Answer:
13
Step-by-step explanation:
(fog)=3(x-1)+1
ie puting the function of g in f
so (fog)= 3x-3 + 1= 3x-2
finding fog
(fog)(5)= 3(5)-2
ie sub stitute 5 in x
(fog)(5)=15-2=13
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.
Area of a square is side^2
Diagonal of a square is sqrt(2) x side
Using this rewrite the area formula as :
1/2 x diagonal^2
Area = 1/2 x 40^2 = 800
Area = 800 m^2
Answer = b) 800m^2
How to solve 12x+15 vertical lines
Answer:
thanks for asking question
HELLLLPPPPP PLZZZZ!!!!
Answer:
width = 5 ft
Step-by-step explanation:
1.9 times of width = length
1.9*w = 9.5 ft
1.9w = 9.5
Divide both sides by 1.9
w = 9.5/1.9
w = 5 ft
Answer:
1.9w=9.5
w=width
1.9(w)=9.5
1.9(5)=9.5
Width(w)=5
Help me plss.. I already give the picture...
Answer:
Step-by-step explanation:
3. Which of the following represents two times the sum of a number and fifteen is equal to six times the number?
Answer:
Two times the sum of a number and fifteen : 2*(N+15) is EQUAL to six times the number : 6N
So it's the third answer : 2(N+15)=6N
Good luck.
they sold $62 by selling 4 adult tickets and 2 student tickets. find the cost of an adult ticket.
Answer:
Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...
They could sell: 4 adult tickets costing $15 each and 2 student ones cost $1 dollar each,...All of that adding up to $64
Or they could sell: 4 adult tickets costing $10 each and 2 student ones cost $11 dollar each,...All of that adding up to $64
OR still (you're probably annoyed by now,... sorry) they could sell: 4 adult tickets costing $6 each and 2 student ones cost $19 dollar each,...AND All of that adding up to $62
You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!
the function h(x) is a transformation of the square root parent function
Answer:
h(x)=\sqrt(x+6)
Step-by-step explanation:
I just did the test for a p e x
help me with the question of o.math
Answer:
A= 5 8 11
7 10 13
11 14 17
x=3 y=2 z=-1 w=1/2
Step-by-step explanation:
Let matrix A= a11 12 13
a21 a22 a23
a31 a32 a33
aij=2^i+3j
When i=1 and j=1,
aij=2^1+3*1=2+3=5
Solve for all the elements and you'll get,
A= 5 8 11
7 10 13
11 14 17
For no 7,
x+y 0 = 5 2w-1
1 x-y z+2 1
Equating,
x+y =5 z+2=1 2w-1=0 x-y=1
x=5-y z=-1 w=1/2 From 1st 5-y-y=1 -2y=-4 y=2
x=5-2(from last)
x=3
-1/2 divided by 1/19
Answer:
-19/2 or
-9 1/2
Step-by-step explanation:
-1/2 ÷ 1/19
Copy dot flip
-1/2 * 19/1
-19/2
-9 1/2
PT= 3x+4 and TQ=5x-8
Answer:
So if PT=TQ and TQ=7x-9
PT=5x+3=TQ=7x-9
5x+3=7x-9
minus 5x both sides
3=2x-9
add 9 both sides
12=2x
divide 2
6=x
PT=5x+3
PT=5(6)+3
PT=30+3
PT=33
PT=QT=33
x=6
Hoped I helped you.f(x) = x2. What is g(x)?
Answer:
g(x) = [tex](\frac{x}{3})^2[/tex] which is A.
Step-by-step explanation:
I did this before. You have to trust me.
Can you guys helppppppppppppp
Step-by-step explanation:
to find this angle you can use the sin ratio seeing that the opposite has been given which is 35 and the hypotenuse which is 48.so the solution will be
sin?=opposite/hypotenuse
sin?=35/48
sin?=0.729
?=sin inverse of 0.729
?=46.8 rounded off to 47°
I hope this helps
Hi
in application of sinus formula : ( must learn your trigonimetric formulas by heart !)
value of ? is sin^(-1) = (35/48) = 46,8. so 47 when rounded to the nearest degree
find the area of quadrilateral ABCD
Answer:
A ≈ 28.5
Step-by-step explanation:
a, b, c
P = a + b + c
Semiperimeter s = [tex]\frac{a+b+c}{2}[/tex]
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
~~~~~~~~~~~~~~~
[tex]P_{ABC}[/tex] = 4.3 + 2.89 + 6.81 = 14
s = 14 ÷ 2 = 7
[tex]A_{ABC}[/tex] = [tex]\sqrt{7(7-4.3)(7-2.89)(7-6.81)}[/tex] = √14.75901 ≈ 3.84
[tex]P_{BCD}[/tex] = 8.59 + 7.58 + 6.81 = 22.98
s = 22.98 ÷ 2 = 11.49
[tex]A_{BCD}[/tex] = [tex]\sqrt{11.49(11.49-8.59)(11.49-7.58)(11.49-6.81)}[/tex] = √609.7343148 ≈ 24.6928
[tex]A_{ABCD}[/tex] = 3.84 + 24.6928 ≈ 28.5
Solve the equation |8y+4|=2|y−1|.
Explain.
[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]
[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]
[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]
[tex]\\ \sf\longmapsto 6y=-5[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
OAmalOHopeO
-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3
Answer:
Inverse of f(x) is ³√2-x
Step-by-step explanation:
let the inverse of f(x) be m :
[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]
make x the subject:
[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]
substitute x for m:
[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]
Answer:
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
Step-by-step explanation:
One is asked to find the inverse of the following function:
[tex]f(x)=2-x^3[/tex]
Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,
[tex]f(x)=2-x^3[/tex]
[tex]f(x)-2=-x^3[/tex]
[tex]2-f(x)=x^3[/tex]
[tex]\sqrt[3]{2-f(x)}=x[/tex]
Put in inverse function notation,
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
What is the length of AC?
Because all the angles are congruent (the same), this is an equilateral triangle. All equilateral triangles have congruent angles and congruent sides, so all sides has to be 14.
I need an explanation written out for (0.345)(2.1)
Thank you
Answer:
0.07245
Step-by-step explanation:
Just work out 345*21 and then divide by 10,000 because 0.345 is 3 digits from zero and 2.1 has 1 digit from zero, so total of 4 zeroes (10,000 since 10,000 has 4 zeroes).
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial
function.
f(x) = 2^(5x-6)
h(x) = 3x^5 - 2x^3 - 4x + 7
x=4
x=7
x = 6
x=5
Answer: ¿Hablas español porque no entiendo esto? Si lo haces, ¿puedes decirme en español?
Step-by-step explanation:
I need help in this question
Answer:
Yes and 60 mi/h
Step-by-step explanation:
The slope of a distance-time graph represents the spped of an object. since the slope has been uniform, the body was travelling with a constant speed that is 120/2=60 mi/h
lines DE and AB are parallel
which angles represent alternate interior angles
Answer:
Step-bWhat characteristics do these words have in common? Click on all that apply.
dogs, cats, race horses, pigs
mammals
four-legged animals
domesticated animals
house petsy-step explanation:
Given two consecutive even integers whose sum is 186, find the smaller of the two integers.
Answer:
92 is the smaller even integer
Step-by-step explanation:
x = first even integer
x+2 = second even integer
(x) + (x+2) = 186
Combine like terms
2x+2 = 186
Subtract 2 from each side
2x+2-2 =186-2
2x = 184
Divide by 2
2x/2 = 184/2
x = 92
x+2 = 94
Step-by-step explanation:
let,two even consecutive number be x and x+2
now,according to the question
x+x+2=186
or, 2x=186-2
or, 2x= 184
or, x= 184/2
:- x= 92
Hence,
x=92 and x+2= 94
two even consecutive numbers are 92 and 94
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
Triangle ABC has a height of 8 cm and an area of 42cm².
Calculate the length of BC.
BC must be base
Height=8cmArea=42cm^2We know
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}[/tex]
[tex]\\ \sf\longmapsto 42=\dfrac{1}{2}8BC[/tex]
[tex]\\ \sf\longmapsto 4BC=42[/tex]
[tex]\\ \sf\longmapsto BC=\dfrac{42}{4}[/tex]
[tex]\\ \sf\longmapsto BC=10.5cm[/tex]
BC must be base then
Area: 42cm²
Height: 8cm
Base: BC
1/2 × b × h = 42
1/2 × b × 8 = 42
b = 42/4
b = 21/2
BC = 21/2 or 10 1/2
Or 10.5cm
Must click thanks and mark brainliest
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that attends. Write an equation where d is the total donation and p in the number of people that attend.
A. d=4p+200
B. d=4+200p
C. p=4+200d
D. p=4d+200
Answer:
A. d=4p+200
Step-by-step explanation:
The reason why this is, is because d is the total amount, equaling to 4 times p due to the fact that it is $4 for each person that attends.
Simplify (3 1/2+7)divided by (4 1/3-3)
Answer:
63/8
Step-by-step explanation:
3 1/2 = 7/2
4 1/3 = 13/3
[tex] \frac{ \frac{7}{2} + 7 }{ \frac{13}{3} - 3} [/tex]
[tex] = \frac{ \frac{21}{7} }{ \frac{4}{3} } [/tex]
[tex] = \frac{63}{8} [/tex]
please help me!!!!! its very very important!
Answer:
Does the answer help you?
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
C
Step-by-step explanation:
E's coordinates are (-2,-4). When you will reflect the point about y axis, the new coordinates will be (2,-4)
Answer: C (2,-4)
Step-by-step explanation:
Banking You are going to open a certificate of deposit (CD) that earns simple
interest. One bank offers a CD in which you must deposit $500 for 3 years with
2% interest. Another bank offers a CD in which you must deposit $250 for
4 years
with 3% interest. Which CD will earn more interest?
Answer:
They will earn equal profit
Step-by-step explanation:
Intrest given by first bank=(500*3*2)/100=30
Intrest given by second bank=(250*3*4)/100=30
Could someone help me solve this