if you shift the absolute value parent function, F(x)= IxI, right 9 units, what is the equation of the new function?
A. G(x)=IxI-9
B. G(x)=Ix+9I
C. G(x)=Ix-9I
D. G(x)=IxI+9

The distance they finishes is 8.6 miles

Given that miles run by Joni is 5 miles and the miles ran by Lori is 7 miles

We need to find the distance they finished

To calculate the total distance along the diagonal line, the Distance Formula first squares the differences between the two x coordinates and the two y coordinates, then adds those squares, and finally calculates their square root.

We know that

According to the Distance formula

= [tex]\sqrt{(5)2+(7)^2}[/tex]

= [tex]\sqrt{25+49}[/tex]

= [tex]\sqrt{74}[/tex]

= 8.6 miles

Therefore the distance finished is 8.6 miles

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Answer:

A

Step-by-step explanation:

The rule for a 180 degree clockwise rotation is (-x, -y). After applying this to the figure, it must be translated one unit right to match the image.

Answer:no but maybe

Step-by-step explanation:if you distribute the 3 and multiply the 3 with box the 2 and 1 you would get 6x+3 which is not equal to 5x+4 but if you take one from the 6 and add it to the 3 it would be even so i dont know but maybe

Factoring the roots, the values of A and B are given as follows:

The expression is:

[tex]\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}[/tex]

We have that:

[tex]\frac{45}{40} = \frac{9}{8}[/tex]

Hence:

[tex]\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}[/tex]

Hence, comparing the last two equalities:

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Answer:

9w+1402

Step-by-step explanation:

Answer:

98.5 degrees

Explanation:

According to the 'angles inside the circle theorem,' do

(101+96)/2 = 98.5

Have a blessed day!

Answer:

Step-by-step explanation:

Formula

<x = 1/2 (arc 1 + arc2)

This is the basic angle formula for the way two chords intersect.

Givens

arc1 = 96

arc2 = 101

Solution

<x = 1/2 (arc1 + arc2)                 Substitute values

<x = 1/2(96 + 101)

<x = 1/2(197)

<x = 98.5

Answer

x = 98.5

Answer:

b

Step-by-step explanation:

I'm quite positive its b hopefully:)!

Answer:

B.b if you follow the formula and chances are very high for it to be b

Answer: 4

Step-by-step explanation:

Slope is rise over run (up over sideways) from two points.

The two points shown are (0,4) and (-2,-4).

By counting, you can find the slope, which is 8/2 = 4.

The complete table is

                Dog         Not Dog         Total

Cat            31              10                     41

Not cat     24              7                       31

Total         55              17                      72

Given a venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet as shown in figure which is attached below.

In the figure cat and dog are overlapping which means 31 people like both.

The people that like only dog but not cat are 24 and the people that like only car but not dog is 10.

The people that like not cat not dog is 31-24=7.

The total people that like cats are 31+10=41 and the total people that dont like cat is 24+7=31

The total people that like dogs are 31+24=55 and the people that didn't like dogs are 31+10-24=17 and the total people that like both dog and not dog and also like cat and not cat is 55+17=41+31=72.

Hence, the complete table is shown in attached figure for the given venn diagram.

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The correct option for the matrix will be:

a) If an n x n matrix A has fewer than n distinct eigenvalues, then A is not diagonalizable.

It could have repeated eigenvalues as long as the basis of each eigenspace is equal to the multiplicity of that eigenvalue.

b) If A is diagonalizable the A2 is diagonalizable

If A is diagonalizable then there exists an invertible matrix

c) If Rn has a basis of eigenvectors of A, then A is diagonalizable.

d) A is diagonalizable if and only if A has n eigenvalues, counting multiplicity.

e) If A is diagonalizable, then A is invertible.

It’s invertible if it doesn’t have a zero as eigenvalue but this doesn’t affect diagonalizable.

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Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

So generally a geometric sequence can be defined as: [tex]a_n=a_1(r)^{n-1}[/tex] which is the explicit form. The r, is what each previous term is being multiplied by to get the next value which is evident in the recursive form: [tex]a_n = r(a_{n-1})\\[/tex]. Knowing this we can take two values which are "next" to each other to find what r is. In this case I'll just is 1 and 1/4, given these two values we know that: [tex]\frac{1}{4} = 1 * r[/tex], 1*r is just r... so what each term is being multiplied by is 1/4. So let's plug the values into the explicit formula: [tex]a_n=(\frac{1}{4})^{n-1}[/tex] (I didn't put an a_1 value in front, since it's just 1... so it's a bit redundant). Anyways using this formula we simply plug in 5 as n into the equation to find the 5th term: [tex]a_5 = (\frac{1}{4})^{5-1} = (\frac{1}{4})^4 = \frac{1^4}{4^4} = \frac{1}{256}[/tex]

The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.

Brief Description of Mean and Interquartile Range

While interquartile range only assesses the middle half of the data, mean and range deal with the entire set of data. The mean is significant in statistics because it helps us determine where a dataset's "center" is. The mean contains information from each observation in a dataset as a result of how it is calculated.

The interquartile range in descriptive statistics reveals the spread of your distribution's middle half. Any distribution that is sorted from low to high is divided into four equal portions using quartiles. The second and third quartiles, or the center half of your data set, are contained in the interquartile range (IQR).

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Using it's concept, the probabilities are given as follows:

19. A. 1/3.

20. F. 1/6.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 1 + 1 + 3 + 4 + 3 = 12 papers. 4 have a score of 6, hence, in item 19, the probability is:

p = 4/12 = 1/3.

Which means that option A is correct.

2 papers have a score greater than 12, hence the probability in item 20 is given by:

p = 2/12 = 1/6.

Which means that option F is correct.

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Answer:

31.

Step-by-step explanation:

We have the equation:

(2x - 17) / 3 = 15     where x is the number to be found.

Multiply both sides by 3:

2x - 17 = 45

2x = 45 + 17 = 62

x = 31.

The height of the cylinder is (a) 8.75 meters

The given parameters are:

Volume = 315[tex]\pi[/tex]

Radius, r = 6

The volume of a cylinder is:

[tex]V = \pi r^2 h[/tex]

So, we have:

[tex]315\pi = \pi * 6^2 * h[/tex]

Divide both sides by 36[tex]\pi[/tex]

h = 8.75

Hence, the height of the cylinder is (a) 8.75 meters

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Answer: A

Step-by-step explanation:

Each value of x maps onto only one value of y.

Answer:

a(b+c) = a into b + a*c

So, 79(457+35) = 79*457 + 79*35

Step-by-step explanation:

Answer:

f(-x) = -4x^3 + 9x, f(x) is an odd function

Step-by-step explanation:

We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:

[tex]f(-x)=4(-x)^3-9(-x)\\f(-x)=-4x^3+9x[/tex]

We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:

[tex]-f(x)=-(4x^3-9x)\\-f(x)=-4x^3+9x[/tex]

Since f(-x) = -f(x), our function f(x) is an odd function

Answer:

A

Step-by-step explanation:

[tex]\cos \theta=\frac{3}{8} \\ \\ \theta=\cos^{-1} \left(\frac{3}{8} \right) \\ \\ \theta \approx 68^{\circ}[/tex]

0.385 is the probability under given conditions.

Lets simplify the above problem,

Given n=20, p=0.05, q=0.95

Probability that in a sample of 20 window frames:

None will need adjustments.

P(x=0)= 0.95^20 = 0.3585

At least one will need adjustment?

P(x>=1) = 1 - P(x=0)

= 1 - 0.3585

= 0.6415

More than two will need adjustment?

P(x>2) = 1 - P(x=0) -P(x=1) -P(x=2)

= 1 - 0.3585 - 20C1(0.05)^1*(0.95)^19 - 20C2(0.05)^2*(0.95)^18

= 0.6415 - 20*0.05*0.3774 - 190*0.0025*0.3972

= 0.2641-0.18868

= 0.0755

Hence 0.385 is the solution of the given problem.

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Answer:

x = 4

Step-by-step explanation:

Since M is the midpoint of segment KL, then segments KM and LM are congruent. They have the same length.

4x + 1 = 8x - 15

4x = -16

x = 4

Based on the speed of the plane, the number of hours it will take to fly 3,008 miles is 5.47 hours.

The speed of the plane is given as 550 miles per hour

In order to reach 3,008 miles, the plane should travel for:

= Distance / Speed

= 3,008 / 550

= 5.47 hours

Rest of the question is:

how many hours will it take a plane to go 3 008 miles if it travels at 550 mph

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[tex]3x + 2 = 47 \\ 3x = 47 - 2 \\ 3x = 45 \\ x = \frac{45}{3} = 15[/tex]

The point which is the center of the ellipse whose equation is; (y+5)²/121+(x-9)²/49=1 s in the task content is; (-5, 9).

It follows from convention that the equation of an ellipse usually takes the form;

(y-h)²/a²+(x-k)²/b²=1 in which case, the center of the ellipse is given by the point; (h, k).

On this note, By comparison of the actual equation and the standard equation, it follows that;

+5 = -h and consequently, h = -5,

-9 = -k and consequently, k = 9.

Ultimately, the point which is the center of the

ellipse is; (-5, 9).

Remark: The equation of the ellipse which is missing in the task content is; (y+5)²/121+(x-9)²/49=1

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Answer: D. (9, −5)

Not (-5, 9)

Step-by-step explanation:

Using the given property, we conclude that:

f(4) = 8

We know that our function has the property:

5*f(x) = f(5*x)

Now, we also know that:

f(20) = 40

Notice that we can rewrite:

f(20) = f(5*4)

Using the above property, we know that:

f(20) = f(5*4) = 5*f(4) = 40

Using the last part:

5*f(4) = 40

f(4) = 40/5 = 8

f(4) = 8

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For the division of the given polynomials, quotient =  4y and remainder =1

Algebraic expressions called polynomials include constants and indeterminates.

A specific kind of expression is a polynomial. A mathematical statement without the equals symbol (=) is called an expression.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.

A polynomial is written in its standard form when its descending power of the variable is used.

[tex]\frac{8y^{2}-4y+1 }{2y-1}[/tex]

Quotient = 4y

Remainder = 1

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Answer:

y>4x+1

Step-by-step explanation:

We got two simple steps for this question:

1.Find the equation(y=mx+b):

I want to test these two points on my formula:

(0, 1), (–1, –3)

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - ( - 3)}{0 - ( - 1)} = \frac{4}{1} = 4[/tex]

so we just calculated our m and now it time for b

[tex]y = 4x + b = = = > 1 = 4(0) + b = = = > b = 1[/tex]

So your criterion is y=4x+1

2.

we are looking for ys greater than xs so your answer is gonna be y>4x+1

There were 2.07 times as much people that applied in the fourth month than in the first month.

An exponential function is one that grows or decreases in an exponential manner. Thus, for any exponential function we can write; f(x) = ax^±n. The term a is the initial value x is the rate of change while n is the time elapsed. The positive sign is used for an exponential increase while the negative sign is used for an exponential decrease.

Thus we have;

f(x) = 27(1.2)^4

This shows us that the time elapsed is four months and f(x) = 2.07.

Therefore, there were 2.07 times as much people that applied in the fourth month than in the first month.

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Answer:

Step-by-step explanation:

[tex]52 = - 5x - 3i...given \: expression \\ - 5x - 3i = 52...switch \: sides \\ - 5x - 3i + 3i = 52 + 3i...add \: 3i \: to \: both \: sides \\ - 5x = 52 + 3i...simplify \\ \frac{ - 5x}{ - 5} = \frac{52}{ - 5} + \frac{3i}{ - 5} ...divide \: both \: sides \: by \: - 5 \\ x = \frac{ - 52}{5} - i \frac{3}{5} ...simplified[/tex]