Point N is on line segment \overline{MO} Given NO=2NO=2 and MN=17,MN=17, determine the length \overline{MO}.

MO

.

30.

[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]

31.

[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]

32.

[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]

33.

[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]

Answer:

Yes, it is an arithmetic Sequence. Can you explain the question just a tad more

Step-by-step explanation:

Answer:

mx-y=7

Step-by-step explanation:

mx-y

5*3-8

15-8=7

the answer is B. $16.00 because when you do the math it comes up to 15.98

$6 is left with Megan.

An equation is a mathematical statement with equality sign in between two mathematical expressions.

Suppose she is left with $x.

Then as per the question

$45.12=$21.25+$7.89+$x

⇒$x=$15.98≈$16

Hence, Megan is left with $16.

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Answer: m = 7

7 x 2 = 14

idk anymore

Steps to solve:

m² = 14

~Take the square root of both sides

√m² = √14

~Simplify

m = ±√14

Best of Luck!

Answer:

1.05 meters

Step-by-step explanation:

To convert centimeters to meters, we need to divide the number by 100.

So 105/100= 1.05

Answer:

105 cm = 1.05 m

Step-by-step explanation:

For this problem, it is important to know metric conversions.  Metric conversions are based on powers of ten.  The prefix centi- means 100 (Like how a century is 100 years), and in the metric system is used to represent one-hundredths.

To convert 105 centimeters to meters, we need to divide by 10^2 or multiply by 10^-2 (both are the same).

So we can say the following:

105 cm * 10^-2  =  1.05 m

Hence, 105 centimeters is 1.05 meters.

Cheers.

Answer:

306 yd

Step-by-step explanation:

[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]

Hope this helps.

Answer:

yes it can be

Answer:

Step-by-step explanation:

1.33 and 1.3 are not the same, although they share the digits 1.3.

1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.

So:  1.33 and 1.3 are in the same ball park, but are not the same.

Answer:

A) on edge2020

Step-by-step explanation:

The greatest amount of time when they worked together is 2.4 hours.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Randy at most 4 hours to clean the offices.

Trey at most 6 hours to clean the offices.

If they work together, they will clean

1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together.

Thus,

5*x/12=1

5x=12

x= 12/5

x= 2.4 hours.

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Answer:

C. 1.36

Step-by-step explanation:

1.7 * 0.8 = 1.36

since there is not a whole serving it's less than 1.7

Answer:

I am not solving the questions from 1 to 8 , as they are only simple addition questions.

Answer:

Step-by-step explanation:

Answer:

multiply the number its self 3 times , for example 3x3x3=27 = 3^3

Step-by-step explanation:

Answer:

you have to multiply the number by itself 3 times

Step-by-step explanation:

can i get brainliest? i only need 2 more

Answer:

x = 53

Step-by-step explanation:

22 - 3 ( x - 70 ) = x + 20 Multiply out

22 - 3x + 210 = x + 20

22 + 210 - 3x = x + 20

232 - 3x = x + 20

232 - 3x + 3x = x + 3x + 20

232 = 4x + 20

232 - 20 = 4x + 20 - 20

212 = 4x

212/4 = 4x/4

212/4 = x

x = 53

Answer:

Step-by-step explanation:22-3(x-70)=x+20

22-3x+210=x+20

22+210-3x+3x=x+3x+20

232=4x+20

4x=232-20

X=53

sry but  hop now it's correct

hope that it's correct.plz comment on box if it's incorrect

Answer:

help you solve what if you need help finish the question

Answer:

3 5/6

Step-by-step explanation:

Step 1:

23/6 = 3 5/6

Answer:

3 5/6

Hope This Helps :)

Answer:

3 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

You multiply 6 and 3 and add 5. It will give you [tex]\frac{23}{6}[/tex]

Answer:

in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

Steps to solve:

50x + 25x - 10y

~Combine like terms

75x - 10y

Best of Luck!

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]

Step-by-step explanation:

[tex]50x+25x-10y[/tex]

Let's simplify this. First, we will combine the like terms.

[tex]50x+25x-10y[/tex]

Let's add parenthesis.

[tex](50x+25x)+(-10y)[/tex]

This equals to:

[tex]75x+-10y[/tex]

Hope this helps!

Answer:

87 11/14

Step-by-step explanation:

1,229 ÷ 14

It can also be written as

1,229 / 14

14 in 12 is not possible

14 in 122 is 8 remainder 10

The 10 remaining + 9 in the the given expression

14 in 109 is 7 remainder 11

The answer is 87 11/14

87 whole number 11 over 14

1,229 / 14 = 87 11/14

Answer:

Yes, we agree with her prediction.

Step-by-step explanation:

Given:

Number of sample student = 60

Number of total student = 600

Number of student plan to go college = 675

Sample of student plan to go college = 75%

Find:

Prediction is correct or not

Computation:

Number of student plan to go college in sample = 60 × 75%

Number of student plan to go college in sample = 45

Number of student plan to go college = Number of student plan to go college in sample [900 / 60]

Number of student plan to go college = 45[900 / 60]

Number of student plan to go college = 45[15]

Number of student plan to go college = 675

So,

Yes, we agree with her prediction.

Answer:

a=360

Step-by-step explanation:

3600 divided by 10 is 360

Answer:

80 + 30 n ≥ 250

Number of days = 5

Step-by-step explanation:

Given:

Total money = $250

Video tape cost = $35

1st day for camera ranting = $45

Additional daily cost = $30

Find:

Inequality

Number of days

Computation:

Assume number of days = n

So,

35 + 45 + 30 n ≥ 250

80 + 30 n ≥ 250

30 n ≥ 170

n = 5 days

Number of days = 5

Answer:

Hey there!

17.834 rounded to the nearest tenth is 17.8

Let me know if this helps :)

Answer:

28 tickets were purchased

Step-by-step explanation:

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

Answer:

For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)

Step-by-step explanation:

The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.

Answer:

-6

Step-by-step explanation:

3x+x+4=-20

4x+4=-20

4x=-24

x=-6

Answer:

The correct option are;

f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative

Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

Step-by-step explanation:

For the equations f(x) = x² - 4 and g(x) = x - 3, we have;

(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5

At x = 2, we have;

(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3

Similarly, we have;

(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7

At x = 2, we have;

(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3

Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;

a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative

(f ο g)(2) = (g ο f)(2)

Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

(f ο g)(x) = f(g(x)) = 4·x²

(f ο g)(x) = 4·x²

(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²

(g ο f)(x) = 16·x²

∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²

(f ο g)(x)  ≠ (g ο f)(x) the function is not commutative.

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Answer:

yes

Step-by-step explanation:

so you don't get wet