A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.

While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

Answer:

y = -2x + 8

Step-by-step explanation:

In this question, you have to solve for "y".

Solve:

2y + 4x = 16

Get "y" by itself by subtracting 4x from both sides.

2y = -4x + 16

Simplify by dividing both sides by 2.

y = -2x + 8

Answer:

this i what i got..........

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Answer:

The other person is correct

Step-by-step explanation:

i got a 100

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

Answer:

41.4 im pretty sure

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

all you need to do is divide the coordinates of the x intercept and y intercept  by two

Answer:

9

Step-by-step explanation:

done in other question of yours

Answer:

i think its 63

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2

Answer:

$5.00

Step-by-step explanation:

All we have to do is multiply 25 x 1/5 or 20%

25 x 1/5 = $5.00

to check, $5 x 5 = 25

Answer:

x= 7.41 (3 s.f.)

y= 9.53 (3 s.f.)

∠B= 51°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

The triangle on the right is bigger than the triangle on the left.

I am joyous to assist you at any time.

Answer:

c = 20

Step-by-step explanation:

Given that,

A rectangle PQRS,

QT = c and ST = 4c-60

We need to find the value of c.

We know that the diagonals of a rectangle bisect each other such that,

QT = ST

Putting values,

c = 4c - 60

Taking like terms together,

60 = 4c - c

60 = 3c

c = 20

Hence, the value of c is 20.

Answer:

Answer is true.

Hope this helps.

Answer:

5 35/36

Step-by-step explanation:

add the whole number: 3+2= 5

add the fractions: 5/12 = 5/9= 35/36

add the whole number and fraction

5 35/36 so x= 5 35/36

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.

An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.

Learn more about arithmetic here:
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Answer: C

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Count by 6

Answer:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

                                               Function f(x)

Given the function f(x)

x            f(x)

-3          -0.5

-2           0

-1            0.5

0             1

Finding the slope between any two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]

[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]

[tex]m=0.5[/tex]

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

                                             Function g(x)

Taking two points from the given graph of g(x)

Finding the slope between (1, 0) and (0, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]

[tex]m=\frac{2-0}{0-1}[/tex]

Refine

[tex]m=-2[/tex]

Thus,

The slope of g(x)  = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

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Answer:

Z=25

Step-by-step explanation:

Angle C and D are Supplementary so

3z-15+7z-55=180

10z-70=180

10z=250

z=25

Answer:

50

Step-by-step explanation:

400/8 =50