HELPPPP PLEASE John walks away from his house down a straight street. The graph shows John's distance from his house over time. Describe his trip. Find John's speed on each section of the walk.

Answer:

x = 1, x = 3

Step-by-step explanation:

Given function:

[tex]f(x)=\left(\log(3x)-2 \log(3)\right) \cdot \left(x^2-1\right)[/tex]

The roots of the function are when f(x) = 0:

[tex]\begin{aligned}f(x) & = 0\\ \implies \left(\log(3x)-2 \log(3)\right) \cdot \left(x^2-1\right) & = 0\\\\ \textsf{Therefore,} \:\:\:\log(3x)-2 \log(3) & = 0\\ \textsf{and }\:\:\:x^2-1 & = 0 \end{aligned}[/tex]

Case 1

[tex]\begin{aligned}\left(\log(3x)-2 \log(3)\right) & = 0\\\log(3x) & = 2 \log(3)\\ \log(3x) & = \log (3)^2\\ \log(3x) & = \log (9)\\ 3x & = 9\\ x & = 3\end{aligned}[/tex]

Case 2

[tex]\begin{aligned}\left x^2-1\right & = 0\\x^2 & = 1\\ x & = \pm 1\end{aligned}[/tex]

As logs of negative numbers cannot be taken, x = 1 only.

Therefore, the roots of the given function are: x = 1, x = 3

f(x) = √5x - 7+10  = ( 0, 3) ( -0.6 , 0 ) are graph value .

What does a graph's value represent?

What are the names of the values on a graph?

On f(x) = √5x - 7+10  = ( 0, 3) ( -0.6 , 0 )

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Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.

Hence option a)2√74 ft is the correct answer.

The Pythagoras theorem can be expressed as;

c = √( a² + b² )

Where c is hypotenuse, a and b are the other two sides of the right triangle.

Given the data in the image;

Plug the given values into the above equation and solve for the hypotenuse 'c'.

c = √( a² + b² )

c = √( (14)² + (10)² )

c = √( 196 + 100 )

c = √( 296 )

296 can be written as 4 × 74, and 4 can further be written as 2²

Hence

c = √( 2² × 74 )

c = 2√74 ft

Given the length of the perpendicular height and base length, the hypotenuse of the right triangle is 2√74 ft.

Hence option a)2√74 ft is the correct answer.

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Answer:2 x^2 + 7 x + 15

Step-by-step explanation:

Answer:

-2x^2-7x-5 or -(x+1)(2x+5)

Step-by-step explanation:

We combine -2x and 5x which becomes a -5x equaling to -7x

And then we add -10 and 5 to get -5.

Answer:

yes. we can write it as a fraction= 56214/100000

it is terminating because it has a stop and its not repeating

Step-by-step explanation:

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.

You didn't show her answer so I don't know her mistake, but you round to the nearest hundredth by looking at the ten's value, if it's a 5 or greater, add one to the hundredths digit. If its lesser than five, leave the hundredth place.

Ex. Rounding 1,567. Because the tens digit is a 6, you round the 5 up to a 6 and get rid of the tens and one digit. 1,567 rounds to 1,600

Ex. Rounding 1,445. Because the tens digit is a 4, you leave the hundredths digit and get rid of the rest. 1,445 rounds to 1,400.

Hope this helps!

Answer:

10:30 On the Next day

Step-by-step explanation:

This Is a Answer

Step-by-step explanation:

[tex](a + 2 {y}^{2} )( {a}^{2} - 2a {y}^{2} + 4 {y}^{4} )[/tex]

Choose to use same variables next time to avoid confusions!!!!.

Answer:

b) -8

c) 11

d) {x is a member of all real numbers | except for 2}

Answer:

(a) Choice C is correct

(b) f(x) = -8  Point is (1, -8)

(c) x =11  Point is at (11,2)

(d) Domain of f is x is [tex]\:x < 2\quad \mathrm{or}\quad \:x > 2\:[/tex]  
    In interval notation [tex]\:\left(-\infty \:,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]

(e)  x intercept is at x = -7

(f) y-intercept is at [tex]-\frac{7}{2} = -3.5[/tex]

Step-by-step explanation:

(b) Plug in x = 1 into the equation [tex]\:\:\frac{x+7}{x-2} = \frac{1+7}{1-2} = \frac{8}{-1} = -8[/tex]

(c) If f(x) = 2 then we get [tex]2 = \:\:\frac{x+7}{x-2}[/tex]  

==> 2(x-2) = x + 7

==>   2x - 4 = x + 7

==> 2x - x = 7 +4 =11

==>  x = 11

(d) Domain of f is all values of x -∞ < x < ∞ except at x = 2 since at x = 2 the denominator is 0 and division by zero is undefined; So we can say the domain is x < 2 or x  >2

(e) To get the x-intercept set y = 0 and solve for x
We get (x+7)/(x-2) = 0

x+7 = (x-2)(0) = 0

x = -7 and the x intercept is at point (-7, 0)

(f) [tex]y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0[/tex]

Substitute for x = 0 to get y = (0+7)/(0-2) = -7/2

Answer:

L = 32

W = 8

Step-by-step explanation:

Set it up algebraically:

A = L x W

A = 40 m^2

L = 4w

40 = 4w x w

40 = 5w

40/5 = 5w/5

W = 8

L = 4(8)

L = 32

Answer:

the vector is 24 OVER 67

Step-by-step explanation:

and never the less the vector is the number u Will have total of 67 and 24

Based on the number of days that the health inspector and the fire inspector visits, the table for their next 4 visits is:

Number of visits        Health Inspector visits           Fire inspector visits

          1                                             7                                          12

          2                                            14                                        24

          3                                             21                                        36

           4                                            28                                       48

The number of days till both inspectors visit on the same day is 84 days.

The model that would be best to use and solve the problem of the number of days till both inspectors visit is the Lowest Common Multiple.

This shows the number of days till both inspectors would visit based on their visiting interval.

The lowest common multiple of 7 and 12 is 84 which means that the health and fire inspectors would visit after 84 days on the same day.

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Answer:

h(x=8x)2x

dhhdndjeibdhxhdhsjzujdhdhxhdhhxbdnsj djjdndbzhhx

Answer:

Step-by-step explanation:

Alberto was in the shelter with his friends for four days how many Ligias were they?

Correct answer is D. The statement that shows Sam's purpose for making the investment,  is; Sam wants an investment that offers a higher return than stocks.

Sam desires an investment that delivers a larger return than stocks, which is the phrase that best demonstrates his motivation for making the investment.

Bonds are a sort of investment that may be held for a time in the hopes of earning returns, as is common knowledge. The two most popular forms of investments traded on the stock market are bonds and stocks. Buyers just hold them in the belief that they will generate returns.

Bonds, however, are often safer investments than stocks. In actuality, stocks are a type of investment that is excessively volatile.

Sam desires an investment that delivers a larger return than stocks, which is the phrase that best describes his motivation for making the investment.

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Answer:

Sam wants a steady income from his investment.

Step-by-step explanation:

Got it right on edmentum

The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).

In accordance with geometry, three points are collinear if and only if these points lie on the same line. Then, the geometric system is represented by the following model:

AC = AB + BC

If we know that AB = x + 4, BC = 2 · x - 1 and AC = 4 · x - 7, then the value of x and the lengths of the line segments are, respectively:

4 · x - 7 = (x + 4) + (2 · x - 1)

4 · x - 7 = 3 · x + 3

x = 10

AB = 10 + 4

AB = 14

BC = 2 · 10 - 1

BC = 20 - 1

BC = 19

AC = 4 · 10 - 7

AC = 40 - 7

AC = 33

The solution of the geometric system is (x, AB, BC, AC) = (10, 14, 19, 33).

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Answer:

15

Step-by-step explanation:

x(x + 2) = 27 + 6(x + x + 2)

x^2 + 2x = 27 + 6(2x + 2)

x^2 + 2x = 27 + 12x + 12

x^2 + 2x - 12x - 12 - 27 = 0

x^2 -10x - 39 = 0

(x + 3)(x - 13) = 0

x + 3 = 0

x = -3 (extraneous solution)

x - 13 = 0

x = 13

x + 2 = 15

Answer:

6.47

Step-by-step explanation:

all you have to so is count the number of black lines between 6.4 and 6.5. since there are 7, you add 0.07 to 6.4

6.4

+0.07

---------

6.47

Answer:

Step-by-step explanation:

7 days= 1 week

42 days= 42/7 = 6 weeks

For 1 week 1 bag of food

For 6 weeks 6 bags of food

Answer:

x>10000

Step-by-step explanation:

Step-by-step explanation:

He added 8 to each number on the left column to get the number on the right column

So that

X 1, 2, 3, 4, 5, 6,

Y 1+8 = 9

Y 2 + 8 = 10

Y 3+8 = 11

Y 4 + 8 = 12

Y 5 + 8 = 13

Y 6 + 8 = 14

Answer:

Important note: "of" means to multiply!
22% of 150 is 33

Step-by-step explanation:

[tex]Y = P\% \times X\\Y = 22\% \times 150\\P = 22\%\div100 = 0.22\\Y = 0.22 \times 150\\Y = 33[/tex]

Hope this helps!

Using angle sum property for angles For, the given triangle, the value of x = 23°

The angle sum feature is a characteristic shared by all varieties of triangles. Triangles have an angle sum property of 180 degrees. This indicates that a triangle's internal angles add up to 180 degrees.

The angle 135 ,makes a linear pair with the line

So, the angle will be -

180 - 135

= 45°

Using angle - sum property,

x + 45 + 112 = 180

x + 157 = 180

x = 180 - 157

x = 23

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The gas tank holds 60 quarts.

What is quarts?

The quart is an English volume unit equivalent to one-quarter gallon. There are now three types of quarts in use: the liquid quart and dry quart of the US customary system, as well as the imperial quart of the British imperial system. All of them are essentially equivalent to one liter. It is split into two pints or four cups (in the United States). The exact size of the quart has historically fluctuated with the varying values of gallons over time and in relation to different commodities.

1 US gallon = 4 US quarts

so, 15 US gallons = 15 x 4 = 60 quarts

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Answer:

[tex]x=\pm \sqrt{\frac{y-c}{a}}[/tex]

Step-by-step explanation:

[tex]y=ax^2 + c \\ \\ ax^2 =y-c \\ \\ x^2=\frac{y-c}{a} \\ \\ x=\pm \sqrt{\frac{y-c}{a}}[/tex]

$698.18 of his electricity is deductible

A ratio or figure stated as a fraction of 100 is called a percentage. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.

Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?

Based on the ratio of the office's area to the home's area, this percentage was calculated.

A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.

How much of the $4800 in annual electricity costs for the house is deductible?

deduction =[tex]\frac{office area}{total area}total electric bill[/tex]

d =   [tex]\frac{20.16}{2200}4800[/tex]

d =   [tex]\frac{320}{2200}4800[/tex]

His electricity costs are deductible at d = $698.18

To learn more about $698.18 of his electricity is deductible

A percentage is a number or ratio expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.

Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?

Based on the ratio of the office's area to the home's area, this percentage was calculated.

A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.

How much of the $4800 in annual electricity costs for the house is deductible?

deduction =[tex]\frac{office area}{total area}total electric bill[/tex]

d =   [tex]\frac{20.16}{2200}4800[/tex]

d =   [tex]\frac{320}{2200}4800[/tex]

His electricity costs are deductible at d = $698.18

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The rating shows the quality and performance of the album.

A review or assessment of something in terms of quality, quantity, or a mix of the two is called a rating. A rating is something that indicates the performance or quality of anything. If the rating is higher then it is superior and if it is lower then it is poorer.

Given ratings are 9.6, 9.8, 7.2, 6.4, 10.0, 8.9, 5.0, 9.8, 9.4, 6.8. In the given ratings the highest rating is 10 which means that it is of superior quality and the lowest rating is 5 which means that the quality is poorer.

Therefore, the rating shows the quality and performance of the album.

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