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2 years ago

Per has 32 cans of lead paint. If he drinks 16 , adn buys 2 times as many as he had, how many cans of paint would per have?

Mathematics

1 answer:

8090 [49]2 years ago

7 0

Answer:

the answer is 32

Step-by-step explanation:

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Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

3 years ago

Read 2 more answers

Whats the slope form?

katen-ka-za [31]

The answer is in slope form : Y=1x+5

Reason: all you do is (rise/run) to get the slope. So take (5/5)=1x (slope). Also, your intercept is +5.

8 0

2 years ago

Composition of functions Find g (f(x)) for the following problems

beks73 [17]

$f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}$

$f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}$

$f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}$

$f(x)=2x^2\qquad g(x)=8x^2+3x\\\\g(f(x))=8(2x^2)^2+3(2x^2)=8\cdot4x^4+6x^2=\boxed{32x^4+6x^2}$

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2 years ago

Can anybody help me with this?

r-ruslan [8.4K]

Study..................................................

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2 years ago

Sisters Rosey and Valerie specialize in two different triathlon events. Rosey finds that her average cycling speed is 7 mph fast

Musya8 [376]

Valerie's running speed is 16 miles per hour.

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3 years ago