F = G(m1m2/d2)
Solve for m1

The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

In this question, we have been given an inequality  2(4x + 1) < 3(2x - 3)

We need to solve given inequality.

2(4x + 1) < 3(2x - 3)                          ..............(Given inequality)

8x + 2 < 6x - 9               .............(simplify both sides of the inequality)

8x + 2 - 6x < 6x - 9 - 6x             ............(subtract 6x from both the sides)

2x + 2 < -9

2x + 2 - 2 < -9 - 2                       ............(subtract 2 from each side)

2x < -11

2x/2 < -11/2                               ................(Divide each side by 2)

x < -11/2

Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

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The equation of line in slope intercept form can be written as y = mx + c where m is the slope of line and c is the y intercept.

We are given three equations namely y = 2x -2, y = -x + 1 and y = x - 4 and we need to determine the description of equation, slope and y intercept. The equation y = 2x - 2 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 2 and c = -2. Thus, slope is 2 and y intercept is -2. The equation y = -x +1 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = -1 and c = 1. Thus, slope is -1 and y intercept is 1. This equation y = x - 4is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 1 and c = -4. Thus, slope is 1 and y intercept is -4. The graphs of the equation are attached below.

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Answer:

5 minutes and 20 seconds

Step-by-step explanation:

basically your equation is: (rate of filling container) x (time to fill container)

- (minus)

(rate of leaking from container) x (time to fill container)

=

(the size of the container in gallons)

--------------------

step 1 - so t = the time in minutes to fill14 gallon container

step 2 - convert 2 3/4 to quarters so:

2 • 4 = 8 and it’s in quarters so 8/4 then

8/4 + remaining 3/4 = 11/4

step 3 -  so then you fill in the equation:(11/4)•t - (1/8)•t = 14

step 4 - multiply both sides of the equation by 8:

(11/4) = 2.75 • 8 = 22

(1/8) = 0.125 • 8 = 114 • 8 = 112

so the equation is:

22t - t = 112

step 5 - divide both sides of the equation by 22:

22t / 22 = t 

112 / 22 = 5.333

so t = 5.333 

step 6 - convert 

so 5.333 has a repeating decimal of 0.3 which is 1/3. so to convert that to seconds, take 1/3 of  60:

 60 / 3 = 20 

so it takes 5 minutes and 20 seconds to fill the 14 gallon container

hope this helps :)

Answer:

8.368, 156.8, 2.52$

Step-by-step explanation:

0.8% of 1,046 is 8.368

to get this first find 80% of 8.368 so you can get 836.8 and then you move it back 2 places to get 8.368

160% of 98 will be 156.8

first split it up into 2 problems for it to be easier

100% of 98

and 60% of 98

100% of 98 = 98

60% of 98 = 9.8*6 = 58.8

98+58.8 = 156.8

For the 3rd one it will be 2.52$ srry gtg soon so can't explain

Answer:

C=38.48+0.5x

about 143 miles

Step-by-step explanation:

$38.48 base cost plus $.50 per mile, so after x miles, it would be 0.5x

so C=38.48+0.5x

to find how many miles Paul can travel

we set 110=38.48+0.5x

then solve

x=143.04

so Paul can travel about 143 miles

Answer:

Step-by-step explanation:

21

Answer: 21

Step-by-step explanation: To solve for AC, you will need to add segments AB and BC together. So, 9+12=21

The solution to the inequality |2x - 3| > 5 is: x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

Given that we need to find the solution to the inequality |2x – 3| > 5

To solve the inequality |2x - 3| > 5, we can break it down into two cases:

Case 1: 2x - 3 > 5

In this case, we have:

2x - 3 > 5

2x > 5 + 3

2x > 8

x > 4

Case 2: -(2x - 3) > 5

In this case, we have:

-(2x - 3) > 5

-2x + 3 > 5

-2x > 5 - 3

-2x > 2

x < -1 (remember to reverse the inequality when multiplying or dividing by a negative number)

Combining the solutions from both cases, we find that the solution to the inequality |2x - 3| > 5 is:

x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

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Answer:

Multiply 5/2 to both sides

Step-by-step explanation:

Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.

the equation of the line will be x + y = 0 and it is being graphed.

Point on the line = (1, -1)

Slope of the perpendicular line = 1

So, the slope of the line will be

m × 1 = - 1

m = - 1

Equation of the line will be given by:

y - y₁ = m (x - x₁)

y - (- 1) = (- 1) (x - 1)

y + 1 = - x + 1

x + y = 0

We have graphed the equation.

Therefore, we get that, the equation of the line will be x + y = 0 and it is being graphed.

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Answer: 9 inches

Step-by-step explanation:

       We know that the area of a square can be solved with the following formula when s is the length of one side. We will plug in our known values and solve:

        a = s²

        (81) = s²

        [tex]\sqrt{81}[/tex] = s

        9 in = s

       One side of the rug is equal to 9 inches.

Answer:

x= 2/3 or x= −4

Explanation:
3x2+16x−10=6x−2

Step 1: Subtract 6x-2 from both sides.

3x2+16x−10−(6x−2)=6x−2−(6x−2)

3x2+10x−8=0

Step 2: Factor left side of equation.

(3x−2)(x+4)=0

Step 3: Set factors equal to 0.

3x−2=0 or x+4=0

x=2/3 or x= −4

Answer: 11/16

Step-by-step explanation:

1/8=2/16

1/4=4/16

5/16=5/16

add it all together

Answer:

y=5x-13

Step-by-step explanation:

1. (3,2) = x,y

2. substitute each x and y digit into y=mx+b format

3. 2=5(3)+b

4. solve for 2=5(3)+b which equals b=-13

5. ANSWER IS SOLVED WHEN ANSWERED IN y=mx+b FORMAT

5. y=5x-13

5x + 10 is the simplified form of the expression 2( 3x + 4 ) - ( x - 2 ).

Given the expression in question;

2( 3x + 4 ) - ( x - 2 )

To expand and simplify, get rid of the first parenthesis using distributive property.

2( 3x + 4 ) - ( x - 2 )

3x( 2 ) + 4 ( 2 ) - ( x - 2 )

6x + 8 - ( x - 2 )

For the second parenthesis, the negative sign before it affects everything inside it, hence;

6x + 8 - ( x ) - ( - 2 )

6x + 8 - x + 2

Collect like terms

6x - x + 8 + 2

Add 6x and -x

5x + 8 + 2

Add 8 and 2

5x + 10

Therefore, the simplified form of the expression is 5x + 10.

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Answer: 84

Step-by-step explanation:

Bhamini =

42 x 6 = 25.2

25.2 x 1/3 = 84

Chas =

252.84 - 42 = 126

Bhamini gets £84!

Hope this answered your question, don't ell Mr Gohil I helped you lol.

Answer provided by Zack.

Answer:

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

Step-by-step explanation:

not even 30 points lol it says 18 ANYWAYS hope this helps

Answer:

3x+1y=0

Step-by-step explanation:

the equation of a straight line on a graph is y= mx+c
where m is the gradient and c is the y intercept.

we know that the line passes through (1,-3) and has a gradient of 3, therefore we can substitute these values into the equation.

-3 = 3*1 +c
3 = 3+c
c = 3-3 = 0
therefore the equation of this line is y = 3x+0

now we have to write this in the form ax+by=c

3x+1y=0

The equation of the inverse function is f'1(x) = x^2 + 6 and the domain is all set of real numbers

The function f(x) is given as

f(x) = √x -6

Rewrite as

y = √x -6

Switch/swap the positions of x and y in the above equation

The equation becomes

x = √y -6

Make y the subject of the formula in the above equation

The equation becomes

y - 6 = x^2

Add 6 to both sides

y = x^2 + 6

Rewrite as an inverse function

f'1(x) = x^2 + 6

Hence, the inverse function is f'1(x) = x^2 + 6

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Answer:

f(×)=(×+6)^2;×>-6 there we go..

Answer:

Michael age is 13 and keanus age is 39

Step-by-step explanation:

Michael is 1/3 of keanus age

so Michael is 1 and keanus is 3 so if u add them all up it's 4 so 52 divide by 4 it's 13 so Michael is 13 and if you times three it will be 39, and if u add their age together it adds up to 52 so it's 13

Both of the blanks given in the table can be filled in by the ratio 18/1.

Here, we are given a table as shown in the image given above.

There is a proportional relationship given between Demi's test scores and her studying time.

When she studies for 3 hours, her test score is 54.

Thus, the ratio of her test score to hours studying is - 54/3

= 18/1

Similarly, when she studies for 4 hours, her test score is 72.

Thus, the ratio of her test score to hours studying is - 72/4

= 18/1

Thus, both of the blanks given in the table can be filled in by the ratio 18/1.

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Answer:

Step-by-step explanation:

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the

square?

find the area with the formula ½ × d ^ 2 Square units, take the square root of the result and find the side, multiply by 4 and you have the perimeter.

1/2 11.3^2 =

1/2 127,69 =

63.845 m²

√63.845 =

7.99 m

7.99 * 4 =

31.96 m

Answer:

1, 2, 8

Step-by-step explanation:

Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.

1, 2, and 8 are corresponding angles.

Answer:X squared =4/9 is c

              X to the third power is a

               X squared =81/46 is b or d

               X to the third power is d or b

The given function f(x) =3x² - 48/2x+8 has no Horizontal asymptote.

A horizontal asymptote may be defined as a horizontal line at which the graph of the function will appear to meet but will not actually meet. It is a tool to determine the end behavior of the function. We are given the function f(x) = 3x² - 48/2x+8. Now to find horizontal asymptote of this function we first find lim ₓ→∞ f(x) that is

lim ₓ→∞ (3x² - 48)/(2x + 8)

lim ₓ→∞ 3/2(x - 4) = ∞

Now, we calculate lim ₓ→-∞ f(x) that is

lim ₓ→-∞ (3x² - 48)/(2x + 8)

lim ₓ→-∞ 3/2(x - 4) = -∞

Since, both the limits are different therefore function does not have any horizontal asymptote.

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The amount in the savings account of Mrs. Martins after 9 years will be $4081.

According to the question,

We have the following details:

The amount deposited in the savings account or the principal amount = $2,650

Interest per year = 6%

Time = 9 years

(It is given that the interest is not compounded.)

Now, using the formula of simple interest, we will first find the total interest after 9 years,

Simple Interest (S.I.) = (Principal * Rate * Time)/100

S.I. = (2650*6*9)/100

S.I. = (2650*54)/100

S.I. = 143100/100

S..I. = $ 1,431

Now, the total amount in the savings account would be the sum of the principal amount and the total interest.

So, we have:

Total amount = Principal + S.I.

Total amount = $ (2,650+1,431)

Total amount = $ 4,081

Hence, the total amount in Mrs. Martins's savings account is $ 4,081.

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The domain and the range of the graph are x >= 1 and -∝ < y < ∝, respectively

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The domain

On the graph of the function, we can see that:

The x values start from 1 and it extends indefinitely to the right

This means that the domain is x >= 1

The range

On the graph of the function, we can see that:

The y values extend indefinitely on all sides of the coordinate plane

This means that the range is -∝ < y < ∝

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Answer:

-4 2/21

Step-by-step explanation:

-2 3/7 - 1 2/3

Change to improper fraction

-2 3/7 = -17/7

- 1 2/3 =-5/3

-17/7-5/3

L.C.M=21

-51-35/21

= -86/21

= -4 2/21

Hope it helps..

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To purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

As given in the question,

Cost of the mobile set Mrs Sharma purchase = Rs 18000

VAT added on purchasing a mobile set is equal to 13%

Amount of VAT on mobile set is equal to

= 13% of 18000

= (13/100) × 18000

= 13 ×180

= Rs 2340

Mrs Sharma needs to pay amount to purchase a mobile set

=18000 + 2340

= Rs 20,340

Therefore, to purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

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