Practice 3
Solving a Special Solution inequality
17<3h+2<2
h>______
h <______

Answer:

9,10 or -10,-9

Step-by-step explanation:

Let call the first integer n and the second integer n+1 since they are consecutive.

Since the product of the integer is 90 set up this equation

[tex]n \times (n + 1)= 90[/tex]

[tex]n {}^{2} + n = 90[/tex]

Subtract 90 to get it on the left side

[tex] n {}^{2} + n - 90 [/tex]

Apply quadratic formula

[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]

[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]

The roots are n= -10 and 9. We can use either root but let use a positve root

We are taking the positve roots

Plug 9 as n into n+1

[tex]9 + 1 = 10[/tex]

or

[tex] - 10 + 1 = - 9[/tex]

Answer:

2.83

Step-by-step explanation:

36 pi = pi×r×r×h

36=r×r×h

h= 4

36= r×r×4

8=r×r

[tex] \sqrt{8} = x[/tex]

r= 2.83

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

Answer:

1100                                                                 brainliest please

Step-by-step explanation:

1000×2×0.05=100

1000+100=110

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

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Is it correct and how do I determine the domain and range of the function? Thanks

Answer:

c because its c its c and nothing but c

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

Answer:

x<-2 or x>6

written as x<-2;x>6

Step-by-step explanation:

Answer:

A.10

Step-by-step explanation:

An exponent is a number or letter written above and to the right of a mathematical expression called the base.

x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means x is multiplied by itself n times.

Answer:

 [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] =  [tex]3(\frac{\pi }{4} )[/tex]

Step-by-step explanation:

Explanation:-

Given that

         [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]

  =  [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]

 = [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]

=  [tex]3(\frac{\pi }{4} )+ 1 )[/tex]

=  [tex]3(\frac{\pi }{4} )[/tex]

Answer:

3/14

Step-by-step explanation:

In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.

So now find 5/14 - 1/7.

1/7 converted to a denominator of 14 is 2/14.

So we have 5/14-2/14 = 3/14. That is your answer.

The first thing that we should do is turn this into a mathematical formula.

[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .

This is more generally written as

[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]

So, our answer is 9/5 or 1.8

Answer:

$22395

Step-by-step explanation:

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

Answer:

1 hour and 15 minutes.

Step-by-step explanation:

Since Janet, an experienced shipping clerk, can fill a certain order in 2 hours, while Tom, a new clerk, needs 3 hours to do the same job, to determine how long will it take them to fill the order by working together you must perform the following logical reasoning:

Each of them will do half the work, so in principle, Janet will do her work in 1 hour, while Tom will do it in 1 hour and a half. Now, the remaining half hour that Tom has more than Janet can in turn be divided in two, with which each one will do their work in 15 minutes. Thus, the order will be ready in 1 hour and 15 minutes.

#First u find the gradient first, remember that the formula of equation of the line is y=mx + c

y = 3x - 3

so the gradient (m) is 3

#Now u find the equation of the line

y - y1 = m(x - x1)

y - 4 = 3(x - 6)

y - 4 = 3x - 18

y = 3x - 18 + 4

y = 3x - 14

Answer: ( 2,12 )

Step-by-step explanation:

Answer:

no lo se xd sorry

no la se jjgtubxdtjk

Answer:

Step-by-step explanation:

BED=52

BAC=43

B=180-43-52=85

DE/8=15/12, DE=10

BC/15=9/10, BC=13.5

(9+EC)/15=9/10, 9+EC=13.5, EC=4.5

BD/10=12/15, BD=8

Step-by-step explanation:

When a = 3

2a + 8

= 2* 3 + 8

= 6 + 8

= 14

Answer:

-3 1/6

Step-by-step explanation:

14 = -6k - 5

6k = -19

k = -19/6 = -3 1/6

Answer:

15:45 (or 15 to 45)

Step-by-step explanation:

Answer:

Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.

We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.

We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.

Step-by-step explanation:

y = 350 miles

count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 455 miles

count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 140 miles

count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 280 miles

count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

Answer:

A. 324

Step-by-step explanation:

60 x 4 = 240

8 x 8 = 64

1/2 x (5 x 8)= 20

Add them then you get 324

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6