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lord [1]
4 years ago
10

Complete the equation so its has one solution of x=2 4(5x-4)=4x+_____

Mathematics
1 answer:
Sonja [21]4 years ago
6 0
4(5x-4)=4x+52 is valid
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elena-14-01-66 [18.8K]
Find the area of the square first using A=bh then find the semicircle's using A=pi (r) ^2. After finding both, add them. The sum of both will be the total area.
7 0
4 years ago
The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t
barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level.  The derivative <em>R'</em> of the function <em>R</em> measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

R'(x) = -0.1x+40

(a) To find the the daily total revenue you must:

  • Integrate the daily marginal revenue function,

\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C,

where C is a constant.

  • Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

0=-0.05(0)^2+40(0)+C\\C=0

R(x)=-0.05x^2+40x

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

  • Find the daily total revenue realized from the sale of 310 units

R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

R(310)-R(210)=7595-6195=1400

3 0
4 years ago
Find the distance of the line segment joining the two points
Ratling [72]

Answer:

D or 4 square root 3

Step-by-step explanation:

using distance formula -12 square rooted - 2 square root 3 = -4squareroot3. So, after that you would square giving 48 then square root giving 4 square root 3. (-4 square root 2 and -32 square rooted cancel out giving 0)

3 0
3 years ago
A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at ran
aleksandrvk [35]

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

5 0
3 years ago
suppose your high school basketball team scored 5 runs in saturdays game. this was four more than 1/2 the runs scored by the opp
nalin [4]

Answer:

x = 2

Step-by-step explanation:

Given that:

Your score = 5

We have to find scores of opposite team let it be x

According to given conditions:

Opponents score: (1/2)x+ 4 = 5

By simplifying:

subtract 4 from both sides:

(1/2)x + 4 -4 = 5-4

(1/2)x = 1

Multiply both sides by 2 we get

2*(1/2)x = 1*2

x = 2

Proof:

(1/2)x+ 4 = 5

Put x= 2

(1/2)*2 +4 =5

1 +4 =5

5=5

Hence proved

I hope it will help you!

6 0
4 years ago
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