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Explanation:
It honestly depends on the CAS program, but for GeoGebra for instance, the general format would be Division[P, Q]
Where,
P = numerator = (4x^3+2x^2+3x+5)^2Q = denominator = x^2+3x+1As another example, let's say we want to divide x^2+5x+6 all over x^3+7 as one big fraction
We would type in Division[x^2+5x+6, x^3+7]
I need help! 50 points + brainliest
1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
x = ±3
x = 3
x = -3
x = ±9
2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?
Answer:monthly rent of a 1-bedroom apartment= $280
Step-by-step explanation:
Let the cost of 1 bed room apartment = x
And the cost of two bedroom apartment= 2x-40
Since the cost of of two bedroom apartment = $520
Then the cost of one bed room part will be expressed as
520= 2x- 40
520+40 = 2x
560= 2x
x= 560/ 2
x= 280
Therefore the cost of 1 bed room apartment = x= $280
Jim had a collection of 24 state quarters. He poured 10 of them onto the table and noticed the years that the quarters were produced,
as shown below.
2004, 2006, 2009, 2003, 2001, 2001, 2006, 2006, 2004, 2003
Assuming that the sample was representative of the collection, what was the mode of the year that the quarters were produced?
Answer:
2006
Step-by-step explanation:
you would subrwct them
01:59:16
C C E
Martina rolls a fair, 6-sided number cube 10 times and records the proportion of 3s rolled. She repeats this process
of rolling the number cube 10 times and recording the proportion of 3s rolled many, many times. She then makes a
histogram of the results. This histogram approximates
the bias, if any.
O a Normal curve,
the population distribution.
o the distribution of sample data.
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Mark this and return
Save and Exit
Next
Submit
Answer:
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Answer:
(B) a Normal curve.
Step-by-step explanation:
Because of the central limit theorm, the histogram will become more and more Normal as n ( the smaple size) gets larger.
whats x equal show work
Answer:
1.71
................
Decide whether −3/12 terminates or repeats when expressed as a decimal
If the national average for a gallon of gas is $3.10, how much should you expect to pay for gas in philadelphia versus atlanta
Answer: $3.63 / $3.29
Step-by-step explanation:
In Philadelphia, you would pay:
= 3.10 * Percentage of national average for transport
= 3.10 * 117%
= $3.63
In Atlanta:
= 3.10 * Percentage of national average for transport
= 3.10 * 106%
= $3.29
The table below compares the cost of living in Philadelphia and Cleveland, with the numbers representing percentages of the national average.
Answer:
$3.63 / $3.29
Step-by-step explanation:
Just did test
Sarah has a 22 ounce lemonade. She drinks 9 ounces. Enter the percentage of ounces Sarah has left of her lemonade. Round your answer to the nearest hundredth.
Answer:
40.91 percent
Carla bought 5 school lunches in one week for $18.75. Which equation can be used to determine the price, p, in dollars, of 1 school lunch?
A. P/5 = $18.75
B. 5/P = $18.75
C. $18.75/5 = P
D. 5/ 18.75 = P
And also include how you got the answer
Answer:
Step-by-step explanation:
C
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 5, 16 greater-than negative 40, negative 8 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, 5, 8, negative 4. Column 3 is labeled New Inequality with entries A, B, C, D.
The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality.
A:
B:
C:
D:
The inequality symbol is only reversed when dividing by a
number.
Answer:
A:
✔ –4 < –1
B:
✔ –2 < –1
C:
✔ 2 > –5
D:
✔ 2 > –1
The inequality symbol is only reversed when dividing by a
✔ negative
number.
Answer:
1. B
2. B
3. A
4. A
5. negative
Step-by-step explanation:
This isn’t math but I don’t get the questions i don’t know how to answer it
Answer:
The people in my life are academically supportive because they motivate me to do my work.
Something like that.
WHOEVER ANSWERS CORRECTLY WILL BE AWARDED BRAINLIEST
The game room of the youth centre needs carpet. The room measures 3 feet by 2 feet on the blueprint. If the scale on the blueprint is 1 foot to 5 yards, what is the actual area of the game room?
Answer: The area of the room would be 150 yards.
Step-by-step explanation: the room is 15yd + 10yd so 15x10 is 150
What is 50% of 20. ?
Answer:
it's literally 10 just divide
50% of 20 is 10.
Asking for 50% of something is like asking for half, therefore your answer is 10. :)
Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She
gave the cashier $40.00. What was her change?
Answer:
$16
Step-by-step explanation:
6 = 4x + 9y ( what Y )
Answer:
Step-by-step explanation:
6
Given m||n fine the value of x
Factor the GCF -12x^3y^5-9x^2y^2+12xy^3
A recipe for peach cobbler requires 10 peaches for each cobbler.
Sarah has 38 peaches. Which expressions shows at most the
number of cobblers Sarah can make?
Answer:
3
Step-by-step explanation:
38 / 10 = 3.8 so that means you only have 3 whole numbers
The zurn family ate at a restaurant that was having 15% discount on that day .Their meal costs 64.75,and they left a 20% tip .What is the total cost of the meal
Answer:
[tex]66.05[/tex]
Step-by-step explanation:
Cost of meal = [tex]64.75[/tex]
Cost of meal after discount of [tex]15\%[/tex]
[tex]64.75-64.75\times 0.15[/tex]
[tex]=64.75(1-0.15)[/tex]
[tex]=55.0375[/tex]
Cost of the meal after tip of [tex]20\%[/tex]
[tex]55.0375\times (1+0.2)[/tex]
[tex]=66.045\approx 66.05[/tex]
The total cost of the meal was [tex]66.05[/tex].
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
Answer:
[tex]\boxed {\boxed {\sf \$54.80}}[/tex]
Step-by-step explanation:
Chris earns the commission on the jewelery sales. To calculate what he earned, multiply the commission rate and his sales.
[tex]commission= commission \ rate * sales[/tex]
His rate is 4% and his sales are $1,370
[tex]commission= 4\% * \$1370[/tex]
Convert the percent to a decimal. Divide by 100 or move the decimal two spots to the left.
4/100= 0.04 4.0 --> 0.4 --> 0.04[tex]commission= 0.04* $1370[/tex]
[tex]commission = \$ 54.8[/tex]
Chris's commission is $54.80
solve the following equation.
4(x+2)-17=35
Answer:
Step-by-step explanation:
x=11
7 in.
2 in.
2
12 in.
5 in.
2 in.
9 in.
What is the volume of the figure? Enter the answer in the box.
cubic inches
Please help me, to be submitted tomorrow. Pls help
Answer:
I got the answer 13
Step-by-step explanation:
To be short, I use the tangent ratio
Answer:
i got 13 but i would try to work it out yourself just incase
Step-by-step explanation:
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)
Answer:
It would be a trapezoid!
Step-by-step explanation:
Answer:
I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?
Please help me w this
Answer:
vertical
adjacent
linear
Step-by-step explanation:
Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires.
Answer:
166 per person
Step-by-step explanation:
500 divided by 3
Find the range of f (x) = - 2x + 6 for the domain {–4, –3, –2, –1}.
Write the slope-intercept equation of the line on this graph.
Answer:
where is the graph?
Step-by-step explanation:
question: state if the polygons are similar. (these are only 3 yes or no questions pls help!)
Answer:
Yes
Step-by-step explanation:
Because they all have straight sides, and have four sides.
30 miles to kilometres
Answer:
48.2803
Step-by-step explanation:
Answer:
48.2803
Step-by-step explanation: