what is the best first step in solving the equation
3x^2+8x=-5

Answer:

40

Step-by-step explanation:

Substitute 25 for x

[tex] {25}^{2} - 30(25) + 225 = 100[/tex]

100 is the area of the square so that means

10 is the side length of each side of the square.

Multiply 4 by 10 to get the perimeter.

[tex]4 \times 10 = 40[/tex]

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

the half of 14.6 is 7.3 and you times it by 3.14 and its 22.922 i think

Answer:

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

i also provided with a chart i dont know if it will help

Answer:

The percentage represented is 37.5%

Options:

A. [1,10]        B. [10,20]      C. [15,25]     D. [1,30]

Answer:

A. [1,10]

Step-by-step explanation:

Given

[tex]N(t) = 100e^{-0.023t}[/tex]

Required

Interval with the fastest rate of decay

The rate of change over [a,b] is calculated as:

[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]

So, we have:

A. [1,10]        

[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]

[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]

Calculate N(10) and N(1)

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]

B. [10,20]      

[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]

[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]

Calculate N(20) and N(10)

[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]

[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]

So:

[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]

C. [15,25]    

[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]

[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]

Calculate N(25) and N(15)

[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]

[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]

So:

[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]

D. [1,30]

[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]

[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]

Calculate N(30) and N(1)

[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]

[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]

So:

[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]

By comparing the values of the calculated rates,

-2.03 is the smallest, in other words; the fastest rate

Hence, the interval [1,10] has the fastest rate of decay

The required average rate of change is the fastest on [tex][1,10][/tex].

The formula for the average rate of change on the interval [tex][a,b][/tex]  is,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]

Now, applying the given function into the above function is,

Now, [tex]a=1,b=10[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]

Now, [tex]a=10,b=20[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]

Now, [tex]a=15,b=25[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]

Now, [tex]a=1,b=30[/tex] then,

[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]

So the average rate of change is fastest on [tex][1,10][/tex]

Learn more about the topic of the average rate of change:

https://brainly.com/question/20884505

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

Answer:

[tex]y=\frac{-4}{3} +9[/tex]

Step-by-step explanation:

Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.

First, subtract 4x from both sides,

3y=-4x+9

Then, divide both sides by 3,

y=-4/3x+3

Answer:

wrong

Step-by-step explanation:

Answer:

1) ten subtracted from the product of a number and -3 is 29

2) the difference between a number and nine , divided by 4 , is -7

Answer:

H V

1 50.24

2 100.48

3 150.72

4 200.96

5 251.2

6 301.44

Plot that on the graph with H on the x axis of it created a straightish line its linear if not it’s non linear

Answer:

24 x 25/100 = 6

of means multiplication so you are multiplying the percent to the regular price. Always consider cent as a hundred and a percent out of 100 in fractions.

Answer:

18 dollars

Step-by-step explanation:

half of 24 is 12 and half of that is 6 so 24-6=18 :)

Answer:

5.9

Step-by-step explanation:

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

Answer:

17.5 is the correct answer to the question

Step-by-step explanation:

8x+40=180

8x=180-40

8x=140

X=140/8

X=17.5

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

Non-Linear

Step-by-step explanation:

Answer:linear

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

Answer:

La segunda montaña más alta del mundo tiene 8611 metros.

Step-by-step explanation:

La montaña más alta del mundo es Everest cuya altura es de 8.848m.

La altura de la segunda montaña más alta es de 2hm 3dam y 7m menos. Para calcular la altura que tiene la segunda montaña más alta del mundo, debes realizar primero un cambio de unidades sabiendo que

Entonces podes aplicar las siguientes reglas de tres simple:

Si 1 hm equivale a 100 m, 2 hm equivale a ¿Cuántos metros?

[tex]metros=\frac{2 hm*100 m}{1 hm}[/tex]

metros= 200

Si 1 dam equivale a 10 m, 3 dam equivale a ¿Cuántos metros?

[tex]metros=\frac{3 dam*10 m}{1 dam}[/tex]

metros=  30

Entonces, la altura de la segunda montaña más alta es de 200 m+30 m+ 7 m menos que el Everest. Esto es, 237 metros menos que la montaña más alta del mundo. Entonces:

8848 metros - 237 metros= 8611 metros

La segunda montaña más alta del mundo tiene 8611 metros.

Answer:

2

Step-by-step explanation:

3/4+5/4=8/4=2

The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.

The first step is to determine the total cost of the items bought.

Cost of the bicycle = $446.60.

Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27

Cost of the bike gloves = $35.82

Total cost = $494.69

The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31

The amount of money left is not sufficient to buy the new biking outfits.

To learn more about inequality, please check: https://brainly.com/question/5031619

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Given:

The graph of a function and a blue line.

To find:

The correct name for the blue line.

Solution:

Domain: It is the set of inputs. These are the x-values for which the function is defined.

Range: It is the set of outputs. These are the y-values for the function.

Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.

y-intercept: It is the intersection point of the function and the y-axis.

From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.

So, the blue line is an asymptote of the function.

Look at the graph shown below the blue line represents an asymptote of the graph.

Answer:

(x−5)^2+(y+6)^2=9

Step-by-step explanation:

Answer:

127x10^-3

Step-by-step explanation:

0.127=

[tex]127 \times {10}^{ - 3} [/tex]

Answer:

wonderful

Step-by-step explanation:

a5= A1=7 an=2an1

an16

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)