Colin invests £2900 into his bank account.

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.

Fudgin [204]

Answer:

The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.

0 = − 4.9t^2 + 178t + 325

t = 38.07, -1.74

(Throw away the negative answer, since time can't be negative.)

t = 38.07 sec

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4 0

2 years ago

Answer this with work! I am rank 2 Distributive property2x - 4(+4) = 10(+4)?

GrogVix [38]

Use the method pemdas and you get x=28

7 0

4 years ago

Read 2 more answers

Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$

Then, $f'(x)=\frac{-1}{x^2}$

7 0

4 years ago

Which proportion could you use to convert 4.5 tons to pounds? 4.5 tons =____ pounds

mina [271]

Answer:

9000 pounds

Step-by-step explanation:

Since there are 2,000 pounds in a ton, you should use the proportion on the left.

Solve the equation:

$\frac{2000}{1} = \frac{?}{4.5} \\(2000)(4.5) = 9000$

6 0

2 years ago

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To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the

Mars2501 [29]

Answer:

No.

Step-by-step explanation:

The function is any equivalence relation in which there is only one output for every input. This means that the domain must be exhausted in order to gain all the elements of the range and each element of domain gets mapped to only one of the elements of the range. Vertical line test is used to determine whether a graph is a function or not. This test requires that vertical lines parallel to y-axis and including y-axis be drawn on the graph to see that each vertical line intersects the graph only once. This must be true for all the elements of the domain. Therefore, vertical line test requires to draw numerous vertical lines other than the y-axis since the definition of the function requires that. In short, mathematically, there will be a need for infinite number of vertical lines to perform the test. Therefore, Shayla is not applying the vertical line test correctly!!!

8 0

3 years ago