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 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
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.
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
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!
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
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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QUACKITY SUPREMACY ALSO I NEED HELP WITH MATH
Answer:
QUACKITY IS THE MOST POG PERSON EVER
Step-by-step explanation:
BECAUSE I SAID SO
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?
Can someone help me ????
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:
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
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.
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
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
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
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.
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
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.
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
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 :)
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
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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Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
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.
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
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:
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
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
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 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