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vredina [299]
3 years ago
9

Reflection across y=x​

Mathematics
1 answer:
alexdok [17]3 years ago
5 0
C= (-2,3) B=(-3,0) D=(-3,4) would be the reflection across the axis
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In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues,
REY [17]

Answer:

288750006

Step-by-step explanation:

<u>Growth rate:</u>

  • 1.12% or 1.0112 times

<u>Current population:</u>

  • 258,316,051

<u>Predicted population after 10 years:</u>

  • 258,316,051*(1.0112)^10 = 288,750,006.168≈ 288,750,006 rounded
4 0
3 years ago
Read 2 more answers
Please please answer
gizmo_the_mogwai [7]

Answer:

-5

Step-by-step explanation:

(f\circ g)(-1)=f(g(-1))=f(1-3)=f(-2)=-4-1=-5

7 0
3 years ago
Solve the equation y=2x^2-x-6 using the quadratic formula show the steps to solving
saul85 [17]

Answer:

x1 = 2 \\ x2 =  -  \frac{3}{2}

Step-by-step explanation:

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{1 +  -  \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)}  \\ x =  \frac{1 +  -  \sqrt{1  + 48} }{4}  \\ x =  \frac{1 +  -  \sqrt{49} }{4}  \\ x =  \frac{1 +  - 7}{4}  \\  \\ x1 =  \frac{1  + 7}{4}  =  \frac{8}{4}  = 2 \\ x2 =  \frac{1 - 7}{4}  =   - \frac{6 }{4}  =  -  \frac{3}{2}

7 0
3 years ago
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the
yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed.  There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

                        Food   Clothes  Housing  Energy  High Quality 100

                                                                                Proof  Moonshine

Farmer             0.25      0.15       0.25        0.18            0.20                    

Tailor                0.15      0.28       0.18         0.17            0.05

Carpenter        0.22      0.19       0.22        0.22           0.10

Coal Miner       0.20      0.15       0.20        0.28           0.15

Slacker Bob     0.18      0.23        0.15        0.15            0.50

Total                 1.00      1.00        1.00         1.00            1.00

6 0
3 years ago
Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma
Grace [21]

Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
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