Find a solution to the linear equation y=-4x+36 by filling in the boxes with a valid value of x and y

Answer:

-12

Step-by-step explanation:

3/5 * (1 + sqrt(16))^2 - (5 - 2)^3 =

= 3/5 * (1 + 4)^2 - (3)^3

= 3/5 * (5)^2 - 27

= 3/5 * 25 - 27

= 15 - 27

= -12

The conversion and subtraction in the decimal base gives;;

a)  12 ten

b)  73 ten

The number base serves as the basis for carrying out a mathematical expression. In this case, we have been told that the number base in which the numbers that have been give are is base five and we are to convert the numbers to the decimal base.

For the first problem, we have;

34 five = 19 ten

12 five = 7 ten

We then have;

19 - 7 = 12 ten

For the second problem;

432 five = 117 ten

134 five = 44 ten

Then;

117 - 44 = 73 ten

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In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Therefore, the bones were 6612.5 years old at the time they were discovered.

Given that the radioactive element​ carbon-14 has a​ half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5​% of their​ carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:

Therefore, the bones were 6612.5 years old at the time they were discovered.

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Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.

Step-by-step explanation:

The correct answer is option D. Which is the even function is f (x) = x⁴.

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

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This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Answer:

when you will give us 100 points we will be giving your answers okay dear

Answer:

we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies.

Step-by-step explanation:

Answer:

Basically a Linear function is a function that has at least both of these:

Step-by-step explanation:

1. A slope, Requirement: rate of change stays constant)

2. One input goes to goes to only one output(however a output can have two different inputs but they must only go to that one output).

example:

x     |   y

________

0    |    25

2    |    85

4    |    145

6    |   205

The slope for that example was 60.

you can use slope intercept form to find your answer equation being:

Y = mx + b

y  =  total

m = slope

x =  domain

b = y- intercept

Answer:

positive

Step-by-step explanation:

-8+20 will have a positive sum because the positive number 20 is greater than the negative number 8

Answer:

Positive

Step-by-step explanation:

Without adding you can tell wether a number is positive or negative with addition because it is basically a number line. Think of subtracting -8 from 0 which would give you -8. Now add 20 to it causing it to get out of the negatives and become positive.

Answer:-2>-5

Step-by-step explanation:

if u look at a number line u see that -2 is closer to 0 witch means its greater

Answer:c is the correct ans

Step-by-step explanation:

Feel pleasure to help u

Answer:

B-. More than one unique triangle exists with the given side lengths.

Step-by-step explanation:

according to to tringle inequality theorem he sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some cal. are preforemed below

12+15>18

15+18>12

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer:

C. None of the above

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.

Let the number is n.

The phrase can be expressed as,

2n - 4.

Therefore, the expression is 2n - 4.

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Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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-16p was my answer after simplifying it

Answer:

120p - 16p = 104p

Step-by-step explanation:

-3p x -3p = 9p + 6p = 15p x 8p = 120p

8p x -2 = -16p

120p - 16p = 104p

Please wait for more responses if needed thank you.

Answer:

She will work 20 hours in December

Step-by-step explanation:

Answer:

the number is 26

Step-by-step explanation:

x+3x+5=33

4x+5=33

4x=28

x=7

3(7)+5=26

Answer:

  39.5 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.

  Tan = Opposite/Adjacent

This lets us write two equations in two unknowns:

  tan(67°) = AD/CD . . . . . . . . . . angle at guy point

  tan(39°) = AD/(CD+32) . . . . . .angle 32' farther

__

Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.

  CD = AD/tan(67°)

  tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation

  tan(39°)(AD/tan(67°) +32) = AD

  32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term

  32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient

  AD ≈ 39.486 . . . . feet

The tower is about 39.5 feet high.

Answer:

as probability of this is higher than 0.05 level this is not significantly high number .

Step-by-step explanation:

we have here a binomial distribution with the following data:

p = 0.76 and n = 8

therefore probability that a least 7 of the 8 adults require eyesight correction is P (X> = 7)

 P (X> = 7) = P (X = 7) + P (X = 8) = nCr * (p) ^ (n) * (1-p) ^ (n-r)

= (8C7) * (0.76) ^ 8 * (0.24) ^ (8-7) + (8C8) * (0.76) ^ 8 * (0.24) ^ (8-8)

nCr = n! / (r! * (n-r)!

replacing:

(8C7) = 8! / (7! * (8-7)!) = 8

(8C8) = 8! / (8! * (8-8)!) = 1

P (X> = 7) = 8 * 0.0267 + 1 * 0.11130 = 0.325

as probability of this is higher than 0.05 level this is not significantly high number .