The function g(x) is a mirror image of the function f(x), which means that f(x) was reflected over the y-axis. To do so, you have to invert the sign of the x-term of the function, symbolically:
\(h(x)=f(-x)\)The curve of the function is less pronounced, which indicates that the function f(x) was compressed horizontally, to do so, you have to multiply the x-term of the function by a constant with a value less than 1.
For example 1/2, then:
\(g(x)=f(-\frac{1}{2}x)\)The correct option is A
Express as a trinomial.
(3x + 7)(3x – 8)
9x^2 - 3x - 56
Step-by-step explanation:
(3x + 7)(3x – 8)
3x^2 -24x
+21x -56
9x^2 - 3x - 56
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
A rectangle flower bed had a total area of 21 square yards. If it was yards wide
how long was i?
The length of the rectangle with an area of 21 sq yards is 7 yards.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, The area of a rectangle is, (length×width).
Given, A rectangle flower bed had a total area of 21 square yards.
Therefore, (l×w) = 21.
Also given, That it is 3 yards.
Therefore, 21 = 3×l.
l = 21/3.
l = 7 yards.
Q. A rectangle flower bed had a total area of 21 square yards. If it was
3 yards wide how long it was?
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$7.00 × 20 = $140 in 40 hours
any helps !
Answer:
$280 in 40 hours!
(Just multiply)
Answer:
This is correct
Step-by-step explanation:
7.00 multiplied by 2 on both sides will give you an equivalent answer which is 140 and 40 hours. good job!
jackson is conducting an experiment for his physics class. he attaches a weight to the bottom of a metal spring. he then pulls the weight down so that it is a distance of six inches from its equilibrium position. jackson then releases the weight and finds that it takes four seconds for the spring to complete one oscillation. Which function best models the position of the weight?a. s(t) = 6cos(2πt)b. s(t) = 6sin(π/2 t)c. s(t) = 6sin(2πt)d. s(t) = 6cos (π/2 t)
6 cos(π/2 t) is the best model for the position of the weight.
The motion of the weight on the spring can be modeled by a sine or cosine function because it oscillates back and forth around its equilibrium position.
We know that, the weight is initially pulled down 6 inches from its equilibrium position, so the function should have an amplitude of 6.
The time it takes for the spring to complete one oscillation is 4 seconds, so the period of the function is 4 seconds.
The general form of a sine or cosine function with amplitude A and period T is:
f(t) = A sin(2πt/T) or f(t)
= A cos(2πt/T)
Substituting the given values,
we get:
f(t) = 6 sin(2πt/4) or f(t)
= 6 cos(2πt/4)
Simplifying, we get:
f(t) = 6 sin(π/2 t) or f(t)
= 6 cos(π/2 t)
Therefore,
the function that best models the position of the weight is
s(t) = 6 cos(π/2 t).
So, the answer is option (D).
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Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p)
Find a polynomial function with real coefficients that has the given zeros:
2, 5 + i
By the complex conjugate root theorem, there must also be another zero - \(5-i\).
Therefore
\(f(x)=(x-2)(x-(5+i))(x-(5-i))\\f(x)=(x-2)(x-5-i)(x-5+i)\\f(x)=(x-2)((x-5)^2+1)\\f(x)=(x-2)(x^2-10x+25+1)\\f(x)=(x-2)(x^2-10x+26)\\f(x)=x^3-10x^2+26x-2x^2+20x-52\\f(x)=x^3-12x^2+46x-52\)
In the equation »+2, 2y2-y+3
y-2
the value of a is:
y+1' 32-1
y-1
02
01
04
Answer:
jajaja que no te he buscado en mi hija pero si
Karen is solving the quadratic equation shown below x2+12x-1=0 x2+12x-1+1=0+1
The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:
\(x = -6 \pm \sqrt{37}\)
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are given as follows:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)In which:
\(\Delta = b^2 - 4ac\)
For this problem, the equation is given by:
x² + 12x - 1 = 0.
The coefficients are:
a = 1, b = 12, c = -1.
Hence:
\(\Delta = 12^2 - 4(1)(-1) = 148\)\(x_1 = \frac{-12 + \sqrt{148}}{2}\)\(x_2 = \frac{-12 - \sqrt{148}}{2}\)Since \(\sqrt{148} = 2\sqrt{37}\), the solutions are given as follows, simplifying by 2:
\(x = -6 \pm \sqrt{37}\)
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find the slope of the tangent line to the curve y at x. then write the equation of this tangent line. question content area bottom part 1 the slope of the line tangent to the curve y at x is 36. part 2 the equation of the line tangent to the curve y at x is y minus y equals 36 (x minus 3 ).
the equation of the line tangent to the curve y at x = 3 is y = 36x - 102. The slope of the tangent line to the curve y at x = 3 is 36.
The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:
y - y = 36(x - 3)
y = 36x - 102
So the equation of the line tangent to the curve y at x = 3 is
y = 36x - 102.
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Jack covers his ears when he hears a loud sound. Which statement is correct?
Answer:
correct answer is 3
Step-by-step explanation:
Answer:
3. Jack's central nervous system instructs his hand muscles to move towards his ears. (I got this right on my test)
Step-by-step explanation:
Because of this, we can say that in the case shown in the question above, Jack's central nervous system instructs the muscles of his hands to move toward his ears when he heard a very loud noise.
When (5x-6)(3x^2 - 4x - 3) is multiplied, how many terms are there before combining like terms?
Answer:
1
Step-by-step explanation:
If a deer runs 30 mph and a Bison runs 3520 ft per minute which one is faster ?
Answer
Bison
Step-by-step explanation:
What is mortgage of a 400000.00 loan at 6% 30 year fixed
9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
PLEASE HELP ME!,, I do not understand this at all:(
y=-x+6 is the perpendicular equasion
the original one is y=x+6
to find a perpendicular slope you basically take the opposite in this case
so the answers should be
x
-x
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Are The Ratios 2:4 and 1:3 equivalent?Yes or No
The ratio 2:4 is equivalent to and 1:3 if both numbers are obtained by the same multiplication:
Since
1 x 2 = 2 and
3 x 2 = 6 (instead of 4)
then they are NOT equivalent
Please help it doesnt make sence
Answer:
10 + 9 + 0.06 = 19.06
Can you please find and solve the unknown variable.
The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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A large bag contains 7/12 pounds of nails. How many 1/8 pound bags can be filled with this amount of nails?
Answer: 4 bags
Division is nessacery
7/12 divide by 1/8= 4.6666667
Full bags will be 4
Step-by-step explanation:
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
How to determine the possible rectangle's length and width?The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
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Possible question
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 Select one: a. −1 b. 0 c. x can be any number as there are infinitely many solutions to this system d. There is no x value as there is no solution to this system
Answer:
D. There is no x value as there is no solution to this system
Step-by-step explanation:
2x − 3y = 3 5x − 4y = 4
5x - 4y = 4 -4y = -5x + 4 y = 5/4x - 1
2x - 3(5/4x - 1) = 3
2x - 15/4x + 3 = 3
-7/4x = 0
x = 0
Find the perimeter of the trapezoid
Answer:
49.416407865
Step-by-step explanation:
30cm
20cm
20cm
40cm
Find the area.
Answer:
where's the figure????
The Blue Knights soccer team is practicing kicking the soccer ball into the goal. To begin, each player attempts kicks for 2 minutes and then reports the fraction of goals they made. Brad, Alice, and Andre report the following fractions: Player Goals Made Brad 4 5 Alice 1 2 Andre 4 6 Graph each fraction on a number line. 1. Which of these players made the greatest fraction of goal i don't know the answerr
According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.
How to identify the player who scored the most goals?To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.
According to the above, the divisions would be:
4 / 5 = 0.81 / 2 = 0.54 / 6 = 1.6According to the above, Brad was the one who scored the most goals.
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find the value of ...B
Answer:
b=–2
Step-by-step explanation:
we've got:
(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243
and we've also got the coefficient of x³ as –720
90b³=–720===> b³=–8===> b=–2
basic triangle proofs
please help
Answer:
Step-by-step explanation:
Hope this helps u !!!
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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someone help please show work
Answer: m=18
Step-by-step explanation:
A rectangle is 5 feet long and (6x + 3y) feet wide. Which expression represents the area of the rectangle in square feet?
Please help.