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3 years ago

Evaluate f-2g for f = 3 and g = 27.

1 answer:

7 0

If you would like to evaluate f - 2 * g for f = 3 and g = 27, you can do this using the following step:

f - 2 * g = 3 - 2 * 27 = - 51
The correct result would be - 51.

If you would like to evaluate x * 0 + y * 0 for x = 3 and y = 2, you can do this using the following step:

x * 0 + y * 0 = 3 * 0 + 2 * 0 = 0 + 0 = 0
The correct result would be 0.

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

3 years ago

Move the slider on the graph on the right to graph each function:

DedPeter [7]

Answer:

The domain is $x\geq 7$

The range is $y\geq 1$

Step-by-step explanation:

we have

$y=\sqrt{x-7} +1$

Find the domain

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

$x-7\geq 0$

solve for x

$x\geq 7$

therefore

The domain is $x\geq 7$

Find the range

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

$y=\sqrt{7-7} +1=1$

The solution for y is the interval [1,∞)

therefore

The range is $y\geq 1$

6 0

3 years ago

Read 2 more answers

The perimeter of an equilateral triangle is 117mm. State the length of one of its sides.

alina1380 [7]

Equilateral triangles have equal sides
117/3 = 39 mm. All the sides equal to
39 mm

Solution: 39mm

5 0

3 years ago

During martinez family trip they drove from home to a ski lodge a distance of 45 4/5 miles and then drove an additional 17 4/5 m

Fudgin [204]

Answer: the trip is 127 1/5 miles

Step-by-step explanation:

The distance that the martinez family drove from home to the ski lodge is 45 4/5 miles. Converting 45 4/5 miles to improper fraction, it becomes 229/5 miles.

Then, they drove an additional 17 4/5 miles to there friends house. Converting 17 4/5 miles to improper fraction, it becomes 89/5 miles

This means that the total distance that they drove while going is

229/5 + 89/5 = 318/5 miles

If the family drove the same route back home, then the distance traveled during there trip is

2 × 318/5 = 636/5 miles

Converting to mixed fraction, it becomes

127 1/5 miles

4 0

3 years ago

What is 1.667 as a fraction

Solnce55 [7]

Step-by-step explanation:

hoped this helped have a nice day

4 0

3 years ago