I need to determine whether the function is a polynomial function, and if so I have to write it in standard form and state it’s degree type and leading coefficient.

f(x) = 7-1.6x² - 5x

Answer:36,37,38,39 one of the those or between

Step-by-step explanation:

Answer:

F(-3)= 23

Step-by-step explanation:

F(-3)= 2(-3)^2 + 5

x=-1

Step-by-step explanation:

3(-2x+1)-2(x+13)=7x-4(1-x)

-6x+3-2x-26=7x-4+4x

-8x+3=7x-4+4x+26

-8x+3=7x+4x+22

-8x+3=11x+22

-8x-11x=22-3

-19x=19

-19/19x = 19/-19

x = -1

Answer:

first, by using inverse operations subtract 10 on both sides.

4-10 is -6. whys the 6 negative? because the number takes the sign of the bigge number.

Divide by 2 to isolate x

In multiplication and division one negative sign stays and 2 negative signs cancel eachother but here theres only one negative sign so;

~~~~~~~~~~~~~~~~

The answer  r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.

What is Geometric progression?

A geometric progression, sometimes termed a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.

By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).

Here 1st term a = -2

4th term given is ar³= -686

r³= -686/-2

r=∛343

a) r=7

2nd term will be  -14

3rd term will be -98

5th term will be -4802

b) -2, -14, -98, -686, -4802.

Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.

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The [tex]A^{-1}[/tex] for the matrix is

[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\1&0&-5\\0&1&-4\end{array}\right][/tex]

How to find inverse of a matrix ?

Only square matrices with an equal number of rows and columns, such as 2 *2, 3*  3, etc., allow us to find the inverse of the matrix. The adjoint of the provided matrix is divided by the determinant of the given matrix to produce the inverse matrix, to put it simply.

[tex]A^{-1} = \frac{1}{|A|} Adj A[/tex]

|A|=-5(4-3)+4(4-3)-5(4-4)

|A|=-5+4

|A|=-1

[tex]Adj A = \left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{-1}\left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]

[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\-1&0&-5\\0&1&-4\end{array}\right][/tex]

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Answer: convergencnt

Step-by-step explanation:

Answer:

18x - 72 = 20

Step-by-step explanation:

[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]

The distance from Maria's desk to Monique's desk is √85.

Option B is the correct answer.

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]

We have,

Maria's desk.

We will write the coordinates in the form of (x, y).

(6, -1) = [tex](x_1, y_1)[/tex]

Monique's desk.

We will write the coordinates in the form of (x, y).

(-3, 1) = [tex](x_2, y_2)[/tex]

The distance between Maria's desk and Monique's desk.

= [tex]\sqrt{(-3 - 6)^2 + (1+1)^2 }[/tex]

= √(81 + 4)

= √85

Thus,

The distance from Maria's desk to Monique's desk is √85.

Option B is the correct answer.

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Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

To simplify a square root you have to find any perfect square numbers.

(ex. 4, 9, 16, 25 ...)

[tex]\sqrt{8} = \sqrt{2*4} = \sqrt{2} * \sqrt{4}[/tex]

Simplify:

[tex]\sqrt{4} = 2[/tex]

[tex]2 \times \sqrt{2}\\ = 2\sqrt{2}[/tex]

Don't forget to multiply the 5, so:

[tex]5 \times 2\sqrt{2}\\ = 10\sqrt{2}[/tex]

Sketch a graph that shows the relationship between grams of honey and cups of flour needed for a bakery recipe. To know how much honey is needed for 17 cups of flour

Given data:

Let flour x grams plotted on x-axis

honey y grams plotted on y-axis

We have 2 points to find the slope of linear equation

[tex]m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{35-14}{25-10} = \frac{21}{15} = \frac{7}{5} = 1.4[/tex]

[tex](x_{1}, y_{1}) = (10,14)\\ \\(x_{2}, y_{2}) = (25,35)[/tex]

Linear equation is

y = mx+c

[tex]y = \frac{7}{5}x+c = 1.4x+c[/tex]

Adding points (10,14) in above equation

[tex]y = \frac{7}{5}x+c \\\\14 = \frac{7}{5}*10+c\\ \\[/tex]

c = 0

So, the relation between x grams of flour requires y grams of honey is

[tex]y = \frac{7}{5}x[/tex]

or

y = 1.4x

When x = 17

[tex]y = \frac{7}{5}*17 = 23.8[/tex]

Hence the answer is, y = 23.8 g of honey is needed for 17 cups of flour.

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Force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity.

Forces it to accelerate in the direction of the force , this is a vector quantity that is represented in newtons.

net force = total pulling force = weight of the hanging mass.

Force will remain constant.

acceleration = constant pulling force / total mass to be pulled.

acceleration also remain constant.

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The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

In the question ,

If the sample size is increased ,

which means if the number of sample is increased then the errors in the sampling distribution becomes very less .

and if the sample size is decreased then it leads to the increase in the error  of the distribution .

The formula for the relationship between variation and sample size is given by ,

σx = σ / sqrt (n)

we can see that the variation and sample size are inversely proportional .

Which means that increase in the sample size results in a reduction of variation.

Therefore , The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

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Answer:

72

Step-by-step explanation:

- reason why it's 72

tens            ones

(2+5)=7             2

A/Q:

The circumference of the circle in feet is 10π feet.

According to the question,

We have the following information:

Area of the circle = 25π square feet

We know that the following formula is used to find the area of circle:

π[tex]r^{2}[/tex] where r is the radius of the circle

π[tex]r^{2}[/tex] = 25π

Dividing by π on both the sides:

[tex]r^{2}[/tex] = 25

r = 5 feet ...(1)

We know that the following formula is used to find the circumference of circle:

2πr

Putting the value of r from equation 1:

2π*5

10π feet

Hence, the circumference of the circle in feet is 10π feet.

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The slope of the line is -1

First we have to choose two points

The coordinates of the first point = (9, 1)

The coordinates of the second point = (8, 2)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.

The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The slope of the line = (2-1) / (8-9)

= 1 / -1

= -1

Hence, the slope of the line is -1

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Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

[tex]m = \frac{4 - 8}{0 - (-3)}[/tex]

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

[tex]m = \frac{-2 - 4}{ -4 - 4}[/tex]

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

[tex]m = \frac{4 - 1}{ 8 - 4}[/tex]

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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Using the concepts of  probability, we got that an experiment may have d) several events

Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.

In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.

An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.

Hence, an experiment may have d)several events

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The correct statement of the inequality representation is d On a number line, −5 is located to the right of –6.

A number line is a horizontal representation of parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

-5 > -6

this is read as -5 is greater than -6 therefore

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Answer: 60,30,180, and 37

Step-by-step explanation:

The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.

What is the volume?

Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].

All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, V is the volume of the basket ball and r is the radius of the basket ball.

Rearrange the above equation for [tex]r[/tex].

[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]

[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]

Substitute values.

[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]

Hence, the radius of the basket ball is 4.76 inches.

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Answer: 2050

Step-by-step explanation:

experimental probability = 0.6

What is experimental probability ?

Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times. The experimental probability's mathematical formula is denoted by;

Probability of an Event P(E) = Number of Trials / Total Number of Occurrences of an Event

15 times were used in the experiment by Kendra.

According to the table, out of the 15 instances, we receive a blonde class leader 9 times.

Therefore, the experimental likelihood that the class leader for this week has blonde hair is = [tex]\frac{n(blonde)}{n(all trails)} =\frac{9}{15} =\frac{3}{5} = 0.6[/tex]

0.6 will be the experimental probability that this week's class leader will

have blonde hair

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Yes line TV is also parallel to line QS according to transverse property

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced

When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.

Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX

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Answer:

11

Step-by-step explanation:

1x2x3x5 = 30  Product means the answer in a mulitplication problem.

Sum is the answer to an addition problem

1+2+3+5 = 11

Answer:

[tex]\frac{\sqrt{170} }{7}[/tex]

Step-by-step explanation:

Length = x

Width = 7x

Therefore 7x into x = 170, Rectangle area formula

7x^2=170

7x=root over 170

x = root over 170/ 7

Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

Answer:

204 feet^2

Step-by-step explanation:

rectangle area = 18 * 10 = 180 feet^2

triangle width = 18 - 10 = 8 feet

triangle area = 6 * 8 /2 = 24 feet^2

total area = 180 + 24 = 204 feet^2