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Dmitry_Shevchenko [17]
3 years ago
10

Help Me for number 2

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0
He forgot to multiply 8*2
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Y=x​2​​−6x+10​<br> y=4−x​​<br><br><br> How do I substitute?
Shtirlitz [24]

Answer:

(2,2) and (3,1)

Step-by-step explanation:

Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us

4-x=x^2-6x+10\\0=x^2-5x+6

We can factor the expression on the right to get us

0=x^2-5x+6\\0=x^2-3x-2x+6\\0=x(x-3)-2(x-3)\\0=(x-2)(x-3)

Solving x-2=0 and x-3=0 gets us the solutions x=2,3, which we can plug into the second equation to get us

y=4-2=2\\y=4-3=1

So, our solution set is the pair of points (2,2) and (3,1)

7 0
3 years ago
Which of the following is equivalent to 7-2(x+2) &lt; 4-3(1 - x)?
iren [92.7K]

Answer:

-x<-16

Step-by-step explanation:

4-3(1-x)

x=-1

7-2(x+2)

x=2

5 0
3 years ago
What is the center of a circle circumscribed about a triangle with vertices (−2, 2) ( 2, −2)and (6, 2)? A. (2, 2) B. (2, 0) C. (
grigory [225]
C. (0,2) if you plot these points correctly on a graph, the center is at 0,2. hope this helped.
6 0
3 years ago
What is the factorization??
aivan3 [116]

We first find the zeros of the function , the zeros of the function are those at which points the graph of the function crosses or touches the x axis

here we can see in the graph that graph crosses the x axis at two points , 1 and 7

So the zeros of the function are

x=1 and x=7

It means the factor are

(x-1) and (x-7)

So the factorization is given by

(x-1)(x-7)

7 0
3 years ago
What are the x-intercept of sin(x)?
boyakko [2]
The x-intercept of a function is the value of x when y is 0. So let's set sin(x) equal to zero. When does sin(x) equal zero? Based on the unit circle, you know that sin(0) is 0, so that is one x-intercept. You also know that sin(pi) is 0. Basically, every time x, starting from zero, increases or decreases by a multiple of pi, sin(x) is still zero. The answer can be represented by x=n*pi; where n=any integer.
5 0
3 years ago
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