Find (f+g)(x).
f(x) = 1
-
x
g(x) = x^2 + 2x-5
Answer:
(f + g)(x) = x² + x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
Step 2: Solve
Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x): (f + g)(x) = x² + x - 5 + 1Combine like terms: (f + g)(x) = x² + x - 4A store purchases a shirt for $16.89. The store marks up the shirt by 20%. Right now, they are having a sale for 40% off any item. What is the sale price with a 7.25% tax?
Answer:
$13.04
Step-by-step explanation:
First, multiply 16.89 by 1.2, 0.6, and 1.0725. You should get a weird number on your calculator saying 13.042458, but just round 2 to the 4 ( 4 stays the same) and remove all the other numbers to get $13.04
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?
Answer:
2.5 liters of gas is used with per liter of oil
Step-by-step explanation:
Max is missing oil and gas for his moped.
Amount of gas used = 3.75 liters
Amount of oil required = 1.5 liters
Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]
= [tex]\frac{2.5}{1}[/tex]
That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters
Therefore, 2.5 liters of gas is used per liter of oil.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is
0.07 and the probability that the flight will be delayed is 0.19. The probability that it
will not rain and the flight will leave on time is 0.75. What is the probability that it is
raining and the flight is delayed? Round your answer to the nearest thousandth.
Step-by-step explanation:
P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19
= 0.013 (nearest thousandth)
Answer: 0.01
Step-by-step explanation:
the person above did it wrong, this answer is for sure correct.
can someone actually help me with this please!
Answer:
y = -2x + 7
Step-by-step explanation:
When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as
m1m2 = -1
Given the line
y = 1/2 x + 8
Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept
m = m1 = 1/2
Hence the slope of the perpendicular line m2
= -1/1/2
= -2
Given that the line passes through the points (1,5)
using the equation
y - y1 = m (x - x1)
y - 5 = -2(x - 1)
y = -2x +2 + 5
y = -2x + 7
Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars t years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
show work
Answer:
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
Does anyone mind helping me im confused-
Answer:
Malcolm owes the greatest amount.
Step-by-step explanation:
The question is asking for the amount owed by each person. That just means you take the absolute value of their bank balance if their bank balance is negative. Absolute value is just how far away the number is from zero (basically when a number is negative, you're just making it positive).
Sophia owes $150, Malcolm owes $325, and Oren owes $275.
325 > 275 > 150
Thus Malcolm owes the most, since his amount owed is the highest.
WILL GIVE BRAINLIST!!!
MAD (Mean absolute deviation) is always a negative number
True or False
Write an equation of the line that passes through a pair of points:
a. y = x + 3
b. y = x - 3
c. y = -x + 2
d. y = -x-2
Answer:
C. y = -x + 2
Step-by-step explanation:
Sana nakatulong
Will the following variables have positive correlation, negative correlation,
or no correlation? Number of managers on staff at a restaurant and number
of waiters on staff
Answer:
Step-by-step explanation:
PLEASE HELP!! DON'T JUST TAKE POINTS :(
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
I think the most upright answer would be D
Step-by-step explanation:
LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answer is not 144 BTW. Thank you.
Answer: 140cm^3
Step-by-step explanation:
Please help!!! I’ll mark you as brainliest!!!!!!
0.138613961 as a percent rounded to the nearest tenth
Answer:
13.9% Approximately
HELP I WILL MARK BRAINLIEST
Answer:
the answer is A.
Step-by-step explanation:
Need help please. Thanks!
Answer:
Option 1: 4h
Step-by-step explanation:
perimeter of square = 4 × length
h × 4 = 4h
Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?
Answer:
SHe has walked 2 more miles more than the other person
Step-by-step explanation:
BRAINLIST. BRAINLIST. BRAINLIST. PLEASE HELP.
Answer:
1=140 2=9 3=19
Step-by-step explanation:
Answer:
1=140
2=9
3=19
Step-by-step explanation:
If 55 yards of dirt costs $825.00 what is the constant of proportionality?
Answer:$15 per yard
Step-by-step explanation: $825 divided by 55 = $15
the bearing of c from a is 210°
(i) find the bearing of B from A
(ii) find the bearing of A from B
if you could also solve the question above I'd be very grateful
I need it in at least 10 minutes so please answer it!! ♡♡
Answer:
(a) His speed when he runs from C to A is [tex]4.\overline {285714}[/tex] m/s
(i) The bearing of B from A is approximately 127.18°
(ii) The bearing of A from B is approximately 307.18°
Step-by-step explanation:
(a) The given parameters are;
The distance from A to B = 120 m
The speed with which Olay runs from A to B, v₁ = 4 m/s
The distance from B to C = 180 m
The speed with which Olay runs from B to C, v₂ = 3 m/s
The distance from C to A = 150 m
His average speed for the whole journey = 3.6 m/s
We find
The total distance of running from A back to A, d = 120 m + 180 m + 150 m = 450 m
The time it takes to run from A to B, t₁ = 120 m/(4m/s) = 30 seconds
The time it takes to run from B to C, t₂ = 180 m/(3m/s) = 60 seconds
Let t₃ represent the time it takes Olay to run from C to A
We have;
The total time it takes to run from A back to A = t₁ + t₂ + t₃
Therefore;
[tex]Average \ velocity = \dfrac{Total \ distance }{Total \ time} = \dfrac{d}{t_1 + t_2 + t_3}[/tex]
Substituting the known values for the average velocity, 'd', 't₁' and 't₂' gives;
[tex]Average \ velocity = 3.6 \, m/s = \dfrac{450 \, m}{30 \, s + 60 \, s + t_3}[/tex]
3.6 m/s × (30 s + 60 s + t₃) = 450 m
3.6 m/s × 30 s + 3.6 m/s × 60 s + 3.6 m/s × t₃ = 450 m
108 m + 216 m + 3.6 m/s × t₃ = 450 m
∴ 3.6 m/s × t₃ = 450 m - (108 m + 216 m) = 126 m
t₃ = 126 m/(3.6 m/s) = 35 s
The speed with which Olay runs from C to A, v₃ = Distance from C to A/t₃
The speed with which he runs from C to A = 150 m/(35 s) = 30/7 m/s =[tex]4.\overline {285714}[/tex] m/s
(i) The given bearing of C from A = 210°
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
∴ cos(A) = (b² + c² - a²)/(2·b·c)
Where;
a = The distance from B to C = 180 m
b = The distance from C to A = 150 m
c = The distance from A to B = 120 m
We find;
cos(A) = (150² + 120² - 180²)/(2 × 150 × 120) = 0.125
A = arccos(0.125) ≈ 82.82°
The bearing of B from A ≈ 210° - 82.82° ≈ 127.18°
The bearing of B from A ≈ 127.18°
(ii) The angle, θ, formed by the path of the bearing of A from B is an alternate to the supplementary angle of the bearing of B from A
Therefore, we have;
θ ≈ 180°- 127.18° ≈ 52.82°
The bearing of A from B = The sum of angle at a point less θ
∴ The bearing of A from B = 360° - 52.82° ≈ 307.18°
The bearing of A from B ≈ 307.18°.
SOMEONE PLEASE HELP ME!
Answer:
A
Step-by-step explanation
A cube with an edge of length s has a volume of 27 units.
What is the length of s?
Answer:
s = 3
Step-by-step explanation:
The volume formula for a cube is V = s^3, where “s” is the edge length. Since we know the volume and need to find “s,” we just do the inverse operation for an exponent, which is a radical. The cubed root of 27 is 3, so there’s your answer! Hope this is helpful & accurate. Best wishes.
Donna bought 5 bags of dog treats for $13.10. What is the cost per bag of dog treats?
A. $18.10
B.$3.28
C.$2.62
D.$0.38
Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?
Answer:
10.2 cm
Step-by-step explanation:
Divide the tail length by 10
HoPe ThIs HeLpEd youuu! lol :)
Answer: 10.2 cm
Hope this helped! :D
What is the area of this tile
Answer:
12 in^2
Step-by-step explanation:
Answer: 12in^2
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + + 2)2 = 36
O x= -11 and x = 7
Ox= -7 and x = 11
O x= -5 and x = 1
Ox= -1 and x = 5
Answer:
x= -1 and 5
hope that helps
The solutions to the quadratic equation [tex]4(x+2)^2=36[/tex] are x = -5 and x = 1.
Given the following data:
[tex]4(x+2)^2=36[/tex]How to solve a quadratic equation.In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.
In Mathematics, the standard form of a quadratic equation is given by;
[tex]ax^2 + bx + c =0[/tex]
Where:
a = 4.b = 16.c = -20.Dividing both sides by 4, we have:
[tex]4(x+2)^2=36\\\\(x+2)^2=9[/tex]
Taking the square root of both sides, we have:
[tex]x+2=\pm3\\\\x=\pm 3-2[/tex]
x = -5 or 1.
Read more on quadratic equation here: brainly.com/question/1214333
Write the equation of a circle whose diameter is 12 and whose center is at (-6,-3)?
Answer:
(x +6)² +(y +3)² = 36
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
We have a circle with diameter 12, so its radius is 6. The center is given as (h, k) = (-6, -3), so the equation can be written ...
(x -(-6))² +(y -(-3))² = 6²
Simplifying this a suitable amount, we have the equation ...
(x +6)² +(y +3)² = 36
help needed for this question please
Answer:
11.72sq.m
Step-by-step explanation:
Area of the shaded region = Area o triangle - Area of the semicircle
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 6
Area of triangle = 3 * 6
Area of triangle = 18sq. m
Area of semicircle = πr²/2
r is the radius = 2m
Area of semicircle = π(2)²/2
Area of semicircle = 2(3.14)
Area of semicircle = 6.28sq. m
Area of the shaded region = 18 - 6.28
Area of the shaded region = 11.72sq.m
To find the area, multiply the area of the entire circle by __?
What number goes in the box.
Answer:
3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.
because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.
please help!
if a trail runner zig-zags 15m to the west and then 15m to the east:
what is the runner's total distance?
what is the runner's total displacement?
Answer:
Total distance = 30m
Total displacement = 0m
Step-by-step explanation:
a) Distance is a scalar quantity that does not specify direction
Hence if a trail runner zig-zags 15m to the west and then 15m to the east, the total distance will be the sum of the distance travelled both to the west and east.
total distance = distance through west + distance through east
total distance = 15m + 15m
total distance = 30m
Hence the runner's total distance is 30m
b) Displacement is a vector quantity and it specifies direction. Hence we will take into consideration the direction taken
Since East direction is positive, the displacement through east is +15m
Since West direction is negative, the displacement through west is -15m
Total displacement = +15 - 15
Total displacement = 0m
Hence the runner's total displacement is 0m
Check if (1,6) is the solution to the system shown below
Answer:
no
Step-by-step explanation:
To determine if (1, 6) is a solution, substitute x = 1, y = 6 into the left side of both equations and if the value obtained equals the right side then it is a solution.
10(1) - 6 = 10 - 6 = 4 ≠ - 6
- 10(1) + 5(6) = - 10 + 30 = 20 ≠ 30
Then (1, 6 ) is not a solution to the system