rate of change is 1 and point is (-3,-3) what is the slope intercept

The required equation of the line in slope-intercept form is y = 2x + 24.

To find the slope-intercept form of a line, we need to use the formula: y = mx + b

Where "m" is the slope and "b" is the y-intercept.

Here,

To find the slope of the line passing through the two given points (-2,20) and (-1,22), we can use the slope formula:

m = (y₂ - y₁) / (x₁ - x₁)

where (x₁, y₂) = (-2,20) and (x₁, y₂) = (-1,22).

m = (22 - 20) / (-1 - (-2))

m = 2 / 1

m = 2

Now that we have the slope, we can use one of the given points and the slope to find the y-intercept. Let's use the point (-2,20):

y = mx + b

20 = 2(-2) + b

20 = -4 + b

b = 24

Therefore, the equation of the line in slope-intercept form is y = 2x + 24.

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The measure of the central angle defined by the arc in radians can be found using the formula:

θ = s/r

where θ is the central angle in radians, s is the arc length, and r is the radius.

Plugging in the given values:

θ = (23π)/(23)

θ = π

Therefore, the correct answer is e. None of these are correct, as the measure of the central angle in radians is π.

Answer: 1.64. To find the difference in orders of magnitude between the two distances, we first need to convert both distances to the same unit of measurement. We'll convert both distances to kilometers.

The distance from Boone to Charlotte is already in kilometers, so we don't need to do any conversion for that distance.
The distance from Boone to Anchorage is in miles, so we'll need to convert that distance to kilometers. To do this, we'll multiply the number of miles by the conversion factor 1.61 km/mi:
4,212.7 mi × 1.61 km/mi = 6,782.45 km

Now that both distances are in kilometers, we can compare them to find the difference in orders of magnitude. An order of magnitude is a factor of 10, so we'll divide the larger distance by the smaller distance and then take the base 10 logarithm of the result:
log10(6,782.45 km / 156.6 km) = log10(43.3) ≈ 1.64
So the distance from Boone to Anchorage is about 1.64 orders of magnitude larger than the distance from Boone to Charlotte.

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Answer: no

Step-by-step explanation:

1         2       3      4    5     6      7    8     9   10    11    12    13   14  15 16   17
13.4 12.8   12.2 11.6 11  10.4  9.8 9.2 8.6  8    7.4  6.8  6.2  5.6 5 4.4  3.8

18  19    20  21

3.2  2.6  2    1.4

With this table, you can see that Diego and his family would only make it to 21 days before the warning light comes on.

Answer:              The equation is 117 = 2x + (x + 12) + (3x - 9)         The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Step-by-step explanation:

Let x represent the length of the shortest sides

The equation for the problem is:

117 = 2x + (x + 12) + (3x - 9)

Simplify:

117 = 6x + 3

114 = 6x

19 = x

Plug x in for all the sides:

Short sides = 19 cm

Third side = (19) + 12 = 31 cm

Fourth side = 3(19) - 9 = 57 - 9 = 48 cm

Sentence:

The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Hope this helps!

Answer:1 4/10

Step-by-step explanation:

We can reduce this to lowest terms by dividing the numerator and denominator or 4/10 by 2 to get the equivalent fraction 1 and 2/5

While waiting for your sister to finish her bungee jump, you decide to figure out how tall the platform she is jumping off is. The height of the platform is 106ft.

We can use trigonometry to find the height of the platform.

Let's h represent the height of the platform. The angle between the ground and our line of sight to the top of the platform is 90 - 62 = 28 degrees.

The distance between our position and the top of the platform is the hypotenuse of a right triangle with one leg of length 200 feet and an angle of 28 degrees. We can use the tangent function to find the height of the platform:

tan(28) = h/200

To solve for h, we can multiply both sides by 200:

h = 200 * tan(28)

h = 200 * 0.532

h = 106 feet

Therefore, the platform is approximately 106 feet tall.

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Step-by-step explanation:

4y = - 4x +20 (2x) + 4y = 12

4y = -4x + 40x + 4y = 12

36x = 4y - 4y _12

36 x = 12

÷12

36x ÷ 12 = 12 ÷ 12

3x = 1

÷3

3x ÷ 3 =1

x = 1 over 3

Answer: 171

Step-by-step explanation:

If r=20 and q=76 and they're directly proportional, multiply r×3.8

20×3.8=76

The multiplication factor is 3.8, so apply it to when r=45

45×3.8=171

Answer:

(x + 4)2 = -26 x = -4 ± √26

Step-by-step explanation: x2 + 8x + 30 = 0

x2 + 8x = -30

x2 + 8x + (8/2)2 = -30 + (8/2)2

(x + 4)2 = -22

x + 4 = ±√22

x = -4 ± √22

math sucks lol

The pOH of a solution containing [OH-] = 4.91 x 10-11 mol L-1 is 10.3. We can round the pOH to 10.3.

The pOH of a solution is the negative logarithm of the concentration of hydroxide ions (OH-) in the solution. It can be calculated using the formula:

pOH = -log[OH-]

In this case, the concentration of hydroxide ions is [OH-] = 4.91 x 10-11 mol L-1. Plugging this value into the formula, we get:

pOH = -log(4.91 x 10-11)

Using a calculator, we can find the pOH to be 10.309.

To report the answer to at least 1 decimal place, we can round the pOH to 10.3.

Therefore, the pOH of a solution containing [OH-] = 4.91 x 10-11 mol L-1 is 10.3.

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Answer: It is and answer that is not known yet

Step-by-step explanation: so 5x5=x x would be 25

You are correct that one way to simplify a payoff table is to reject dominated or inadmissible actions.

This means identifying choices that should not be made because there are other choices that are always better.

To determine if an action q is dominated by another action r, we can compare the payoffs for each state of the world j (from 1 to S) for both actions. If the payoff Cij for action q is less than or equal to the payoff Caj for action r for all j, and there is at least one value of j for which Cij is less than Caj, then action q is dominated by action r.

In other words, if there is another action that always has a higher payoff than action q, regardless of the state of the world, then action q is dominated and should not be chosen.

By rejecting dominated actions, we can simplify the payoff table and focus on the remaining actions that have the potential to provide the highest payoffs. This can help us make more informed decisions and choose the best course of action.

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Carter will have to work about 33 hours in order to save $300.

To find out how many hours Carter will have to work in order to save $300, we can use the following steps:

1. First, we need to determine how much Carter saves per hour. Since he saves (3)/(5) of his earnings, we can multiply his hourly wage by (3)/(5) to find out how much he saves per hour:

$15.25 * (3)/(5) = $9.15

2. Next, we need to determine how many hours Carter will have to work in order to save $300. To do this, we can divide $300 by the amount he saves per hour:

$300 / $9.15 = 32.79 hours

3. Since Carter can't work a fraction of an hour, we'll round up to the nearest whole hour:

33 hours

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The polynomial of best fit for this set of points is p(x) = a0 + a1x + a2x^2, where a0, a1, and a2 are the coefficients that minimize the sum of the squared differences between the actual y-values and the predicted y-values of the polynomial.

The polynomial of best fit for a set of points is the polynomial that most closely fits the points. In order to find the polynomial of best fit, we need to use the method of least squares. This involves finding the coefficients a0, a1, and a2 that minimize the sum of the squared differences between the actual y-values and the predicted y-values of the polynomial.

1. First, we need to set up a system of equations using the given points:
a0 + a1(x1) + a2(x1)^2 = y1
a0 + a1(x2) + a2(x2)^2 = y2
a0 + a1(x3) + a2(x3)^2 = y3

2. Next, we need to solve this system of equations for a0, a1, and a2. This can be done using matrix operations or by using substitution and elimination.

3. Once we have found the values of a0, a1, and a2, we can plug them back into the equation for the polynomial of best fit:
p(x) = a0 + a1x + a2x^2

4. Finally, we can use this polynomial to make predictions for other x-values and compare them to the actual y-values to see how well the polynomial fits the data.

So, the polynomial of best fit for this set of points is p(x) = a0 + a1x + a2x^2, where a0, a1, and a2 are the coefficients that minimize the sum of the squared differences between the actual y-values and the predicted y-values of the polynomial.

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The following are the values for the missing measures of x in the set of similar polygons:

1). x = 14

2). x = 9

3). x = 3

4). x = 2.

Given that each set of polygons are similar so:

1). 4/10 = 5.6/x

x = (5.6 × 10)/4 {cross multiplication}

x = 56/4

x = 14

2). x/18 = 6/12

x = (6 × 18)/12 {cross multiplication}

x = 9

3). x/4 = 4.5/6

x = (4.5 × 4)/6 {cross multiplication}

x = 18/6

x = 3

4). x/8 = 5/20

x = (8 × 5)/20 {cross multiplication}

x = 4/2

x = 2

The following are the values for the missing measures of x in the set of similar polygons:

1). x = 14

2). x = 9

3). x = 3

4). x = 2.

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A box and whisker plot is the appropriate display for the data, as it shows the minimum and the maximum value of the data-set, while the range is the difference of the maximum value by the minimum value.

From left to right, the five features of the box and whisker plot are listed as follows

The range of a data-set is given as follows:

Range = Maximum value - Minimum value.

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Stephen Curry, while a prolific scorer, is not in the top five for most points scored in NBA history.

The player with the most points in NBA history is c) Kareem Abdul-Jabbar. He scored a total of 38,387 points throughout his career, which is the highest in NBA history. Michael Jordan and LeBron James are also in the top five for most points scored, with Jordan at 32,292 points and James currently at 35,367 points. Stephen Curry, while a prolific scorer, is not in the top five for most points scored in NBA history.

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Answer:

x = 32

Step-by-step explanation:

(41)² - (40)² = 1681 - 1600

= 81

[tex] \sqrt{81} = 9[/tex]

|EC| = 9

x = 41 - 9

x = 32

The 2 triangles share 2 sides of common lengths and a common angle between these sides, therefore they are congruent.

The equation of the parabola in intercept form is y = -6(x+ 16 )(x + 2).    

A parabola is a type of curve that is formed when a point called the focus moves along a straight line called the directrix.

In other words a parabola is defined as the set of all points in a plane that are equidistant to the focus and the directrix.

The shape of a parabola is similar to a U or a V shape, and it can either be open upwards or downwards, depending on the orientation of the curve.

The Intercept form of a parabola is given by

                             y = a(x - p)(x - q)  

Where p and q are the x - coordinates at which the parabola crosses the x-axis (i.e, the x-intercepts).

Here we have

The parabola in intercept form that passes through (-18,72) with x-intercepts of -16 and -2

Let y = a(x-p)(x-q) is the equation of parabola    

From the data, x-intercepts p = - 16 and p = -2

=> y = a(x+ 16 )(x + 2)  ---- (1)

Given that the parabola passes through (-18, 72)

=> 72 = a(- 18 + 16 )(-8 + 2)  

=> 72 = a(-2)(-6)  

=> 72 = - 12a

=>  a = - 6

Substitute a = -6 in equation (1)

=> y = -6(x+ 16 )(x + 2)        

Therefore,

The equation of the parabola in intercept form is y = -6(x+ 16 )(x + 2).    

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The answer is (r, θ) = (5, π).

To convert the rectangular coordinates (-5,0) to polar coordinates (r, θ) with r > 0 and 0 < θ < 2π, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

First, we need to find the value of r.

r = √((-5)² + (0)²)

r = √(25 + 0)

r = 5

Next, we need to find the value of θ.

θ = tan⁻¹(0/(-5))

θ = tan⁻¹(0)

θ = 0

However, since we need 0 < θ < 2π and the point (-5,0) is in the second quadrant, we need to add π to our θ value.

θ = 0 + π

θ = π

So, the polar coordinates of the point (-5,0) are (r, θ) = (5, π).

Therefore, the answer is (r, θ) = (5, π).

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Answer:

The possible number of hours Yolanda could rent the boat is 6 hours. I hope this isn't too late, and it's not incorrect lol

Step-by-step explanation:

7t - 3 ≤ 39

*We add 3 to both sides, which will cancel out the 3.*

7t ≤ 42

*We divide 42 by 7 to isolate the variable*

t ≤ 6

There are 360 permutations of 4 item programs for a teacher's program.

A permutation is an arrangement of items in a specific order. To find the number of permutations of 4 items from a set of 6 items, we can use the formula:

nPr = n! / (n-r)!

Where n is the total number of items, r is the number of items we want to choose, and n! is the factorial of n (n * (n-1) * (n-2) * ... * 1).

Plugging in the given values, we get:

6P4 = 6! / (6-4)!

= 6! / 2!

= (6 * 5 * 4 * 3 * 2 * 1) / (2 * 1)

= 720 / 2

= 360

Therefore, there are 360 permutations of 4 item programs for a teacher's program.

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Answer:

$1,111.88

Step-by-step explanation:

To calculate the monthly payment for a $60,000 loan compounded monthly for 5 years at a 4.0% interest rate, we can use the formula:

P = PV(i / (1 - (1 + i)^(-n)))

where:

P = monthly payment

PV = present value or loan amount

i = interest rate per period

n = total number of periods

In this case, the loan amount is $60,000, the interest rate per period is 4.0% / 12 = 0.00333, and the total number of periods is 5 years x 12 months/year = 60 months.

Substituting these values into the formula, we get:

P = 60000(0.00333 / (1 - (1 + 0.00333)^(-60)))

P = $1,111.88 (rounded to the nearest cent)

Therefore, the monthly payment for a $60,000 loan compounded monthly for 5 years at a 4.0% interest rate is $1,111.88.

The domain is the set of all t-value (inputs) used by the function/graph.

The least t-value is 0.  The greatest is 4.

The domain is [0,4].

The domain of graph for function h(t) is [0,4].

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values of a function like f(x) are part of this collection. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

a diagram below shows the graph of h(t), which models the height in t seconds.

we know that the domain are the input values.

Here the domain is the set of all t-value used in the graph.

So, from the graph we can see that the least t-value is 0 and the greatest is 4.

Thus, the domain of graph is [0,4].

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If Jen has 72 green marbles, then she has 81 purple marbles.

If Jen has 8 green marbles for every 9 purple marbles, then the ratio of green marbles to purple marbles is 8:9.

If Jen has 72 green marbles, we can use this ratio to determine how many purple marbles she has.

Let's set up a proportion

8/9 = 72/x

where x is the number of purple marbles Jen has.

To solve for x, we can cross-multiply:

8x = 9 × 72

Multiply the terms

8x = 648

Move 8 to right hand side

x = 648 / 8

Divide the numbers

x = 81

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Answer:

Step-by-step explanatio

The zeros of the function are: x = 1, x = -3, and the other two zeros may be irrational or complex.

A function is a mathematical rule that assigns a unique output value for each input value. It is a set of ordered pairs where the first element is the input and the second element is the output.

Using the Rational Root Theorem, the possible rational roots of the polynomial function F(x) = x⁴ - 2x³ - 6x² + 22x - 15 are:

±1, ±3, ±5, ±15

Using synthetic division, we can find that x = 1 and x = -3 are zeros of the function. Therefore, the zeros of the function are:

x = 1, x = -3, and the other two zeros may be irrational or complex.

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