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.
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.
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 7.87400787401 a rational or irrational number?
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!
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 )
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!
Is 4.85912 rational number
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:
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
Please help. What is the answer to the Algebra 2 question
Answer:
(- ∞,1]
Step-by-step explanation:
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 .
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 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.
(-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
If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)
help w this / asap!
Answer:
The answer should be p >= 7
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
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
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]
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
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
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.
What is 2x+x+7x+4y-2y
Answer:
2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)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.
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
NEED HELP ASAP PLEASE ON ALL OF THEM !!!!
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
Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!
Answer:
Its the second one 4-(-8)