12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%

The value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

As given in the question,

Given functions are :

h(x) =√ x+3  and k(x) = 2x +7

To find the value of the composite function h(k(3)) :

First calculate for k(3) we get,

k(x) = 2x+ 7

Substitute x =3 in k(x) we get,

k(3) = 2(3) +7

⇒ k(3) = 13

Now, Substitute the value of k(3) in the composite function h(k(3)) we get,

h(k(3))

= h(13)

= √ 13 +3

=√16

= 4

Therefore, the value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

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A polynomial function of degree 3 with real coefficients and given zeros of -3, -1, and 4 is 4(x - 4)(x + 3)(x + 1) for which f(-2) = 24.

Any modifying value connected to a variable through multiplication is referred to as a "coefficient." Any non-imaginary number is a "real" number

How do you locate a degree 3 polynomial with real coefficients?

A polynomial of degree 3 must take the form a(xr1)(xr2)(xr3) since it has three roots. We are provided with the roots 3, 1, and 4. So, all we have to do is change these to r1, r2, and r3. We now get a(x+3)(x+1)(x4).

We must first factor the provided polynomial equation into a linear and quadratic equation in order to obtain the roots of the three-degree polynomial. The zeros of the three-degree polynomial can then be easily found.

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Answer:

The factors are (x+9),(x−9).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

ax + by = c  Subtract ax from both sides

by = -ax + c  Divide all the way through by b

[tex]\frac{by}{b}[/tex] = [tex]\frac{-a}{b}[/tex] x + [tex]\frac{c}{b}[/tex]

y = - [tex]\frac{a}{b}[/tex] x +[tex]\frac{c}{b}[/tex]

The value of XZ is 32.

What is the value of XZ?

Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.

From the figure, XY = 15 and YZ = 17

XZ is the sum of XY and YZ:

XZ = XY + YZ

XZ = 15 + 17 = 32

Therefore, XZ is 32.

This shows the concept of trigonometry.

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Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.

The ice cream  shop sells small and large sundaes .

One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.

Therefore,

let

x = cost of each small sundae

y = cost of each large sundae

Therefore,

30x + 50y = 420

15x + 35y = 270

multiply equation(ii) by 2

30x + 50y = 420

30x + 70y = 540

subtract equation(i) from equation(ii)

20y = 120

y = 120 / 20

y = 6

Hence,

30x + 50(6) = 420

30x + 300 = 420

30x = 420 - 300

30x = 120

x = 120 / 30

x = 4

Therefore,

cost of small sundae = 4 dollars

cost of large sundae = 6 dollars

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SOLUTION

We want to solve the equation

cross multiplying, we have

Hence the answer is x = 2, the first option

the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)

Answer:

Step-by-step explanation:

See attached worksheet

12

1) Considering this Data Set:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:

Note that this is the data point that repeats itself the most.

The quadratic formula for a polynomial is given by:

Therefore, option (C) is correct.

Applying synthetic division, the quotient between 8x³ + 26x² + 19x + 3 by 4x + 3 is:

2x² + 5x + 1.

In this context of this problem, the coefficients of the polynomial 8x³ + 26x² + 19x + 3 are given as follows:

8, 26, 19 and 3.

The divisor is found as follows:

4x + 3 = 0

4x = -3

x = -3/4

x = -0.75.

The resulting coefficients of the quotient are given as follows:

8, 20, 4 and remainder of 0.

Hence the quotient is:

8x² + 20x + 4.

Which can be simplified as:

2x² + 5x + 1.

The first coefficient of the polynomial, of 8, was moved down, the multiplied by -0.75 and added to 26, resulting in 20. Then the same procedure was done with 20(multiplied with -0.75 and added with the next coefficient of 19), until the last coefficient of 3.

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Answer:

Step-by-step explanation 10:

The order from smallest to largest is a book, bread, penny, bills

In decreasing size, they are a book, a loaf of bread, a penny, and a bill.

The following details must be taken into account;

We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.

Hence, The order from smallest to largest is a book, bread, penny, bills.

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Base on congruency of vertical angles, the value of z is 7.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

In other words, vertically opposite angles are angles that opposed each other at one specific vertex, and are formed by two straight intersecting line.

Vertically opposite angles are congruent to each other.

Therefore,

7z + 7 = 9z - 7

subtract 9z from both sides of the equation

7z + 7 = 9z - 7

7z - 9z + 7 = 9z - 9z - 7

-2z + 7 = - 7

subtract 7 from both sides of the equation

-2z + 7 = - 7

-2z + 7  - 7 = - 7 - 7

- 2z = - 14

divide both sides by - 2

z = - 14 / -2

Therefore,

z = 7

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By central limit theorem ,with a large random sample, the sample histogram will not closely resemble the normal curve but with a large random sample, the probability density function of the sample mean closely resembles the normal curve.

The central limit theorem for samples says that if we keep drawing larger and larger samples and calculating their means, the sample forms their own normal distribution (the sampling distribution). The normal distribution will have the same mean as the original distribution and a variance that equals the original variance divided by the sample size. The variable n is the number of values that are averaged together,and not the number of times the experiment is done.

Hence,with a large random sample, the sample histogram will not resemble the normal curve but with a large random sample, the probability density function of the sample mean will closely resemble the normal curve.

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The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,

The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,

So answer is,

Restaurant X: c = 5

Restaurant Z: 0.20n + 1.40

(b)

Plot the system of equation on the graph.

(c)

The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.

Answer: 18

Answer:

0

Step-by-step explanation:

the domain can’t be the same

the correct answer is a so write it

The given equation x²-2x=(-2)(3-x) is a quadratic equation.

A second-degree quadratic equation in algebra is one that involves x.

The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The coefficient of x2 must be a non-zero term in order for an equation to meet the definition of a quadratic equation.

given:

x²-2x=(-2)(3-x)

on expanding,

x²-2x = -6+2x

x²-4x+6 = 0

hence above equation is in form of ax²+bx+c=0, where a=1, b=-4. c=6

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The beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.

Given that, a lighthouse is located on a small island 4 km away from the nearest point P.

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

[tex]\frac{d\theta}{dt}[/tex] = 6 rev/min

= 6π rad/min

tan θ = x/6

[tex]\frac{d}{dt}tan\theta=\frac{d}{dt}(\frac{x}{6} )[/tex]

[tex]sec^2\frac{d\theta}{dt} = \frac{1}{6}(\frac{dx}{dt} )[/tex]

[tex]\frac{dx}{dt}=6sec^2\theta\frac{d\theta}{dt}[/tex]

At x=1 km; tan θ= x/6 = 1/6

[tex]sec^2 \theta= 1+tan^2 \theta= 1 + (\frac{1}{6})^2[/tex]

[tex]sec^2 \theta = \frac{10}{9}[/tex]

[tex]\frac{dx}{dt} = 6 sec^2\theta \frac{d\theta}{dt}[/tex]

dx/dt = 6 × 10/9 × 6π

dx/dt = 125.66 km/min

Therefore, the beam of light along the shoreline when it is 1 km from P is moving at 125.66 km/min.

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Answer:

x=9

y=27

Step-by-step explanation:

the scale factor is [tex]\frac{4}{3}[/tex] so 6 × [tex]\frac{4}{3}[/tex] is x - 1

x-1 is 8

so x is 9.

Possible answers to the expression 2x - 15 are given as follows:

An expression is solved isolating the variable of which we want to find the value.

In this problem, the expression is given as follows:

2x - 15 = c.

In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.

With c = -35, we have that the solution is found as follows:

2x - 15 = -35

2x = -20 (-35 + 15)

x = -20/2

x = -10.

Now, if c = 3, the solution is calculated as follows:

2x - 15 = 3

2x = 18

x = 18/2

x = 9.

In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.

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The graph of the equation -4x = -60 is shown below.

A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.

Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.

Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:

-4x/-4 = -60/-4 [division property of equality]

x = 15

This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.

the graph is shown below.

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Answer:

[tex]y+2=\frac{5}{2} (x-6)[/tex]

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

[tex]y+2=\frac{5}{2} (x-6)[/tex]

If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

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Answer:

[tex] {2x}^{2} + 7[/tex]

so hope it helps