The table shows a function. Is the function linear or nonlinear?
x y
7 20
8 12
9 7

Answer:

if sam paid 500$ that would mean he would be a gym member for 20 months.

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

Answer:

hello there here is your answer

51 is your next term.

Step-by-step explanation:

you are subtracting 9 from each number

95-9= 86

86-9=78

78-9=65

65-9=60

60-9=51

so on and so on

Hope this help

have a good day

bye

Step-by-step explanation:

\(here \: is \: your \: solution: - \\ \\ given \: number \: = 95.86.78.71.65.60 \\ \\ = > 95 - 9 = 86 \\ \\ = > 86 - 8 = 78 \\ \\ = > 78 - 7 = 71 \\ \\ = > 71 - 6 = 65 \\ \\ = > 65 - 5 = 60 \\ \\ \: now \: follow \: the \: sequence \: \\ \\ subtract \: 4 \: from \: 60 \\ \\ = > 60 - 4 = 56 \\ \\ = > \: \: 56 \: \:( ANSWER✓✓✓)\)

The percentage of the data values that are greater than 130 is 25%

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

The box plot

From the box plot, the five-number summary are

40, 70, 110, 130, and 150

In the above five-number summary, we have

Third quartile = 130

This means that the percentage of the data values that are greater than 130 is 25%

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The length of the curve is given by the integral of the magnitude of the velocity vector, which is the derivative of the position vector. Taking the derivative of the position vector, we get the velocity vector as follows:

v(t) = 6i + 24t1/2j + 12tk

The magnitude of this vector is

√(6²+ 24²t + 12²t²)

= √(36 + 576t + 144t²).

To find the length of the curve, we need to integrate this magnitude from t=0 to t=1. This is given by the integral:

L = ∫0² √(36 + 576t + 144t²)dt

This evaluates to L = 18.75. Therefore, the length of the curve is 18.75.

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The shape of y = |x| stretched vertically by a factor of 7 is y = |x| + 7.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = |x|

The function is stretched vertically by a factor of 7.

Vertically means in the y-axis.

Stretched means increased in size.

This means,

y = |x| + 7

Thus,

y = |x| + 7 is the shape of y = |x| stretched vertically by a factor of 7.

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Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

The height of the candle after 4 hours is equal to 18 centimeters.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points and slope on the line:

Points on x-axis = (4, 8).

Points on y-axis = (h, 20).

Slope = -0.5

Substituting the given data points into the slope formula, we have the following;

-0.5 = (20 - h)/(8 - 4)

-0.5 = (20 - h)/4

2 = 20 - h

h = 20 - 2

Height, h = 18 cm.

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

the answer is 2099

Step-by-step explanation:

after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

3.3m

Step-by-step explanation:

Answer:

\(^{-1}/_{5}x-7y\)

Step-by-step explanation:

Our equation is

\((^{3}/_{5}-5y)-(^{4}/_{5}+2y)\)

now we distribute the - and we get

\(^{3}/_{5}-5y-^{4}/_{5}-2y\)

\(Combine\) \(like\) \(terms\)

and now we have \(^{-1}/_{5}x-7y\)

I assume \(m,n\) are integers to avoid (ir)rational powers of -1.

If \(m,n\) are both even, or if \(m=n\), then

\(\displaystyle \lim_{n\to-1} \frac{x^m+1}{x^n+1} = \frac{1+1}{1+1} = 1\)

If \(m,n\) are both odd and \(m\neq n\), then we can factorize

\(\dfrac{x^m+1}{x^n+1} = \dfrac{(x+1)(x^{m-1} - x^{m-2} + \cdots - x + 1)}{(x+1)(x^{n-1}-x^{n-2}+\cdots-x+1)}\)

Note that there are \(m\) terms in the numerator and \(n\) terms in the denominator.

In the limit, the factors of \(x+1\) cancel and

\(\displaystyle \lim_{x\to-1} \frac{x^m+1}{x^n+1} = \lim_{x\to-1} \frac{x^{m-1} - x^{m-2} + \cdots - x + 1}{x^{n-1}-x^{n-2}+\cdots-x+1} \\\\ ~~~~~~~~~~~~~~~~~~= \dfrac{1-(-1)+1-(-1)+\cdots-(-1)+1}{1-(-1)+1-(-1)+\cdots-(-1)+1} \\\\ ~~~~~~~~~~~~~~~~~~=\frac{1+1+\cdots+1}{1+1+\cdots+1} = \dfrac mn\)

If \(m\) is even and \(n\) is odd, then we can only factorize the denominator and the discontinuity at \(x=-1\) is nonremovable, so

\(\displaystyle \lim_{x\to-1}\frac{x^m+1}{x^n+1} = \lim_{x\to-1} \frac{x^m+1}{(x+1)(x^{n-1}-x^{n-2}+\cdots-x+1)} \\\\ ~~~~~~~~~~~~~~~~~~= \frac2m \lim_{x\to-1} \frac1{x+1}\)

which does not exist.

If \(m\) is odd and \(n\) is even, then we can factorize the numerator so that

\(\displaystyle \lim_{x\to-1}\frac{x^m+1}{x^n+1} = \lim_{x\to-1} \frac{(x+1)(x^{m-1}-x^{m-2} +\cdots -x+1)}{x^n+1} \\\\ ~~~~~~~~~~~~~~~~~~= \frac{0m}2 = 0\)

The difference between the area of Figure A and the areas of Figure B is 2 ft².

The difference between the area of the two figures, Figure A and  Figure B is determined by finding the area of the two figures.

The area of Figure A is found as follows:

The area of A = 3 × 4

The area of A = 12 ft²

The area of B = ½ × 4 × 3 + ½ × 4 × 2

The area of B = 10 ft²

Difference between the area of A and B = 12 - 10 ft²

Difference between the area of A and B = 2 ft²

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Answer:

b should be 4.

Step-by-step explanation:

Put the numbers shown in the problem (10, 5, 8) and b into an equation.

10/5 = 8/b

Multiply both sides by b

10/5b = 8

2b = 8

b = 4

b should be 4 in this case.

In Romanian:

Puneți numerele prezentate în problemă (10, 5, 8) și b într-o ecuație.

10/5 = 8 / b

Înmulțiți ambele părți cu b

10 / 5b = 8

2b = 8

b = 4

b ar trebui să fie 4 în acest caz.

Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

Answer:

the answer will be the image

Step-by-step explanation:

thank's brainleist rate and like

Answer:

\(-\frac{8}{5}\)

Step-by-step explanation:

First, let's write both of these numbers as improper fractions. We find that \(1\frac{4}{5}\) becomes \(\frac{9}{5}\) , and \(-3\frac{4}{10}\) becomes \(-\frac{34}{10}\) . Be mindful that when adding two fractions, the denominator must be the same. So we now must make \(\frac{9}{5}\) into \(\frac{18}{10}\) . (I did this by doing : \(\frac{9}{5}\) × \(\frac{2}{2}\) \(=\)\(\frac{18}{10}\) ) Now we just have to add the two fractions. \(\frac{18}{10} + (-\frac{34}{10} ) = \frac{18}{10} -\frac{34}{10} = -\frac{16}{10}\) . \(-\frac{16}{10}\) can further be simplified into \(-\frac{8}{5}\) .

Answer:

\( - 6x = 3 {x}^{2} + 9 \\ 3 {x}^{2} + 6x + 9 = 0 \\ {x}^{2} + 2x + 3 = 0 \\ so \\ ether \: x = - 2 \\ or \: x = 1 \)

Answer:

N=7

Step-by-step explanation:

It is correct on Khan

Por lo tanto, la altura del árbol es aproximadamente 6 metros.Para calcular la altura de un árbol, podemos utilizar trigonometría y el concepto de tangente. Si nos situamos a una distancia de 8 metros de la base del árbol y vemos la parte superior de su copa en un ángulo de 36.87°, podemos utilizar la tangente de dicho ángulo para determinar la altura.

La tangente de un ángulo se define como la razón entre el cateto opuesto y el cateto adyacente. En este caso, el cateto opuesto es la altura del árbol y el cateto adyacente es la distancia desde la base hasta nuestro punto de observación.

La fórmula para calcular la altura es:

altura = distancia * tangente(ángulo)

Sustituyendo los valores conocidos, tenemos:

altura = 8 * tangente(36.87°)

Utilizando una calculadora, encontramos que la tangente de 36.87° es aproximadamente 0.75. Por lo tanto:

altura ≈ 8 * 0.75

≈ 6.

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

The function is undefined for those values of x where the denominator is zero.

The reciprocal identity for sine, cosine, and tangent states that:

sin(x) = 1/csc(x)

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.

For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.

Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.

Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.

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Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

Answer:

2years 6 months

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

I = P × R × T/100

Solving our equation:

$350 = $3500 × 4 × T /100

Let's solve your equation step-by-step.

350=(3500)(4)t/100

Step 1: Multiply both sides by 100.

350=(3500)(4)t/100

(350)*(100)=((3500)(4)t/100)*(100)

35000=(3500)(4)t

Step 2: Simplify both sides of the equation.

35000=14000t

Step 3: Flip the equation.

14000t=35000

Step 4: Divide both sides by 14000.

14000t/14000=35000/14000

t=5/2

t = 2.5 years

2.5 years = 2years 6 months

Answer:

37.94

Step-by-step explanation:

the 9th percentile is equal to a zscore of -1.34

-1.34=(x-50)/9

x=37.94