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In-s [12.5K]
3 years ago
5

A car is traveling at a steady speed. It travels 1 and one half

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Step-by-step explanation:

1.5 mi = 2 and 1/4 min

In 43 minutes:

43 ÷ 2.15 = 20             2.15 = 2 and 1/4 min

Now you have to multiply 1.5 by 20

1.5 x 20 = 30

In 1 hour (60 minutes):

60 ÷ 2.15 = 27.9

Now you have to multiply 1.5 by 27.9

1.5 x 27.9 = 41.85

Hope this was helpful :)

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Hard question but would help me out
Alekssandra [29.7K]

Answer:

Critical value f(1)=2.

Minimum at (1,2), function is decreasing for 0 and increasing for x>1.

\left(3,\dfrac{4}{\sqrt{3}}\right) is point of inflection.

When 0<x<3, function is concave upwards and when x>3, , function is concave downwards.

Step-by-step explanation:

1. Find the domain of the function f(x):

\left\{\begin{array}{l}x\ge 0\\x\neq 0\end{array}\right.\Rightarrow x>0.

2. Find the derivative f'(x):

f'(x)=\dfrac{(x+1)'\cdot \sqrt{x}-(x+1)\cdot (\sqrt{x})'}{(\sqrt{x})^2}=\dfrac{\sqrt{x}-\frac{x+1}{2\sqrt{x}}}{x}=\dfrac{2x-x-1}{2x\sqrt{x}}=\dfrac{x-1}{2x^{\frac{3}{2}}}.

This derivative is equal to 0 at x=1 and is not defined at x=0. Since x=0 is not a point from the domain, the crititcal point is only x=1. The critical value is

f(1)=\dfrac{1+1}{\sqrt{1}}=2.

2. For 0 the derivative f'(x)<0, then the function is decreasing. For x>1, the derivative f'(x)>0, then the function is increasing. This means that point x=1 is point of minimum.

3. Find f''(x):

f''(x)=\dfrac{(x-1)'\cdot 2x^{\frac{3}{2}}-(x-1)\cdot (2x^{\frac{3}{2}})'}{(2x^{\frac{3}{2}})^2}=

=\dfrac{2x^{\frac{3}{2}}-2(x-1)\cdot \frac{3}{2}x^{\frac{1}{2}}}{4x^3}=\dfrac{2x^{\frac{3}{2}}-2\cdot\frac{3}{2}x^{\frac{3}{2}}+ 2\cdot\frac{3}{2}x^{\frac{1}{2}}}{4x^3}=

=\dfrac{-x+3}{4x^{\frac{5}{2}}}.

When f''(x)=0, x=3 and f(3)=\dfrac{3+1}{\sqrt{3}}=\dfrac{4}{\sqrt{3}}.

When 0<x<3, f''(x)>0 - function is concave upwards and when x>3, f''(x)>0 - function is concave downwards.

Point \left(3,\dfrac{4}{\sqrt{3}}\right) is point of inflection.

4 0
3 years ago
Which property of equality was used to solve this equation?
HACTEHA [7]
Division property of equality. They are dividing -5 to both sides.
3 0
2 years ago
Pls help asap! Will give brainliest
Crazy boy [7]

Answer:

A and B and C

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If x2 =<br> 20, what is the value of x?
leva [86]

Answer:

the square root of 20 is 4.472135955

Step-by-step explanation:

4 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y+2=1/3(x-5);(-4,3
wel
Here, equation of a line, y + 2 = 1/3 (x -5)
slope = 1/3

Slope of the line which is perpendicular would be -3   [ reciprocal & opposite ]

Now, y - y1 = m(x-x1)
y - 3 = -3(x - (-4))
y - 3 = -3x - 12
y = -3x - 9

In short, Your Answer would be y = -3x - 9

Hope this helps!
7 0
2 years ago
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