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vesna_86 [32]
3 years ago
13

Solve the system by substitution. y=x2 – 2x+1 y= 2x+1

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

(0 , 1), (4, 9).

Step-by-step explanation:

y = x2 – 2x+1

y = 2x+1

Substitute y = 2x + 1 into the first equation.

2x + 1 = x^2 - 2x + 1

x^2 - 2x - 2x  = 0

x^2 - 4x = 0

x(x - 4) = 0

x  = 0, 4.

When  x = 0, y = 1.

When x = 4, y = 8 + 1 = 9.

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Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each
SSSSS [86.1K]

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

3 0
3 years ago
What is the factored form of x2 - 10x + 24
umka2103 [35]

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What 2 numbers multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

4 0
3 years ago
What is the math for 4×(5+2) ?​
Rzqust [24]

Answer:

28

Step-by-step explanation:

since the 5+2 is in parenthesis(don't know how to spell it its these things >( ) if you didn't know) you have to do 5+2 1st so thats 7 then you do 4*7 which is 28

8 0
3 years ago
Jimmy went to buy apples at the supermarket. Which is the better buy? $5.00 for 4 apples
Anna71 [15]

Answer:

$6.00 for 5 apples

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$5.00/4= $1.25 per apple

$6.00/5= $1.20 per apple

5¢ cheaper

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3 years ago
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