f(x) = -3/5 x-17

If f(x) = -2, find x.

Answer: BC=14

Subtract AC by AB. Just learned this in Geomatry.

Answer:

Step-by-step explanation:

5 x 2 = 10

Pretty sure this is right but I'm not 100 percent sure!

Answer: 10P ==> A

Step-by-step explanation:

5 · P · 2= 5 · 2 · P      ==> Commutative property of multiplication

5 · 2 · P=

10 · P=10P ==> A

Answer:

-x - 3y + 2

Step-by-step explanation:

sorry explain to long if you want it here a pic

Answer: c

Step-by-step explanation: it is a rational number because it repeats

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the polynomial function is given by:

y = -0.4908x² + 5.8845x + 1.3572

For the number of students that are absent 10 days after the outbreak, we have:

y = -0.4908(10)² + 5.8845(10) + 1.3572

y = -0.4908(100) + 58.845 + 1.3572

y = -49.08 + 58.845 + 1.3572

y = 11.12 ≈ 11 students.

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The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = [tex]\frac{500}{143.187}=3.49[/tex] hours

Hence, the time taken to finish the race is 3.49 hours

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The required positive five-digit integer of the form ab,cba; which should be divisible by 11 is 87,978

Explain the divisibility test of 11.

For a number to be divisible by 11, the difference between the sum of its odd digits (1st, 3rd, 5th...) and the sum of its even digits (2nd, 4th...) must be divisible by 11.

Calculation for the positive five-digit integer of the form ab,cba to be divisible by 11

Required 5 digit number is of the form, ab,cba

Using the divisibility test of 11, we get

(b + b) - (a + c + a) to be divisible by 11

i.e. 2b - (2a + c) to be divisible by 11

Replacing ab,cba using the greatest numbers, such as 7, 8 and 9 and checking its divisibility with 11

78,987 = 2*8 - (2*7 + 9) = 16 - (14 + 9) = 16 - 23 = -7 NO

87,978 = 2*7 - (2*8 + 9) = 14 - (16 + 9) = 14 - 25 = -11 YES

79,897 = 2*9 - (2*7 + 8) = 18 - (14 + 8) = 18 - 22 = -4 NO

97,879 = 2*7 - (2*9 + 8) = 14 - (18 + 8) = 14 - 26 = -12 NO

89,798 = 2*9 - (2*8 + 7) = 18 - (16 + 7) = 18 - 23 = -5 NO

98,789 = 2*8 - (2*9 + 7) = 16 - (18 + 7) = 16 - 25 = -9 NO

Thus, a positive 5-digit number is 87,978

Hence, the required positive five-digit integer of the form ab,cba; which should be divisible by 11 is 87,978

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Answer:

Step-by-step explanation

Mikhail is 37

Gabrielle is 30

37+30= 67

(Refer to the table given below)

So,

Then,

Therefore,

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Answer:

The Correct answer is 21.78 meters

Step-by-step explanation:

Simply divide 326.7 ÷ 15 and it will leave you with 21.78

Answer: 6[tex]a^{2}[/tex]+a-12

Step-by-step explanation:

First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)

That will get you 6[tex]a^{2}[/tex]-8a+9a-12

Next, you will want to combine like terms to get 6[tex]a^{2}[/tex]+a-12

Since you cannot simplify that any further, 6[tex]a^{2}[/tex]+a-12 is your answer.

Simplify: (-12c⁵) (3c⁴)=36c⁹.

Given that

To find

So, according to the question

We have,

To convert it in simplest form we have to use mathematically operations of powers.

           = (-12c⁵) (3c⁴)

Now, separate the numerical and variable parts from equation

           = (-12 ×3) c⁵× c⁴

Now, from using the mathematically operations of powers, to add powers, and multiply 12 with 3.

∵ [tex]a^m\times a^n = a^{m+n}[/tex]

∴[tex]c^5\times c^4 = c^{5+4}[/tex]

           = (-36) c⁵⁺⁴

          = (-36) c⁹

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Answer:

7/9

Step-by-step explanation:

Combine the two variables: 9p = 7

Then do 7 / 9

Answer:Your answer is 10.5

Step-by-step explanation:Multiply 3.5 by 3 and you get 10.5.

Answer:

x = 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Thus, the equation of the line of reflection,

x=2 and x=4

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

It is given that,

A=(7,6)

A'=(-1,6),

B=(5,5)

and B'=(1,5),

As, the mid point of vertices of figure to the corresponding vertices of  reflected figure should lie on reflected line.

Since, Δ ABC is reflected to Δ A'B'C' through this line,

Let, Q be the mid point of  line AA', using section formula

Coordinate of Q = ((7-(-1))/2 , (6-6)/2 )

                       Q = (4,0)

and R be the mid point of line BB', using section formula

Coordinate of R = Q = ((5-1)/2 , (5-5)/2 )

                       Q = (2,0)

Q and R lies on the line of the reflection,

Thus, the equation of the line of reflection,

x=2 and x=4

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Answer:

6°

Step-by-step explanation:

It started at -2°f and increased b 8° so 2 of those degrees get you back to 0°f and the remains is 6 so 6°

Answer: 44%

Step-by-step explanation:

To find the percentage of students who do not travel by car, we first need to find the total number of students.

14 + 11 = 25

So out of the total of 25 students, 11 do not travel by car, so to find that percentage we will divide the number that do not travel by car by the total number.

11/25 = 0.44

We have the percentage as a decimal. To convert the decimal to a percent we multiply it by 100.

0.44 x 100 = 44%

The binomial is a unique type of discrete random variable. If ALL four of the following conditions are met, our experiment is a binomial experiment: it consists of n identical trials.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the likelihood of success, given by the symbol, stays constant. There are n independent trials. The binomial distribution is a probability distribution that summarizes the possibility that a value will take one of two independent values under a given set of parameters or assumptions, which means the result of each trial has no bearing on the results of the others. The fundamental presumptions of the binomial distribution are that there is only one possible result for each trial, that each trial has the same success probability, and that each trial is independent of the others or mutually exclusive.

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The least to greatest will  [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 ) .

( - 1 ) ^ 5 , 3 ^ ( - 6 ) , 3 ^ 6 , 5 ^ 1 , 10 ^ 0 , 0.1

Simplifying each of them

( - 1 )  ^ 5 = - 1

3 ^ ( - 6 ) = 0.001

3 ^ 6 = 729

5 ^ 1 = 5

10 ^ 0 = 1

0.1   = 0.1

Least to greatest = - 1 < 0.001 < 0.1 < 1 < 5 < 729

                            = [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 )

Hence , least to greatest will  [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 ) .

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Answer:

B: All real numbers

Step-by-step explanation:

Check the attached image for explanation.

Answer:

Hello,

Step-by-step explanation:

[tex]P(x)=6x^5-22x^2+11x-126\\\\P(2)= 6*2^5-22*2^2+11*2-126=0\\\\x-2\ is\ well\ a \ factor\ of\ P(x).\\\\\begin{array}{c|ccccccc}&x^5&x^4&x^3&x^2&x&1\\---&---&---&---&---&---&---\\&6&0&0&-22&11&-126\\x=2&&12&24&48&52&126\\---&---&---&---&---&---&---\\&6&12&24&26&63&0\end {array}\\\\P(x)=6x^5-22x^2+11x-126=(x-2)*(6x^4+12x^3+24x^2-26x+63)\\[/tex]

A function that has been transformed by the given transformations is y = -f(x - 3) + 2

The transformation are given as:

Let the equation of the parent function be

y = f(x)

So, we have the following transformations

Shifted right 3 units

The transformation rule is

(x, y) = (x - 3, y)

So, we have:

y = f(x - 3)

Shifted up 2 units

The transformation rule is

(x, y) = (x, y + 2)

So, we have:

y = f(x - 3) + 2

Reflected about the x-axis

The transformation rule is

(x, y) = (x, -y)

So, we have:

y = -f(x - 3) + 2

Hence, a function that has been transformed by the given transformations is y = -f(x - 3) + 2

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The solution to the given inequality is: F < -9/2.

The inequality is given by:

F + 2 and 1/2 < -2.

First we have to realize the conversion of the mixed number to fraction, as follows:

2 and 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2

Hence the inequality is:

F + 5/2 < -2

F < -2 - 5/2

F < -4/2 - 5/2

F < -9/2.

The solution to the given inequality is: F < -9/2.

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Answer:

2.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just divide four into sixteen. You should get x=4. To check, multiply 4 by 4 (4 x 4), and you should get 16.

The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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The probability of person being a heavy smoker given person died is 0.57 .

Baye's Theorem helps in finding the probability of any event A given that event B has already occurred.

For Example the probability of event A given that event B has already occurred is denoted by

[tex]P(A/B)=\frac{P(B/A)P(A)}{P(B)}[/tex]

In the given question

Let H denoted heavy smokers , L denote Light smokers , N denote Non smokers.

Given the probability of non smokers P(N) = 50%=0.5

the probability of light smokers P(L)=20%=0.2

the probability of heavy smokers P(H)=30%=0.3

let P(D/H) denoted the person died given he was a heavy smoker.

let P(D/L) denoted the person died given he was a light smoker.

let P(D/N) denoted the person died given that he was a non smoker.

According to question

"heavy smokers twice as likely to die as light smokers" means

P(D/H)=2P(D/L)......(1)

and "light smokers twice as likely to die as nonsmokers" means

P(D/L)=2P(D/N)

On simplifying we get

[tex]P(D/N)=\frac{1}{2} P(D/L)\\ \\ P(D/N)=0.5 P(D/L)[/tex].....(2)

According to Baye's Theorem

[tex]P(H/D)=\frac{P(D/H)P(H)}{P(D/N)P(N)+P(D/L)P(L)+P(D/H)P(H)}[/tex]

Substituting values of P(D/H) from ...(1) and values of P(D/N) from ....(2)

we get [tex]P(H/D)=\frac{2*P(D/L)P(H)}{0.5*P(D/L)P(N)+P(D/L)P(L)+2*P(D/L)P(H)}[/tex]

taking P(D/L) common from each term

[tex]P(H/D)=\frac{P(D/L)}{P(D/L)} (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]

[tex]P(H/D)= (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]

Substituting the values of P(N), P(H), P(L) from above we get

[tex]P(H/D)= (\frac{2*(0.3)}{0.5*(0.5)+(0.2)+2*(0.3)})[/tex]

[tex]P(H/D)= (\frac{0.6}{0.25+0.2+0.6})[/tex]

=[tex]\frac{0.6}{1.05}=0.57[/tex]

Therefore , the probability of person being a heavy smoker given person died is 0.57 .

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