Which of the following are the appropriate LaTeX: f\left(x\right)f ( x ) and LaTeX: g\left(x\right)g ( x ), for LaTeX: H\left(x\right)=\cos\left(2x^2-1\right)H ( x ) = cos ⁡ ( 2 x 2 − 1 ) for LaTeX: H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = ( f ∘ g ) ( x )? Group of answer choices

Answers

Answer 1

Answer:

[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]

Step-by-step explanation:

We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]

                          [tex]=\cos\left(2x^2-1\right)[/tex]

And   [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]

        [tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]

Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex]   and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]

     


Related Questions

Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnson Elementary collected 9,987 cans of food, while students at Lincoln Elementary School collected 12,462 cans of food. How many cans of food did students at Richardson Elementary School collect

Answers

Answer:

6,845 cans

Step-by-step explanation:

Total of 29,294 cans of food to donate to a local food bank

Students at Johnson Elementary collected 9,987 cans of food

Students at Lincoln Elementary School collected 12,462 cans of food.

Total number of food can collected =

Food cans at Johnson Elementary + Food cans at Lincoln Elementary +

Food cans at Richardson Elementary

The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )

= 29,294 cans - (9,987 + 12,462) cans

= 29,294 cans - 22,449 cans

= 6,845 cans

Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans

A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?

Answers

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by distance needed to travel by the speed

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore the final answer is 12.5 hours

I hope this helps :)

solve for x: -30=5(x+1)

Answers

Answer:

x= -7

Step-by-step explanation:

30 divided by 5 = 6 and -7+1 - 6 -6x5=-30

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

-30/5= x+1

-6=x+1

-6-1=x

-7=x

x=-7

Estimate.
15 = 2.57 ~

Answers

Answer:...............................

Answer:

5.83

Step-by-step explanation:

the largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. How much larger is a teramtere

Answers

Answer:

A terameter is 10²⁴ times larger than a picometer.

Step-by-step explanation:

Here is the complete question:

The largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. how much larger is a terameter than a picometer.

Step-by-step explanation:

1 tera = 10¹² and

1 pico = 10⁻¹²

To determine how much larger a terameter is than a picometer, we will divide the value of 1 terameter by the value of 1 picometer.

1 terameter = 10¹² meters and

1 picometer = 10⁻¹² meters

1 terameter / 1 picometer = 10¹² / 10⁻¹²

= 10¹²⁻⁽⁻¹²⁾

= 10¹²⁺¹²

= 10²⁴

Hence, a terameter is 10²⁴ times larger than a picometer.

I need the answer now. Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} (5 points)

Answers

Answer:

x=4

Step-by-step explanation:

at x=4

[tex]4(4)+2=18\\16+2=18[/tex]

Answer:

4

Step-by-step explanation:

bc 4 times 4 is 16 plus 2 is 18

HELP HELP HELP NOW!!!

Answers

Answer:

The 3rd one

Step-by-step explanation:

I think

Answer:

it's the last one

'the slope of ab is different than the slope of BC

Step-by-step explanation:

Find the image of (-3,5) reflected across the x-axis

Answers

Answer:

(-3,-5)

Step-by-step explanation:

Just flip the points over the X-Axis.

Please Help me Asap i really need you help
I will give brainliest

Answers

Answer:

A. 32

Step-by-step explanation:

measure the 32 line then put the measurement on to of the 32 line the same way

hope this helps and feel free to give brainiest

Answer:

its a 32 trust

Step-by-step explanation:

Bob opened a savings account with $115. He now saves$35 a month(x). Write an equation representing how much money (y) Bob has in his savings account.

Answers

Answer:

y=115+35x

Step-by-step explanation:

Y=115+35x I hope this helped

[tex]5x^{2} + x-7=[/tex]

Answers

Equation: [tex]5x^2+x-7[/tex]

Since there aren't any like terms and it can't be factored, your answer would be:

[tex]5x^2+x-7[/tex]

Hope this answer helped you!

Solve for x and find the measure of

Answers

Answer:

C

Step-by-step explanation:

180 - 42 - 38 = 100

please help me please please

Answers

Answer:

y=-1/2x-4  

Step-by-step explanation:

divide other side by 2

y=-1/2x-8/2

y=-1/2x-4  this is slope-intercept form which is y=mx+b

2s + 4 = 20

s = what

Answers

the answer is 8 you’re welcome :)
The answer to your question is 8

What is 20 increased by 50%

Answers

Answer:

30.00

Step-by-step explanation:

20 Increased By 50% Is 30.00

Answer:

30

Step-by-step explanation:

20 divided by 2 = 10 + 20 = 30

2(n+5)= -2 pls help this urgent pls

Answers

Answer:

-120 = N

Step-by-step explanation:

Find the surface area of the square pyramid

Answers

Answer:

341 m²

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 11 m

side height length = 10 m

Surface area = 11² + 2(11)10

                     = 121 + 220

                     = 341 m²

Find the perimeter of this semi-circle with diameter,
d
= 32cm.
Give your answer as an expression in terms of
π
.

Answers

Answer:

let the

radius = diameter/2= 32/2= 16cm

now

perimeter of semi circle = 1/2×22/7×r

= 1/2×22/7×16

= 25.14cm

hence perimeter of semi circle is 25 .14cm

2.
Find x
4x+5
10x-40
6x+5
X=
FIND X?!??

Answers

Oh yeah lol I did it on yesterday and

I'm not too good at Math PLZ HELP...

What is the rule for the function that is graphed?



• y = 2x
• y = 3x + 2
• y = 2x + 2
• y = x – 2

Answers

Answer:

I am not fully sure, but I believe y=3x+2 as for on the x axis it is on -1 and going up 2 times and one to the right it will give you the y axis part which is 2 and you nade 3 moves so it is 3x for the moves and 2 for y.

Answer:

y = 2x + 2

Step-by-step explanation:

i did the exact same question on an assignment and got it right!:)

Which linear equation is modeled by the graph?

A)-2x-3y=15
B)2x-3y=-15
C)2x+3y=-15
D)2x-3y=15

Answers

C is the correct answer

The answer is option A. If you observe the graph carefully...you can observe that the slope is positive and the y-intercept is -5. But it doesn't match with any in the option. That means you have to simplify every equation. For that move the X values to the right hand side then move the coefficient of y to the right hand side...that should give you the solution. This will take time and one shouldn't spend time in mcq. To save your time....just play around with signs. You can get the solution directly. we can observe that the slope is positive and if we move the positive X values then we will be getting negative slope...which ain't meeting the condition....thus we have to move the negative X to the right hand side to have positive slope...thus option a is correct.


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Biologist tagged 700 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 1800. Estimate
the total number of rabbits in Bryer Lake National Park.

Answers

Answer:

210000 rabbits

Step-by-step explanation:

Ratio of tagged to non-tagged is:

6 : 1800 = 1 : 300

This is 300 non-tagged per 1 tagged

Since there are 700 tagged rabbits, the estimated number is:

700*300 = 210000

Which of the following geometric objects has a
measurable length?

Answers

Answer:

A. Line segment

Step-by-step explanation:

A line segment is measurable because it goes from point A to point B. So thus, answer A is correct.

Hope this helps!!

d-4=19 d=15 answer please

Answers

Answer:

I think the answer is 8

A person takes up 18 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 20 rows of bleachers, how many people can fit into the stands?

Answers

1,333.33 people can fit

The number of people who can fit into the stands in the stadium is 1,333 people

Number of people in the stadium

Space taken by each person = 18 inches

Length of a row of bleachers = 100 feet

Rows of bleachers = 20

Conversion of feet to inches

1 feet = 12 inches

100 feet = 1200 inches

Number of people per row = 1200 inches ÷ 18 inches

= 66.67 people

Number of people that fits the stand = Number of people per row × Rows of bleachers

= 66.67 × 20

= 1,333.4

Approximately,

1,333 people can fit into the stands in the stadium

Learn more about unknown number:

https://brainly.com/question/4344214

HELPPP PLEASEEE ASAPP

Answers

Answer:

1.7

Step-by-step explanation:

On a horizontal number line, -6 is located to the
left
of -4. So, -6 is
than -4.

Answers

less than? i believe

Answer:

less than -4

Step-by-step explanation:

Write an equation of a sphere with center ( 0 , 8 , 0 ) (0,8,0) , and with the sphere tangent to the plane with equation x

Answers

Answer:

[tex]\mathbf{ x^2 + (y-8)^2 +(z)^2 = 32}[/tex]

Step-by-step explanation:

Given that:

The center of the sphere = (0,8,0)

[tex]The \ equation \ of \ the \ tangent \ plane \ is:[/tex]

= x - y = 0

x = y

However, the radius of the sphere is equal to the perpendicular distance of the plane from the center.

As such, the radius [tex]r = \Big | \dfrac{ax_1 +by_1+cz_1}{\sqrt{a^2 + b^2 +c^2}} \Big |[/tex]

[tex]r = \Big | \dfrac{1*0 +(-1)*8+0*0}{\sqrt{1^2 + (-1)^2 +0^2}} \Big |[/tex]

[tex]r = \Big | \dfrac{-8}{\sqrt{2}} \Big |[/tex]

[tex]r = \dfrac{8}{\sqrt{2}}[/tex]

[tex]r = \dfrac{4 \times 2}{\sqrt{2}}[/tex]

[tex]r = 4\sqrt{2}[/tex] units

Thus, the equation of the sphere [tex]r^2 = (x -x_1)^2 +(y-y_1)^2 +(z -z_1)^2[/tex]

[tex]\mathbf{\implies x^2 + (y-8)^2 +(z)^2 = 32}[/tex]

Rewrite the exponential expression 25^3/2as a radical expression-
plss helpp

Answers

Answer:

[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]

Step-by-step explanation:

When we have a number to a fraction power, we need to note that

It's the same as taking the denominator root of the base to the numerator power

Basically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).

Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -

[tex]25^{3}[/tex]

[tex]\sqrt{25^3}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

25  3/2  If  n  is a positive integer that is greater than  x  and  a  is a real number or a factor, then  a  x  n  =  n

√  a  x

.  a

x  n

=  n

√  a  x  Use the rule to convert  

25  3  2  to a radical, where  a  = 25

,  x  =  3  and,  n  =  2 .

√25  3

The result can be shown in multiple forms.

Exact Form:  √25  3

Decimal Form:

125

How would you describe this pattern's rule? 65, 62, 59, 56, 53,50

Answers

You are subtracting 3 each time. (-3)

The rule of the pattern follows that each successive number is 3 lesser than the preceeding Value.

The first term = 65

Second term = 65 - 3 = 62

Third term = 62 - 3 = 59

Fourth term = 59 - 3 = 56

Fifth term = 56 - 3 = 53

Sixth term = 53 - 3 = 50

Therefore, each successive number is reduced by 3.

Learn more : https://brainly.com/question/18479471

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