Mathematics High School

If f(x)=2x and g(x)=x^{2}-1, which statement is true?


a) 2x^{2}-1
b) 2x(x^{2}-1)
c) 4x-1
d) 4x^{2}-1

Answers

Answer 1
It is d 
...............................................

Related Questions

A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

The total weight of the container is given by:
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³

weight per cubic volume=0.33 pound per cubic ft

Total weight=354.375×0.33=116.94375 pounds~117 pounds 

The weight of the contents in the container, to the nearest pound, is 117 pounds.

To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.

Step 1: Calculate the volume of the container.

Volume = length × width × height

Volume = 13.5 ft × 10.5 ft × 2.5 ft

Volume = 354.375 cubic feet

Step 2: Calculate the weight of the contents.

Weight = Volume × Weight per cubic foot

Weight = 354.375 cubic feet × 0.33 pounds per cubic foot

Weight ≈ 116.8725 pounds

Rounded to the nearest pound, the weight of the contents is 117 pounds.

First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.

Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.

Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.

Complete question:

A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Solve the system of equations -4x + 3y = -2 y = x - 1

Answers

You can use the substitution method.
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)

The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.

What is the solution to the system of equations?

Given the system of equations in the question:

-4x + 3y = -2

y = x - 1

Solve the system of equations by substituting the expression for y from the second equation into the first equation:

-4x + 3y = -2

Plug in y = x - 1:

-4x + 3( x - 1 ) = -2

Simplifying, we get:

-4x + 3x - 3 = -2

Solve for x:

-x = -2 + 3

-x = 1

x = -1

Now, plug x = -1 into equation 2 and solve for y:

y = x - 1

y = -1 - 1

y = -2

Therefore, the solution is x = -1 and y = -2.


Learn more about system of equations here: brainly.com/question/30319215

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Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2

Answers

[tex]Use:\\\log_ax+\log_ay=\log_a(xy)\\\\\log_ax-\log_ay=\log_a\dfrac{x}{y}\\\\\log_ax^n=n\cdot\log_ax[/tex]

[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]

[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]

Answer:

25

Step-by-step explanation:

15 is 10 % of what number

Answers

15*10=150

15 is 10% of 150

Find the domain of the function :

Can you show the steps

Answers

a rational function must not have a denominator of 0, since that means the divisor is a 0 and there's no number whatsoever you can multiply it with 0 to get the dividend, the short version of all that is, the fraction is "undefined".

a domain for a rational is any values of "x" that are safe, namely will not make the denominator undefined, there are a few other constraints, but this is the only one in this case.

so, what values "x" cannot take on safely?  well, we can find out what makes the denominator to 0, by simply, yeap, you guessed it, zeroing it out, let's do so,

 [tex]\bf 5x+2=0\implies 5x=-2\implies x=-\cfrac{2}{5}[/tex]

so, if ever "x" becomes -2/5, our handy dandy fraction will go poof.

so the domain is all real numbers for "x", EXCEPT -2/5, or in Set Builder notation, {x | x ∈ ℝ; x ≠ -⅖}

Which equation is NOT true?

A. 15x + 55 = 6x + 4x

B. 15x + 55 = 26x

C. 25x + 55 = 180

D. m ∠S = 6x + 4x

Answers

Answer:

C

Step-by-step explanation:

Answer:

A. 15x + 55 = 6x + 4x

Step-by-step explanation:

Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.

If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?

Answers

x = smaller number
y = bigger number

y = 3x

x+y = 20
x+3x = 20
4x = 20
x = 5

The smaller number is 5.

Write a quadratic equation whose solutions are 2i and -2i.

Answers

are there any answer choices

Answer:

answer= 2i

Step-by-step explanation:


WILL GET BRAINLIEST

Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°

Answers

The angles should measure 180º.

5° + 75°+ 100° = 180°

10°+ 80°+ 90° = 180°

20° + 60° + 100° = 180°

45° + 45° + 45° = 135°

50° + 50° +  80° = 180°

So D does not represent interior angle measures of a triangle.

Hope this Helps!!

For bananas are to be selected from a group of seven in how many ways can this be done

Answers

Seven ways since there are 7 bananas but you said for

I need help

Simplify 4z2 + z2 + 6a.


4z2 + 7a


5z2 + 6a


3z2 + 6a


11az2



Answers

5z^2 + 6a

This is because there is an imaginary 1 in front of the second term that you have to remember to use when combining like terms. 

Which ordered pair is a solution of y = x + 12?
(24, 12)

(9, 21)

(–12, –24)

(0, –12)

Answers

the answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.
The (24,12) because 12 + 12 = 24

Please help due tomorrow! Math

Answers

The seats in the theater follows the sequence given by:
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2 
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5

Sin (2x -9)= Cos (x +30) to solve for x

Answers

A graphing calculator shows four (4) zeros of
  f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°

Solutions are x ∈ {23°, 129°, 143°, 263°).

_____
You can make use of a couple of trig identities to rearrange this equation.
  cos(x) = sin(x+90°)
  sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
  sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
  (3x +111°)/2 = n*180° +90°
  3x -69° = n*360°
  x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
  (x -129°)/2 = n*180°
  x = 129° +n*360° . . . . . for any integer n

Combined, these solutions give the ones listed above in the range 0..360°.

A rectangular wall has a length of 12ft and a width of 8ft. The wall has two rectangular windows. Each window has a width of 3ft and a height of 5ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window

Answers

The probability would be about 31%

Consider the following graph of a piecewise-defined function.

When x<-2, f(x)=

A: -3
B: 5
C: 2

When -2
A: x+2
B: 2x+2
C: 2x

When x>3, f(x)=

A: -3
B: 5
C: 2

Answers

From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: A: -3

Answer:

When x<-2, f(x) = 5

When -2<x<3, f(x)= 2x+2

When x>3, f(x)= -3

Step-by-step explanation:

brainly The point (−4, 2) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)

Answers

The tangent =  -2/4 = -1/2
The length of the hypotenuse = sqrt20 = 2 sqrt5
sine = 2 / 2 sqrt5  = 1 / sqrt5
cosine = -4 / 2 sqrt5  = -2/sqrt5

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Answers

rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]

[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]

What is the y-intercept of the line whose equation is y = x - 3?

Answers

Answer:

-3

Hope this helps! Please mark as brainliest.

please help asap 48 pts

Answers

The correct answer is B.
The correct answer is B

-2y multiplied by -2y = 4y^2
3x Times 5x = 15x^2
3x Times -2y = -6xy
-2y times 5x = -10xy
-6xy plus -10xy = -16xy

The Nichols family consists of 8 children and 2 adults. The family minivan can safely transport a total of 7 family members, including an adult driver.

Which number line illustrates the capacity of the Nichols minivan as an inequality?

Answers

For this case, the first thing we must do is define a variable:
 x: number of people who will use the family minivan.
 We have then:
 "The family minivan can safely transport a total of 7 family members, including an adult driver":
 x <= 7
 Answer:
 x <= 7
 A number line that illustrates the capacity of the Nichols minivan as an inequality is:
 option C)

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 160 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____ feet per second.

Answers

The Average rate of change of f(t) from t = 3 seconds to t = 5 seconds is - [tex]v_{avg} = -80\;ft/s[/tex]

We have a equation -

[tex]f(t) = -16t^{2} +48t+160[/tex]

that calculates the height of the ball from sea level in feet at different times.

We have to find the average rate of change of f(t) from t = 3 seconds to t = 5 seconds.

What is Average velocity?

The rate of change of displacement per unit time is called average velocity. Mathematically -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

We have -                      

[tex]f(t) = -16t^{2} +48t+160[/tex]

For time t = 3 seconds, f(t) is -

[tex]f(3) = -16(3)^{2} + 48(3) + 160\\f(3) = -144 +144 +160\\f(3) = 160\; feets\\[/tex]

For time t = 5 seconds, f(t) is -

[tex]f(5) = -16(5)^{2} + 48(5) + 160\\f(5) = -400+240+160\\f(5) = -400 + 400\\f(5) = 0 feet[/tex]

The formula for average velocity is -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

According to question -

[tex]t_{2} = 5s[/tex]    and     [tex]t_{1} = 3s[/tex]

[tex]d_{2} = f(5) = 0 feet[/tex]     and       [tex]d_{1} = f(3)=160[/tex]

Substituting the values in the formula of average velocity, we get -

[tex]v_{avg} = \frac{0 - 160}{5 - 3} \\v_{avg} = \frac{-160}{2\\} \\v_{avg} = -80\;ft/s[/tex]

Hence, average rate of change of f(t) from t = 3 seconds to t = 5 seconds is [tex]v_{avg} = -80\;ft/s[/tex].

To solve more questions on calculating the average rate of change of height with time, visit the following link -

https://brainly.com/question/22257105

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What is the answer for this equation?

36^-x+3=(1/216)^x+1

Answers

x=-9
also photomath is a good app to use for math ☺️
hoped this helped

the equation 3sinx+cos^2x=2 is solved below
Please help! Thanks!

Answers

we have that
3sin x+cos²x=2
3sin x+(1-sin²x)=2
-sin²x +3sin x=1
sin²x -3 sin x+1=0---------> up to here the procedure is correct
let
A=sin x
then
A²-3A+1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(A²-3A)=-1

Complete the square. Remember to balance the equation by adding the same constants to each side.

(A²-3A+2.25)=-1+2.25

Rewrite as perfect squares

(A-1.5)²=1.25

(+/-)(A-1.5)=1.12

first solution

(A-1.5)=1.12--------> A=1.12+1.5-----> A=2.62-----> sin x=2.62

second solution

-(A-1.5)=1.12----> -A+1.5=1.12----> A=1.5-1.12----> A=0.38---> sin x=0.38

the answer is

the equation was factored incorrectly

Its is b. hope this halps

The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?

Answers

Answer:

D

Step-by-step explanation:

doing the test right now

Item 11 Solve y=4x+8x for x.

Answers

Final answer:

To solve the equation y = 4x + 8x for x, isolate x by combining like terms on the right side and dividing both sides by 12. The solution is x = y/12.

Explanation:

To solve the equation y = 4x + 8x for x, we need to isolate x on one side of the equation.

We can start by combining the like terms on the right side:

12x = y

To find the value of x, divide both sides of the equation by 12:

x = y/12

So the solution to the equation is x = y/12.

Final answer:

To solve the equation y = 4x + 8x for x, combine like terms to get y = 12x and then divide both sides by 12 to find x = y/12.

Explanation:

The student's question requires us to solve the given equation for x. The original equation provided is y = 4x + 8x. To solve for x, we first combine like terms on the right side of the equation.

Combine like terms: y = 4x + 8x becomes y = 12x.Divide both sides of the equation by 12 to isolate x: x = y/12.

The solution for x is x = y/12. This is a straightforward algebraic manipulation that involves combining like terms and using division to solve for the unknown variable.

Select ALL the expressions that are equivalent to the polynomial below.
(4x+5)(-3x-1)
(-16x^2 + 10x - 3) + (4x^2 - 29x - 2)
3(x - 5) - 2(6x^2 + 9x + 5)
2(x - 1) - 3(4x^2 + 7x + 1)
(2x^2 - 11x - 9) - (14x^2 + 8x - 4)
(-15x^2 + 9x - 10) + (3x^2 - 10x - 5)
(4x^2 - 13x - 7) - (16x^2 + 9x - 5)

Answers

For this case we have the following polynomial:
 (4x + 5) (- 3x-1)
 Rewriting we have:
 -12x ^ 2 - 4x - 15x - 5
 -12x ^ 2 - 19x - 5
 The equivalent polynomials for this case are given by:
 (-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
 2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
 (2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
 Answer:
 (-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
 2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
 (2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
answers would be A D C

Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $7 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $770 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?

Answers

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation [tex] \left \{ {{x+y=65} \atop {14x+7y=770}} \right. [/tex], we find that y=20 hours, which is Jack's maximum working hours. 

Answer:

20

Step-by-step explanation:

Please answer ASAP!!! How many vertical asymptotes does the graph of this function have ?

Answers

Answer:

The answer is 1.

Got it from Apex

Step-by-step explanation:

quando o Ângulo de elevação do sol e de 70 a sombra de um edifício medes 20 cm calcule a altura do edifício
dados : sen 70=0,93 cos 70=0,3 e tg70=2,74?

Answers

Use x para a altura.

tg 70 = x/(20 cm)

x = 20 cm * tg 70

x = 20 cm * 2,74

x = 54,8 cm

Resposta: A altura do edifício é 54,8 cm.

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