Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
One angle of a triangle measures 102°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is_______ = 180.
The congruent angles each measure _______°.
Answer:
if i am rightthe two other angles arre 39
Step-by-step explanation:
if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102
180-102= 78
then since you need the other two angles all you do is divide it by 2
so 78/2= 39 so the two missing anlges are 39
find the constant term in the expansion of (x +1/x)'8
[tex]\left( x+\frac{1}{x}\right)^{8} =\sum _{k=0}^{8}\binom{8}{k} \cdotp x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k}\\\\\\ \begin{array}{l}\text{We\ wish\ to\ find\ } x^{0} :\\\\x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k} =x^{0}\\\\\Longrightarrow x^{8-k} \cdotp x^{-k} =x^{0}\\\\\Longrightarrow \cancel{x}^{8-2k} =\cancel{x}^{0}\\\\\Longrightarrow 2k=8\\\\\Longrightarrow k=4\end{array}\\\\\therefore \binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8!}{( 8-4) !\cdotp 4!}[/tex]
[tex]\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8\cdotp 7\cdotp 6\cdotp 5\cdotp \cancel{4!}}{\cancel{4!} \cdotp 4\cdotp 3\cdotp 2\cdotp 1}\\\\\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4}=70\\\\\therefore \boxed{\boxed{\text{The\ constant\ term\ is\ } 70}}[/tex]
is 453 exactly divisible by 2
Answer:
No, for any number to be divisible by 2, the one and only rule is that it's even. This number is odd
My nephew needs help with this question
The domain is the set of all the x-values/inputs used by the function.
The range is the set of all y-values/outputs used by the function.
For #1:
The domain is { 1, 0, -1, 4 } because those are the x-values.
The range is { 3, 5, 7, -6 } because those are the x-values.
I'll let you try #2. if you write back with your answer, I'll reply to let you know if you did it correctly.
Choose either yes or no to tell if each of the following represents 0.87.
Answer:
yes, no, yes, yes
Step-by-step explanation:
A=.87
B=.15
C=.87
D=.87
Please someone answer this :D I really need the answer
Answer:
8.25
Step-by-step explanation:
first substitution
x=4 and y=7
square root(i dont have it) 4(x)7 + 9(x)4 =
square root 28+36 =
square root 64 =
8.246211251
round to 3 significant figure = 8.25
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
how to calculate angle which is 25 degree?
What is the value of x?
A
60°
95-
A. 1550
B. 60°
C. 35°
D. 25°
180° - 95° = 85°
x = 180° - 85° - 60°
x = 35°9
Find the value of ab when a =
7
and b =
10
The answer is
(Simplify your answer.)
here,
a= 7 and b=10
then,
ab
= a × b
= 7 × 10
(replace a and b by its value)
= 70
therefore, ab =70......
points!!!!!!!!!!!!!!!!!!!!!!!!!Plz answer
[tex](7^3)^{-2}=7^{3\cdot(-2)}=7^{-6}=\\\\=(\frac{1}{7})^6=\frac{1}{7\cdot7\cdot7\cdot7\cdot7\cdot7}[/tex]
Can someone help me?? 3+3
Answer:
6
Step-by-step explanation:
count your fingers
1/9 y -5 = - 7 what does Y equal?
⅑y - 5 = -7
⅑y = -7 + 5
⅑y = -2 / · 9
y = -18
In 2004, baseball player Lance Berkman had
172 hits out of 544 at bats. What was Lance
Berkman's Batting Average in 2004 rounded to
the nearest thousandth?
Answer:1 thousandth
Step-by-step explanation:
The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
Answer:
I think
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Hope this help! Try my best :)
A car travels at a constant speed of 20m/s.Work out the distance travelled [in meters] by the car after (a) 4seconds (b) 12seconds (c) 3mins (d) 2hrs
Answer:
This is quite an easy question u should try it yourself
Step-by-step explanation:
The formula is
V= d / t
Therefore the distance is
D = vt
So since they alredy gave u that v = 20m/s
Just put in the time, remember to change it to seconds
t - 27 = - ( 27 - t )
Answer:
0
I dont remember why but I know for a fact it's zero
What are the coordinates of the point on the directed line segment from (−4,10) to (-2, -2) that partitions the segment into a ratio of 3 to 1? HURRYYYY!!!!
Answer:
(-2.5 , 1)
Step-by-step explanation:
the x- coordinates :
[(3×(-2)) + (1×(-4))] /(3+1)
= (-6 +(-4))/(4)
= -10/4
= -2.5
the y-coordinates :
[(3×(-2)) + (1×10)] / (3+1)
= (-6+10)/(4)
= 4/4
= 1
so, the coordinates are (-2.5 , 1)
Answer:
(-2.5, 1)Step-by-step explanation:
Directed line segment from (−4,10) to (-2, -2).
The ratio = 3/1.
The coordinates are:
x = -4 + 3/4*(-2 - (-4)) = -4 + 3/4*(2) = -4 + 1.5 = - 2.5y = 10 + 3/4(-2 - 10) = 10 + 3/4*(-12) = 10 - 9 = 1Write the answer without using exponents? -9^3
Answer:
1/729
Step-by-step explanation:
a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729
How many hours? Thank you for your time.
Answer:
3/4 hours I believe so??
plese help me fast I will mark you brainlist
Answer:
x= 70 y= 70
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x+y=5x+y=5. Fully simplify your answer.
Answer:
1
Step-by-step explanation:
x+y = 5
Put this equation in slope intercept form y = mx+b where m is the slope
y = -x +5
The slope of the line is -1
Perpendicular lines have slopes that multiply to -1
-1 * m = -1
m = 1
The slope of the perpendicular line is 1
HELP PLS!!! You invested $25,000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $1900, how much was invested at each rate?
A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245
Step-by-step explanation:
multiple the amount of rooms on each floor (35) by the amount of floors (7)
35x7=245 rooms
This is geometry and i hate it and i need the answer.
Answer:
B
Step-by-step explanation:
Since the line bisect PQ then the length of the left segment must be equal to the right segment.
Hence
[tex]5x-3 = 11 -2x\\5x + 2x = 11 +3\\7x = 14\\x = 2[/tex]
When x = 2 we have
[tex]PM = 5(2) -3 = 10 -3 =7.[/tex]
So the answer is B
Answer:
b. B
Step-by-step explanation:
PM = RM
[tex]5x - 3 = 11 - 2x[/tex]
[tex]5x + 2x = 11 + 3[/tex]
[tex]7x = 14[/tex]
[tex]x \times 2[/tex]
MQ = [tex]11 - 2x[/tex]
[tex]11 - 2 \times 2[/tex]
[tex]11 - 4[/tex]
[tex] = 7[/tex]
if g(x)=1-3/4x find each value
a. g(-12)
b. g(0)
c. -5xg(4)-1
Answer:
c
Step-by-step explanation:
the answer is C
Is (1,3) a solution of y = 3x2?
Josefina's check at Sun Bistro is $26.70. In order to leave a 24% tip, how much should she pay? Round to the nearest cent.
Answer:
33.11 hope this helps
Step-by-step explanation:
she needs to pay $33.108 In order to leave a 24 percent tip.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Josefina's check at Sun Bistro is $26.70. she wants to leave a 24% tip
Bill of josefina = 26.70
Bill after 24% tip = 26.70 * (1 + 24%)
Bill after 24% tip = 26.70 * 1.24
Bill after 24% tip = 33.108
Therefore, In order to leave a 24% tip she needs to pay $33.108.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
What is the simplified expression for
74.707
78
070
071
07²
073
Answer:
es la respuesta 070 esa es ponla
Dominic earns $14.25 an hour. Last week he worked 28 hours. How much did Dominic earn last week?
Answer:
$399
Step-by-step explanation:
If he earns $14.25 an hour and works 28 hours, we can find out how much he's earned by multiplying the rate per hour by the number of hours,
14.25 × 28 =
399
He earned $399 last week.
