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Romashka-Z-Leto [24]
3 years ago
5

The sum of two numbers is 12. The first number,x, is twice the second number ,y,

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0
Judging by the question at hand I generated this equation.
x+y=12
x=2y

I begin this question by plugging in the x=2y into the equation for x. 
So the new equation should be 3y=12. I then divide the entire equation by 3 to get y=4.

Next I plug y=4 into the equation, the new equation should be x+4=12. I then subtract 4 from both sides to get x=8.

The two numbers are :
x=8 y=4
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If you apply the changes below to the linear parent function, F(x) = x, what is the equation of the new function?
aliina [53]

Answer:

A


Step-by-step explanation:


7 0
3 years ago
Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.
BabaBlast [244]

Answer:

Choice D is correct

Step-by-step explanation:

The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.

Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.

Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;

k = 1*4 = 4

This polar equation is given by alternative D

6 0
3 years ago
If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
Helppp i really need help will give brainliest
dolphi86 [110]

Answer:

the answers are 13, ab/2, 20 and 15x²/2

7 0
2 years ago
Read 2 more answers
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over
solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0
3 years ago
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