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LenaWriter [7]
2 years ago
4

Determine the equation for the line of best fit to represent the data.

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0

Answer: B

Step-by-step explanation:

Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )

Let's first find the slope M

M = (0 - 4)/( 7 - 0)

M = - 4/7

Since the line of best fit is linear, let adopt general equation of straight line

Y = MX + C

As the line passes through ( 0 , 4 )

Substitutes for Y and X

4 = - 4/7 (0) + C

C = 4

Where C = intercept

The equation for the line of best fit to represent the data will be:

Y = - 4/7 X + 4

Y equals negative two thirds times x plus 4

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A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation
Charra [1.4K]

Answer:

96

Step-by-step explanation:

The maximum height reached by the pebble modeled by the quadratic function,

h(t)=-16t^2+32t+80, can be found by finding the vertex.

Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.

When comparing h to at^2+bt+c, we see that:

a=-16

b=32

c=80

We need to evaluate the following to find the t-coordinate of the vertex:

t=\frac{-b}{2a}

t=\frac{-32}{2(-16)}

t=\frac{-32}{-32}

t=1

So now to find the correspond h(t)-coordinate, we will need to replace t in -16t^2+32t+80 with 1:

-16(1)^2+32(1)+80

-16(1)+32+80

-16+32+80

16+80

96

5 0
2 years ago
%84, percent of Astrid's books are fiction. What fraction of Astrid's books are fiction?
kherson [118]

Answer:

the fraction would be

84/100

7 0
2 years ago
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As a sales analyst for the shoe retailer Foot Locker, one of your responsibilities is measuring store productivity and then repo
yKpoI14uk [10]

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the answer is going to be $350

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7 0
1 year ago
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
bazaltina [42]
Answer:
The number is 6.25

Explanation:
Assume that the number we are looking for is x

First, we will set up the equations as follows:
1- Subtract 1.05 from the number (assume the result is y):
x - 1.05 = y

2- Multiply the difference by 0.8 (assume the product is z):
0.8(y) = z

3- add 2.84 to the product (assume the result is w):
z + 2.84 = w

4- divide the sum by 0.01, the quotient is 700:
w / 0.01 = 700

Now, we will work backwards as follows:
4) w / 0.01 = 700
    w = 0.01 * 700
    w = 7

3) z + 2.84 = w
    z + 2.84 = 7
    z = 7 - 2.84
    z = 4.16

2) 0.8y = z
    0.8y = 4.16
    y = 4.16 / 0.8
    y = 5.2

1) x - 1.05 = y
    x - 1.05 = 5.2
    x = 5.2 + 1.05
    x = 6.25

Hope this helps :)
8 0
2 years ago
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posledela
The answer is four because if you lose two from the four you had you will still have a least 2 hope This helped
5 0
2 years ago
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