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3 years ago

Solve the equation. Then check your solution.

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Answer:

x-4=2

x=2+4

x=6 is the answer

sleet_krkn [62]3 years ago

7 0

X-4=2

Take -4 to the other side as a positive number

2+4=6

x is equal to 6 (option b)

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Rewrite using a single positive exponent

fiasKO [112]

Step-by-step explanation:

$\frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3}$

5 0

3 years ago

Which is the graph of f(x) = log3x?.

valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; $\rm f(x) = log3x$

We have to determine

The graph of the function f(x).

According to the question

The logarithmic function is the inverse of the exponential function.

Function; $\rm f(x) = log_3x$

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

$\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1$

The point at x= 3 is,

$\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1$

The point at x= 9 is,

$\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3$

Hence, the points for the given function are (1,0) (3,1) and (9,2).

To know more about the Exponential function given below.

brainly.com/question/3653847

5 0

3 years ago

Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0

2 years ago

Explain what |-13| means and how to simplify.

poizon [28]

The two bars ( | | ) symbolize absolute value

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

|-13| is 13

The absolute value of -13 is 13

Hope this helped!

~Just a girl in love with Shawn Mendes