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Y_Kistochka [10]
3 years ago
10

Given the following perfect square trinomial, fill in the missing term. x2 − 16x + ____

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

x^{2}-16x+64

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following perfect square trinomial given in the problem:

x^{2}-16+

2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:

(\frac{-16}{2})^{2}=(-8)^{2}=64

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Solve 2.02W = -3.636
ValentinkaMS [17]

Answer: W=-1.8

Step-by-step explanation:

Divide both sides by 2.02 and you are left with W=-1.8.

Hope this helps!

7 0
2 years ago
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Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
Solve for x. Show your work.
creativ13 [48]

Answer:

Step-by-step explanation:

total degrees of a line is 180

4x+20+60=180

4x=100

X=25

8 0
3 years ago
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The table represents some points on the graph of a linear function.
Sunny_sXe [5.5K]

Answer:

B. -\frac{9}{2}

Step-by-step explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

Rate of change = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(-2, 12) = (x_1, y_1)

(0, 3) = (x_2, y_2)

Plug in the values

Rate of change = \frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}

7 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this exp
Rudiy27

Answer:

31 feet.

Step-by-step explanation:

It is mentioned in the question that

Height of baseball expressed in feet

T = time in seconds

Also

h=  -16t^2+64t+3

Now the time is 3.5 so put this value to the above equation

h = -16(3.5)^2 + 64(3.5) + 3

= -16(2.25) + 224 + 3

= -196 + 227

= 31

Therefore the height of a baseball is 31 feet and the same is to be considered

7 0
3 years ago
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