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4 years ago

Write an equation to represent this situation and answer the question

Mathematics

1 answer:

il63 [147K]4 years ago

7 0

The equation would be x+3x(10+2x)=142
The sides are 22cm , 54cm and 66 cm.

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Let f(x)=−14(x+4)2−8 .

nevsk [136]

Answer:
Average rate of change = -112

Explanation:
The average rate of change = $\frac{f(b) - f(a)}{b - a}$
where:
b is the upper limit = 2
f(b) = f(2) = -14(2+4)² - 8 = -512
a is the lower limit = -2
f(a) = f(-2) = -14(-2+4)² - 8 = -64

Substitute with these values in the above equation to get the average rate of change as follows:
average rate of change = $\frac{-512 - (-64)}{2 - (-2)} = -112$

Hope this helps :)

3 0

3 years ago

Read 2 more answers

it takes 10.4 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has

Anastasy [175]

Answer:

Test statistic (t) = 0.625

Step-by-step explanation:

Step(i):-

mean of the Population(μ) = 10.4 hours

Sample mean (x⁻) = 10.7 hours

Standard deviation of the sample( S) = 1.44

The level of significance (α= 0.1

Sample size 'n' = 9

Degrees of freedom = n-1 = 9-1 =8

Step(ii):-

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{10.7 -10.4}{\frac{1.44}{\sqrt{9} } } =0.625$

8 0

3 years ago

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

The time is taken to reach Q after reaching the coast $= \frac{\sqrt{(1 + (3-x)^2)}}{4}$

Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$

x=0.45385

6 0

3 years ago

Please help with this inequality 4+6x<4x-18

user100 [1]

Answer:

x < - 11

Step-by-step explanation:

Given

4 + 6x < 4x - 18 ( subtract 4x from both sides )

4 + 2x = - 18 ( subtract 4 from both sides )

2x < - 22 ( divide both sides by 2 )

x < - 11

5 0

3 years ago

drag each tile to the correct box. not all tiles will be used. Identify the functions that are continuous on the set of real num

vaieri [72.5K]

Answer: hello your question is incomplete attached below is the complete question

Answer : g(x), j(x), k(x), f(x), m(x), h(x)

Step-by-step explanation:

The Arrangement of the functions in ascending order ( i.e. starting from the least to the Highest ) is based on the definition of the denominator for all the real values of x and the continuation of the function on the set of real numbers.

when resolving the given functions input the value of x = 5 into the given function to determine the above conditions

g(x) ; has its denominator defined for all real values of x , hence the function g(x) is continuous on the set of real numbers

6 0

3 years ago