Hunter is filling his swimming pool with water. Write a description of what is happening in the graph below.

Answer:

Part 1:

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

Part 2: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex]

Step-by-step explanation:

This question has to be done visually, and can is a little tricky, because depending on the way the graph intercepts the x-axis, there is going to be a different number of roots.

The roots are represented by the intersection of the function with the x-axis.

To start, take a look at the point [tex](-5,0)\\[/tex], which intercepts the x-axis like a parabola(quadratic function). This means that -5 is a "double root" of the function, or it represents two roots of the function.

Now look at the point [tex](-1,0)\\[/tex], which intercepts the x-axis in a linear way, meaning that -1 is simply a "single-root" of the function, or it only represents one root.

So for the next root, look at [tex](4,0)[/tex], which intercepts the x-axis like a cubic function. This means that 4 is is a "triple-root" of the function, and represents 3 roots of the function.

And finally, we have one final interception at [tex](7,0)\\[/tex], and the interception is in a linear form, meaning 7 is simply a "single-root" to the function, or it only represents one root.

So we can conclude that the following are roots with their respective multiplicities

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

And totally, 2+1+3+1 gives us 7, which supports our answer because we know this is a seventh-degree polynomial.(1)

Now for Part 2

We simply take each root, and subtract it from x in our function, then apply our multiplicity as the exponent

So the function would be: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex](2)

Hope this helps.

The statements that describe the given inequality are as follows:

The inequality is given by:

[tex]10x + 75 \geq 350[/tex]

It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.

Hence, the 2nd and the 3rd options are correct.

More can be learned about inequalities at https://brainly.com/question/25235995

Hey!

Answer:

R5.60=15 apricots

R10.08=15÷5.60×10.08

=27 apricots {ans}

A is the center of the dilation because it is being delarged(is that even a word) by a factor of 2 downwards, and the only place possible to be the center of this "delargation" is A

Geometry and Similarity both

Answer:

C

Step-by-step explanation:

7^-8 x 7^-4 = 7^(-8-4) = 7^(-12) = (1/7)^12 = 1/7^12

well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}[/tex]

[tex]A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}[/tex]

Answer:

the answer is 908. You need to compare the sides.

16 in x 20 in= 320 in

42in x 14 in = 588

all together it's 908

Answer:

I think the answer is 1108

Step-by-step explanation:

Area1 = 26in × 20in =520^2

Area2 = 42in × 14in =588in^2

total area = 1108in^2

Answer:

7 9/14

Step-by-step explanation:

1/2=7/14

1/7=2/14

7/14+2/14=9/14

5+2=7

Answer:

7.64285714286

Step-by-step explanation:

You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.

1. Observe Problem

It can be flipped on the x axis and y axis

so, Flipped on the x axis, it becomes:

So, flipped on the y axis, it becomes:

Which is the same thing

Answer:

Step-by-step explanation:

What does $1$2 mean?

Answer:

MN and 170°

Step-by-step explanation:

to get around the red arc you would go alphabetically to the points M, N. since u already have 170° and a circles full rotation is 360° that means 360-170=190 and so the blue arc of the circle would either have to be 190° or 170°, and since the angle of the blue arc is farther than the red arc, that would mean the blue arc is 190°.

The value of x for the given circle will be going to be 50°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In another meaning, a circle is a geometrical figure whose shape is just like round wheel.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Angles of Intersecting Chords Theorem;

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

So angle x = (60° + 40°)/2  = 50° hence it will be correct answer.

To learn more about the circle,

https://brainly.com/question/266951

#SPJ5

Answer:

Second Option

Step-by-step explanation:

The argument of the log must be greater than zero so

[tex]5 - x > 0[/tex]

[tex] -x > - 5[/tex]

[tex]x < 5[/tex]

So our domain is All Reals less than 5.

The range of log function is all reals so the answer is -oo, oo).

So the second option is the answer.

Answer:

PQR = 40

QNP = 60

Step-by-step explanation:

PQR = 180 - (60 + 80)

QNP = 180 - (40 + 80)

Answer:

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

y = 3(x - 2)² +1

A parabola is represented as:

y = a (x − h)² + k

Where:

Vertex = (h, k)

So, by comparison; the vertex of the function is:

Vertex = (2, 1)

To plot two points to the right, we select x values greater than 2.

Let: x = 3

So, we have:

y = 3(x - 2)² + 1

y = 3(3 − 2)² + 1

y = 4

Let x = 4

y = 3(x - 2)² + 1

2:37

4G 15%

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Mathematics

5 points

Let x = 4

y = 3(x - 2)² +1

y = 3(4-2)² + 1

y = 13

To plot two points to the left, we select x values less than 2.

Let: x = 1

So, we have:

y = 3(x - 2)² +1

y = 3(1 − 2)² + 1

y = 4

Let x = 0

= 3(x - 2)² + 1 y =

y = 3(02)² +1

= 13

In conclusion:

• The vertex of the parabola is (2,1)

• The two points on the right are (3,4) and (4,13)

• The two points on the left are (1,4) and (0,13)

Answer/Step-by-step explanation:

40% = .40 (As a decimal)

$100 x .40= $40 {Mark-Up}
$40 is the Mark-up.

If Needed:

$100 + $40 = $140 [Final Price of the gymnastics mat]

[RevyBreeze]

Answer:

40/100

Step-by-step explanation:

it may be this or another answer which is 140 to 1400 to 140.000 but 40/100 sould be your answer.

Answer:

15% per second

Step-by-step explanation:

If you subtract 9 from 17 you get 16 subtract one from that and you get 15.

[tex]-\frac{1}{4}+\frac{3}{4}a=-\left(-\frac{7}{4}a-1 \right)[/tex]

Multiplying both sides by 4,

[tex]-1+3a=-(-7a-4)\\\\-1+3a=7a+4\\\\-1=4a+4\\\\-5=4a\\ \\ a=\boxed{-1.25}[/tex]

Answer:

0.61

Step-by-step explanation:

(5/10)^2+(3/5)^2

(25/100)+(9/25)

25/100 + 9*4/25*4

25/100 + 36/100

61/100

0.61

Answer:

$17.00

Step-by-step explanation:

The profit=67-50

=$17

Answer:

30

Step-by-step explanation:

Substitute for x and y

2 x 3 x 5 = 6 x 5 = 30

I hope this helped and please mark mark me as brainliest!

Answer

5/5 x 8 =

Step-by-step explanation:

a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by

Answer:

the original temp was -15 hope this helped;-)

Step-by-step explanation:

Step-by-step explanation:

Let's find 120% of 124. 120% of 124 represents the restaurant bill, and the 20% tip included.

Fractions will be used for explanation.

120 can be put over 100, simplified to 1.2/1. 124 can be put over 1.

Multiply (Numerators):

[tex] \frac{124}{1} \times \frac{1.2}{1} = \frac{148.80}{1} [/tex]

$148.80 includes the restaurant bill, and the 20% tip.

Option A. $148.80 is correct.

Answer d=t*v

Step-by-step explanation: the distance is the time spent times 60 miles per hour.

[tex]1. \: \: 10 {x}^{2} y - 5 {x}^{2} y = 5 {x}^{2} y \\ 2. \: \: - 3 x - (5x) - ( - 2x) \\ \: \: - 3x - 5x + 2x = \\ \: \: - 8x + 2x = - 6x[/tex]

Hope this helps :)

Answer:

(a)

(b)

add similar elements together; simplify.