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sergiy2304 [10]

2 years ago

10

The Jemenez family took a four day road trip.They traveled 300 miles in 5 hours on Sunday, 200 miles in 3 hours on Monday, 150 m

iles in 2.5 hours on Tuesday,and 250 miles in 6hours on Wednesda. On which day did they average the greatest miles per hour?

1 answer:

Sergio039 [100]2 years ago

3 0

On average, the day they were going the most miles per hour would be Monday.

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For all functions of the form f(x) = ax^2 + bx + c, which is true when b=0

Ainat [17]

Answer:

The y-intercept will always be the vertex of the function.

Step-by-step explanation:

The functions with the following form $f(x) = ax^2 + bx + c$ are quadratic equations and have a parabolic form, which means the have a vertex. The x coordinate of the vertex is given by the following expression $x = \frac{-b}{2*a}$ . When b is equal to zero, the vertex of the function will always be the y-intercept, therefore the correct answer is the third one.

8 0

2 years ago

You spend 3 2/5 hours hiking and an additional 1/2 hour to rest.

Ket [755]

Answer:

Step-by-step explanation:

3 2/5 minus 1/2 after finding common denominator.

Answer:

29/10

Then simplify

4 0

2 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

3 years ago

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OLEGan [10]

Answer:

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4 0

2 years ago

Read 2 more answers

Please help immediately

Burka [1]

Answer: $f'(1)=\dfrac{4}{2y+1}$

<u>Step-by-step explanation:</u>

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

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Derivative: 0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

y'(2y + 1) = 4x

$y'=\dfrac{4x}{2y+1}$

$\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}$

8 0

2 years ago