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valkas [14]
3 years ago
11

what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

\frac{11-x}{8-x}=\frac{2}{1}

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

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Find f’(x).<br><br> 1. f(x)=x^2-5x+1<br><br> 2. f(x)=10/x
kompoz [17]

Answer:

1) 2x-5                 2)  -10/x^2

Step-by-step explanation:

Use power rule and constant rule for the first one:

1) f(x)=x^2-5x^1+1                                (x^n)'=nx^(n-1) and (c)'=0

f'(x)=2x^1-5(1)x^0+0                        

f'(x)=2x-5(1)                                        x^0=1

f'(x)=2x-5

Use just power rule for last one after a rewrite

2) f(x)=10/x

f(x)=10x^(-1) now use power rule

f'(x)=-10x^(-2) =-10/x^2

6 0
3 years ago
Find the fifth term of the sequence if a15=29 and a21=47
schepotkina [342]

We have a15 = a1 + 14 x r and a21 = a1 + 20 x r <=> 29 = a1 + 14 x r and 47 = a1 + 20 x r;

Then, 47 - 29 = (20 x r + a1) - (14 x r + a1);

18 = 6 x r;

r = 3;

We have 29 = a1 + 42;

a1 = 29 - 42;

a1 = - 13;

Finally, a5 = a1 + 4 x r = -13 + 4 x 3 = -13 + 12 = -1.

6 0
4 years ago
First, use the "completing the square" process to write this equation in the form (x + D)² = E. x² - 8 x + 12 = 0 is equivalent
Leni [432]

Answer:

D = -4

E = 2

Step-by-step explanation:

The procedure for completing the square method is given as:

x2 + bx + c = 0

x2 + bx = -c

x2 + bx + (b/2)2 = -c + (b/2)2

Aolving the LHS simultaneously,

(x + b)2 = -c + (b/2)2

Find the square root of both sides,

(x + b) = sqrt(-c + (b/2)2)

So for the equation, x2 - 8x + 12

x2 - 8x = -12

x2 - 8x + 16 = -12 + 16

(x - 4)2 = 4

So square root both sides,

(x - 4) = 2

Comparing this to the equation given,

(x - D) = E;

D = -4

E = 2

6 0
3 years ago
81 millimeters is how many fluid ounces
alexira [117]
81 millimeters = 0.00273894 Fluid Ounces

Hope  this helps you!

5 0
4 years ago
a new type of pump can drain a certain pool in 6 hours. an older pump can drain the pool in 9 hours. how long will it take both
Art [367]

Answer:

if im correct 4.5 hours

Step-by-step explanation:

5 0
4 years ago
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