what's y=1/4x-4 on a graph? please helppppppp!!!!

The values of x are [tex]\frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex] and y are [tex]\frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex].

Given Equations,

4x² + x - y = 0 ...(1)

-x² - 5x + y - 9 = 0

The above equation can be written as:

-x² - 5x + y = 9 ...(2)

Using the elimination method, the second term of both equations can be eliminated by adding the equations.

Therefore,

4x² +  x  - y = 0

-x² - 5x + y = 9

_____________

3x² - 4x = 9

Using the Completing the square method,

3x² - 4x = 9

Divide the equation by 3 on both sides,

[tex]x^{2} - \frac{4}{3}x = 3[/tex]

[tex]x^{2} - \frac{4}{3}x + (\frac{2}{3}) ^{2} = 3 + (\frac{2}{3}) ^{2[/tex]

[tex]( x - \frac{2}{3})^{2} = 3 + \frac{4}{9}[/tex]

[tex]( x - \frac{2}{3})^{2} = \frac{31}{9}[/tex]

[tex]( x - \frac{2}{3}) = \sqrt{\frac{31}{9}}[/tex]

[tex]x = \frac{\sqrt{31} }{3} + \frac{2}{3} , - \frac{\sqrt{31} }{3} + \frac{2}{3}[/tex]

[tex]x = \frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex]

Now, Put the value of x  in equation (1), we get the value of y.

4x² + x - y = 0

y = 4x² + x

[tex]y = 4( \frac{\sqrt{31} + 2 }{3})^{2} + \frac{\sqrt{31} + 2 }{3} , 4( \frac{-\sqrt{31} + 2 }{3})^{2} + \frac{-\sqrt{31} + 2 }{3}[/tex]

[tex]y = \frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex]

Therefore,

the values of x are [tex]\frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex] and y are [tex]\frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex].

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Answer:

c=71

Step-by-step explanation:

852=12c

852=12x71

Answer:

[tex] \sf \: c = 71[/tex]

Step-by-step explanation:

Given equation,

→ 852 = 12c

Now the value of c will be,

→ 852 = 12c

→ 12c = 852

→ c = 852 ÷ 12

→ [ c = 71 ]

Hence, the value of c is 71.

Social inequality in class 9 refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. It can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.

In class 9, social inequality may be discussed in relation to various social issues, such as racial and ethnic inequality, gender inequality, and inequality based on sexual orientation, disability, and age. These issues can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.

Social inequality in class 9 may also be discussed in relation to broader societal issues, such as poverty, unemployment, and lack of access to healthcare and education. These issues can contribute to a cycle of disadvantage and can perpetuate social inequality.

It's worth noting that social inequality is often interconnected with other forms of inequality such as economic and educational inequality, and understanding how these inequalities interact is crucial to understand and address social inequality.

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The system of inequalities that shows the possible number of tables that the senior class can rent is x + y ≥ 65 and 12x + 9y ≤ 2000

An equation is an expression that shows the relationship between variables and numbers.

Inequalities are used to show the nonequal comparison of numbers and variables.

Let x represent the number of round tables and y represent the number of square tables.

Each round table weighs 12 pounds, and each square table weighs 9 pounds. They need a minimum of 65 tables altogether, hence:

x + y ≥ 65      (1)

Also, The maximum weight that a delivery truck can carry is 2000 pounds, hence:

12x + 9y ≤ 2000     (2)

The system of inequalities is x + y ≥ 65 and 12x + 9y ≤ 2000

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If we want to be able to represent every hexadecimal value from 016 to ff16, the number of bits we need would be 8 bits.

The term hexadecimal refers to a numbering system in base 16. It can be used to represent large numbers with fewer digits. Most number systems are in decimal or base ten, however, hexadecimal is a type of number system which is in base 16. Hexadecimal has the base ten numbers from 0 to 9 and followed by six alphabetic characters A, B, C, D, E, and F. To represent every hexadecimal value from 016 to ff16, 8 bits will be needed.

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Answer:

Let x be the amount of currency deposited

The checks deposited were 2x

The total deposit is x+2x = 3*x = 793

x = 793/3 = $264

So, Alicia deposited $264 in currency.

The product of (−21)(19)(−5) is 1995.

What is product?

In mathematics, the product is the result of multiplying two or more numbers or expressions together. The product is an important concept in mathematics and is used in many areas, including arithmetic, algebra, calculus, and geometry.

The problem asks us to find the product of (−21)(19)(−5). To solve this problem, we can multiply the three numbers together in any order because multiplication is associative.

So, let's multiply the numbers from left to right:

(−21)(19)(−5) = (−399)(−5)

We then simplify this expression by multiplying -399 and -5 together:

(−399)(−5) = 1995

Therefore, the product of (−21)(19)(−5) is -1995.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given steps are :

[tex]\qquad \sf  \dashrightarrow \: 144 {x}^{2} - 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(6x + 5)(6x - 5)[/tex]

The error is in third step ~

Correct method :

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[ take 2 common out of both ]

[tex]\qquad \sf  \dashrightarrow \:2 (6x + 5) \sdot2(6x - 5)[/tex]

[ 2 times 2 will be 4 ]

[tex]\qquad \sf  \dashrightarrow \: 4(6x +5 )(6x - 5)[/tex]

For polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) after dilation the vertices will be

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem, for r = 1/4 we have

preimage                                     image

A (-4, 6)   → (1/4 * -4, 1/4 * 6) →   A' (-1, 3/2)

B (−2, 2)   → (1/4 * -2, 1/4 * 2) →  B' (-1/2, 1/2)

C (4, −2)  → (1/4 * 4, 1/4 * -2) →   C' (1, -1/2)

D (4, 4)   → (1/4 * 4, 1/4 * 4)   →  D' (1, 1)

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Answer:

Third Answer Choice....A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

Step-by-step explanation:

1/4 = 0.25

Multiply by every number

A' = ( -1, 1.5 )
B' = ( -0.5, 0.5 )
C' = ( 1, -0.5)
D' = (1, 1)

If it says its wrong i dont even know whys that, because this is the only way i know that everyone can solve easily

Answer:

4x-12

Step-by-step explanation:

do -1(2x+5)  -> -2x-5

combine like terms

6x - 7 - 2x - 5  -> 4x -12

Answer:

4(x-3)

Step-by-step explanation:

6x - 7 - 1(2x + 5)

6x - 7 - 2x - 5

6x - 7 - 2x - 5

6x - 12 - 2x

6x - 12 - 2x

4x - 12

4 (x - 3)

ANSWER

4(x- 3)

Answer:

No Solution

Step-by-step explanation:

4(x+3)=3x+2+x

4x+12=3x+2+x

4x+12=4x+2

0=-10

The equation has no solutions.

Hope this helped! :)

The change of base formula states that for any logarithm base b and any positive number x: log_b(x) = (log_c(x)) / (log_c(b)), where c is any base.

The change of base formula is a mathematical formula that allows you to convert a logarithm with one base to a logarithm with another base. The formula states that for any logarithm base b and any positive number x: log_b(x) = (log_c(x)) / (log_c(b)), where c is any base.

One way to prove this is to use the properties of logarithms:

Using these properties, we can write log_b(x) as:

log_b(x) = log_b([tex]c^{(log_c(x))}[/tex])

log_b(x) = log_b([tex]c^{(log_c(x))}[/tex]) / log_b(c¹)

log_b(x) = log_c(x) / log_c(b)

Therefore, the change of base formula is proven.

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Yes, number 2 and number 3 represents they are prime number as the number has only two factors one and the number itself.

As given in the question,

Given numbers are equal to :

2 and 3.

Prime numbers are those number which has only two factors one and the number itself.

Prime number does not get exactly divided by any other number except itself and one.

Factors of 2 are as follow :

1 and 2

Factors of 3 are as follow :

1 and 3

Therefore, number 2 and number 3 are considered a prime numbers as both the numbers has only two factors one and the number itself.

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Answer:

You have to add them all you will get 2,455 then you divide by how many numbers are there so there's 7 numbers so 2,455 divided by 7 equals=350 is the answer rounded to the nearest tenth

Answer:

do 3*4 then divide by 12

Step-by-step explanation:

The coordinate of a point is its location on a grid. The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

Coordinate points:

A set of values that show an exact position on graphs is usually a pair of numbers. The first number shows the distance along, and the second number shows the distance up or down.

One number line is horizontal and is called the x-axis, and the other number line is the vertical number line and is called the y-axis. The two axes meet at a point called the origin.

The coordinate is given as:

[tex]Point=(2\frac{1}{2} ,-4)[/tex]

Express as decimals

Point=(-2.5,-4)

The above point means that:

X=-2.5

y=-4

Therefore, The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

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Answer:

D. 28 units

Step-by-step explanation:

Add up all the units on each side

Going clockwise starting from the top:

5, 5, 1, 2, 3, 1, 3, 8

Add them all together

5 + 5 + 1 + 2 + 3 + 1 + 3 + 8 = 28

The range of pixel values in digital images is typically 0-255 because it corresponds to the number of bits used to represent each pixel. Most image file formats use 8 bits per color channel (red, green, and blue) to represent each pixel, and 8 bits can store a maximum of [tex]2^8[/tex] = 256 different values, with one of the values being reserved for transparency.

When working with 8-bit images, each color channel can take on one of 256 different values, from 0 to 255. This is known as an 8-bit color depth. Each pixel in the image is represented by a combination of red, green, and blue values, so the total number of possible colors is 256 x 256 x 256 = 16,777,216.

The use of 8-bit color depth allows for a wide range of colors to be represented in an image, while also being small enough to be easily stored and transmitted.

Also, it's worth mentioning that with the development of technology, the use of high-bit color-depth images has become more common in the field of photography, digital art, and video, where 16-bit and 32-bit color depths are frequently used.

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Answer:

1-Pythagorean Theorem

2-Area

3-Perimeter

4-Pythagorean Triple

5-Hypotenuse

6-Pythagorean Theorem Converse

7-Pythagorean Theorem

8-Legs

The Pythagorean Theorem is a mathematical formula used to find the length of the missing side of a right triangle. It states that the sum of the squares of the lengths of the two shorter sides (known as the legs) of the triangle is equal to the square of the length of the longest side (the hypotenuse).

The area of a space refers to the amount of two-dimensional space that it occupies. For example, the area of a rectangle can be found by multiplying its length by its width.

The perimeter is the distance around the outside of a shape, often used in polygons and closed figures.

A Pythagorean triple is a set of three integers a, b, and c that satisfy the equation a^2 + b^2 = c^2. These integers correspond to the three sides of a right triangle, with c being the hypotenuse.

The hypotenuse is the side of a right triangle that is opposite from the right angle and is also the longest side of a right triangle.

The Pythagorean Theorem Converse states that if the sum of the squares of the two shorter sides of a triangle is equal to the square of the length of the longest side, then the triangle is a right triangle.

The Pythagorean Theorem can be used to find the diagonal distance on a coordinate plane. Given the coordinates of two points, the theorem can be used to calculate the distance between them by making the diagonal distance the hypotenuse.

The legs of a right triangle are the two sides of the triangle that are adjacent (next to) to the right angle.

Uday Tahlan

The value of m from the exponent is 35.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex](x^m)[/tex]³ = [tex](x^{13) ^5[/tex] x [tex](x^{-8}) ^{-5}[/tex]

Now, solving the exponents

[tex](x^m)[/tex]³ = [tex](x^{65})[/tex] x [tex](x^{40}) }[/tex]

Now, using the property

[tex]x^m . x^n = x^{m+n}[/tex]

So, [tex](x^m)[/tex]³ = [tex](x^{65+ 40})[/tex]

[tex](x^{3m})[/tex] = [tex](x^{105})[/tex]

Now, comparing the base

3m = 105

m= 105/3

m= 35

Hence, the value of m is 35.

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Answer:20

Step-by-step explanation:

80 times .25 or 1/4 is 20

Answer:20

Step-by-step explanation:

So, 25% is 1/4 of 100, so if you divide 80 by 4 you get 20, which is 25% of 80.

Another way to do this is on a calculator, do 80 x 25 / 100, this works with finding the percentage of anything!

Before tax, a new video game costs $10.00 in the store London visited

The calculations will be involving 100 because the question is a percentage problem and percent is a fraction of a hundred.

A 20% discount was being offered in the shop London visited. This is equal to 20%, and expressed as

= 20/100

= 0.20.

Discount factor: (1 - 0.2) = 0.8

The price of the video game will be multiplied by the discount factor to determine a new price.

The new video game's selling price before taxes is $50 * 0.2, which equals $10.

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The length of the hypotenuse of the right-angle triangle ΔCDE will be 9 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The triangle ΔCDE is a right-angle triangle. The angle ∠D is a right-angle triangle.

The length of the hypotenuse is given as,

sin 50° = 6.9 / x

0.766 = 6.9 / x

x = 6.9 / 0.766

x = 9.0073 ≈ 9 units

The length of the hypotenuse of the right-angle triangle ΔCDE will be 9 units.

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The weight of the ice changes at the rate of 1.25 lbs. in a half of an hour.

How quickly something evolves over time is referred to as its rate of change (ROC).

Given:

As a block of ice melts,

its weight changes from 1.5 lbs to .25lbs.

That means, the total decay,

1.5 + n = 0.25

n = 1.25 lbs.

This change takes a half of an hour.

So, the rate of change,

1.25 lbs. in a half of an hour.

Therefore, the rate of change is 1.25 lbs. in a half of an hour.

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Answer: 16

Step-by-step explanation:

2 x 2 = 4        2 x 4 = 8           2 x 8 = 16

Answer:

2*2*2*2 in exponential form is 2^4

Step-by-step explanation:

2*2*2*2= 16

2^4=16

Hope this helps :D

Answer:

[tex]f\left(x\right)=\begin{cases}-9x&x\: < \:0\\ \:\:\:9x&x > \:0\end{cases}[/tex]

Step-by-step explanation:

The first thing to note is that absolute value functions are piecewise functions.

A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain or inputs(in this case the x-values).

In this case, the absolute value function is
[tex]f(x) = 9|x|[/tex]

To write this function as a piecewise function you have to use the definition of  [tex]f(x) = |x|[/tex] :

[tex]f\left(x\right)=\begin{cases}-x&x\: < \:0\\ \:\:\:x&x > \:0\end{cases}[/tex]

Applying this to [tex]9|x|[/tex] we multiply each of the parts by 9 to get

[tex]f\left(x\right)=\begin{cases}-9x&x\: < \:0\\ \:\:\:9x&x > \:0\end{cases}[/tex]

At [tex]|x| = 0, f(x) = 9|x| = 0\\[/tex]

The graph of the function is attached for easier understanding

Answer:

There are three general classes of substitution reactions, depending on the following factors.

Reactant or substituent.

Intermediate – carbocation, carbanion, or free radical.

Substrate (compound) – aliphatic or aromatic.

Step-by-step explanation:

Hope it helps!

So on solving the provided question we cans ay that the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10

A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include:  The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example  Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.

Here,

the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10

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The equation for the parabola given is y=(x-2)^2+1.

What is parabola?

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

In general, if the directrix is parallel to the y-axis in the standard equation of a parabola is given as:

y^2 = 4ax

If the parabola is sideways i.e., the directrix is parallel to x-axis, the standard equation of a parabola becomes,

x^2 = 4ay

Apart from these two, the equation of a parabola can also be y2 = -4ax and x2 = -4ay if the parabola is in the negative quadrants.

Now, To find the correct equation from the graph

we can check the equation by putting values

when x then  y

         2          1

          3         2

         4          5

As only equation in option C follows given values

Hence,

           The equation for the parabola given is y=(x-2)^2+1

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