What is the solution set for -4x + 10 ≥ 5x + 55?

To predict the value of y when x=10 is an example of Extrapolation. So, the correct answer is (b) extrapolation.

Extrapolation involves using a mathematical model, such as a line of best fit, to make predictions outside the range of the original data.

In this case, using the equation y = –3x + 21 to predict the value of y when x = 10 is an example of extrapolation because 10 is outside the range of the original x-values.

Using a line of best fit with the equation y = -3x+21 to predict the value of y when x = 10 is an example of extrapolation in statistics.

Extrapolation involves using a mathematical model, such as a line of best fit, to make predictions outside the range of the original data.

Ricardo's next step to construct the circumscribed circle for △XYZ would be to construct the perpendicular bisector of YZ

In this case, constructing the perpendicular bisector of YZ would give Ricardo the center of the circumscribed circle, which is equidistant from the three vertices of the triangle.

Complete Question:

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.

Using a line of best fit with the equation y = –3x + 21 to predict the value of y when x = 10 is an example of

a) correlation

b) extrapolation

c) causation

d) intrapolation

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Answer:

The dogs speed is 38.25 mph

Step-by-step explanation:

8.5 x 4.5 is 38.25. should be correct

Answer:

The dogs speed is 8.5

Step-by-step explanation:

8.5 x 4.5 is 38.25. should be correct

Answer:

See explanation

Step-by-step explanation:

The graph of y = |x| is a graph of the absolute value function, which is a piecewise defined function. The graph of this function is a V-shaped curve, with the vertex of the V at the origin (0,0). The graph of y = |x + 1| + 4 can be obtained by shifting the graph of y = |x| to the right by 1 unit, and then shifting it up by 4 units.

The resulting graph of y = |x + 1| + 4 will be a V-shaped curve with the vertex at the point (1,4). The curve will be shifted to the right and up compared to the graph of y = |x|, and it will have the same general shape as the original graph.

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

The answer is C

Step-by-step explanation:

y = 4x + 12

y = 4(3) + 12

y = 12 + 12

y=24

y = 4x + 12

y = 4(5) + 12

y=20+12

y=32

y = 4x + 12

y = 4(8) + 12

y=32+12

y=44

the correct option for the given Equation at the different values of x will be C.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given y = 4x + 12, using the x-values, 3, 5, and 8.

To find the value of y, at x = 3, 5, and 8

Thus,

For x = 3

y = 4 * 3 + 12

y = 24

For x = 5,

y = 4 * 5 + 12

y = 32

for x = 8

y = 4 * 8 + 12

y = 44

therefore, the correct option for the given Equation at the different values of x will be C.

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Answer:

x = -1/4, or -0.25

Step-by-step explanation:

1/3 + 2/3x = -5/6x - 1/24

first lets write everything in the common denominator of 24

8/24 + 16/24x = -20/24x - 1/24

now we take all our x's onto 1 side, and all our numbers onto the other side

36/24x = -9/24

lets cancel out all the 24's

36x = -9

x = -9/36

now lets simplify

x = -1/4, or -0.25

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

105

Step-by-step explanation:

Answer:

15 x 7 =105

Step-by-step explanation:

Answer:

A' = (-1, 6)

B' = (-2, 1).

C' = (-5, 2).

Step-by-step explanation:

Reflection  over the y-axis--->  (a, b) transforms to (-a, b).

So  A (1, 6) --->   A' (-1, 6).

Answer:

5/7

Step-by-step explanation:

If the tiles are A, A, B, B, B, C, C, then there are 7.

That makes the probability of an A: 2/7

The probability of an B: 3/7

And the probability of an C: 2/7

The probability of a B or C combines 2/7 + 3/7 so: 5/7

The solutions to the given surd problems are:

a) -√2 + 4√3 i

b) 25 + 29i

Surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Surds are also referred to as irrational numbers.

a) We are given the expression:

√18 - √-12 + √-108 - √32

A negative root is a complex number. Thus, we have:

√18 - (√12)i + (√108)i - √32

= 3√2 - 2√3i + 6√3i - 4√2

= -√2 + 4√3 i

b) (2 - 3i)(1 + 5i) + (5 - 4i)(2i - 3)​

= 2 + 7i + 15 + 22i + 8

= 25 + 29i

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Rational numbers are numbers that can be written in form of a fraction. Whereby both numerator and deniminator are integers but the denominator is not zero.

Thus 5.14 can be written as:

Therefore we can say that 5.14 is a rational number

ANSWER:

Yes, 5.14 is a rational number.

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

Answer:

hope it helps, appreciate if you can give brainliests

Answer:

the answer is 70

Step-by-step explanation:

its simple just BASIC =D

but at least its a win win you got yo answer i got my points GOOD DaY

Answer:

1680 ÷ 40320 = 24

Step-by-step explanation:

Answer:

112in^2

Step-by-step explanation:

area of square = 10*10

                        = 100in

area of triangle = (6*4)/2

                          = 12in

100+12= 112

area of shape = 112in

Answer:

The area of the figure is 112

Step-by-step explanation:

For area, you multiply length x width

For the triangle, you do HALF THE BASE x height

So for the square, it's fairly simple

10 x 10 = 100

For the triangle, it's a bit more complicated

So we know the length of the square is 10 inches

And we see a 6 inch mark at the top of the square, showing where the square ends and the triangle begins

So the base of the triangle is 10 - 6 = 4 inches

Also, the overall height of the figure is 16 inches, and the height of the square is 10 inches

So the height of the triangle is 16 - 10 = 6 inches

So 4 is the base of the triangle

And 6 is the height of the triangle

So we half 4, which gives us 2

2 x 6 = 12

The area of the triangle is 12

And we already determined that the area of the square is 100

100 + 12 = 112

The area of the whole figure is 112

Answer:

12

Step-by-step explanation:

I got this question right on a quiz. Hope this helps!!

Answer:

0.95

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.05 = 0.95

Answer:

81

Step-by-step explanation:

double digit numbers begin at 10 and end at 99

10 → 19 has 10 double digits

20 → 29 has 10 double digits

and so on up to 90 → 99

that is there are 90 double digits from 10 → 99

double digits with same value are 11, 22, 33, 44, 55, 66, 77, 88, 99

that is 9 double digits with the same value

Then double digits with different values = 90 - 9 = 81

Answer:

81 double digits numbers.

Step-by-step explanation:

From 1 to 99, first 9 numbers are single digit numbers

Double digit numbers = 99 - 9 =90

In this 90 numbers, 11,22,33,44,55,66,77,88,99 have same digits.

90 - 9 = 81

The probability that we draw a total of 4 cards is approximately 0.074.

The probability that we draw a total of n cards is a function of n.

the expected number of times we draw a card until we get a heart or a face card is: E(X) = 1/p = 3.25.

To solve this problem, we can use the geometric distribution, which models the number of trials needed to get the first success in a sequence of independent trials.

Since we are drawing a heart or a face card, there are 16 cards (4 face cards and 12 hearts) out of 52 that are successful. Therefore, the probability of success is:

p = 16/52 = 4/13

What is the probability that we draw a total of 4 cards

We want to find the probability that we get the first success on the fourth trial, i.e., we draw three non-successes followed by a success. The probability of this event is:

P(X = 4) = \((1 - p)^3 * p = (9/13)^3 * (4/13) = 0.074\)

We want to find the probability that we get the first success on the nth trial, i.e., we draw n-1 non-successes followed by a success. The probability of this event is:

\(P(X = n) = (1 - p)^(^n^-^1^) * p\)

The expected value of a geometric distribution is 1/p. Therefore, the expected number of times we draw a card until we get a heart or a face card is:

E(X) = 1/p = 13/4

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After observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The polynomial function of degree zero is a constant function.

Linear Function: The first-degree polynomial function.

Quadratic Function: The degree of two polynomial functions.

Cubic Function: The degree of three polynomial functions.

So, the table is shown:
x           f(x) =4x+1           g(x) = 3ˣ⁺¹ ⁻ ⁴    

-3             -11                    -35/9    

-2              -7                     -11/3

-1               -3                      -3

0                1                       -1

1                 5                       5

2                9                      23

3                13                     77

We must resolve the equation f(x) = g. (x)

We must determine the value of x such that f(x) = g. (x).

You can see from the provided table that when x = 1

f(x)  =5, g(x) = 5

Therefore, after observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

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Correct question:

The table shows values for functions f(x) and g(x)

x f(x)=4x+1 g(x)=3x+1−4

−3 −11 −359

−2 −7 −113

−1 −3 −3

0 1 −1

1 5 5

2 9 23

3 13 77

What is the solution to f(x)=g(x) ?

Select each correct answer.

−3

−2

−1

0

1

2

3

Step-by-step explanation:

davis is right.

Answer:

5x - 110 =

Step-by-step explanation:

2x + 3x = 5x

90 + 20 = 110

5x - 110

Answer:

5/52

Step-by-step explanation:

There are 52 cards in a deck, with 26 red and 26 black cards. There are 2 red ones, 2 black threes, and 1 six of hearts. The # of favorable outcomes is 2 + 2 + 1 = 5, so the answer is 5/52.

Answer:

\(\Large \boxed{x= \frac{k-7}{6} }\)

Step-by-step explanation:

\(6x+7=k\)

Subtracting 7 from both sides.

\(6x=k-7\)

Dividing both sides by 6.

\(\displaystyle x= \frac{k-7}{6}\)

Answer:

8(2+5)=56

Step-by-step explanation:

2+5=7

8x7=56