State whether the function is a polynomial function. Give the zeros of each function, if they exist.

1. f(x) = 17 - 3x

-I already know that the answer is 17/3, but I just need someone to show me the work out so I can understand how to do the basics of Pre-Calc since I'm a month late in the class. Thank you!-

Answer:

  A. 0

  B. -66

  C. 4

  D. 998

  E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

__

B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

__

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

__

D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

__

E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

Answer:

Step-by-step explanation:

now the equation looks like

3-4Cos(x)=y

hmmm i'm wondering if you can figure it out from here???  it's the same as the other two.. plug in that \(\sqrt{2}\) /2  .. can you?   :)

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Answer:

'n' will represent the number 5.

Step-by-step explanation:

\(9n \: + 2 = 47 \\ 9n \: = 47 - 2 \\ 9n \: = 45 \\ n \: = 45 \div 9 \\ n \: = 5\)

Answer:

a = 5.5

Step-by-step explanation:

Let the expression be written as;

Given 1/2 = a/11, find a

Cross multiply

1×11 = 2×a

11 = 2a

a = 11/2

a = 5.5

Answer:

....try t out

The answer is 40

Answer:

Quotient=42

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8² = 64

64 - 8 = 56

Answer:

\(x_{n} = x_{(n-1)} -6\)

Step-by-step explanation:

b/c

Answer: aₙ=-14-6n

Step-by-step explanation:

the common difference is :

d=-26-(-20)=-6

the nth term is aₙ=a₁+(n-1)d

a₁= -20

aₙ= -20+(n-1)(-6)

aₙ=-20-6n+6=-14-6n

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answer:

(1)

Step-by-step explanation:

x - 2 = - 5             Add 1 to each side

x = - 5 + 2

x = - 3

Now go to the next part

(x - 2)^2

(-3 - 2)^2

(- 5)^2

Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.

(-5)(-5)  Two minuses are going to give you a plus.

5 * 5 = 25

(-5) * (-5) also give you 25

The answer is (1)

Answer:

(7,-10)

Very educated guess

Answer:

0,3

Step-by-step explanation:

enter in a graphing calculator see where you hits 0

Answer:

the answer is 0,3

The equation of the line that passes through the points (3,2) and (5,6) is: y = 2x - 4

Given:

we have two points:

(3,2) and (5,6)

we are asked to find the equation of a line that passes through the points (3,2) and (5,6).

let the two points be:

(3,2) = (x₁,y₁)

(5,6) = (x₂,y₂)

we know the point slope form as:

y - y₁ = m(x-x₁)

to find slope:

m = y₂-y₁/x₂-x₁

m = 6-2/5-3

m = 4/2

m = 2

now take the point as :

y - 2 = 2(x-3)

y - 2 = 2x-6

y = 2x - 6 + 2

y = 2x - 4

Hence we get the equation of the line as y = 2x - 4.

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Answer:

9x + 3x =12x

2 + 1 =3

12x + 3 =

12x/12 + 3/12 = 25

12/300 =25

Answer:

the answer is three

Step-by-step explanation:

because half of 6 is 3

Answer:

b

Step-by-step explanation:

90×(2)

= 180

each mile is equal to 90 calories

therefore 2 miles is equal to 180

a. To find the most general antiderivative or indefinite integral of f(x) = -3x^3, we can apply the power rule for integration. The power rule states that for any constant 'n' (except -1), the antiderivative of x^n is (x^(n+1))/(n+1).

In this case, we have f(x) = -3x^3. Applying the power rule, we can integrate term by term:

∫(-3x^3) dx = -3 * ∫(x^3) dx

Using the power rule, we add 1 to the power and divide by the new power:

= -3 * (x^(3+1))/(3+1) + C

= -3 * (x^4)/4 + C

Therefore, the most general antiderivative or indefinite integral of f(x) = -3x^3 is F(x) = (-3/4) * x^4 + C, where C is the constant of integration.

b. To find the most general antiderivative or indefinite integral of f(x) = 2sin(x) - 9sec^2(x), we can use standard integration techniques.

∫(2sin(x) - 9sec^2(x)) dx

For the first term, the integral of sin(x) is -cos(x):

= -2cos(x) - 9∫sec^2(x) dx

The integral of sec^2(x) is tan(x):

= -2cos(x) - 9tan(x) + C

Therefore, the most general antiderivative or indefinite integral of f(x) = 2sin(x) - 9sec^2(x) is F(x) = -2cos(x) - 9tan(x) + C, where C is the constant of integration.

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Answer:

infinite

Step-by-step explanation:

y and x can be any numbers because they're independants

Answer:

\(\infty\)

Step-by-step explanation:

The domain/range of \(x\) or \(y\) is not restricted. Therefore, for \(x \in \mathrm{R}\), the solutions for \(y\) are \(\mathrm{R}\) (all real numbers).

Therefore, there are an infinite number of solutions to this equation.

The given equation, 5r^2 + z^2 = 1, represents a surface called an ellipsoid. An ellipsoid is a three-dimensional shape resembling a stretched or compressed sphere.

To explain further, this equation represents a specific type of ellipsoid known as a prolate spheroid. It has a major axis along the z-axis and a minor axis along the r-axis. The equation states that the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.

In simple terms, imagine a three-dimensional shape that is stretched or compressed in such a way that its cross-sections in the r-z plane are ellipses. This is what the equation 5r^2 + z^2 = 1 represents.

To summarize, the given equation represents an ellipsoid, specifically a prolate spheroid, where the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.

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Answer:

a) No

b) \(174^{\circ}-17x\)

Step-by-step explanation:

a)

If \(x=5\), we have that \(\angle c=9(5)-3=45-3=42\), and \(\angle d=8(5)+9=40+9=49\).

\(42+49=91\neq 90\), so \(\angle c\) and \(\angle d\) are not complementary when \(x=5\)

b)

If \(\angle c\), \(\angle d\), and \(\angle e\) form half a circle, that means they sum to \(180^{\circ}\).

We now need to solve \(\angle c + \angle d + \angle e = 180^{\circ}\) for \(\angle e\).

Plugging in for \(\angle c\) and \(\angle d\) gives \((9x-3)+(8x+9)+\angle e = 180\).

Combining like terms on the left side gives \(17x+6+\angle e = 180\).

Subtracting a \(17x\) and a \(6\) from both sides gives \(\angle e = 174-17x\).

This means that \(\angle e = 174^{\circ}-17x\) and we're done.

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

Option C.

Step-by-step explanation:

Ok, first we know that:

Tan(0) = 0

While in the graph, we can see that:

f(0) = -2

Then our function will be something like:

f(x) = tan( k*x) - 2

We also can see that the graph has asymptotes at x = π/2 and at x = -π/2

While the normal tangent equation has the asymptotes at x = pi

So here we have that:

k*(pi/2) = pi

k = pi*(2/pi) = 2

k = 2

then the function is something like:

f(x) = tan(2*x) - 2

If we look at the options, we can see one that is:

tan( 2*(x + π)) - 2

we can rewrite this as:

tan(2*x + 2π) - 2

And remember that the period of a trigonometric function is 2π

This means that:

tan(a + 2π) = tan(a)

Then:

tan(2*x + 2π) - 2 =  tan(2*x) - 2

Which is the function that we found.

Then the correct option is C

Answer:

18

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

9 + (-7) = 2

Step-by-step explanation:

When there is no solution to a system called an inconsistent system of equations.

A linear equation in two variables is in the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. An inconsistent pair of linear equations is named a linear equation system with no solution. When we think of a system of linear equations, we are able to compare the coefficients of the equations and find whether it is a system of equations with no solution.

Assume the pair of linear equations in two variables, x and y.

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Where a₁, b₁, c₁, a₂, b₂, c₂ stand real numbers.

Note that, a₁² + b₁² ≠ 0, a₂² + b₂² ≠ 0

If (a₁/a₂) = (b₁/b₂) ≠ (c₁/c₂), then there will be no solution.

--The given question is incorrect; the correct question is

"When there is no solution of a system called _____ system of equations."--

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Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

1 Answer:

D

2 Answer:

B

Step-by-step explanation:

all we should do here is multiply both sides by -1 and switch the sign ≤ since we multiplied by a negative number

x is equal or greater than 3 so 3 is included

3 will be represented by a clored dot

so the graph is D

again multiply by -1 to get rid of the - signs and switch ≤ by ≥ since it's a negative number

x is equal or greater than -3  so -3 is included

the graph is b since there is a dot in -3

Answer:

ok thx

Step-by-step explanation: