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3 years ago

Without using technology, describe the end behavior of f(x) = −3x38 + 7x3 − 12x + 13.

2 answers:

8 0

Second option: down on the left, down on the right.

Clearly when x is bigger than one the term -x^38 will dominate the result.

When absolute value of x grows, x^38 becomes a larger positive number and - x^38 a larger negative number. Then both ends of the function tend to negative infinity.

denis-greek [22]3 years ago

4 0

Answer:

Down on the left, down on the right

Step-by-step explanation:

The degree is even and the leading coefficent is negative,hence the answer "Down on the left, down on the right"

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Please help

juin [17]

Answer:

$\displaystyle \large{y = \frac{1}{4} x + 1}$

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept

After reading the context, what do we know?

a slope of 1/4
a line passes through (-8,-1)
write in slope-intercept form

We finally have the information — our first step is to write our slope-intercept equation.

$\displaystyle \large{y = mx + b}$

We know that m is slope which is 1/4 — substitute in the equation.

$\displaystyle \large{y = \frac{1}{4} x + b}$

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

$\displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}$

After using all information, it seems that we are solving for b-term or y-intercept.

$\displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}$

From above — cross-division.

$\displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}$

Add both sides by 2 to isolate b-term.

$\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}$

Therefore, the value of b is 1. From the equation:

$\displaystyle \large{y = \frac{1}{4} x + b}$

Substitute b = 1 in the equation.

$\displaystyle \large{y = \frac{1}{4} x + 1}$

And we're done!

8 0

3 years ago

Bill worked 24 hours last week and earns $8.25 per hour. Use front-end estimation to find an estimate of the total amount of mon

never [62]

It will be 2.90 repeating because you will divide 24 by $8.25 and will give you the answer 2.90

3 0

3 years ago

Read 2 more answers

Jaclyn is selling cookies for her club. She sells 2 boxes for $5. What unit rate expresses the cost per box?

quester [9]

$2.50 per box, because 5/2 is 2.5

3 0

4 years ago

Read 2 more answers

Find the value of x, given that m<PQS = 112 (ALREADY ANSWERED.)

Art [367]

We know that measure angle PQS = 112 degrees.
From the drawing, we can see that:
measure angle PQR + measure angle RQS = measure angle PQS
72 + 10x = 112
10x = 112 - 72
10x = 40
x = 4

5 0

3 years ago

Given that CB is tangent to A at C, then the value of X is

Marat540 [252]

Well just use the formula a^2+b^2=c^2. C squared in this case will be 30, It does not matter whether 24 is a or b^2 since we are still adding them. Now your equation should look like this

a^2+24=30 then….

a^2=30-24

a^2=6

a=square root of 6

Therefore your radius is square root of 6 or x=square root of 6

3 0

2 years ago