what is equivalent to 10+ 4(-8q - 4)?

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The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.

The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.

Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

Mike

Step-by-step explanation:

Mike is the traveling faster.

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Answer:

cos Z = \(\frac{5}{13}\)

Step-by-step explanation:

cos Z = \(\frac{adjacent}{hypotenuse}\) = \(\frac{YZ}{XZ}\) = \(\frac{10}{26}\) = \(\frac{5}{13}\)

Answer:

y=-3

Step-by-step explanation:

16/2=8

-6/2=-3

Answer:

-3

Step-by-step explanation:

I think this -6/16 = -3/8 divided both sides by 2

Answer:

1

Step-by-step explanation:

In that question, when it is asking for f(x), think of f(x) = y

When you look at x = -1, the y value is 1.

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

Answer:

A) WXZ=YZX

Step-by-step explanation:

WXZ=YZK

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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9514 1404 393

Answer:

   slope = 10

Step-by-step explanation:

Examination of the values shows you that each y-value is 10 times the corresponding x value. That means the slope is 10. (If the ratios were different, then the slope formula would need to be used. The fact that they are all the same means y is proportional to x.)

__

You can use the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (40 -20)/(4 -2) = 20/2

  m = 10

The slope is 10.

The fraction 9/10 is more than 78/100.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.

To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.

9/10 = (9/10) x (100/100) = 900/1000

78/100 = (78/100) x (10/10) = 780/1000

Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).

Therefore, 9/10 is more than 78/100.

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Answer:

You can always find the 'nth term' by using this formula: nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.

From the given graph, the coordinates of the four points are A(-4,-2), B(4,4), C(0,-3) and D(4,0).

Find the equation of the line joining A and B using the two point formula.

Find the equation of the line joining C and D using the two point formula.

The equation of the line is in the form y = mx+c, where m is the slope and c is the y-intercept.

Here:

Slope of the line joining A and B = 3/4

Slope of the line joining C and D = 3/4

So, the lines are parallel because their slopes are equal.

Answer:

A. Vertex (-3, -1)

B. y-intercept: (0, 8)

C. x-intercept: (-2, 0), (-4, 0)

D. Domain: (-∞, ∞)

E. Range: [-1, ∞)

F. x = -3

G. Coordinates:

(-5, 3)

(-4, 0)

(-3, -1)

(-2, 0)

(-1, 3)

Step-by-step explanation:

y = x² + 6x + 8

   (x + 2)        (x + 4)

    x + 2 = 0   x + 4 = 0

         -2   -2       -4    -4

           x = -2        x = -4

x-intercept: (-2, 0), (-4, 0)

y-intercept: (0, 8)

y = x² + 6x + 8

y = (0)² + 6(0) + 8

y = 8

Vertex:

      a        b     c

y = x^2 + 6x + 8

       -b        -(6)      -6

x = ------- = ------ = ------ = -3

      2a        2(1)      2

y = x^2 + 6x + 8

y = (-3)^2 + 6(-3) + 8

y = 9 - 18 + 8 = -1

Vertex: (-3, -1)

Graph:

(I'm gonna try my best to draw it)

                         10-

                          9-

                          8-

                          7-

                          6-

                          5-

                          4-

                          3-

                          2-

 ↑         ↑             1-

--*---|-----*------|-------|-----|-----|-----|------|------|-----|-------|------|-------|------|

-4  -3   -2    -1              1     2    3     4      5     6      7      8      9    10

      *                -1  -    

                        -2 -

                        -3 -

                        -4 -

                        -5 -

                        -6 -

                        -7 -

                        -8 -

                        -9 -

                       -10 -

Range: (y-axis)

Min is y = -1

[-1, ∞)

I hope this helps!

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Answer:

x = 45°

Step-by-step explanation:

x + 3x = 180°

--> 4x = 180°

--> x = 180 / 4 = 45°

Step-by-step explanation:

x+3x=180 (sum of linear pair=180)

or, 4x =180

or, x = 180/4

therefore x =45

Answer:

3/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 75 and 100 is 25.

75 ÷ 25100 ÷ 25.

Reduced fraction: 34. Therefore, 75/100 simplified to lowest terms is 3/4.

Answer:

three equivalent fractions to 75/100 are 3/4 , 6/8 , & 12/16

The linear equation of the scatterplot is y = 14x - 7/2

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

The scatter plot (see attachment)

On the line of best fit, we have

(x, y) = (0.25, 0) and (0.75, 7)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

0.25m + c = 0

0.75m + c = 7

Evaluate the difference

0.5m = 7

So, we have

m = 14

Next, we have

0.25 * 14 + c = 0

So, we have

7/2 + c = 0

This gives

c = -7/2

So, the equation is y = 14x - 7/2

Hence, the linear equation is y = 14x - 7/2

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Answer:

y ≥ 2/15

HOPE THIS HELPS :)

Answer:

The correct answer is 98°.

Answer: 82

Step-by-step explanation: all the angles of the triangle have to add up to 180 you all up the other angles and you get 98. 98= angle A your trying to find the outside angle we know that a line equals 180 degrees therefore we subtract that angle from 180 and get 82 which is your answer

Answer:

-0.75t+15

Step-by-step explanation:

I just did it

The require equation is;

S = 27- 3t

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t

After storm ends,  the snow depth is 15 inches  

After 4 hours of melting, the snow depth is 12 inches    

∴ Rate of melting = 12/4 inches/hour = 3 inches/hour

So in the 4 hours, the amount of snow melted = 3*4 inches = 12 inches

So the total depth of the snow initially will be 15 + 12 = 27 inches  

So the required equation;

S = 27- 3t  

Where S is the depth of the snow after a particular number of hours t

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Answer:

1) {2,0,-2}

2) {1,-3,1}

3) {1,3,5}

4) {0,1,2}

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

17.03

Step-by-step explanation:

basically you're dividing the ammount of beads it takes to fill a necklace (91) and the ammount of beads Kambo has all together (1,550)

1,550 / 91 = 17.03

Answer:

$296

Step-by-step explanation:

Just multiply

Answer: 3552

Step-by-step explanation: $74 + 12 months for 4 years is 3552

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

The formula for the area of a circle is given as follows:

A = πr².

The area of a circle of radius r is given by the multiplication of the number π and the square of the radius, according to the equation presented as follows:

A = πr².

Hence, for example, for a circle of radius of 5 units, the area is given as follows:

A = π x (5 units)² = 25π units².

The diameter of a circle is twice the radius, hence the radius is half the diameter, and as a function of the diameter, the area will be given as follows:

A = 0.25πd².

As the diameter in the context of this problem is:

r² = (0.5d)² = 0.25d².

The problem is incomplete, hence the area of the circle was explained in general terms.

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