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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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I need help with math algebra homework
lesya [120]

Answer:

1. Slope: -3/4

2. Point-slope: y+4=-3/4(x+4)

3. Slope-intercept: y=-3/4x-7

4. Standard form: 3x+4y=-28

Step-by-step explanation:

1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.

Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.

2--4/-4-4

2+4/-8 = 6/-8, or 3/-4

2. Use the slope and one of the x and  y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).

y+4=-3/4(x+4)

3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.

When you distribute, the equation becomes:

y+4=-3/4x-3

Finally, when you subtract 4, the equation becomes:

y=-3/4x-7

4. Standard form is written as x+y= #.

To convert y=mx+b to standard form, first subtract -3/4x from both sides.

-3/4x + y = -7

Multiply everything by 4

3x + 4y = -28

3 0
3 years ago
The product of two consecutive odd integers is 1 less than four times their some. find the two integers.
nignag [31]
2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.

x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0

x - 7 = 0            x + 2 = 7 + 2 = 9
x = 7
 
x + 1 = 0           x + 2 = -1 + 2 = 1
x = -1

there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
7 0
3 years ago
Samantha has a rectangular shaped fish tank in her room. The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9
andrezito [222]

Answer: the BEST approximation of the amount of water her fish tank can hold is 21ft^3

Step-by-step explanation:

The shape of Samantha's fish tank is rectangular. The volume of the rectangular fish tank would be expressed as LWH

Where

L represents length of the tank

W represents the width of the tank.

H represents the height of the tank.

The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9 ft.

This means that the volume of the fish tank would be

Volume = 2.6 × 2.1 × 3.9

= 21.294 ft^3

7 0
3 years ago
How should I tell my crush I like her? She's my friend and I asked her if she liked me yesterday and she said no but I think she
Helen [10]

Answer:

U just have to make her feel comfortable to trust u that she can tell u that she actually likes u....dont push anything just make her feel appreciated ok?

Step-by-step explanation:

that's all

4 0
3 years ago
What else would need to be congruent to show that ABC DEF by AAS?
marishachu [46]
Answer choice A so angle A is equivalent to angle D
3 0
3 years ago
Read 2 more answers
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