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Licemer1 [7]
3 years ago
5

Find the distance between the points (7, -4) and (7,5).

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

9

Step-by-step explanation:

find absolute value

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Solve for x: (2/5)(x-4)=2x​
NARA [144]

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

<u>x = -1</u>

8 0
3 years ago
Find the point of diminishing returns (x comma y )for the function​ R(x), where​ R(x) represents revenue​ (in thousands of​ doll
riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  R(x) =  10,000 -x^3 - 33x^2 + 800x ,  \ \ 0 \le x \le 20

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               R'(x) =  -3x^2 +66x + 800

Finding the second derivative of R(x)

              R''(x) =  -6x +66

at  inflection point    R''(x) =  0

    So      -6x  +66  = 0

=>           x=  11

    substituting value of x into R(x)

     R(x) =  10,000 -(11)^3 - 33(11)^2 + 800(11) ,

      R(x) = 21462

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

4 0
3 years ago
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
marusya05 [52]

Answer:

nth term = t_{n} = 7.639(1.2)^{n - 1}

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = t_{3} = ar^{2} = 11 .......... (1) and  

20th term = t_{20} = ar^{19} = 244.2 ........... (2)

Now, dividing equation (2) with equation (1) we get

\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2

⇒ r^{17} = 22.2

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = t_{n} = 7.639(1.2)^{n - 1} (Answer)

5 0
3 years ago
37.5% written as a decimal and as a fraction in simplest form
Angelina_Jolie [31]

p\%=\dfrac{p}{100}\\\\37.5\%=\dfrac{37.5}{100}=\dfrac{37.5\cdot10}{100\cdot10}=\dfrac{375}{1000}\\\\\dfrac{375}{1000}=\dfrac{375:125}{1000:125}=\dfrac{3}{8}\\\\\dfrac{375}{1000}=0.375\\\\Answer:\ \boxed{37.5\%=\dfrac{3}{8}=0.375}

7 0
3 years ago
Read 2 more answers
an item regular price of $40 . Kira bought it on sale for 65% off the regular price. How much did he Kira pay?​
inna [77]
The answer is $14 because 65% of $40 is 26 and 40-26=14
8 0
3 years ago
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