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Aliun [14]
3 years ago
5

Identify the zeros of each function. y=(x-7)^2

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

9514 1404 393

Answer:

  x = 7 (multiplicity 2)

Step-by-step explanation:

When the function is written in factored form, the zeros are the values of the variable that make the factors zero.

  y = (x -7)(x -7)

The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.

__

On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).

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Find the coordinates of the points of intersection of the graphs with coordinate axes: y=− 1/4 x+2
bearhunter [10]

Answer:


Step-by-step explanation:

Here, you can use a simple formula.

To find the point of intersection you just put x=0 or y=0.

Because, if a graph intersects x-axis, then at this point  y=0

Similarly, if a graph intersects y-axis, then at this point  x=0


So, for our given line.

y=-1/4 x +2

when , x=0 , y=-1/4 (0)+2=2

So, the graph intersects y-axis at   y=2


when , y=0 ,

then    0=-1/4 x+2

       or, 1/4 x=2

       or, x=8    [multiplying by  4]

So, the graph intersects x-axis at   x=8

3 0
3 years ago
Write the prime factorization for 65,169
posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

6+5+1+6+9=27=3\cdot 9

So, we can divide the number by 3 and keep going with the factorization:

65169\div 3 = 21723

This number is again divisible by 3, because

2+1+7+2+3 = 15 = 3\cdot 5

We have

21723\div 3 = 7241

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

7241\div 13 = 557

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

3^2\cdot 13 \cdot 557

8 0
3 years ago
Julie is drawing a map of the town. She knows that City Hall is 3 miles
Ainat [17]
1.5 inches should be right
8 0
3 years ago
Solve each of the following system of equations by substitution!!!<br><br> x-5y=-49<br> y=-2x+1
saul85 [17]

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

8 0
3 years ago
Helen rented a kayak at the lake. There is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the
Helga [31]
Helen kayaked for 5 hours.
Hope this helps!!
6 0
3 years ago
Read 2 more answers
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