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Lemur [1.5K]
3 years ago
14

a shark is 80 feet below the surface of the water. it swims up and jumps out of the water to a height of 15 feet above the surfa

ce. find vertical distance the shark travels
Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

75

Step-by-step explanation:

80+15 is 75

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X y
Darina [25.2K]

Answer:

Part 1) The rate of change is \frac{17}{15}

Part 2) The initial value is 68

Part 3) The function rule to the linear model is y=\frac{17}{15}x+68

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{85-68}{15-0}

m=\frac{17}{15}

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is \frac{17}{15}

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

b=68

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

y=mx+b

we have

m=\frac{17}{15}

b=68

substitute

y=\frac{17}{15}x+68

8 0
3 years ago
A bag contains 4 yellow tiles and 2 green tiles . A tile will be taken from the bag at random and set aside. A second tile will
natta225 [31]

There is a 40 percent chance because there are more yellow tiles than green

5 0
3 years ago
Read 2 more answers
Please hellllpppp really appreciated
antiseptic1488 [7]
2/5 divides by 4/1 = 1/10
X=1/10
5 0
3 years ago
Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)
Vsevolod [243]

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

8 0
3 years ago
It takes 30 tomatillos to make 8 ounces of
Vladimir79 [104]

Answer: 45 tomatillos

Step-by-step explanation: 30 tomatillos divided by 8 ounces is 3.75 tomatillos per ounce. So, multiply 3.75 by 12 ounces. What do we get? 45 tomatillos!

3 0
3 years ago
Read 2 more answers
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