The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
More about the function link is given below.
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Describe how you would solve -2x - 3 < 5
Answer:
x > -4
Step-by-step explanation:
-2x-3<5
+3 +3
-2x<8
/-2 /-2
x>-4
Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
Learn more about angle of elevation:
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find the side length of x . round your answer to the nearest hundredth of 11,14, x
Answer:
17.8
Step-by-step explanation:
use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer
use the vertex formula to find the vertex of the quadratic function f(x)=-x^2+6x-10
Answer:
15
Step-by-step explanation:
Answer:
I am sorry I can't help
Step-by-step explanation:
please forgive me
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?
Answer:
[tex]9d = 36[/tex]
Step-by-step explanation:
See attachment for complete question
[tex]Length = 36ft[/tex]
[tex]n = 10[/tex]
From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:
[tex](n - 1) * distance = 36[/tex]
Substitute 10 for n and d for distance
[tex](10 - 1) * d = 36[/tex]
[tex]9 * d = 36[/tex]
[tex]9d = 36[/tex]
Hence:
[tex]9d = 36[/tex] answers the question
Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?
Answer:
1 7/12
Step-by-step explanation:
The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12
Answer:37/12
Step-by-step explanation:
1/3+11/4=37/12
What is the value of sin 53° to the nearest ten-thousandth?
0.9325
O 1.4663
O 0.5314
O 0.7986
Answer:
Fourth option
Step-by-step explanation:
You can use a scientific calculator
Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.
12=8 minutes
24=16 minutes
36=24 minutes
48=32 minutes
Answer:
8 min in 12, 16 in 24, 24 in 36, and 32 in 48
Step-by-step explanation:
First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
Answer:
[tex]5+2*(7-4) =11[/tex]
Step-by-step explanation:
This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);
[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]
The answer to the first expression would be 45, which is not equal to 11.
The answer to the second expression would be 15, which is also not equal to 11.
The answer to the last expression is 11, so that is the correct answer.
Hope this helped :D
- Shay
In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
Can someone Answer this please!
Answer:
I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point
Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish
Answer:
Bobby Joe caught 34 fishes
Billy Ray caught 17 fishes
Step-by-step explanation:
Let the number of fish Bobby Joe caught = y
Let the number of Billy Ray caught = x
Total number of fish caught = 51 fishes
x + y = 51......... Equation 1
Billy Ray caught 17 fewer fish than Bobby Joe.
y = x - 17
Write an expression you can use to find out how many fish, f, each boy caught.
Substitute x - 17 for y in Equation 1
x + y = 51......... Equation 1
x + (x - 17) = 51
x + x - 17 = 51
2x = 51 - 17
2x = 34
x = 34/2
x = 17
Hence, Bobby Joe caught 17 fishes
x + y = 51
17 + y = 51
y = 51 - 17
y = 34
Hence, Billy ray caught 34 fishes
Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.
answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
Answer:
c
Step-by-step explanation:
(-10) + -7)
find each sum?
Answer:
-10 + (-7)= -17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
-10 plus -7 is -17
Help please
5w - w/x
When w = 6 and x = 2
Answer:
27
Step-by-step explanation:
5*6=30
6/2=3
30-3=27
[tex]5w - \dfrac{w}{x} [/tex]
Given:w=6
w=6x=2
Solution:Let's put value of w and x
→[tex]5 \times 6 - \dfrac{6}{2} [/tex]
Step 1:
→[tex]30 - 3[/tex]
Step 2:
→[tex]\purple{27✓}[/tex]
You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
Answer:
40 minutes is your answer
Answer: It will take a 1/2 hour or 30min to paint one full wall.
If C is a circles circumference and r is it’s_____,then C=2pi r. The_____of a circle can be found by taking the product of half the circumference and the radius
Answer:
r is the radius, area
Step-by-step explanation:
Good luck
Answer:
Step-by-step explanation:
The first blank is radius.
The circumference = 2 * pi * r
For the second answer, if you take 1/2 the circumference, you get pi * r
If you then multiply by r, you get pi * r * r
pi * r^2 = the area.
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
PLEASE TELL HOW YOU GOT THE ANSWER!!
Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
if y= 2x - 3, find the value of y when x=2
Answer:
y=1
Step-by-step explanation:
Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.
Simplify 3over-9/3over-12
Answer:
i got
[tex] \frac{4}{3} [/tex]
I may be wrong but if not mark brainliest
PLZZZ HELP< MY LAST ATTEMPT!
Answer:
A
Step-by-step explanation:
cos that's the midpoint
In equation form how would you write up 4 to the right 1
Answer: 1 + 4 = 5
Step-by-step explanation: To the right means to add, so 1 + 4 = 5.
Answer:
y=4x+b
Step-by-step explanation:
You said it was linear equations, so this would represent the slope (m)
y=mx+b
The original answer is 4/1 but that simplifies to 4 since for slope you can infer by yourself that it's 4/1 even when you just have 4 as the slope in the equation
I don't know the b but if you do, plug it in (b is the y-intercept)
Which is grater 1/2 2/3 1/4 5/6
Answer:
5/6 is the greatest, it is closer to a whole number
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
1/2 is only half
2/3 is very close
1/4 is not close at all
5/6 is the best answer
Multiply. Use the greatest common factor to write each answer in simplest form. 24 x 5/6
Answer:
120
Step-by-step explanation:
The common denominator of 24/1 and 5/6 is 6 so you multiply 24/1 by 6 which equal 144/6. Then you multiply 144/6 and 5/6 which equals 720/6. When you simplify it, it equals 120.
Simplify 72+3w2 - 29w-61w2 + 23w - 42.
Find the 87th term of this sequence: 157, 150, 143, ...
Answer:
[tex]\bold{a_{87}=-445}[/tex]Step-by-step explanation:
[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]
Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
Answer:
$0.90
Step-by-step explanation:
you would divide it by 5
$4.50/5=$0.90
hope this helps
brainliest?
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.