Answer:
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]
We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)
So,
[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]
Combining alike terms
[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]
Now it was given that:
f(x)- g(x)= ax^3+bx^2+ cx+d
By comparing both we get
a = 3, b = -12, c = -5, d = 10
Hence,
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
plz help
Functions f, g, and h are defined as follows: f(x) = x +1, g(x) = x^2 +1, and h(x) = x^3 +1.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(3)
Answer:
a. let the gx be x
g(x) = x^2+1
or, x^2+1=y
or, x^2= y-1
:. x=2 root y-1
inter changing the relation of xand y
:. x=2 root y-1
:. g-1(x)= 2root x-1
b.
12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.
I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.
A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV
Can someone help me ????
What is the slope of the line given by the function f (x) = 7 – 2x?
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
Please Help Quick ASAP Hurry This is Pre-Algebra 1
The table shows the low outside temperatures for Monday, Tuesday, and Wednesday.
What was the change in the low outside temperature from Tuesday to Wednesday?
Day Temperature (°C)
Monday -12.5
Tuesday -8.6
Wednesday -10
A.18.6°
B.-10°
C.-18.6°
D.1.4°
Answer:
d=1.4
Step-by-step explanation:
cuz 10-1.4=8.6
Answer:
D. 1.4
Step-by-step explanation:
-8.6 - (-10) = 1.4
Determine how (if possible) the triangles can be proved similar.
Answer:
opposite sides are congruent and parrallel
Step-by-step explanation:
im pretty sure im correct because i learned this in 10th grade for Algebra
Answer:
SAS Similarity
hope this helps<3
Please help! This is my last question on the homework and it’s taking forever for me to do
Answer: y = x + 40
Step-by-step explanation: y = x + 40
First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.
Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.
There are a few possible answers and they are
y - 40 = 1(x - 0)
y - 50 = 1(x - 10)
y - 60 = 1(x - 20)
=================================================
Explanation:
Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)
Use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
m = (50-40)/(10-0)
m = 10/10
m = 1
The slope is 1.
Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.
------------------
Since your teacher wants the answer in point slope form, we'll use this as our template
y - y1 = m(x - x1)
where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.
------------------
If we use (x1,y1) = (0,40), then we get
y - y1 = m(x - x1)
y - 40 = 1(x - 0)
which is one possible answer
------------------
If we use (x1,y1) = (10,50), then we get
y - y1 = m(x - x1)
y - 50 = 1(x - 10)
which is another possible answer
------------------
If we use (x1,y1) = (20,60), then we get
y - y1 = m(x - x1)
y - 60 = 1(x - 20)
which is another possible answer
------------------
So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.
A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds. Which expression represents this situation?
Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?
Answer:
y = ½x + 2
Step-by-step explanation:
We are given the coordinates of the endpoint as;A(8,2) and
B(0,6)
The midpoint coordinates will be;
((8 + 0)/2, (2 + 6)/2) = (4, 4)
The slope of the midpoint using gradient formula will be;
m = (6 - 2)/(0 - 8)
m = 4/-8
m = -2
Thus, slope of a line perpendicular to the midpoint is;
m_p = -1/m
m_p = -1/-2
m_p = 1/2
Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;
y - 4 = ½(x - 4)
Multiply both sides by 2 to get;
2y - 8 = x - 4
Add 8 to both sides to get;
2y - 8 + 8 = x - 4 + 8
2y = x + 4
Divide through by 2 to get;
y = ½(x + 4)
y = ½x + 2
x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.
Answer:
x=3
Step-by-step explanation:
⇒
y
=
3
x
Explanation:
Direct proportionality is defined as:
y
=
α
x
where
α
is some constant that defines the proportionality.
Given
x
=
2
and
y
=
6
, we find:
y
=
α
x
6
=
α
(
2
)
3
=
α
So the relationship here is
y
=
3
x
A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the
number of days, t, since the shipment arrived. Here is a table showing some values of d
Calculate the average rate of change for the following intervals:
a. day 0 to day 5
b. day 15 to day 20
t d(t)
0 2,000
5 1,283
10 823
15 528
20 338
The average rate of change:
a. -143.4 decks per day
b. -38 decks per day.
Important information:A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. The calculation is as follows:a.
For day 0 to day 5
[tex]= (1,283 - 2000) \div (5 - 0)\\\\= -717 \div 5\\\\= -143.4[/tex]
b.
For day 15 to day 20
[tex]= (338-528) \div (20-15)\\\\= -190 \div 5\\\\= -38[/tex]
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For questions 1 - 2, use the distributive property to find the product of the binomials.
1. (x - 4)(2x + 5)
2. (4x - 2)(x-3)
Please make is simple to understand.
Answer:
1). 2x^2-3x+20
2). 4x^2-14x+6
Step-by-step explanation:
1. (x-4)(2x+5)
FOIL:
(x)(2x)+5(x)-8(x)+(4)(5)
2x^2+5x-8x+20
=2x^2-3x+20
2. (4x-2)(x-3)
FOIL:
(4x)(x)-(3)(4x)-2(x)-2(-3)
4x^2-12x-2x+6
=4x^2-14x+6
Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
which function does not have a vertical asymptote?
a. y=5x/x*x^2
b. y=5x/1+2x^2
c. y=5x-1/x
d. y=x/1-x^2
Answer:
B. y=(5x)/(1 + 2x^2)
Step-by-step explanation:
A. y = (5x)/(x * x^2)
Vertical Asymptotes: x = 0
B. y = (5x)/(1 + 2x^2)
Vertical Asymptotes: None
C. y = (5x - 1)/x
Vertical Asymptotes: x = 0
D. y = x/(1 - x^2)
Vertical Asymptotes: x = -1, 1
WILL MARK BRAINLIEST
Answer:
Width: (13 inches side) 169 ft
Length: (11 inches side) 143 ft
Step-by-step explanation:
I'm not 100% sure but I tried :)
I need help plzzzzzzzzzzzzzzzzz
Answer:
x=21
Step-by-step explanation:
I think we are supposed to assume that is a right angle which means 90-6= 84
84/4= 21
Solve -0.8(10 - x) = 36
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Linear equation.
Solving we get as,
-0.8(10-x)=36
=> -8 + 0.8x = 36
=> 0.8x = 36+8
=> 0.8x = 44
=> x = 44÷0.8
=> x = 55
x= 55.
The solution of the expression will be;
⇒ x = 55
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -0.8 (10 - x) = 36
Now,
We can solve the expression as;
The expression is,
⇒ -0.8 (10 - x) = 36
⇒ - 0.8 × 10 + 0.8x = 36
⇒ - 8 + 0.8x = 36
⇒ 0.8x = 36 + 8
⇒ 0.8x = 44
⇒ x = 44 / 0.8
⇒ x = 55
Thus, The solution of the expression will be;
⇒ x = 55
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Solve for c.
a (b – c) = d
a) c= d - ab/a
b) c= ab – d/b
c) c= ab – d/a
d) c= ab + d/а
Answer:
C) c=ab-d/a
Step-by-step explanation:
just took the test
Find three solutions for the linear equation 4x-3y = 1
PS. answer plsss
Answer:
I had shoot it so, hope it help u. and sorry, if it is incorrect!!
Answer:
X=1, y=1,(x,y)=(1,1)
X=0,y=-1:3,(x,y)=(0,1:3)
X=1:4,y=0,(1:4,0)
Step-by-step explanation:
Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.
The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?
Define a variable, write an equation, then solve.
Answer:
7308
Step-by-step explanation:
348 times 21 = 7308
Sorry if this is wrong.
The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 15 to V2 = 18
(V2−V1)|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=20%increase
Answer:
20%
Step-by-step explanation:
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
Which trigonometric identity is the reciprocal of the cos identity?
A. cosec
B. sec
C. sin
D. cot
Step-by-step explanation:
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?
Answer:
1 1/2
Step-by-step explanation:
3/2= 1 1/2
In order to prove a conjecture is always true, you must show?
A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof
In order to prove a conjecture is always true is formal proof.
We have given that,
A.) a formal proof
B.) a counter-example
C.) several true examples
D.) an informal proof
We have to prove a conjecture is always true
In order to prove a conjecture is always true, you must show formal proof.
What is the conjecture?
A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.
Therefore the first option is correct.
In order to prove a conjecture is always true is formal proof.
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Answer: A- a formal proof
Step-by-step explanation:
just is
i need a good grade please
Answer:
A is not correct
Step-by-step explanation:
angle GHK is a vertical angle but Jhi is not
The value of y is directly proportional to the value of x.If y when x = 40, what is the value of y when x = 140?
Answer:y=14
Step-by-step explanation:
QUACKITY SUPREMACY ALSO I NEED HELP WITH MATH
Answer:
QUACKITY IS THE MOST POG PERSON EVER
Step-by-step explanation:
BECAUSE I SAID SO