The graph of a rational function is shown below. Write the equation that represents this function.

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

On Julie's door, the images will span 210 square inches.

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.

The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.

From the question:

Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.

One image's area is as follows:

5 inches x 7 inches = 35 square inches

As Julie printed six images, the total space that the images cover is:

6 x 35 square inches = 210 square inches

Consequently, 210 square inches of Julie's door will be covered by the images.

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The simplification of equation √8 + √98 - √64 is 9√2 - 8.

What is the simplification of the equation?

The process of writing an algebraic expression in the most effective and compact form without affecting the original expression's value is known as simplification. The procedure involves gathering related terms, which calls for adding or removing terms from an expression.

We have,

√8 + √98 - √64

By simplifying,

√8 = 2√2

√98 = √2 .7

√64 = 8

= 2√2 + √2 .7 - 8

= 9√2 - 8

Hence, the simplification of equation √8 + √98 - √64 is 9√2 - 8.

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Please see Explanation

\(a)\ As\ shown\ in\ the\ figure.\)

\(b)\ According\ the\ picutre,\)

\(we\ know\ only\ 3\ people\)

\(sell\ maize\ and\ 5\ people\ sell\ plantain.\)

I hope this helps you

:)

The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.

22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

i) Venn diagram is shown in the picture below:

ii) As per the picture 3 people sell only maize, 5 people sell only plantain        

   and 4 people sell maize and plantain.

iii)  Total number of women in the group = 34

     The number of women who sells plantain = 5  

We know the probability = \(\rm \frac{favorable \ event}{total \ outcome}\)

Probability \(=\frac{5}{34} \\\\\\= 0.147\\\)

Thus, the 3 people sell only maize, 5 people sell only plantain      

and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.

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Answer:

16

Step-by-step explanation:

3x - 12 = 36

3x = 48

x = 16

Answer:

7

Step-by-step explanation:

10.50÷ 1.50≡n

10.50÷1.50≡7

7×1.50≡10.50

The equation is 10.50 ÷ 1.50 = n, and n = 7.

One of the four fundamental operations in mathematics is division; the other three are addition, subtraction, and multiplication. Simply put, division is the process of dividing a large group into smaller ones so that each group has the same number of items. It is an activity utilized for equivalent gathering and equivalent partaking in math.

Given total spend on ice cream = $10.50

cost of 1 ice cream = $1.50

let n be the total number of ice cream,

n = 10.50 ÷ 1.50

n = 10.50/1.50

n = 7

Hence the equation is n = 10.50 ÷ 1.50 and n = 7.

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Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

Answer:

b

Step-by-step explanation:

Answer: the Ferris Wheel

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

Answer: (1500.66,1599.34)

Step-by-step explanation:

Confidence interval for population mean:

\(\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}\)

,where \(\overline{x}\) = Sample mean , n= Sample size, z* = critical two tailed z-value , \(\sigma\) = population standard deviation.

As per given , we have

n= 16

\(\sigma = 154\) square feet

\(\overline{x}= 1550\) square feet

\(\alpha= 1-0.80 = 0.20\)

Critical z-value = \(z_{\alpha/2}=z_{0.2/2}=z_{0.1}=1.2815\)

Confidence interval for population mean:

\(1550\pm (1.2815)\dfrac{154}{\sqrt{16}}\\\\ = 1550\pm (1.2815)\dfrac{154}{4}\\\\= 1550\pm 49.33775\\\\ =(1550-49.33775,\ 1550+49.33775)\\\\\approx (1500.66,\ 1599.34)\)

Required confidence interval:  (1500.66,1599.34)

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Answer:

\(3 \sqrt{5} \)

Step-by-step explanation:

\( \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} \)

Answer:

3m + 7 =22

3rd one

Hope this helps

The equation that matches the graph is 7x-30y=-275

We should know that an equation is a mathematical expression in which two sides are equal.

The equation of a line is the equation formed with the slope of the straight line

The slope of the of the is determined taking the points

\(M=\frac{Y_{2}-Y_{1} }{X_{2}-X_{1} }\)

Slope=(7-1)÷(35-5)

m=1/5

The equation of the line is

1/5 = (y-1)÷(x-35)

Cross multiplying the equation

7x-245=30y-30

Rearrange,

7x-30y=-30-245

7x-30y=-275

In conclusion the equation to match the graph is 7x-30y=-275

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Answer: 5 5/8 more feet of snow in December.

Step-by-step explanation: 5 7/8 also equals 47/8, and we need convert 1/4 to something over 8 so we can subtract the two. 1/4, but multiply both sides by 2 is 2/8. 47/8-2/8=45/8. 45/8 as a mixed fraction is 5 5/8.

Answer:

a). Point A

b). 90°

c). Anticlockwise

Step-by-step explanation:

As it's clear from the picture attached,

Triangle XYZ has been rotated about a point A to form an image X'Y'Z'.

Angle of rotation is 90° about a point A.

a). Point which is the center of the rotation → point A.

b). Angle of rotation → 90°

c). Direction of rotation → Anticlockwise

Answer:

1a) 90 = 2y + 2(2x)        1b) 45 - 2x = y          

Step-by-step explanation:

1a) 90 = 2y + 2(2x)        

1b) 90 = 2y + 2(2x)           Use the equation from above and multiply

90 = 2y + 4x

-4x          - 4x               Subtract 4x from both sides

90 - 4x = 2y                 Divide both sides by 2

45 - 2x = y

Answer:

62 words per minute

Step-by-step explanation:

558 divided by 9

Answer:

Liam can type 62 words per minute.

Step-by-step explanation:

its basic math

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Answer:

when divison u will have to remove the decimal only for working but when u write the final answer u will have to put the decimal back. like your question have 2 before decimal in answer u will have to put 2 before decimal. thanks.

Step-by-step explanation:

Answer:

> greater than

< less than

\(\geq\) greater than or equal to

\(\leq\) less than or equal to

Answer:

>greater than, <less than, \(\geq\)greater than or equal to, \(\leq\)less than or equal to

Step-by-step explanation:

lets say x<2

this means x is smaller than 2, like 0,1 or maybe even 1.9

lets say y\(\geq\)22

this means that y is 22 or bigger than 22.

this could be 22, 23, or 100.1

(any number is fine as long as they don't break the equation

Answer:

33%

Step-by-step explanation:

6/9 = .66 which is the amount that do have it

1 - .66 = .33 which is the amount that dont.

.33 x 100 = 33%

Answer:

Step-by-step explanation:

110

Answer:

The answer is A

Step-by-step explanation:

When you move v's tail to u's head, you see that the vectors align up.

The graph shows (u + v) for the given vectors u and v will be Graph A.

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

Four graphs and we have to tell which is the correct graph for (u + v).

So,

To add two vectors, add the corresponding components.

i.e. The sum of u and v  vector = ( u₁ + v₁, u₂ + v₂)

i.e.

Let u = (u₁, u₂)  and

v = (v₁, v₂)

Now,

(u + v) = ( u₁ + v₁, u₂ + v₂)

So,

From Graph A,

We have,

u = (1, 4) and v = (2, -2)

i.e.

u₁ = 1,

u₂ = 4,

v₁ = 2,

v₂ = -2

So,

Using the addition method of vector,

i.e.

(u + v) = ( u₁ + v₁, u₂ + v₂)

Substituting values,

(u + v) = [( 1 + 2), (4 + (-2))]

We get,

(u + v) = (3, 2)

So,

The graph A represents the correct points of (u +v).

Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.

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The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.

The converse statement should also be true when its condition is reversed.

Let's check all the options. Then we have

A.  If a figure is a square, then it has four sides. The converse of the statement is false.

B.  If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.

C.  If two angles are congruent, then they have the same measure. The converse of the statement is true.

D.  If two planes are parallel, then they have no points in common. The converse of the statement is true.

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

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a) E(e^(taY)) = m(at), then the moment-generating function of U is e^(tb)m(at).

b) µ is the mean of Y and σ^2 is the variance of Y.

c) the moment-generating function of X =e^((−3µ + 4)t + (9/2)σ^2t^2) and The distribution of X is normal.

a) If Y is a random variable with moment-generating function m(t), and U is given by U = aY + b, then the moment-generating function of U is e^(tb)m(at). This can be shown by using the definition of a moment-generating function:

E(e^(tU)) = E(e^(taY + tb)) = E(e^(taY)e^(tb)) = e^(tb)E(e^(taY))

Since E(e^(taY)) = m(at), then the moment-generating function of U is e^(tb)m(at).

b) To find the mean and variance of U using the moment-generating function, we can take the first and second derivatives of e^(tb)m(at) and set t = 0. The first derivative with respect to t evaluated at t = 0 is:

(d/dt)e^(tb)m(at) = be^(tb)m(at) + ae^(tb)m'(at)

Setting t = 0, we get the mean of U:

E(U) = be^(0)m(a0) + ae^(0)m'(a0) = b + a*(m'(0)) = b + a*µ

Where µ is the mean of Y.

The second derivative of e^(tb)m(at) is:

(d^2/dt^2)e^(tb)m(at) = b^2e^(tb)m(at) + 2abe^(tb)m'(at) + a^2e^(tb)m''(at)

Setting t = 0, we get the variance of U:

Var(U) = b^2e^(0)m(a0) + 2abe^(0)m'(a0) + a^2e^(0)m''(a0) = b^2 + 2ab*(m'(0)) + a^2*(m''(0)) = b^2 + 2abµ + a^2σ^2

Where µ is the mean of Y and σ^2 is the variance of Y.

c) If the moment-generating function of a normally distributed random variable Y with mean µ and variance σ^2 is m(t) = e^(µt + (1/2)t^2σ^2), then the moment-generating function of X = −3Y + 4 is e^((−3µ + 4)t + (1/2)(−3)^2σ^2t^2) = e^((−3µ + 4)t + (9/2)σ^2t^2)

The distribution of X is normal with mean (-3µ + 4) and variance (9/2)σ^2. This can be deduced by the fact that if Y is normally distributed, then a linear transformation of Y (such as X = aY + b) is also normally distributed with mean aµ + b and variance a^2σ^2.

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