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2 years ago

The graph below shows the distance, y, in feet, of a mouse from its hole, for a certain amount of time, x, in minutes:

2 answers:

6 0

We have that the initial value of the function is the value at x=0; this is equal to 9. It shows the initial distance from the hole, when no time has passed (x=0). This is so because y has the units of distance. THe slope of the line is the quantity that shows the rate of change, namely how much a change in x is converted to a change in y. This is so because the slope has the units of y/x, namely distance over time (so it shows speed). Correct is b.

serious [3.7K]2 years ago

4 0

The correct answer is;
 9 feet because it represents the original distance of the mouse from its hole

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Which equation can be used to find the number of fish in the pond on June 1?

olga_2 [115]

Answer: The required equation is $f-52=63$ and the number of fishes in the pond on June 1 = 115

Step-by-step explanation:

Given: The number of fishes in pond on July 1 = 63

Also, it is said that the number of fishes in pond on July 1 is 52 fewer(lesser) than the number of fishes in pond on June 1.

Let f be the number of fishes in pounds on June 1.

then the required equation will be

$f-52=63$

Now, add 52 on both the sides of the equation, we get

$f=63+52\\\Rightarrow\ f=115$

3 0

3 years ago

Use the equation below to find v, if u = 18, a=6, and t =4. V=u+at

Anastaziya [24]

Answer:42

Step-by-step explanation:

V= 18 + 6(4)

V= 18 + 24

V= 42

7 0

2 years ago

Read 2 more answers

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost

zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots and 3 pounds of potatoes will cost her

$ $(2\times x + 3\times y)$

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ $(4\times x + 4\times y)$

According to the question,

$(2\times x + 3\times y) = 8$ -----(1)

$(4\times x + 4\times y) = 13$ -----(2)

multiplying (1) by 2 we get,

$(4\times x + 6\times y) = 16$ -----(3)

Deducting (2) from (3) we get,

$2\times y = 3$

⇒ $y = \frac{3}{2} = 1.5$ ------------------(4)

Putting value of y in (1) we get,

$(2\times x = 8 - 3\times 1.5) = 3.5$

⇒ $x =\frac{3.5}{2} = 1.75$ ------------(5)

8 0

3 years ago

The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round you

olga nikolaevna [1]

A² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
a = 6.7

3 0

3 years ago

What are the methods of substitution?

anyanavicka [17]

Answer:

-One Equation: is set equal to a variable

Example:

y = 2x + 1

x + 3y = -12

You already have y, plug it back into x + 3y = -12

x + 3(2x + 1) = -12

x + 6x + 3 = -12

7x + 3 = -12

(Subtract 3 from each side)

7x = -15

(Divide by 7)

x = - 2.14

-No Equation: is set equal to a variable

Example:

2x + y = 10

4× + 2y = -3

Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.

4x + 2(-2x + 10) = -3

4x + -4x + 20 = -3

(Subtract 20 from each side)

4x + -4x = -23

(Add 4x and -4x)

0 = -23

No Solution

-Both Equations: are set equal to a variable

Example:

y = x + 5

y = -x + 3

(you already have y so plug it into the other equation to solve for x)

-x + 3 = x + 5

(Add -x on both sides)

3 = 2x + 5

(subtract 5 from both sides)

-2 = 2x

(Divide by 2 on each side)

x = -1

I hope this helped!

8 0

2 years ago