Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Which answer describes the transformation of g(x) = log2 (x+3) + 1 from the
parent function f(x) = log2 x ?
A. It is the graph of f(x) shifted 3 units left and 1 unit up.
B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
D. It is the graph of f(2) shifted 3 units right and 1 unit up.
Answer: C
Step-by-step explanation:
Answer:
It is the graph of f(x) shifted 3 units left and 1 unit up.
Step-by-step explanation:
Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left. We can also assume that it shifts 1 unit up since it is + 1.
A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute
Answer:
8 heart beats per minute
Step-by-step explanation:
64/8
Which two numbers are exactly 10 units away from 5?
Q2) The number of people signed up for a bus trip increased from 32 to
45. What is the percent increase?
Answer:
45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%
Step-by-step explanation: Brainlest plzzz
What's 10.08 rounded to the nearest one?
Answer:
10
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
8
The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part. Give your answer as a completely
simplified exact value in terms of 7 (no approximations).
b
A
D
1
1
B
9 cm
You probably have a mistake in the highlighted field(s).
FInD THE PERIMETER
Answer:
18+9pi
Step-by-step explanation:
Area of square minus area of the circle
Answer:
WHAT WAS THE ANSWER TO 9A PLEASEEEEE
Step-by-step explanation:
Why are STEM careers important now? Have you seen this in your school?
Answer:
they are important because most of everyday life jobs revolve around the stem careers.
Brayden has a triangular flag hanging in his room. What is the area of the flag? *
Answer:
if you want the base and the height you have to give me number or do you want the formula ?
Ashley is buying her husband new video games for his PS4. The new Call of Duty and Madden Football is a total of $98.35. How much does each game cost if they cost the same amount?
Answer: $49.18
Step-by-step explanation:
$98.35 divided by 2 equals 49.175 if rounded it is $49.18
PRE CALC HELP 50 PTS
Answer:
[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]
B) is the right answer.
Answer:
B
Step-by-step explanation:
We want to solve the inequality:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]
First, we can add sec(x/3) to both sides:
[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]
Subtracting 4 from both sides yields:
[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]
And dividing both sides by 2 yields:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]
Therefore, we can graph the following two functions:
[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]
Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.
Jake got 12 questions correct on a 20 question test. What percent did Jake get correct
Answer:
2.4?
I'm not completely sure but I think that may be the correct answer.
(Edit) Oh it's not. It's 60%. Well ok.
(Edit 2) Thank you for letting me try-.
Answer:
60%
Step-by-step explanation:
We can set this up as the proportion is/of=%/100. So,
12 = %
20 100
First, multiply across with 12x100. 12x100=1,200.
Now, divide 1,200 by 20. 1,200/20=60
Jake got 60% on the test.
Hope this helps!! Have a nice day .,.
Help me out with this question (geometry)
Answer:
I believe the answer is 32 degrees. The reason I believe this is because the line VP splits the whole angle and at the right end of the line, closest to letter P both sides make the new two triangles right angles. This leads me to believe that the line VP splits the triangle equally into two parts which means both angle 2 and angle 1 would have to add up to 64 degrees.
Step-by-step explanation:
Lena has three cups of milk in a refrigerator she needs 1/3 of a cup of milk to make a BATCHES of 6 cupcakes how many cupcakes will need to be able to make with that amount of milk in the refrigerator
Answer: Lena will be able to make 54 cupcakes.
Step-by-step explanation:
If 1/3 cups has t make 6 cups , then we can set up a proportional relationship and find out how much 3 cups of milk can make.
[tex]\frac{1/3}{3} = \frac{6}{x}[/tex] Cross multiply
1/3x = 18 Multiply both sides by 3.
x = 54
Choose the expression equivalent to 3(x + 10)?
Answer:
3x+30
Step-by-step explanation:
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Simplify -2(8a + 6) + 10a
Answer:
The correct answer is,
[tex] - 6a - 12[/tex]
Answer:
-6(a+2)
Step-by-step explanation:
-2(8a + 6) + 10a
-16a-12+10a
The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months
Answer:
See belowStep-by-step explanation:
DVDs
d = 925 - 12tBlu-rays
d = 507 + 26tSolve the system:
925 - 12t = 507 + 26t26t + 12t = 925 - 50738t = 418t = 418/38t = 11Number of disks sold in 11 months:
925 - 12*38 = 469There will be 469 DVDs and Blu-Ray discs sold per month in 11 months
On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.
Answer:
the average number of trucks per 5 hours is 3.750 trucks per 5 hours
Step-by-step explanation:
The computation of the average number of trucks per 5 hours is given below:
= Number of trucks passed ÷ time taken × given time
= 18 trucks ÷ 24 trucks × 5
= 3.750 trucks per 5 hours
Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours
The same is to be considered by applying the above formula
Pls help extra points and mark brainlist easy reading
Answer:
A should be the answer pls brainliest
Step-by-step explanation:
PLEASE HURRY I'LL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Bo, Mike, and Cat are playing a game involving decimals in math class. So far, they have scored 100.2 points combined. Bo scored 38.65 points and Mike scored 29 points. How many points did Cat score?
A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
How many points did Bo score, as represented by A?
Who scored 29 points, as represented by B?
How many points did the 3 players score all together, as represented by C?
What will the answer to the question be?
Answer:
67.65
Step-by-step explanation:
Answer
cat scored: 38.65+29=67.65
100.2-67.65=32.55#
bo 29 marks
Step-by-step explanation:
4x - 3y = 11
2x - 5y = 25
solve using elimination and substitution method
Answer:
hope it helps forget about my writing
Answer:
(-1.43, -5.57)
Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
-4x + 10y = -50
Next step we cancel out the x but adding both equations which would isolate the y:
7y = -39
y = -5.57
After finding y, plug it back into the equation to find x:
4x - 3(-5.57) = 11
4x + 16.71 = 11
4x = -5.71
x = -1.43
To ensure it is correct, we can plug it back into both equations:
4(-1.43) - 3(-5.57) = 11
2(-1.43) - 5(-5.57) = 25
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Answer:
C=12π
Step-by-step explanation:
C=2πr
Radius is half of Diameter.
C= 2π(6)
C=12π
Is (x-2) a factor of f(x) = (4x +13x +10)?
Answer:
Step-by-step explanation:
No but it is close. (4x +13x +10) factors into
(4x + 5)(x + 2)
So (x + 2) is a factor along with (4x + 5)
Help please extra points
Answer:
The answer to the question provided is letter c.
Need help on this one, can someone please answer this?
Answer:
quadrant 3
Step-by-step explanation:
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
Diana buys 7 cups of orange juice. Each cup of orange juice cost $0.81. How much does diana spend?
help pls
Answer: $5.67
Step-by-step explanation: Multiply
Answer:
$5.67
Step-by-step explanation:
Since Diana bought 7 cups of orange juice and each cost $0.81, you just need to multiply $0.81 by 7.
PLS HELP MEEEEEEE
140 raffel tickets were sold at a fundraiser. If the ratio of losing tickets to the number of winning tickets is 5:2, how many winners are there. SHOW YOUR WORK PLSSSSS
Answer:
down below
Step-by-step explanation:
5:2=5+2= there are 7 parts altogether
140/7=20 in each 1 part
losing=5
do 20 times 5=100 raffel tickets are losing
2 times 20 is the winning tickets=40 winning tickets
i hope i could help<3
Pls help extra points and mark brainlist
Answer:
Freetime!
Step-by-step explanation:
Leisure means happy place or a free space or in this case "Freetime"!