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3 years ago

Let f(x)=6(2)^x−1+4

Mathematics

2 answers:

cricket20 [7]3 years ago

4 0

It equal 12 have a nice day

IgorC [24]3 years ago

4 0

Answer:

$g(x)=24(2)^{x-1}+16$

Step-by-step explanation:

The transformation of functions consists in applying a factor to a function that can expand or contract the function vertically or horizontally, reflect it on the axes or translate it with respect to the original function.

In this case, the function must be expanded vertically by a factor of 4, for which it must be multiplied entirely by the given factor, as follows:

$f(x)=6(2)^{x-1}+4$

$g(x)=4*[6(2)^{x-1}+4]$

$g(x)=24(2)^{x-1}+16$

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What is the answer to this equation 11(-2)

kolbaska11 [484]

Answer:

The answer is -22

Step-by-step explanation:

remove the parentheses then you have 11 * -2 = -22

I am happy to assist :)

5 0

3 years ago

Read 2 more answers

In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of

tigry1 [53]

Let x = liters 20% solution to be added
then

.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters

Hope this helped!!

3 0

3 years ago

Given that 35.8 x 4.23= 151.434<br>write down a division sum with an answer of 423.

Nina [5.8K]

Answer:

151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

a·b = c ⇒ a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

151434/358 = 423

7 0

2 years ago

Which of these numbers is divisible by 8,,, 7116 4309 ,,,4136,,, 9406

Nikolay [14]

4136/8= 517

The others
7116/8=889.5
4309/8=538.625
9406/8=1175.75

4 0

3 years ago

Read 2 more answers

A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.

irakobra [83]

Answer:

The integral is equal to $5\sec^2(2x)+C$ for an arbitrary constant C.

Step-by-step explanation:

a) If $u=\tan(2x)$ then $du=2\sec^2(2x)dx$ so the integral becomes $\int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C$ . (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case $u=\sec(2x)$ hence $du=2\tan(2x)\sec(2x)dx$ . We rewrite the integral as $\int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C$ .

c) We use the trigonometric identity $\tan(2x)^2+1=\sec(2x)^2$ is part b). The value of the integral is $5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C$ . which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.

3 0

3 years ago