a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?

First,

Length of Rectangle = (x + 9) units

Breadth of Rectangle = (x + 3) units

so,

Area = (x + 9) * (x + 3)

= x² + 9x + 3x + 27

= (x² + 12x + 27) units

Answer:

Step-by-step explanation:

Use the equation of circumference and substitute the value of radius:

Compare the answer choices to find the correct one, which is:

[tex]\\ \sf\longmapsto Circumference=2\pi r[/tex]

[tex]\\ \sf\longmapsto Circumference=2(3)(π)=6\pi[/tex]

Now

Check 1st option

[tex]\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi[/tex]

Answer:

64

Step-by-step explanation:

123+(-1)/2-(-3)=

122/2=61

61+3=64

Answer:

D / 350

Step-by-step explanation:

3/10 x 2/10= 6/100=3/50

so yah!

Answer:

See below:

Step-by-step explanation:

No, it appears to be incorrect if its based off the image you have provided.

I can help you make it correct though.

I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.

Equations

So, to find the slope, we need to get an equation. Most slope's are in the [tex]y=mx+b[/tex]  form which have a few components that we need to know to figure it out.

Now that we know this, we can start breaking i down and soon begin graphing.

The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.

Graphing

To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.

So, our points would be:

Cheers!

Answer: 36.

Step-by-step explanation:

4+5 = 9

Answer:

.13

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

42=42+9b

We move all terms to the left:

42-(42+9b)=0

We add all the numbers together, and all the variables

-(9b+42)+42=0

We get rid of parentheses

-9b-42+42=0

We add all the numbers together, and all the variables

-9b=0

b=0/-9

b=0

Answer:

7 whole times, 7.2 decimal times

Step-by-step explanation:

Divide the numbers

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Answer:

A = 9 9/10 sq inches

Step-by-step explanation:

A = lw

A = 12/5 x 33/8

A = 396/40

A = 9 9/10 sq inches

Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

Answer:

x=14

Step-by-step explanation:

2x+4=3x-10

Add 10 to both sides, leaving you with

2x+14=3x

Subtract 2x from both sides, leaving you with

x=14

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

Hope this helped!!

Answer:

A. 5r3 − 34r2 + 44r − 16

Step-by-step explanation:

Answer:

The U.S. population 65 and older is now the largest in terms of size and percent of the population, compared with any previous census, according to a new 2010 Census brief [PDF] released today from the U.S. Census Bureau on the nation's older population. The group grew at a faster rate than the total population between 2000 and 2010.

According to the 2010 Census, there were 40.3 million people 65 and older on April 1, 2010, increasing by 5.3 million since the 2000 Census when this population numbered 35.0 million. The percentage of the population 65 and older also increased during the previous decade. In 2010, the older population represented 13.0 percent of the total population, an increase from 12.4 percent in 2000.

65 and Older Population Grew Faster than Total Population

Between 2000 and 2010, the population 65 and older grew 15.1 percent, while the total U.S. population grew 9.7 percent. The opposite happened between 1990 and 2000 when the growth of the older population was slower than the growth of the total population, with growth rates of 12.0 percent and 13.2 percent, respectively.

Population Size and Growth Varied Among the Older Age Groups

Examining the growth of 10-year age groups within the older population shows that 85- to 94-year-olds experienced the fastest growth between 2000 and 2010. This group grew by 29.9 percent, increasing from 3.9 million to 5.1 million.

Among five-year age groups in the older population, 65- to 69-year-olds grew the fastest. This age group grew by 30.4 percent, rising from 9.5 million to 12.4 million. The 65- to 69-year-old group is expected to grow more rapidly over the next decade as the first baby boomers start turning 65 in 2011.

The only older population age group to decline between 2000 and 2010 was the 75- to 79-year-old age group. This group decreased by 1.3 percent from 7.4 million to 7.3 million. The changes in this group mainly reflect the relatively low number of births during the early 1930s as fewer numbers of people entered these ages between 2000 and 2010.

Step-by-step explanation:

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

Answer:

y = 6x - 4

Step-by-step explanation:

I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.

Slope-intercept form: (y = mx + b) y = 6x - 4

Standard form: (Ax + By = C) -6x + y = -4

Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)

Tell me if I'm wrong :)

Answer:

Step-by-step explanation:

Bu using the formula of Two-Points form:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]

Substitute the points in the above equation:

y+3/-5+3=x-6/-6-6

y+3/-2=x-6/-12

-12(y+3)=-2(x-6)

-12y-24=-2x+6

2x-12y-24-6=0

2x-12y-30=0

Or

x-6y-15=0

Answer:

6:5:3

5:3:6

3:5:6

5:6:3

Step-by-step explanation:

Answer:

A is answer

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

5 x - 3- 3 x =29

Move the constant to the right-hand side and change its sign

5 x - 3 x = 29 + 3

Collect like terms

2 x = 29+ 3

Add the numbers

2x= 32

Divide both sides by 2

and you get x=16

Step-by-step explanation:

5x - 3 = 3x + 29

5x - 3x = 29 + 3

2x = 32

x = 32/2 = 16

x = 16 ans

therefore, value of x is 16.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

ebony walks 118*60*5= 35400 steps

Javier walks 6000 in 50 minutes

5 hours is 300 minutes

which means we walks 6000 steps 6 times

6*6000= 36000 steps

therefore javier walked more steps

Answer: I would go with A.(B)

Step-by-step explanation:

The graph A. is the correct one

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

31800000

Step-by-step explanation:

Answer:

the total cost would be $ 780.00

Step-by-step explanation:

step by step explanation