Solve Gx) for the given domain.

What does h(40) = 1700 mean in terms of the problem?

ipn [44]

Answer:

40 hours of training=h(40)

Monthly Pay=1700

Step-by-step explanation:

For 40 hours of training, you will receive $1700 for the month.

7 0

2 years ago

An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the

julsineya [31]

Answer:

The maximum height is 136 ft

The time it takes to achieve this height is 1.5 s.

Explanation:

1. Function for the height (given):

$h(t)=-16t^2+48t+100$

2. Type of function

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation $y=ax^2+bx+c$ is at the x-coordinate

$x=-b/(2a)$

3. Time to achieve the maximum height

Substitute b with 48 and a with - 16:

$t=-48/(2(-16))=48/32=3/2=1.5$

Then, time when the object achieves the maximum height it 1.5s

4. Maximum height:

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

$h(1.5)=-16(1.5)^2+48(1.5)+100=136$

Then, the maximum height is 136 ft

3 0

3 years ago

Which expression is equivalent to 6x+7-12*2-(3 to the power 2 +3)-x

kow [346]

Step-by-step explanation:

Questions about equivalent expressions usually feature both simple expressions and complex expressions. To check which complex expression is equivalent to the simple expression:

Distribute any coefficients: a(bx\pm c)=abx\pm aca(bx±c)=abx±aca, left parenthesis, b, x, plus minus, c, right parenthesis, equals, a, b, x, plus minus, a, c.

Combine any like terms on each side of the equation: xxx-terms with xxx-terms and constants with constants.

Arrange the terms in the same order, usually xxx-term before constants.

If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Example

How do we solve for unknown coefficients?

Some questions will present us with an equation with algebraic expressions on both sides. On one side, there will be an unknown coeffient, and the question will ask us to find its value.

For the equation to be true for all values of the variable, the two expressions on each side of the equation must be equivalent. For example, if ax+b=cx+dax+b=cx+da, x, plus, b, equals, c, x, plus, d for all values of xxx, then:

aaa must equal ccc.

bbb must equal ddd.

To find the value of unknown coefficients:

Distribute any coefficients on each side of the equation.

Combine any like terms on each side of the equation.

Set the coefficients on each side of the equation equal to each other.

Solve for the unknown coefficient.

Example

How do we rearrange formulas?

Formulas are equations that contain 222 or more variables; they describe relationships and help us solve problems in geometry, physics, etc.

Since a formula contains multiple variables, sometimes we're interested in writing a specific variable in terms of the others. For example, the formula for the area, AAA, for a rectangle with length lll and width www is A=lwA=lwA, equals, l, w. It's easy to calculate AAA using the formula if we know lll and www. However, if we know AAA and www and want to calculate lll, the formula that best helps us with that is an equation in which lll is in terms of AAA and www, or l=\dfrac{A}{w}l=

w

A

l, equals, start fraction, A, divided by, w, end fraction.

Just as we can add, subtract, multiply, and divide constants, we can do so with variables. To isolate a specific variable, perform the same operations on both sides of the equation until the variable is isolated. The new equation is equivalent to the original equation.

7 0

2 years ago

Read 2 more answers

The magnitude of the resultant vector shown is _____.

Flura [38]

Answer:

2√3

Step-by-step explanation:

You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).

The magnitude of R is 2√3.

_____

In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...

Sin = Opposite/Hypotenuse

sin(30°) = √3/R

R = √3/sin(30°) = √3/(1/2) = 2√3

Of course, doing this on your calculator will give a numerical answer, which you may not want.

6 0

2 years ago

Find the slope and the y intercept Y=1/3x + 2

Andrej [43]

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

7 0

2 years ago