Complete the steps to solve for x.

How do you write a quadratic equation in standard form?

Lemur [1.5K]

Answer:

Powers of the variable descending left to right
right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

ax^2 + bx + c = 0

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It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

Powers of the variable are descending
All of the non-zero terms are on the left side of the equal sign
Like terms are combined

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* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

3 0

3 years ago

PLEASE HELP ME THANK YOUUUU

MArishka [77]

8793 attendees and your welcome tell me if I got it wrong please

6 0

3 years ago

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

Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?

marissa [1.9K]

The correct answer would be d (2,-5)

3 0

2 years ago

Someone help please :(

Hunter-Best [27]

Answer:

Answers in step-by-step.

Step-by-step explanation:

We are going to make Sarah the variable "s."

Using the given information, the following equation is derived to calculate Sarah's distance.

S=2n-5

And the following equation will be used to calculate what Sarah collected using "p" for pledged money.

P=18S

If Sarah collected $450 in pledges, we can use the preceding formula to calculate her distance.

P=18S
450=18S
450/18=S
25 miles = S

Using Sarah's distance, we can calculate Semir's either the first equation.

S=2n-5
25=2n-5
30=2n
15=n
Semir walked 15 miles.

We already found Sarah's distance to be 25 miles.

Now SungSo is making the same amount as Sarah. He collects $450 total, but he got $72 from his grandmother initially, so subtract 72 from 450 to get the amount he collected from walking.

450-72=$378

His formula is the same as Sarah's, but we'll use SS for his variable.

P=18SS
378 = 18SS
378/18=SS
21= SS
SungSo walked 21 miles.

4 0

3 years ago