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2 years ago

Is x=16 the solution to the equation x−12=4?

Mathematics

2 answers:

Anna [14]2 years ago

7 0

Answer: Yes it would be x=16

slavikrds [6]2 years ago

3 0

Answer:

Yes. 16 - 12 = 4.

Step-by-step explanation:

If the value of x = 16, then just plug it in

x - 12 = 4

∫

16 - 12 = 4

Check our answer:

4 + 12

4 + 10 = 14

14 + 2 = 16

16 - 12 = 4

(Answer is 16 - 12 = 4.)

This is the correct solution.

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Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

worty [1.4K]

Answer:

(0, -3)

explanation:

original coordinates of C: (0, -7)

If reflected over y axis, there will be additive inverse in x unit

use the formula: (x,y) → (−x, y)

new coordinates: (0, -7)

Then if translated vertically, there will be change in y axis:

(0, -7+4) → (0, -3)

5 0

3 years ago

Tasha wants to graph a line that is parallel to the line with equation y = 3x. Give two examples of linear equations that repres

Arturiano [62]

When two lines are parallel, that means they have the same slope!

The slope is the coefficient of x

In the equation y = 3x, the slope is 3

An example of a line that is above y = 3x is ...

y = 3x + 2

The "+2" shifts the line up by 2 on the y axis

An examples of a line that is below y = 3x is ...

y = 3x - 3

The "-3" shifts the line down by 3 on the y axis

5 0

3 years ago

Which expression can be used to model the phrase "the sum of three and a number"?

NeX [460]

The sum of three and a number is 3+x

3 0

4 years ago

Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,

Lunna [17]

Answer:

48 - 8c

Step-by-step explanation:

let c be the number of coworkers

48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.

5 0

3 years ago

Read 2 more answers