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3 years ago

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

1 answer:

7 0

To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) < 9x - 18

Distribute 9:
18x + 9 < 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 < 9x - 18 - 9
18x < 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x < 9x - 27 - 9x
9x < -27

x < -3

Therefore, values of x < -3 will satisfy the given equation.

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Please need help on this

artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

$x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0$

Complete the square with each variable to find what numbers should go in place of the question marks.

$(8/2)^2 = 4^2 = 16$

$(-14/2)^2 = -7^2 = 49$

Add 16 and 49 to both sides of the equation.

$x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9$

So the center is (-4,7) and the radius is 3.

5 0

3 years ago

HELP I NEED HELP ASAP

hram777 [196]

Answer:A??

Step-by-step explanation:

6 0

2 years ago

Find the total surface area of the net bellow

9966 [12]

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

4 0

2 years ago

rodney bought a 25pound bag of dog food his dog eat 10and2/5poundsof foodinthe firstmounthand104/5poundsof the foodin the second

MakcuM [25]

Answer:

3⅘ lb

Step-by-step explanation:

(a) Amount eaten

Eaten = 10⅖ + 10⅘

Think of pounds as pies. Each pie has 5 slices.

10⅖ pies = 10 pies + 2 slices = 50 slices + 2 slices = 52 slices

10⅘ pies = 10 pies + 2 slices = 50 slices + 4 slices = 54 slices

Eaten = 52 slices + 54 slices = 106 slices

(b) Amount remaining

Remaining = Original – Eaten

Original = 25 pies = 125 slices

Eaten = 106 slices

Remaining = 125 slices -106 slices

Remaining = 19 slices Convert slices to pies

Remaining = 15 slices + 4 slices

Remaining = 3 pies + 4 slices Convert to mixed fraction

Remaining = 3⅘ pies Convert pies to pounds

Remaining dog food = 3⅘ lb

8 0

2 years ago

Read 2 more answers

Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviati

Liula [17]

Solution: We are given:

$Range =2.76$

$Standard-deviation=0.807$

Now let's find the estimated value of standard deviation using the range rule of thumb. According to range rule of thumb, the estimate of standard deviation is:

$S\approx \frac{2.76}{4}= 0.690$

Therefore the estimated standard deviation is 0.690

is this an acceptable approximation?

Answer: c. Yes, because the error of the range rule of thumb's approximation is less than 15%.

Explanation:

The difference between estimated standard deviation and actual standard deviation is:

0.807 - 0.690 = 0.117

Now let's find the percentage of error

$\frac{0.117}{0.807} \times 100= 14.50\%$ .

Therefore, the error of the range rule of thumb's approximation is less than 15%.

4 0

3 years ago