If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)?

Answers

Answer 1

These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3

Composite functions

These are functions inside another function. Given the following functions

m(x) = x^2 +3

n(x) = 5x +9

We are to solve for the function m(n(x))

m(n(x)) = m(5x+9)

Substitute 5x +9 into m(x) to have:

m(n(x)) = (5x+9)^2 + 3

Hence the resulting composite function is given as (5x+9)^2 + 3

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Related Questions


A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?

Answers

Answer:

63.62 inches squared

Step-by-step explanation:

The formula for the area of a circle is πr^2

r (Radius) is half of the diameter

r = 9/2

r = 4.5in

π x 4.5^2=

π x 20.25 = 63.6172512352

to 2 dp: 63.62 inches squared.

Answer:

The area of a plate with a diameter of 9 is 63.585

Step-by-step explanation:

A = πr²  use 3.14 as pi

r = [tex]\frac{1}{2}[/tex] d

[tex]\frac{1}{2}[/tex] × 9 = 4.5

r = 4.5

A = 3.14 × 4.5²

A = 3.14 × 20.25

A = 63.585

Hope this helps!

Find the solution to the equation below.

2x²+3x-20=0

Answers

Answer:

[tex]x=\frac{5}{2}[/tex]     or     x= -4

Step-by-step explanation:

To solve the quadratic equation, start by factorizing it.

[tex]2x^{2} +3x-20=0[/tex]

(2x -5)(x +4)= 0

Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.

2x -5= 0     or     x +4= 0

Solve for x:

2x= 5         or           x= -4

[tex]\bf{x=\frac{5}{2}}[/tex]

_______

Alternatively, the quadratic formula can be used to solve the equation.

[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]

This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].

Additional:

For an example on solving quadratic equations using the quadratic formula, do check out the following!

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Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll

Answers

Answer:

Your sentence got cut out or sum.

Step-by-step explanation:

I'm assuming it's asking: What is 150 out of 800?

If so:

150/800 --> 3/16

3/16 --> Percent Form: 18.75%

Final Answer: 18.75%

The sum of two integers is 9 and their product is 18. What are the integers?​

Answers

Answer:

The integers are 2.

Step-by-step explanation:

Answer: 3 and 6

Step-by-step explanation:

3+6=9

3x6=18

Which of the following correctly uses the Pythagorean Theorem to find the missing side ?

A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²

Answers

Answer:

C

Step-by-step explanation:

hyp² = opp² + adj²

10² = 8² + x²

Fine the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?

Answers

Answer: 4105.5

Step-by-step explanation:

The number of tickets sold in the previous year is 3723.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.

Therefore, the tickets sold in the previous year is:

4380 - 15% of 4380

= 4380 - 15×4380/100

= 4380 - 657

= 3723

Hence, the number of tickets sold in the previous year is 3723.

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Points P(-10,10) and Q(6,-2) give the diameter of a circle.

Determine the equation of the circle in standard form

Answers

B and if not there the answer.

The equation of the given circle with points  P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr²  and the perimeter of circle = 2πr where r is the radius of the circle.

Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).

Centre coordinate = midpoint of P(-10,10) and Q(6,-2).

Midpoint of P(-10,10) and Q(6,-2)  

[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )

Diameter of circle = length between P(-10,10) and Q(6,-2).

lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.

The equation of a circle with a center (-2,4 ) and diameter of 10 is given by

(x-2)² +(y-4)² = 10² hence it will be correct.

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Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]

Answers

Answer:

Step-by-step explanation:

Comment

18 factors into 2 * 3 * 3

Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.

The same rule applies to the two 3s that factor 18.

What you get is

3a√2 * 4*a*√3

Answer 12a^2 √2 * √3

Answer: 12a^2 * √6

A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?

Answers

Answer:

≈ [tex]44.4%[/tex][tex]%[/tex]%

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.

what is a foot plus 9 feet plus 20 feet equal too

Answers

Answer:

30 ft.

Step-by-step explanation:

1 + 9 + 20

= 30.

Answer: 30

Step-by-step explanation:

1. Simplify  1+9 to 10

10+20

2. Simplify
30

Done! Hope this helps.

Evaluate 1/4 c + 3d when c = 6 and d = 7

Answers

Answer:

SolutioN :

Just plug in the values of c & d in the given expression and calculate :

[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]

[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]

Our final answer is 45/2 .

--------------HappY LearninG <3 -------

           [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Evaluate 1/4c+3d when c=6, and d=7.

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

       Replace c with 6, and d with 7:-

     [tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]

[tex]\bigstar[/tex] On simplification,

   [tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

    [tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

     [tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]

[tex]\bigstar[/tex] Adding the numerators,

[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]

[tex]\bigstar[/tex] Finally, Reducing the fraction:-

[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]

[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.

Answers

Answer:

D

Step-by-step explanation:

5([tex]\sqrt{x}[/tex]) = 20 Divide  by 5

[tex]\sqrt{x}[/tex] = 4        Square both sides

x = 16

Widths can't be negative

Answer: D

Step-by-step explanation:

A = LW

[tex]\sqrt{x}[/tex] * 5 = 20

[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex]  (square both sides)

x * 25 = 400

25x = 400

[tex]\frac{25x}{25} = \frac{400}{25}[/tex]  (divide both sides by 25)

x = 16

[tex]\sqrt{16} = 4[/tex]

x = 16, and the width is 4.

someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?

Increase in price:

Price of next model:

Answers

Answer:

Step-by-step explanation:

1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.

Increase in price:

           = 53000 * 0.069

           = $3657

2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.

Price of next model:

           = 53000 + 3657

           = $56657

Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?​

Answers

Answer:

106 students

Step-by-step explanation:

If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10

and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls

=96+10= 106 students

⋆ ˚。⋆୨୧˚hope this helped˚୨୧⋆。˚ ⋆

If the diameter of a circle is 14 cm then find its 22 circumference. ​

Answers

Answer:

44cm

Step-by-step explanation:

Since, diameter d=14cm

C=πd= 22/7 ×14= 44cm

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house. how long does it take jasmin to rake leaves at the second house.

Answers

The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.


From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{6}[/tex]

[tex]= \rm 1\dfrac{1}{6}[/tex]

Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

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Which expression has a value of 20? 9 + 21 ÷ (3 + 2 × 5) (9 + 21) ÷ 3 + 2 × 5 9 + (21 ÷ 3 + 2) × 5 9 + 21 ÷ (3 + 2) × 5

Answers

Answer:

i don't now the answer so can you be more specific so i can help you

Step-by-step explanation:

Maybe this helps :}}}}}

Li has to read four books from a list of 10 books. how many sets of four books can be made?

Answers

Answer:

2 sets

Step-by-step explanation:

we have to divide 4 into 10...

so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.

Answer:

its 7 not 2

Step-by-step explanation:

because

im right

A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red

Answers

Answer:

15

----

153

15=6+3+1

153=18×17÷2

How to simplify the ratio of 40cm : 2m

Answers

I think it’s 1:5.

2m=200 cm
40 cm:200 cm =1:5

What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)

Answers

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

How to determine the complete factorization?

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:

Factor x2+4x−45 using the AC method. (x+9) (x−5)

Step-by-step explanation: so B

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?




7 inches
11 inches
15 inches
5 inches

Need help Bad

Answers

Answer:

D) 5 inches

Step-by-step explanation:

Given

A box with the volume of 150 in³

Dimensions of the box are

2, x and x + 10, where x- width, (x + 10) - length

The volume of the box is

V = lwh

Substitute the values and solve the equation for x

x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)

The width of the box is 5 in

Correct choice is D

help me please!!! i cant do these

Answers

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.

Answers

For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is  3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

What is the converse of a statement?

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have statement:

1. If two angles are both obtuse, the two angles are equal.

Converse: The two angles are equal if the two angles are both obtuse.

2. If 3 - 2x = 13, then x = -5.

Converse: x = -5 if the equation is  3 - 2x = 13

3. If 2 angles are supplementary, then they are not equal.

Converse: Two angles are not equal if 2 angles are supplementary.

Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is  3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

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You must really like math to want to answer this ngl

Answers

Answer:

a) 2/10

b) 3/20

c) option 2

Step-by-step explanation:

Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)

A. x=3
B. x=4
C.x=5
D. x-6

Answers

Answer:

(5,4)

Step-by-step explanation:

What is the solution of two function?

The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.

How do identify the solution via graph.

We can identify the solution of a system of equations via graph by looking at where the two functions intersect.

Identifying the solution.

Looking at the graph, the two lines intersect at (5,4)

The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)

The rule is

If two lines are graphed then their solution is their intersection point .

Here both f(x) and g(x) are intersecting at

(5,4)

So (5,4) is solution

Option C is correct

solve the simultaneous equation
5x + 2 Y = 8
and
X + y = 1
I need help ​

Answers

Answer:

5x+2y=8

2x+2y=2

subtract both eq.

3x-0y=6

3x=6

x=2

x+y=1

2+y=1

y= -1

Mala walks her dog 3 times a day.
Each walk 3/4 ismile
Which expression tells how many miles Mala walks her dog each day?

Answers

Answer:

3/4 x 3 (top right)

Step-by-step explanation:

one you selected is incorrect

Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?

Answers

I'm pretty sure it's water bro

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