $4220.

__

Additional comment

You will notice that we solved the equations using "addition" by adjusting coefficients so one variable (y) had the same coefficient on each side of the equal sign. That term was then subtracted from both sides, eliminating the variable. The point of the "method of addition" is to eliminate one variable, which is what we did.

More conventionally, we might rearrange the first equation to x - y = 600 before multiplying by 0.02 and doing the addition. That also eliminates the y-variable.

The calculator result shown in the attachment is also a form of elimination by the addition method.

Answer:

3 mL

Step-by-step explanation:

The fluid level is called the concave meniscus. The adhesive force causes it to crawl up on the sides, but you should ignore that while reading the level.

Answer:

Answer: x is 46°

Step-by-step explanation:

• Let's first find Angle ACB

\({ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\ \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\ \\ { \underline{ \rm{ \: \angle ACB = 67 \degree}}}\)

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

\({ \rm{x + \angle ABC + \angle ACB = 180 \degree}} \\ \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\ \\ { \rm{x + 134 \degree = 180 \degree}} \\ \\ { \boxed{ \rm{x = 46 \degree}}}\)

let me add a bit more material, to the great reply above, which is absolutely correct.

we know that AB = AC, that means that triangle ABC is an isosceles and that its two angles at the "base" are congruent, namely the blue angles in the picture.

Since all flat-lines are 180°, then we know the angle to the left of point B is 180 - 44 - 23, and that angle is a corresponding angle with 67 + x.

Answer:

i could be wrong but (5√x)^3

Step-by-step explanation:

im ot sure though

Answer is

(5√x)^3

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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4.61 gallons is the mean number of gallons of milk consumed last month​.

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

The mean (also known as that of the arithmetic mean, which varies with respect to the geometric mean) of a data is calculated as the sum of all values divided by the total number of values. This indicator of the central tendency is usually referred to as the "average".

The total number of gallons of milk consumed is:

\((7 \times 3) + (9 \times 4) + (7 \times 7) \\= 21 + 36 + 49 = 106\)

The total number of families is \(7 + 9 + 7 = 23\)

Therefore, the mean number of gallons of milk consumed last month is:

\(106/23 = 4.61\) gallons

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