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?

Answer:

B. you need atleast one variable for an algebraic expression.

an equals sign would make it an algebraic equation,

just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.

Step-by-step explanation:

i hope this helps :))

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"

Given

[tex]Rate = \frac{1}{4}ft/hr[/tex]

[tex]Depth = 279ft[/tex]

First, we calculate the depth receded.

If the rate is 1/4ft per hour

Then

The Depth receded in 2 hours is:

[tex]Receded = \frac{1}{4} * 2[/tex]

[tex]Receded = \frac{2}{4}[/tex]

[tex]Receded = 0.5ft[/tex]

The new depth is then calculated as:

[tex]New\ Depth = 279ft - 0.5ft[/tex]

[tex]New\ Depth = 278.5ft[/tex]

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

Step-by-step explanation:

Since triangles ABC and DEF are congruent,

Angle D = Angle A.

=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.

Also side EF = side BC.

=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.

Answer: Y = 35, X = 27.8

Step-by-step explanation:

First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60,  f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [27 - 8] / [60-7]  

                     = 19 / 53

                     = 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Answer:

That would be B. (2,-5)

Step-by-step explanation:

If it's reflected across the Y axis then only the second number will change

But it depends on what the number is

Answer:

do you have more info so I can help

Answer:

x=12

Step-by-step explanation:

Answer:

24m

Step-by-step explanation:

you can use khan academy to help you out on this kind of stuff

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Answer:

//

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

Answer:

Answer choice A (<A,<B,<C)

Step-by-step explanation:

I have attached a rough drawing of this type of triangle (not to scale)

The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.

This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.

Hope this helps :-)

Answer:

X=4

Step-by-step explanation:

4(x+12) = 19x-12

4x+48= 19x-12

sub 4x from both sides

48= 15x-12

add 12 to both sides

60=15x

divide 15 from both sides

and 60/15 =4

Answer:

[tex]4(x + 12) = 19x - 12 \\ 4x + 48 = 19x - 12 \\ 4x - 19x = - 12 - 48 \\ - 15x = - 60 \\ x = \frac{60}{15} \\ x = 4[/tex]

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Answer:

y - 4 = -3(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h):

y - 4 = -3(x + 1)

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

Answer:

1. 24+5*14/2=

step 1. 24+5=29

step 2: 14/2=7

step 3: 29*7=59!

2. 200/4*6=

step 1: 4*6= 24

step 2: 25/200= 300!

Step-by-step explanation:

hope this helps did step by step explanation! brainliest?

1. 24+(5×14)÷2

=24+70÷2

=24+35

=59

2. 200÷4×6

=50×6

=300

Answer:

3920

Step-by-step explanation:

(9+11)(14•14)

(20)(196)

20 x 196

3920

Answer:

3920

Step-by-step explanation:

According to the question ,

x = 14 ; y = 9 ; z = 2

So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]

[tex] = > (9 + 11)( {14}^{2} )[/tex]

[tex] = > 20 \times 196 = 3920[/tex]

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

Answer:

x + y = 64

x = 10 + y

Yo-yo = 27

Xylophone = 37

Step-by-step explanation:

Let :

Xylophone club = x

Yo - Yo club = y

Total members = 64

Xylophone club has 10 more members than yoyo

Hence,

x + y = 64 - - (1)

x = 10 + y - - (2)

Put x = 10 + y in (1)

10 + y + y = 64

10 + 2y = 64

2y = 64 - 10

2y = 54

y = 54 / 2

y = 27

From (1)

x + 27 = 64

x = 64 - 27

x = 37