Find f(x) and g(x) so the function can be expressed as y = f(g(x)). There may be more than one possible decomposition.
y = (x^3 + 1)^2
In the expression 12 + 7, the values on the right and left of the + symbol are called _____ .
In the expression 12 + 7, the values on the right and left of the + symbol are called operands.
What are operands?A mathematical object upon which an operator acts.
Given that, an expression 12+7,
In maths, the values that an operator acts on are called operands. In this case, 12+7 are the operands.
Hence, the asked statement is operands.
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Point M is the midpoint of LN. LM = 7x - 12 and MN = 3x + 16. Find LM.
A machine manufactures wheels with a diameter of 70 cm. It is acceptable for the diameter of a wheel to be within 0.02 cm of this value. Write and solve an absolute-value equation to find the minimum and maximum acceptable diameters.
To find the minimum and maximum acceptable diameters for wheels manufactured by a machine with a 70 cm diameter tolerance set within 0.02 cm, an absolute-value equation is used to determine the range of acceptable values.
The question is: A machine manufactures wheels with a diameter of 70 cm, and it can be within 0.02 cm of this value. To find the minimum and maximum acceptable diameters, we need to set up an absolute-value equation.
Let x be the diameter of the wheel.The absolute-value equation is |x - 70| ≤ 0.02.Solving this equation, the minimum acceptable diameter is 69.98 cm, and the maximum acceptable diameter is 70.02 cm.Which statements are true regarding the diagram
Answer:
A. AngleGNH and AngleHNJ are complementary.
C.AngleKNL and AngleLNM are complementary.
D.mAngleHNK + mAngleKNL = 180°
Step-by-step explanation:
Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
What is the y-value of P'?
Answer:
The answer is -10
Step-by-step explanation:
A pet-sitting company charges $25 to board a pet for one day. It also charges all customers an extra $7.50 to trim the pet's nails once per stay.
How much will it cost to board a dog for two weeks?
A.
$57.50
B.
$65.00
C.
$357.50
D.
$455.00
2 weeks = 14 days
14 * 25 = 350
350 + 7.50 = 357.50
Answer is C
Find the value of tan θ given cot θ=5/7.
If i was born in 2002 how old will i be in 2130
A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P
How many, and what type of, solutions does 6x2−2x+7=0 have?
A.) 2 nonreal solutions
B.) 2 irrational solutions
C.)2 rational solutions
D.) 1 rational solution
Answer:
Nope! The answer is 2 Nonreal Solutions i took the test! :)
Step-by-step explanation:
The given quadratic equation will have 2 nonreal solutions. The correct option is A.
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that the quadratic equation is 6x²−2x+7=0. The equation can be solved as below;-
6x²−2x + 7 = 0
The equation will have two non-real values for x. The correct option is A.
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The equation h(t)=−16t2+78t+45 gives the height of a firework, in feet, t seconds after it is launched from a platform. What is the height of the platform? Enter your answer in the box.
The height of the platform is 45 feet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation h(t)=−16t² +78t+45 gives the height of a firework
When a firework is launched from a platform, its height at time t=0 seconds is equal to the height of the platform.
To find the height of the platform, we can substitute t=0 into the equation:
h(0) = -16(0)² + 78(0) + 45
h(0) = 0 + 0 + 45
h(0) = 45
Therefore, the height of the platform is 45 feet.
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an angle's measure is twice the measure of its complement. the larger angle is how many degrees greater than the smaller angle.
The admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and how many adults attended that day?
The sum of two even numbers is even. the sum of 6 and another number is even. what conjecture can you make about the other number?
Answer: We can say that the other number is even since the sum of two even numbers is even.
The required conjecture is given as the other number must be an even number.
What is an even number?An even number is defined as a number that is a multiple of 2 is called even number, such as 2, 4, 6, 12, and so on.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
The sum of two even numbers is even. Following the statement,
If the sum of 6 and another number is even, that another number must be even to get the sum of 6 and another number to be even, while 6 it self is an even number.
Thus, the required conjecture is given as the other number must be an even number.
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24 divided by 2 find the qoutient
24/2 = 12
the quotient is 12
Answer: So your answer is 12 for 24 divided by 2 which gives you 12 I hope this helps
Step-by-step explanation:
24 divided by 2 = 12
12 times 2= 24
Or 2 times 12 = 24
Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 800 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.
Solve the triangle. A = 46°, a = 31, b = 27
To solve the given triangle with A = 46°, a = 31, and b = 27, we use the Law of Sines to first find angle B, then use the sum of angles to find angle C, and finally, use the Law of Sines again to find side c.
Explanation:To solve the triangle with the given information A = 46°, a = 31, and b = 27, we need to use the Law of Sines or the Law of Cosines. Since we have one angle and the side opposite to it (a = 31), as well as another side (b = 27), we first need to find angle B using the Law of Sines:
\frac{\sin(A)}{a} = \frac{\sin(B)}{b}
By solving for sin(B), we get:
\sin(B) = \frac{\sin(46°) * 27}{31}
Next, we calculate the value of sin(B) and then angle B. After that, we can find angle C by using the fact that the sum of angles in a triangle is 180°:
A + B + C = 180°
Once we have angle C, we can use the Law of Sines again to find side c:
\frac{\sin(C)}{c} = \frac{\sin(A)}{a}
By rearranging and solving for c, we get:
c = \frac{\sin(C) * a}{\sin(A)}
This process will give us the lengths of all sides and the measurements of all angles, thus solving the triangle.
Keiko runs 10 miles in 75 minutes. at the same rate, how many miles would she run in 69 minutes?
A basketball player scored 29 points in a game. The number of three-point field goals the player made was 29 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 15 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.
A-10 free throws; 1 two-point field goals; 8 three-point field goals
B-11 free throws; 8 two-point field goals; 4 three-point field goals
C-10 free throws; 9 two-point field goals; 3 three-point field goals
D-10 free throws; 8 two-point field goals; 1 three-point field goals
Answer:
,
Step-by-step explanation:
The answer is D)
In buffalo, New York, the temperature was -14F in the morning. If the temperature dropped 7F, what is the temperature now?
The initial temperature in Buffalo was -14°F. After a drop of 7°F, the new temperature would be -21°F.
Explanation:The student asked: In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now? To solve this, we need to perform a simple subtraction operation. We begin with the initial temperature of -14°F and subtract the temperature drop of 7°F.
The calculation is as follows:
Initial temperature: -14°F
Temperature drop: -7°F
New temperature: -14°F - 7°F = -21°F
Therefore, after the temperature drop, the new temperature in Buffalo would be -21°F.
After the temperature in Buffalo dropped by 7°F from an initial -14°F, the current temperature is now -21°F.
Explanation:In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, to find the current temperature, you subtract 7 from -14. This calculation is as follows:
Starting temperature: -14°FTemperature drop: 7°FCurrent temperature: -14 - 7 = -21°FTherefore, the temperature now in Buffalo is -21°F.
what number fills in the blank to complete the factorization of 3x+24?
Answer:
Complete factorization of 3x+24 is:
3(x+8)
Step-by-step explanation:
we have to completely factorize:
3x+24
Taking 3 common in the above expression
3(x+8)
This cannot be factorized further
Hence, complete factorization of 3x+24 is:
3(x+8)
Please answer me this equation
Simplify -4/7 + (-4/3)
D: Region D help please .....
What is the surface area of this cone ?
How many even numbers can be formed from the digits 1,2,3,4,5?
Math Help Please!!!
On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. The histogram shows the results. How many fans plan on attending fewer than 20 games?
Answer: 25
Step-by-step explanation:
Given : On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season.
In the given histogram , it can be seen that the number of fans attending fewer than 10 = 8
And the number of fans attending between 10-20=17
Then, the number of fans attending fewer than 20 games =[tex]8+17=25[/tex]
Therefore, 25 fans plan on attending fewer than 20 games
Which function grows at the fastest rate for increasing values of x?
p(x)=5x3+3
f(x)=8x2−3x
h(x)=2x
g(x)=19x
The function which has the fastest rate for increasing values of x are:
[tex]p(x)=5x^3+3[/tex]
Step-by-step explanation:We are given four polynomial functions as:
[tex]p(x)=5x^3+3\\\\\\ f(x)=8x^2-3x\\\\\\h(x)=2x\\\\\\g(x)=19x[/tex]
Now as we know that if the degree of the polynomial increases the function becomes more extreme i.e. it increases very quickly with the increasing value of x.
Hence, among the given options the function which has the fastest rate of increase is:
[tex]p(x)=5x^3+3[/tex]
( Since, it's degree is 3 which is highest as compared to the other polynomials (one of degree 2 and 2 of degree 1) )
If P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST
Answer:
ST = 16.
Step-by-step explanation:
Given : P is the midpoint of ST, SP = x + 4, and ST = 4x,
To find : Determine the length of ST.
Solution : We have given P is mid point of ST.
It mean P divide the ST in to two equal parts .
So, SP = PT .
We can say
ST = 2 SP .
Plug the given values SP = x + 4, and ST = 4x,
4x = 2 ( x +4).
4x = 2x + 8.
On subtracting both sides by 2x
4x -2x = 8.
2x = 8
On dividing both sides by 2
x = 4.
ST = 4 * 4 = 16.
Therefore, ST = 16.