Use money sentences to simplify: -10-5

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:

Hey there!

17.834 rounded to the nearest tenth is 17.8

Let me know if this helps :)

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:

D. 1 m

Step-by-step explanation:

100 cm = 1 m

This is a conversion factor

The answer is D. 1m

100cm = 1m

This is a conversion that a lot of people use to convert meters to centimeters or centimeters to meters.

Best of Luck!

Answer:

help you solve what if you need help finish the question

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:

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:

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:

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:

mx-y=7

Step-by-step explanation:

mx-y

5*3-8

15-8=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:

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:

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:

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:

28 tickets were purchased

Step-by-step explanation:

Answer:

M<Jkl=45•

M<mkq+m<pkq=m<pkm

Pk is an angle bisector.

Step-by-step explanation:

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:

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:

in the pic

Step-by-step explanation:

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

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:

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:

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

Step-by-step explanation:

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.

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.

Learn more about equations from- https://brainly.com/question/10413253?referrer=searchResults

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