Answers
Part-A:-
(f×g)=[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]
[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]
[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]
Now
[tex]\\ \sf\longmapsto (f.g)(3)[/tex]
[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]
[tex]\\ \sf\longmapsto -72+144+560[/tex]
[tex]\\ \sf\longmapsto 72+560[/tex]
[tex]\\ \sf\longmapsto 632[/tex]
Part-B:-
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]
[tex]\\ \sf\longmapsto 9+9-70[/tex]
[tex]\\ \sf\longmapsto 18-70[/tex]
[tex]\\ \sf\longmapsto -52[/tex]
Now
[tex]\\ \sf\longmapsto g(f(3))[/tex]
[tex]\\ \sf\longmapsto g(-52)[/tex]
[tex]\\ \sf\longmapsto 4(-52-3)[/tex]
[tex]\\ \sf\longmapsto 4(-55)[/tex]
[tex]\\ \sf\longmapsto -220[/tex]
Part:-C
[tex]\\ \sf\longmapsto g(-2)[/tex]
[tex]\\ \sf\longmapsto 4(-2-3)[/tex]
[tex]\\ \sf\longmapsto 4(-5)[/tex]
[tex]\\ \sf\longmapsto -20[/tex]
Now
[tex]\\ \sf\longmapsto f(g(-2))[/tex]
[tex]\\ \sf\longmapsto f(-20)[/tex]
[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]
[tex]\\ \sf\longmapsto 400-60-70[/tex]
[tex]\\ \sf\longmapsto 400-130[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
Part-D:-
g×f=f×g[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]
[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]
[tex]\\ \sf\longmapsto 32-96+560[/tex]
[tex]\\ \sf\longmapsto -64+560[/tex]
[tex]\\ \sf\longmapsto 496[/tex]
Related Questions
Evaluate each expression for the given values of m and n. 2m - 4n(3m – 4) if m= 1 and n= -3 (2)
Answers
Answer: -22
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
m = 1
n = -3 (2) = -6
Given expression
2m - 4n (3m - 4)
Substitute values into the expression
=2(1) - 4(-6) (3(1) - 4)
Simplify by multiplication
=2 + 24 (3 - 4)
Simplify values in the parentheses
=2 + 24 (-1)
Simplify by multiplication
=2 - 24
Simplify by subtraction
=[tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
if A = { 0 }, n ( A ) = ?
Pls answer my question!
Answers
Answer:
0Step-by-step explanation:
A = { 0 }, n ( A ) = 0[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which shape fits the description below?
A three-sided figure with angle measures of 60°, 60°, and 40°.
X.
Y.
Z.
OA. Y
OB. Z
OC. X
OD. The shape is nonexistent.
Answers
Answer:
OD for a triangle to exist it must equal 180 degrees as a final and this one only equals 160
Answer:
D. The shape is nonexistent.
Step-by-step explanation:
A triangle's angles must add up to 180 degrees.
60+60+40 is 160.
160[tex]\neq[/tex]180
If the volume of a cube is 27 m^3, what is the surface area of the cube, in square meters
Answers
Step-by-step explanation:
25847 /5839(3910)466410(:75920)2
Is 9.5 an irrational number
Answers
Answer:
yes it is.....................
Step-by-step explanation:
9.5 = 19/2
So it is a rational number (and so is not irrational)
-5r - 3r = ?
Can someone explain how to do solve this?
Answers
Answer:
-8r
Step-by-step explanation:
-5r - 3r
Combine like terms
Factor out r
r( -5-3)
-8r
Answer:
like bases combine under add/subtract
-5 minus 3 is -8
-8r would be the solution
Step-by-step explanation:
Watch help video
Determine if v 49 is rational or irrational and give a reason for your answer.
The number 49 is rational
because
Answers
Step-by-step explanation:
If a number is rational, we can represent it as a fraction.
[tex] \frac{a}{b} [/tex]
Where a and b are intergers.
First, we know that
[tex] \sqrt{49} = 7[/tex]
We can represent 7 as
[tex] \frac{7}{1} ..... \frac{14}{2} .... \frac{21}{3} ..... \frac{n}{y} = 7[/tex]
Where n and y are two numbers that when divided equal 7.
So
[tex] \sqrt{49} [/tex]
is a rational number
2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3
A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)
Answers
Answer:
I think you mean C.
Step-by-step explanation:
f(x) / g(x) = (x + 3)(x - 3)
==========
(x - 3)(x - 1)
f(x)/g(x) = (x+3) / (x - 1)
- ∞ < 1 U 1 < 3 U 3 < ∞
Math For test HELPPPP plz due in 45 mins
Answers
someone help me plz:
Andrew has an annual income of $25,000. He decides to take classes online and at night so that he can continue to work. After 3 years, he gets his degree and immediately starts earning $35,000 per year. If it takes Andrew 6 years to recover his investment for his education, how much did it cost him? Show your work.
Answers
Rate of change=35000-25000=10000
Time=6years
Total cost
[tex]\\ \sf\longmapsto 10000(6)=\$60000[/tex]
What is the answer plz answer this one
Answers
Answer:
it would be the 1st option or in other words the one on the top left
5(-7k+4d) Use k=-7 and d=4
Simplified is??
Answers
Answer:
325
Step-by-step explanation:
k = -7
d=4
5(-7k + 4d)
5(-7(-7) + 4(4))
5(49 + 16)
325
please give brainliest I need it to level up
The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers
Answers
Answer:
12742π kilometers
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(r)π
r = 6371
Circumference = 12742π
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
12742
Step-by-step explanation: Khan Academy
K is between J and M. L is
between K and M. M is
between K and N. If JN = 14, KM = 4, and JK = KL = LM, what is NL?
(do step-by-step fully pls)
Answers
Step-by-step explanation:
given,
K is between J and M, L is between K and M, M is between K and N. JN = 14, KM=4 and JK= KL= LM
NL=?
according to the question,
J-------K-------L------M--------N
We know,
KM= 4
KL+LM=4
KL+KL=4 (LM=KM)
2KL=4
KL=2
SO,
JK=KL=2 and LM=KL=2
we have ,
JN=14
JK+KM+MN= 14
2+4+MN=14
MN=8
Now,
NL=LM+MN= 2+8= 10
4y + 3x + 2y + 9x + 4
Anyone down to help with this and other ones ?
Answers
Answer:
6y+12x+4
Step-by-step explanation:
4y + 3x + 2y + 9x + 4
Combine like terms
4y+2y +3x+9x +4
6y +12x +4
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answers
Answer:
OPTION A:0.85M+2.50.
Step-by-step explanation:
SEE IMAGE FOR SOLUTION
In cashing a check for $220, Christina asked for the whole amount in $10 and $20 bills. She received a total of 13 bills, four of them being $10 bills.
O True
O False
Answers
Hi
if she recieived 13 bills and 4 are 10 $? then we have 13-4= 9 20$ bills
so 4x10 +9x20 = 40+180 = 220
So yes it's true
Evaluate.
(-1)3 =
Hell no links!!!
Answers
Answer:
-3
Step-by-step explanation:
(-1)3 = -3
Answer:
-3
Step-by-step explanation:
-1 × 3 = -3
also when you have a negative and a positive it means that the answer is negative.
In a rotation, pairs of corresponding points are on parallel lines?
Answers
Step-by-step explanation:
Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.
Is this right besties ? I’m doing a package because my schools shutdown :((
Answers
Answer:
Everything is good but the 7th one. it shold be 6.009x10^-3
what is -3 5/6x-4/7?
Answers
Answer:
35
x
6
−
4
7
35x - 4
6 7
Step-by-step explanation:
It's geometry please help me
Answers
Answer:
x=13
Step-by-step explanation:
C is the midpoint of line BD, BC=CD. 6x-16=4x+10, x=13
Find the value of x that will make L||M.
Answers
Answer:
Corresponding angles are equal
8x + 2 = 7x + 9
8x - 7x = 9 - 2
x = 7
help!!! this is due tomorrow!!!!!
Answers
I think…………………………………………..
Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers
Answers
Answer:
The first number = 4The second number = 6The third number = 8Step-by-step explanation:
Let all unknown numbers be represented by the variable x.So;x = first number
x + 2 = second number
x + 4 = third number
placing in a form as demanded by the question.5(x + 2) = 6 + 2x + 2 ( x + 4)
5x + 10 = 6 + 2x + 2x +8
5x - 4x = 14 - 10
x = 4
Therefore;The first number (x) = 4
The second number ( x + 2) = 4 + 2 = 6
The third number (x + 4) = 4 + 4 = 8
Answer:
2x + 2x +2 + 2x +4 = 6x +6 =Sum
5 * (2x +2) = 2 * (2x + 2x +4) +6
10x + 10 = 8x + 8 + 6
2x = 4
x = 2
So the numbers are:
2x or 4
2 x + 2 = 6
2x + 4 = 8
Double-Check
5 * 2nd integer = 30
2 * (1st + 3rd integers) = 24
30 is 6 more than 24
Success!!!
Step-by-step explanation:
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answers
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
If A/B and C/D
are rational expressions, then
AxC/BxD = AxD/BxC
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
If A/B and C/D are rational expression then
A/B*C/D
Or
A/B*C/D=A/C*B/D
It means that if A/B and C/D are rational expression then their product with each other will also be a rational expression.
What is a expression equivalent to 9-(-12)
Answers
9 + 12
Step-by-step explanation:
Two negative signs together makes addition!
Hope this helps!
- doomdabomb
Use the number line below, where RS = 5y +5, ST = 3y +6, and RT = 12y - 21. a. What is the value of y? b. Find RS, ST, and RT. a. What is the value of y? y = (Type an integer or a decimal.)
Answers
Answer: 89
Step-by-step explanation:
show your work
A53 degrees
B143degrees
C37degrees
D90degrees
????????????
Answers
Answer:
143 = EFD
Step-by-step explanation:
The two angles form a straight line
AFD = 180
AFD = AFE + EFD
180 = 37+ EFD
180 -37 = EFD
143 = EFD