(f + g)(x) = 2 x²+6x+2
What is composition of function?The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
Given function is:
f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x
So,
(f + g)(x)
= f(x)+g(x)
= 2x+2+2 x² + 4 x
=2 x²+6x+2
Hence, (f + g)(x) = 2 x²+6x+2.
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Seis menos el producto de cuatro y un numero x
La expresión matemática que representa la frase está dada por:
4x - 6.
¿Cuál es la expresión matemática que representa la frase?Vamos a resolverlo por partes:
El producto de cuatro y un numero x es dado por: 4x.Seis menos el producto es dado por: 4x - 6.Por lo tanto, la expresión es dada por:
4x - 6.
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A cone has volume 3 pi, If the cone's radius in r, then what is the height?
Answer:
The formula for volume of a cone is area of a circle times height, divided by 3.
Therefore volume is pi times radius squared times height, divided by 3.
V = (3.14)(14)^2 (14)/3
V = (3.14) (196)(14)/3
V = (3.14) (2744)/3
V = 8616.16/3
V = 2872.05333
to the nearest hundredth is 2872.05 cubic yards.
Step-by-step explanation:
If (x+3) is the factor of x3-6x2-11x+k then k is
[tex]f(x) = x^3 -6x^2 -11x +k \\\\\text{If (x +3) is a factor of f(x), then,}~ f(-3) = 0\\\\~~~~~~~f(-3) = 0\\\\\implies(-3)^3-6(-3)^2 -11(-3) +k = 0\\ \\\implies -27-54+33 +k=0\\\\\implies -48+k = 0\\\\\implies k = 48[/tex]
A function is given. h(t) = −t + 6/5 ; t = −3, t = 1
Answer:
h(-3) = 4.2 or 21/5
h(1) = 0.2 or 1/5
Step-by-step explanation:
Plug in -3 for t.
-(-3) + 6/5 = 4.2 or 21/5
Plug in 1 for t.
-(1) + 6/5 = 0.2 or 1/5
Which of the following represents the diameter of the circle below?
Answer:
xy represents the diameter
Find the lateral area of the solid figure.
24√3
8√3
12√3
Answer:
Option C. 12√3
Step-by-step explanation:
Lateral area of the solid figure will be = 3×(one lateral side )
Area of a lateral side of the given triangle = (1/2) × (height) × (Base)
Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3
Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3
Therefore lateral area of the solid figure = 3×(4√3) = 12√3
Supposea triangle has sides 3, 4, and5. Which of the following must be true? OA The triangle in question is not a right triangle. OB. The triangle in question is a right triangle. Oc.The triangle in question may or may not be a right triangle.
Answer: B. The triangle in question is a right triangle.
Reason:
The sides are
a = 3b = 4c = 5Plug them into the equation below and simplify both sides
[tex]a^2+b^2 = c^2\\\\3^2+4^2 = 5^2\\\\9+16 = 25\\\\25 = 25\\\\[/tex]
Therefore, we have a right triangle. For more information, check out the converse of the pythagorean theorem.
You want to exchange £750 for euros. These are the currency exchange rates from 3 different sources. Company Exchange rate Travel Exchange 1.1065 Phoenix Financial 1.1050 Money Matters 1.1075 Which gives you the best value for money?
Money Matters is the best value for money for £750 they are giving 806.25 euros.
What is Money exchange?Customers can exchange one currency for another at a currency exchange, which is a licensed business.
The three agents are giving the money at different rates:-
Travel Exchange = 750 x 1.1065 = 798.75 Euros
Phoenix Financial = 1.1050 x 750 = 787.5 Euros
Money Matters = 1.1075 x 750 = 806.25 Euros
We can see that Money Matters is giving the best value for money.
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What is the volume ?
Answer:
V≈523.6
Step-by-step explanation:
Volume is V=4/3*pi*r^3 and radius is half of diameter
Answer:
523.67km^3
Step-by-step explanation:
[tex]volume \: of \: a \: sphere = \frac{4}{3} \: \pi \: r {}^{3} \\ radiu \: r = \frac{10}{2} = 5km \\ volume = \frac{4}{3} \times 3.142 \times 5 {}^{3} \\ volume = \frac{1571}{3} = 523.67km {}^{3} [/tex]
I need help with question 10
Answer:
C
Step-by-step explanation:
pythagorean theorem: a²+b² = c²
area of square = length²
c = side opposite right angle = length of square Z
thus, area of square Z = c²
area of square X = a² (or b², it doesn't matter)
area of square Y = b² (or a²)
a² + b² = c²
region x + region y = region z
the formula for the circumference of a circl is c = 2 nr determine the circumference when the radius r is 10 cm
Answer:
20π cm or approximately 62.8 cm
Step-by-step explanation:
» Concepts
The circumference of a circle is the distance, or perimeter, around a circle in a certain unit such as centimeters. The formula to find the circumference, as stated, it 2πr, where r = radius.
» Application
In this case, we're asked to find the circumference of the circle using the formula 2πr. We're also given the radius as 10 cm.
» Solving
[tex]2(10)\pi[/tex] [tex]20\pi[/tex] 20π cmor
[tex]2(3.14)(10)[/tex] [tex](6.28)(10)[/tex] [tex]62.8[/tex] 62.8 cmAnswer:
c=2nr
but r=10 and n=3,14
c=2(3,14)(10)
c=62,8
four times the quotient of 3 divided by 4
Step-by-step explanation:
Step 1: Convert words into an expression
Four times the quotient of 3 divide by 4
We know that we are going to be multiplying 4 by something because in the statement we have four times. Reading further we also know that we are going to be dividing 4 from 3 which means that we will have 3/4. Finally, we see that we multiply our 3/4 by 4 which gives us our final solution.
[tex]4 * (3 / 4)[/tex]
If we want to solve it the 4's would just cancel and we would be left with 3.
3
Explanation:
You would start by dividing 3 by 4. Then multiply [tex]\frac{3}{4}[/tex] and 4. The 4s would cancel out leaving you with 3.
[tex]\frac{3}{4}[/tex] × [tex]4=3[/tex]
Graph the line with slope 1/2
passing through the point (-4,1).
Answer:
from (-4,1) the line will go up to (-2,2) then (0,3)
Step-by-step explanation:
the slope 1/2 dictates that the line will go up by 1 unit for every 2 units, then we just plot said line from the point given (-4,1) where we go up y by 1 and we go left on x by 2
image could not be provided at this time, tho the line will have a slope that is between horizontal and increasing (to the left) at roughly 30 degrees ish
The temperature in a town is 35.2°F during the day and -24.5°F at night. Find the difference in the temperatures
Answer:
[tex]\huge\boxed{\bf\:59.7^{\circ}\:F}[/tex]
Step-by-step explanation:
Temperature during the day = [tex]35.2^{\circ}F[/tex]
Temperature at night = [tex]-24.5^{\circ}F[/tex]
Difference in the temperatures
= Temperature during the day - Temperature at night
= [tex]35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}[/tex]
Difference in the temperatures = 59.7° F
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A coin is tossed three times. The probability of getting two heads and a tail is
_.
Give answer as a fraction in lowest terms.
The coin is an illustration of probability, and the probability of getting two heads and a tail is 3/8
How to determine the probability?The sample space of tossing a coin three times is:
S = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
On the sample space, we have:
Two heads and a tail = 3
Sample size = 8
The required probability is then calculated using:
P = 3/8
Hence, the probability of getting two heads and a tail is 3/8
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Circle p has radius 8. Points Q and R lie on circle P, and the length of arc QR is 4pie. What is measure angle QPR in radians?
In the circle the measure of angle QPR in radians is π/4.
What is a circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
The length of the arc QR is 4π, which is 1/2 of the circumference of the circle P.
Therefore, the circumference of the circle is -
2πr = 2π(8) = 16π
The angle subtended by the arc QR at the center of the circle is therefore -
θ = arc length / radius
θ = (4π) / 8
θ = π/2
Now, consider the triangle QPR.
The angle QPR at the center of the circle is equal to twice the angle subtended by the arc QR at any point on the circumference of the circle.
Therefore -
2∠QPR = θ = π/2
Solving for ∠QPR, we get -
∠QPR = (π/2) / 2
∠QPR = π/4
Therefore, the measure QPR is π/4.
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Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
Answer:
141Step-by-step explanation:
Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
we use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(2 + 2)² + (2 + 3)³ =
4² + 5³ =
16 + 125 =
141
(5xy^2) (4x^8y^5)= what does it equal
Answer:
20x^9y^7.
Step-by-step explanation:
(5xy^2) (4x^8y^5)
= 5*4 x*x*8 y^2 *y^5
= 20x^9y^7.
original equation:
[tex](5xy^2)(4x^8y^5)[/tex]
when multiplying exponents, simply add the exponents of like bases.
[tex](5)(4)=20\\\\(x)(x^8)=x^9\\\\(y^2)(y^5)=y^7[/tex]
final answer
[tex](5xy^2)(4x^8y^5)=20x^9y^7[/tex]
How Much Time Does It Take From 7:25 To 3:15
Answer:
7 hours 50 minutes and
Step-by-step explanation:
7.833 hours 470 minutes 28,200 seconds
Concord Corporation sells its product for $7600 per unit. Unit variable cost are: manufacturing, $4400, and selling and administrative, $50. Fixed costs are: $14000 manufacturing overhead and $20000 selling and administrative. There was no beginning inventory at 1/1/21. Production was 20 units per year in 2021–2023. Sales were 20 units in 2021, 16 units in 2022, and 24 units in 2023. Net income under variable costing for 2023 is
The income under variable costing for 2023 for Concord Corporation is $73600.
How to calculate the net income?The formula to calculate the net income will be:
= Total sales - Total variable cost - Total fixed cost
= (7600 × 24) - (4400 + 50 × 24) - 2000
= 182400 - 106800 - 2000
= 73600
Therefore, the income under variable costing for 2023 for Concord Corporation is $73600.
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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 34% are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
Side AB is opposite which angle in triangle ABC?
Answer:
∠ACB
Step-by-step explanation:
we have three options for angles in triangle ABC:
- ∠CAB
- ∠ABC
- ∠ACB
∠ACB is the only angle out of the three given that doesn't directly touch side AB, so this must be our answer
A lock has a two digit numeric code, with the numbers 1 through 6 available for each digit of the code. Note that numbers can be repeated in the code, so there are 6 possibilities for each of the two digits. Find the total number of possible codes for the lock.
Elizabeth did a 1 hour workout 3 days a week for 5 months. How many total hours did Elizabeth workout?
Answer:
60 hours total
Step-by-step explanation:
1 hr x 3 days per week= 3 hrs a week
3 hrs x 4 weeks in a month =12 hrs a month
12 hrs ea month x 5 months = 60 hrs total
a) 3y = 43 + x
b) 8y + 5x = 61
Answer:
huh
Step-by-step explanation:
What is the value of 5x+3 when x=4?
A. 9
B. 12
C. 23
D. 60
Answer:
C. 23
Step-by-step explanation:
We substitue 4 for x then rewrite the expression as is
[tex]5(4)+3[/tex]
Then we solve [tex]5*4=20\\[/tex] [tex]20+3=23[/tex]
PLEASE HELP WILL GIVE BRAINLIEST 60 POINTS ∆PQR≅∆TUV. Find the missing measurements.
(PQ) = _______ (UV) = _______ m∠T= _______
m∠R= _______ (TV) = _______
m∠Q= _______ m∠U= _______
Answer:
(PQ) = (TU) (UV) = (QR) m∠T= m∠P
m∠R= m∠V (TV) = (PR)
m∠Q= m∠U m∠U= m∠Q
Step-by-step explanation:
Armando is a barber. He gets 40% of what each of his customers is charged. If the
customer leaves a tip, Armando gets 100% of the tip. How much does Armando earn on an
$8.50 haircut if the customer tips him $1.30?
Which points are on the graph of f(x)=2^x-3 Select each correct answer.(3, 1) (0, 1) (1, 3) (6, 8)
We can determine whether or not a point falls on the graph of a function by plugging its coordinates into the function equation.
If the right side is equal to the left side, the the equation is true, and the point does fall on the graph.
Solving the QuestionWe're given:
[tex]f(x)=2^x-3[/tex]Answer choices: (3, 1) (0, 1) (1, 3) (6, 8)(3, 1)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]1=2^3-3\\1=8-3\\1\neq5[/tex]
(3,1) is not on the graph.
(0,1)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]1=2^(0)-3\\1=1-3\\1\neq-2[/tex]
(0,1) is not on the graph.
(1,3)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]3=2^(1)-3\\3=2-3\\3\neq-1[/tex]
(1,3) is not on the graph.
(6,8)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]8=2^(6)-3\\8=64-3\\8\neq61[/tex]
(6,8) is not on the graph.
AnswerNone of the points are on the graph of the given function.
What is the probability of a customer buying a carrot at this store?
A 10%
B 19%
C 21%
D 27.5%
Answer: Its A
Step-by-step explanation:
