The height in feet, h, of a model rocket t seconds after launch is given by the equation h (t) = 3 + 70 t minus 16 t squared. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

Answer:

(-9,5)

Step-by-step explanation:

the midpoint occurs 5 units to the right of the endpoint. using this we can deduce that the other endpoint should also be 5 units right to the midpoint

Answer:

alright

Step-by-step explanation:

the first question X=77

and the second is B

the other answer was correct before mine give them brainliest

Answer:

77 degrees, B

Step-by-step explanation:

the size of angle x is also 77 degrees like angle ABF because of the alternate angles theorem which states that alternate angles have the same degree measure.

Answer:

$0.49 hope this helps you out

Answer:

L = 37 yards and B = 76 yards

L = 38 yards and B = 76 yards

Step-by-step explanation:

Given:

Total length of the fence(perimeter) = 150 yards

One side is fenced using the back side of the house

So, we have

Perimeter of the fence = 2L + W

150 = 2L + W (1)

The fenced-in portion = 2,812 square yards

Area of a rectangle = L × W

2812 = L × W (2)

From (1)

150 = 2L + W

W = 150 - 2L

Substitute W = 150 - 2L into (2)

2,812 = L × W (2)

2,812 = L × (150 - 2L)

2,812 = 150L - 2L²

-2L² + 150L - 2812 = 0

2L² - 150L + 2812 = 0

Divide through by 2

L² - 75L + 1406 = 0

Solve the quadratic equation using factorization method

Find the factors

L² - 37L - 38L + 1406 = 0

L ( L - 37 ) - 38 ( L - 37 ) = 0

( L - 37 ) ( L -38 ) = 0

L - 37 = 0 or L - 38 = 0

L = 37 yards or L = 38 yards

If L = 37 yards

B = 150 - 2L

B = 150 - (2 × 37)

= 150 - 74

= 76 yards

If L = 38 yards

B = 150 - 2L

B = 150 - (2 × 38)

= 150 - 76

= 74 yards

Therefore,

The dimensions of the fence can either be

L = 37 yards and B = 76 yards

L = 38 yards and B = 76 yards

Answer:

x + 11

Step-by-step explanation:

out you're going from -3 to 8 and that is 11 jumps so if x is -3 then it would be  x + 11

Answer: 23.333

Step-by-step explanation:

Look at the photo for explanation and answer

Answer:

Option (A)

Step-by-step explanation:

Domain of a function is defined by the x-values (input values) on the graph.

Range of a function is defined by the y-values (output values).

For a function having equation as,

y = x

Since, the given function is defined for all real numbers.

Domain of the function: {x | x ∈ R}

Range of the function: {y | y ∈ R}

Therefore, option (A) will be the answer.

Answer:

u = 4

Step-by-step explanation:

1. Distribute the 2 into the parenthesis.

2(4u-9) = 14

x2 x2

8u - 18 = 14

2. Try to get your variable on one side.

8u - 18 = 14

+18 +18

8u = 32

3. Last is to divide so your variable is on the left side of the equation.

8u = 32

÷8. ÷8

u = 4

Answer:

D. The square root of 84

Step-by-step explanation:

the square root of 84 = 9.16515138991...

Answer:

y=2x+3

Step-by-step explanation:

_2y=-4x-12 and than divide dy -2 so it will be Y=2x+3.

Answer:

6(x) + 8 [tex]\geq[/tex] 32

x = 4, 3, 2, 1, 0

Step-by-step explanation:

This is the answer because:

1) 8 more than 6 times a number is 6 times x + 8

6(x) + 8

2) "is at least 32" means 6(x) + 8 [tex]\geq[/tex] 32

3) x = 4, 5, 6, 7, 8 and etc. because -8 from +8 and 32

6(x) = 24

4) 6(4) = 24

5) x can equal anything less than 4

Therefore, the inequality is 6(x) + 8 [tex]\geq[/tex] 32 and x = 4, 3, 2, 1, 0

Hope this helps! :D

Answer:

4(4x-3)=63

X=4.6875

Step-by-step explanation:

Answer:

3/4 and 6/5

Hope this helps!

Answer:

100 x1 + 130 x2 + 16 x3 = 4758

120 x1 + 180 x2 + 28 x3 = 6504

160 x1 + 190 x2 + 10 x3 = 6720

pt 2

x1 = 15

x2 = 21

x3 = 33

Step-by-step explanation:

From the linear system , number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.

" Linear system is defined as the model of  the given system which represents set of two or more linear equations."

According to the question,

Linear system formed as per the data given,

[tex]100x_{1} +130x_{2} +16x_{3} = 4.758[/tex]                   ____(1)

[tex]120x_{1} +180x_{2} +28x_{3}= 6.504[/tex]                   ____(2)

[tex]160x_{1} +190x_{2} +10x_{3} = 6.720[/tex]                   ____(3)

Multiply linear equation (1) by 7 and ( 2) by 4 we get,

[tex]700x_{1} +910x_{2} +112x_{3} = 33.306\\480x_{1} +720x_{2} +112x_{3} = 26.016[/tex]

Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,

[tex]220x_{1} +190x_{2} = 7.29[/tex]                              ____(4)

Multiply linear equation(2) by 5 and ( 3) by 14 we get,

[tex]600x_{1} +900x_{2} +140x_{3} = 32.52\\2240x_{1} +2660x_{2} +140x_{3} =94.08[/tex]

Subtract above linear equation to eliminate [tex]x_{3}[/tex] we get,

[tex]1640x_{1} +1760x_{2} = 61.56\\\\4( 410x_{1} +440x_{2}) = 61.56[/tex]

[tex]410x_{1} +440x_{2}= 15.39[/tex]                         ____(5)

Multiply linear equation (4) by 88 and ( 5) by 38 we get,  

[tex]19360x_{1} +16720x_{2} = 641.52\\\\15580x_{1} +16720x_{2} = 584.82[/tex]

Subtract above linear equation to eliminate [tex]x_{2}[/tex] we get,

[tex]3780x_{1} =56.7[/tex]

⇒[tex]x_{1} =0.015[/tex]

Substitute the value of [tex]x_{1}[/tex] in (5) we get,

[tex]410(0.015) +440x_{2}= 15.39[/tex]

⇒[tex]x_{2} =0.021[/tex]

Substitute the value of [tex]x_{1} and x_{2}[/tex] in (1) we get,

[tex]100(0.015) +130(0.021) +16x_{3} = 4.758[/tex]

⇒[tex]x_{3} = 0.033[/tex]

Hence, number of widgets produced per hour for each machine are x1 = 0.015 units, x2 = 0.021units, and x3 = 0.033units.

Learn more about linear system here

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Answer:

20

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

12        ?

----- = -------

3         5

Using cross product

12*5 = 3?

60 = 3?

Divide each side by 3

60/3 = 3?/3

20 = ?

The unknown side is 20

Answer:

20

Step-by-step explanation:

Since the triangles are similar, all the side lengths can be multiplied by a scale factor,

12/3 = 4, so the scale factor is 4, which

5 x 4 = 20, so the missing side length is 20

to answer this question u have to tell me the size of the bear or its not solvabal

Answer:

105.7

Step-by-step explanation:

Answer:

z= 68

Step-by-step explanation:

First Step is to distribute... This simply means to remove the brackets so we have to multiply 4 by both z and 6... lets go...

4 (z + 6) = 296

4z + 24 = 296

Secondly, Send all letters on one side of the equal sign (preferrable the left) and all numbers on the other side...Just remember when ever you sending a letter or number across the equal sign, the sign of the number/letter changes... i.e it will change from positive (+) to negative (-) or vice versa... lets go...

4z + 24 = 296

4z = 296 - 24

4z = 272

z = 272/4

z = 068

Answer:

Step-by-step explanation:

aₙ₊₁ = aₙ + d

a₁₉ = a₁₈ + d

- 7 = a₁₈ + (-17)

a₁₈ = - 7 +17

a₁₈ = 10

C. Plot points C and D and draw a ray through them using C or D as an endpoint.

Answer:

x is equal to negative 1/4

Step-by-step explanation:

Answer:

Negative Quarter.

Step-by-step explanation:

Simply send the letters to one side (preferrably the left) and numbers on the other side... Remember to swutch signs when you pelting the number or letter across the equal sign. i.e negative will become positive and vice versa. lets go...

7 - 5x - 5 - 7x = 5

-5x - 7x = 5 + 5 - 7

-12x = 3

x = -3/12

x = -1/4

controling identifying the problem to be solved, determine the relevant information, and choose how they solve the problem. When students are given the opportunity to make choices in their classwork, they are more invested.

Answer: m = -⅖

----------------------

Answer:

x = [tex]\frac{56}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{9}{24}[/tex] = [tex]\frac{7}{x}[/tex] ( cross- multiply )

9x = 168 ( divide both sides by 9 )

x = [tex]\frac{168}{9}[/tex] = [tex]\frac{56}{3}[/tex]

Answer:

x = 56/3

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 9/24 = 7/x

Then the value of x will be,

→ 9/24 = 7/x

→ 9 × x = 7 × 24

→ 9x = 168

→ x = 168/9

→ [ x = 56/3 ]

Hence, the value of x is 56/3.

Answer:

6

Step-by-step explanation:

The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0 thus option (b) is correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given graph.

The graph is the function of y = |x|

At x = 0 , y = 0 (defined)

And the function goes x = -∞ to ∞

Hence "The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0".

For more details about the range and domain of the function,

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Answer:

Yes

Step-by-step explanation:

Step 1: Define

12x - 10x⁵ - 7 + 3x⁴

-10x⁵ + 3x⁴ + 12x - 7

Step 2: Rearrange both equations into standard form

-10x⁵ + 3x⁴ + 12x - 7

-10x⁵ + 3x⁴ + 12x - 7

We see both are equivalent.

Answer:

Option C: C and D

Step-by-step explanation:

A function, as a rule, can't have multiple output for an input. Also try the vertical line test. If there is more than one point in an imaginary vertical line, then it is not a function.

Answer:

The number would have to be added is 9

Step-by-step explanation:

To find the form of the completing square of the quadratic function:

Let us do these steps with our question

∵ x² + 10x + 16 = 0

→ Divide the coefficient of x by 2

∵ The coefficient of x is 10

∴ 10 ÷ 2 = 5

→ Square the 5

∵ (5)² = 25

→ Subtract the numerical term from 25

∵ The numerical term = 16

∵ 25 - 16 = 9

∴ We must add 9 to 16 to get 25

→ (x² + 10x + 16 + 9) - 9 = 0

→ (x² + 10x + 25) = 9

→ (x + 5)² = 9

The number would have to be added is 9

Answer:

g = 16/3

Step-by-step explanation:

Answer:

g=16/13

Step-by-step explanation:  

3g - 6 + 2g + 1 = 11 - 8g

     5g   - 5  = 11  - 8g

__ +8g________+8g____

     13g   - 5   = 11

 ______+5__+5____

     13g   =       16/13

And 16 goes into 13 once same with 13 going into 16 so it can't be simplified.

your answer is g= 16/13