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GarryVolchara [31]
4 years ago
12

Which description best describes the solution to the following system of equations?

Mathematics
1 answer:
forsale [732]4 years ago
7 0
Line y = -2x + 8 intersects the line y = -x + 5
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Find the equation of the parable in general form by completing the square. Then, state its vertex
lora16 [44]
The parabola will show the vertex in the format: y-k = (x-h)^2, where the vertex point
lies at (h, k).
so \: for \:  {x}^{2}  + 2x - y + 3 = 0
let's first put it in "y =" standard format:
y =  {x}^{2}  + 2x + 3
Since we cannot get a perfect square out of this, we complete the square: a=1, b=2, c=3
(b/2)^2 = (2/2)^2 = 1, so
y =  {(x +1)}^{2} ...\: is \: y =  {x}^{2}  + 2x + 1
So there's +2 leftover, since 3-1=2; so:
y =  {(x + 1)}^{2}  + 2
Now we'll subtract the 2 from both sides to show our vertex:
y - 2 =  {(x + 1)}^{2}
where our vertex (h, k) is at (-1, 2)
6 0
4 years ago
A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?
Arlecino [84]
For this case we have the following domain:
 {1, 3, 5, 7}
 We have the following range:
 {2, 4, 6}
 A value of the range belongs to each value of the domain.
 Therefore, the ordered pairs are:
 (1, 2)
 (3. 4)
 (5, 6)
 Answer:
 
A. {(1, 2), (3, 4), (5, 6), (7, 2)}
8 0
3 years ago
Is this correct?Check image
Zinaida [17]
Yes it is correct!:)
3 0
3 years ago
Read 2 more answers
10x + y=-4<br> Find the slope intercept form of the equation
Anit [1.1K]

Y=10x-4

Slope: 10

Y intercept: -4

8 0
3 years ago
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
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