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.
which of the trigonometric ratios has a value that is undefined?
Answer:
[tex]\tan \left(\frac{\pi }{2}\right)[/tex]
Step-by-step explanation:
We know that tan(x) is defined as sin(x)/cos(x):
[tex]\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,\\\\[/tex]
[tex]\tan \left(\frac{\pi }{2}\right) = 1/0 \\[/tex]
1/0 is undefined as 0 is in the denominator
what is 5+3.2n-6-4.8n=
Answer:
-1-1.6n
Step-by-step explanation:
5+3.2n-6-4.8n
add like terms
-1-1.6n
Answer:
[tex]-1.6n-1[/tex]
Step-by-step explanation:
[tex]5+3.2n-6-4.8n[/tex]
[tex]-4.8n[/tex]
_______________[tex]________________________[/tex]
[tex]5-1.6n-6[/tex]
[tex]-6[/tex]
________________
[tex]-1-1.6n[/tex]
[tex]-1.6n-1[/tex]
The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger
Worth 40 points plz help fast!
Answer:
only Rodger
Step-by-step explanation:
Roger:
38*6=228
80+(20*6)=200
He will save 28 dollars with the membership
Grace:
38*4=152
80+(20*4)=160
Grace will pay 8 dollars more with the membership
Please help asap ;-;
Answer:
1: 11
2: 1
3: -9
4: -49
Answer:
See screenshot below
Step-by-step explanation:
All you have to do it substitute the x in the rule with the x in the table. Let's do the first one in the steps below.Write the equation with the x value: y = -10(-1) + 1-10 × -1 = 10Plug 10 in: y = 10 + 110 + 1 = 11So, y = 11Now that you know how to find the rest, go ahead and do it (my answer doesn't show the work, but the answers are in the screenshot below)I hope this helps!
Based on the graph, what is the unit price at the print shop? pls help
Answer:
0.50
Step-by-step explanation:
Half of 8 is 4 which is where the point is labeled and you can see that where is the first point is located it is at the half way mark which would be .50 so each page printed is 0.50
Answer:
$1
Step-by-step explanation:
as you can see the total price category (Y intercept) tells you the total price for each pages printed. For each page, you have to pay $1
In Sunday's Super Bowl, Tampa Bay ended up winning over Kansas City. With the win, Tampa Bay's Quarterback Tom Brady now has 7 Championships out of 10 tries. What is Tom Brady's overall winning percentage %? Hint 7 out 10 is what percentage?
Answer:
KANAS CITY CHIEFS ARE THE BEST FRICK TOM BRADY HE IS OLD HE IS 43 YEARS OLD LIKE DUDE STOP UR TO OLD FRICK THE TAMPA BAY BUCS
Step-by-step explanation:
Answer: 70% Brady is the goay
Step-by-step explanation:
someone help me pls
Which graph shows a linear function?
Answer:
top right
Step-by-step explanation:
because
Select three ratios that are equivalent to 5:2.
Choose 3 answers:
A: 2 : 5
B: 10:4
C: 20:50
D: 35:14
E: 55 : 22
Simplify the expression below as much as possible (6-i)+(4+2i)-(-2+i)
A. 8
B. 12
C. 12+2i
D. 8+2i
Answer:
=6-i+4+2i+2-i
=6+4+2+2i-i-i
=12+2i-2i
=12
Simplify
21^6y^5/14x^2y^9
1 2 2 5 2 3 0 3 ^1 4 ^2/2
help now i will branlist
Answer:
.23 cents per ounce
Step-by-step explanation:
first you do 3.68/16=.23
Answer:
[tex] \frac{3.68}{16} \times \frac{100}{1} = \boxed{23 \: cent \: per \: ounce}[/tex]
3/4 means the same as %?
Answer:
75%
Step-by-step explanation:
1/4 = 25%
2/4 = 50%
3/4 = 75%
4/4 = 1 = 100%
Please help what is the variable X?
Answer:
x= -7
Step-by-step explanation:
-3x -5 = 16
+5 +5
-3x = 21
divide by negative three on both sides to get your answer
-10(-3m-10)-3(-8m+3)
Select all correct ways of factoring
−4x − 12.
Answer:
-4(x+3)
Step-by-step explanation:
Answer:
4(3−x)
Step-by-step explanation:
−4x+12
Factor out 4.
4(−x+3)
Lydia buys 2 donuts. She cuts them up and shares them equally between 4 plates. What fraction of a donut goes on each plate? (2 points)
four over one donut
four halves donut
one fourth donut
two fourths donut
Answer:
The answer is four halves donut i believe
Step-by-step explanation:
What are the solutions of x2+4x=9?
Question 3 options:
−2±13−−√
−2±413−−√
−4±213−−√
−4±13−−√
Answer:
−2±13−−√
Step-by-step explanation: one answer for sure
Answer:
−2±13−−√
Step-by-step explanation:
11(7+4)=__•7+11•__
Help pls
Horatio has 230 dollars to be used only on his car. He wishes to save 160 of this money and spend $24.95 on an oil change. Horatio knows that gas costs $3.81 per gallon. Which of the following shows how many gallons of gas (g) he could buy? 3 needed.
A. g ≤ 11.82
B. g ≤ 60.37
C. 3.81 ≤ 45.05
D. 3.81 ≤ 230 + 160 + 24.95
E. 160 + 24.95 + 3.81 ≤ 230
F. 184.95 + 3.81g ≤ 45.05
I'd be greatly thankful if you told me the answers!
Answer:
g<_11.82
3.81<_230
160+24.95
so, ade
Step-by-step explanation:
A forest has 6500 trees.
The trees are beech or maple.
number of beech : number of maple = 1.6:1
(a) What fraction of the trees are beech?
Answer:4000
Step-by-step explanation:
Given
There are a total of 6500 trees
The ratio of beech and maple is [tex]1.6:1[/tex]
So, no of beech are [tex]\frac{1.6}{2.6}\times 6500=4000[/tex]
no of maple are [tex]\frac{1}{2.6}\times 6500=2500[/tex]
with the water saver on (from #1) how many gallons of water would be used (60 minutes in an hour) long shower?
Step-by-step explanation:
60 minutos long shower -7.5,-220
Solve for x. −1/2x+1/3>3/5
Answer: x < -8/15
Step-by-step explanation: i took the test, I hope this helps! :)
Solve the attached work.
Find the length of the third side of a triangle that has a hypotenuse of 15m and a leg of 12m
Answer:
9m
Step-by-step explanation:
Which is the decimal form of 92125?
.736 is the decimal form of 92/125
PLEASE HELP!! good luck will be brought back to you ❤️Which statement about the triangles is true?
Lilly has $42 in her piggy bank. She
gets $10 from her grandmother to
buy candy at the grocery store. She
buys $3 worth of candy. She finds
some money in the street. She ends
with 75 dollars. How much money did
she find in the streets?
Answer: 26
Step-by-step explanation:
42+10= 52 , 52-3=49
75-49= 26
How do you change a table into a graph, and how do you know if it is additive or multiplicative graph?
Answer:
Click on insert, click graph, then make it to what u need
Step-by-step explanation:
hope this helps
The quotient of a number m and -3.2 is 15
"A number" represents the unknown.
"Quotient" means the total of a division problem.
Our equation is set up like this: M / (-3.2) = 15
(Optional) The answer is: -48 / (-3.2) = 15
M = (-48)