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2 years ago

11

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (1, 1), slope

= 2

1 answer:

RSB [31]2 years ago

7 0

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-1)

y=2x-2+1

y=2x-1

Please mark me as Brainliest if you're satisfied with the answer.

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Examine the following graphed system of linear inequalities.

AleksandrR [38]

Answer:

what do you want to be answered

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What’s all input for f(x)=3

defon

Answer:

all inputs are equal to <u>3</u>

Step-by-step explanation:

$f(x) = 3 \\ = 3 \times 1\\ = 3 \times {x}^{0} \\ anything \: raised \: to \: 0 \: is \: 1 \\$

$\\ substituting \: any \: value \\ \: of \: x \: in \: f(x) \\ f(3) = 3 \times {3}^{0} \\ = 3 \times 1 \\ = 3 \\$

$\\ similarly \: all \: values \: of \: x \: will \\ give \: 3$

8 0

2 years ago

Find LCM of 9-p^2 and p^2+3p

snow_lady [41]

Answer:

(3+p)

Step-by-step explanation:

solution

first expression=9-P^2

=3^2 - P^2

=(3+P) (3-p)

second expression=p^2 + 3p

= p(3+p)

Therefore lCM= (3+p)

3 0

2 years ago

Please help me with the correct answer !!!

Nataly [62]

The answer would be D

6 0

3 years ago