Plz help me with this

Divide through everything by b :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]

Since a/b < c/d, it follows that

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]

Multiply through everything on the right side by b/d to get

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]

and a/b < c/d tells us that

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]

Then

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

Answer:

They add up to equal 90 degrees.

Answer:

The Federal Reserve System, the central bank of the United States, was founded by Congress to provide a safe, flexible and stable monetary and financial system.

Answer: Student ticket cost $2 and an adult ticket cost $3.

257 kids total attended

Step-by-step explanation:

Answer: See the attached image below

==========================================================

Explanation:

Part A

The rule for a 180 degree rotation about the origin is

[tex](x,y) \to (-x,-y)\\\\[/tex]

The x and y values flip in sign from positive to negative, or vice versa.

A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.

Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.

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

Part B

When we apply an x-axis reflection, we apply this rule

[tex](x,y) \to (x,-y)\\\\[/tex]

This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.

For example, the point P(1,-1) moves to P ' (1, 1)

The same applies to points Q and R as shown in the second diagram.

Answer:

0.5 < x < 3

or (0.5, 3)

Step-by-step explanation:

-16t² + 56t + 2 = 26

Subtract both sides by 26

-16t² + 56t + 2 = 26

                 -26   -26

-16t² + 56t - 24 = 0

Divide both sides by -8 to simplify

(-16t² + 56t - 24)/8 = 0/8

2t² - 7t + 3 = 0

Factor

(x - 3)(2x - 1) = 0

Do this to find the x's

x - 3 = 0

 + 3  +3

x = 3

2x - 1 = 0

    + 1  + 1

2x = 1

2x/2 = 1/2

x = 0.5

0.5 < x < 3

This means the intervals will have to be between 0.5 and 3 seconds

Answer:

The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.

Answer:

Yes. 0.6 is a rational number.

Answer:

5+12+5×2

5+12+10

27

According to BODMAS Rule the ans is 27

Answer:

27

Step-by-step explanation:

25÷5+ 12+5×2

=5+12+5x2

=5+12+10

=17+10

=27

Hope this helps! Thanks.

Answer:

yes

Step-by-step explanation:

Answer:

9 used books

Step-by-step explanation:

there are 9 used books

solution:11-3=9

so therefore the answer is 9

9514 1404 393

Answer:

  g(x) = 1/2

Step-by-step explanation:

The applicable relations are ...

  [tex]\log_b(x)=a\ \Longleftrightarrow\ b^a=x\\\\\log_b(x^a)=a\cdot\log_b(x)\\\\\log_b(b)=1[/tex]

__

We want to find logb(x) for x = b^(1/2). Using the first relation, we see ...

  g(x) = logb(x)

  b^(g(x)) = b^(1/2) . . . . . using g(x) = a

  g(x) = 1/2 . . . . . equating exponents

__

Alternatively, using the last two relations, we have x = b^(1/2), so ...

  g(b^(1/2)) = logb(b^(1/2)) = (1/2)logb(b) = (1/2)(1)

  g(x) = 1/2

_____

Additional comment

I find it useful to remember that a logarithm is an exponent. The first applicable relation shown above is a statement to that effect.

Answer:

(1, -1/2)

Step-by-step explanation:

Find the midpoint by finding the averages of the x coordinates and y coordinates:

(-5 + 7) / 2

2 / 2 = 1 (x coordinate)

(4 - 5) / 2

-1 / 2 = -1/2 (y coordinate)

So, the midpoint is (1, -1/2)

Answer:

x=-5

Step-by-step explanation:

First create a ratio -18/3 = 30/x

Cross multiply -18x=90

90/-18=-5

x=-5

Answer:

21

Step-by-step explanation:

Answer:

Assuming you just want it simplifies, the answer would be m+5

Step-by-step explanation:

4m+5-3m -------> combining like factors

m+5

Answer:

[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]

I hope I helped you^_^

Answer:

-38

Step-by-step explanation:

A good trick is to add it normally and just apply the sign

Answer:

x=y

Step-by-step explanation:

There is exactly one value of x for a value of the function by the one-to-one property.

Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

Answer:

BODMAS

the answer is 3,729,000

Have a good day !

300000000000000000000000

Answer:

first piece: 2in

second piece: 8in

third piece: 10in

Step-by-step explanation:

We have

first piece + second piece + third piece = 20

second piece = 4 * first piece = 4x

third piece = 5 * first piece = 5x

x + second piece + third piece = 20

plug 4x in for the second piece, 5x in for the third

x + 4x + 5x = 20

combine like terms

10x = 20

divide both sides by 10 to isolate x

x = 2

second piece = 4x = 8

third piece = 5x = 10

Answer:

qualitative

Step-by-step explanation:

Breed of dog does not involve numbers: it's qualitative since dogs can have categories like "poodle" or "dachshund."

Answer:

9 and 18

Step-by-step explanation:

Let the integers be a and 2a (since one is twice the other).

The reciprocals are 1/a and 1/(2a) respectively.

Difference means tk subtract.

So we have 1/a-1/(2a)=1/18

Multiply both sides by 18:.

18a/a-18a/(2a)=18a/18

Simplify:

18-9=a

Simplify:

9=a

If a=9, then 2a=18

The integers are 9 and 18.

Test:

1/9-1/18

2/18-1/18

1/18

Golden!

Answer:

5/12

Step-by-step explanation:

tan=opposite/adjacent

tan30=5/12

Answer:

Tanθ = opposite/adjacent

[tex] \tan(30) = \frac{5}{12} [/tex]

I hope I helped you^_^

Answer:

731 and 164 rounded off to the nearest tens is 730 and 160.

the difference is 570

570. rounded off to the nearest hundred is 600

Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].

This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.

Hope this helps :)