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]
Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?
Set B= {even numbers} Set C= {multiples of 7}
_______ or ________
Enter answers from smallest to largest
Answer:
Hey there!
The numbers in set A and B are 14, and 42.
Let me know if this helps :)
Answer:
14 & 42
Step-by-step explanation:
Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.
There are 200 pupils in year 11.
125 are female, of these 68 have school dinners.
52 boys have school dinners.
Use this information to complete the frequency tree.
Answer:
Sbsnsndndndjjbsndmmdmddndndn
Step-by-step explanation:
Bsbsnsjsjskdkck
What is 7.96 repeating as a mixed number in simplest form
Answer:
Ion even know jus need points
Step-by-step explanation:
The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP
Answer:
[tex]length = \frac{25}{28} [/tex]Step-by-step explanation:
Let the length of the rectangle be l
Area of a rectangle = length × width
From the question
Area = 25/42
width = 5/6
Substitute the values into the above formula and solve for the length
That's
[tex]length = \frac{area}{width} [/tex]So we have
[tex]length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} [/tex]We have the final answer as
[tex] \frac{25}{28} [/tex]Hope this helps you
Please help. What is the answer to the Algebra 2 question
Answer:
(- ∞,1]
Step-by-step explanation:
If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)
Why might this information be important to Jack in the Box?
Answer:
They have the most sales on Thursdays, and the least sales on Friday, so they might want to have specials on Friday to get more people.
Is 7.87400787401 a rational or irrational number?
Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!
Answer:
Its the second one 4-(-8)
(-5)-9=
A.-19
B.-9
C.9
D.19
Answer:
-14 is the answer
cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14
Step-by-step explanation:
Please mark me as the brainliest. It really helps
Plz help! Ive been stuck on this for hours!!!!
Answer:
h[tex]\geq[/tex]8
Step-by-step explanation:
h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10
subtract 2 on both sides to get h[tex]\geq[/tex]8
En el Número 258.324, el 25 son de miles. ¿Es Verdadero o Falso?¿Por que?
Answer:
Ok amigo, entonces es falso porque los miles son 5 ahora, la parte 25 está en la marca de diez mil más inteligente, por favorStep-by-step explanation:
What is 2x+x+7x+4y-2y
Answer:
2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)a building is 3.1×10^2 feet high.a new roof increased its hight by 0.00005 feet how high is the building now
A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?
Answer:
87 I am getting points yayyyy
What is equivalent to -36 -8
Answer:
B
Step-by-step explanation:
It's not A because the 8 is positive.
It's not C because the 36 is positive.
And it's not D because both numbers are positive.
NEED HELP ASAP PLEASE ON ALL OF THEM !!!!
3. Factor x2 + 5x + 6.
Answer:
( x+3) (x+2)
Step-by-step explanation:
x^2 + 5x + 6.
What two numbers multiply to 6 and add to 5
(3*2) = 6
3+2 = 5
( x+3) (x+2)
Answer:
[tex]\left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]
If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get? *
Answer:
-12 degree hope this helps you
Step-by-step explanation:
:
5 - 17 = -12
Answer:
_________
-12 degrees.
Plz help fast aaaaaaaaahhhhhhhh
Answer:
70
Step-by-step explanation:
250 costumers who bought gas
72% of the costumer made an additional purchases.
find:
how many of the costumers made additional purchases?
solution:
250 - (0.72 x 250) = 70
PLEASE HELP I HAVE 30 POINTS Part A: If (6^2)^x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
Part A: 0
Part B: All real numbers
Step-by-step explanation:
Part A:
We have:
[tex](6^2)^x=1[/tex]
First, let's evaluate the square:
[tex]36^x=1[/tex]
Now, what to the xth power will equal 1?
Remember the fact that anything (except for 0) to the zeroth power is 1.
Therefore, our x is 0:
[tex]36^0=1[/tex]
Part B:
We have:
[tex](6^0)^x=1[/tex]
Like mentioned previously, anything to the zeroth power is 1. Thus:
[tex]1^x=1[/tex]
Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:
[tex]1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1[/tex]
Therefore, our values of x is all real numbers.
And we're done!
help w this / asap!
Answer:
The answer should be p >= 7
The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?
0.6 because 6 divided by 10% is 0.6
A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the range according to the situation.
Answer:
domain is (xo ≤ x ≤ 0.45 )
range is (xo ≤ y ≤ 8.1 )
Step-by-step explanation:
given data
constant speed = 18 miles per hour
total time = 27 minutes = 0.45 hour
solution
we consider here Domain number of hours = x and Range distance traveled = y
we apply here distanace formula that is
Distance = speed × time .........................1
put here value
Distance = 18 × 0.45 = 8.1 miles
and no of hours x = 0 to 0.45 hours
so here
So domain is (xo ≤ x ≤ 0.45 )
and
Distance is 0 to 8.1 miles
So range is (xo ≤ y ≤ 8.1 )
please answer B and C i will mark u brainiest
Answer:
B: the translation can be represented as (x,y) (x-2,y-2)
C: figure c was translated from quad 2 to quad 4
hope that helps.
Kenji scores 23 points per coin. After collecting a total of 2 coins, how many points will Kenji have scored in all?
Answer:
46
Step-by-step explanation:
23 x 2 = 46
Hope this helps!
an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation.
Answer:
is greater than or equal to 20
Is 4.85912 rational number
terry earn $35.75 for working for 5 hours. how much did terry earn per hour
Answer:
Step-by-step explanation
Divide 35.75 and 5 and you get 7.15 an hour .
How to solve
- 2b
-- 5(b-6)
(b + 2) • (b - 1) • (b - 3)
Answer:
-2b
-5b+30
Step-by-step explanation:
-2b
-5×b= -5b
-5×-6= (+)30
cancels out the negative because a negative times a negative is a positive