Answer:
Given
f(x) = 3x + 2
g(x) = (x + 3) / (2x - 10)
#1
g · f(x) =
g(f(x)) =
(3x + 2 + 3)/ (2(3x + 2) - 10) =
(3x + 5) / (6x - 6)
#2
f · g(x) =
f(g(x)) =
3[(3x + 2) / (2x - 10)] + 2 =
(9x + 6) / (2x - 10) + 2 =
(9x + 6 + 4x - 20)/ (2x - 10) =
(13x - 14) / (2x - 10)
Step-by-step explanation:
94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.33a + 19.17a-213.37. (a) What is the age of unmarried women with the highest birth rate? 29.0 years (b) What is the highest birth rate of unmarried women? (e) Evaluate and interpret B(40).
Using concepts of quadratic equation, we have that:
a) The age of unmarried women with the highest birth rate 29 years.
b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
The birth-rate for women of age a is given by:
[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]
Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]
Item a:
The age with the highest value is the a-value for the vertex, which is:
[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]
The age of unmarried women with the highest birth rate 29 years.
Item b:
The rate is B(29), which is:
[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]
The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
Item c:
[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]
B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
A similar problem is given at https://brainly.com/question/24626341
Part A The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.Part B What is the height of the building in miles? Express the answer as a fraction in simplest form.Part C Use long division to find the decimal form of the building’s height in miles. Write the answer to four decimal places.Part D Review your answer to part C. Over which digit(s) must you draw an overline to show that the digit(s) repeat? Part E Christy’s sister, Chelsea, works in a nearby building that is 720 feet tall. What is the height of Chelsea’s building in miles? Express the answer as a fraction in simplest form. Part F Use long division to find the decimal form of the building’s height in miles. Write the answer to six decimal places. Part G Review your answer to part F. Over which digit(s) must you draw an overline to show that the digit(s) repeat?
Answer:
the answer is 3.14 when u solve it
HELPPPP!!!!! PLEASEEE IM BEING TIMED !!!!!!!!!!!
Answer:
[tex]x=89[/tex]
Step-by-step explanation:
We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].
We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].
We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].
We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].
So, the answer is [tex]\boxed{x=89}[/tex] and we're done!
Roger has $3.10 consisting of quarters, dimes and nickels. He has twice as many quarters as dimes and three more dimes and nickels. Find the number of each kind of coin.
Answer:
5 dimes 2 nickels 10 quarters
Please help me this a important test and I’m not good at math please explain step by step so I can learn the formula for once
Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.
Sonia has 14.84 l of juice. She pours it into 7 jars equally. How much juice is there in each jar
Answer:
2.12
Step-by-step explanation:
I did the maths equation
Answer:
2.12 liters in each jar
Step-by-step explanation:
Take the total amount of juice and divide it by the number of jars
14.84 liters / 7 jars
2.12 liters in each jar
I will mark brainliest for the right answer with a description that helps me on how to actually solve this please
Answer:
$126
Step-by-step explanation:
I divided the figure in 3 parts, 1 triangle and 2 rectangles
found the area of each figure and added all to find the total area
HELP ME NOW!!! PLS I DONT KNOW THSE TPYE OF STUFF
Answer:
10 yd, because you subtract 15 to 5.
Which of the following statements describes the graph below?
PLS HELP.
Answer:
piecewise, continuous.
Step-by-step explanation:
This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous. I hope this helps!
It's offcourse piecewise
For continuity
Observe the graph
The domain is like
(-oo,1]U(1,2]U(2,oo)For close ineterval there is an open interval hence it's continuous
What is the y-intercept of the graph below.
The y-intercept is 0, as that is where the line go thorugh the y-axis line.
Find the area of each triangle
Answer:
a.20,b.31.5
Step-by-step explanation:
h x b then Divide by 2
(IMAGE IS ATTACHED. PLEASE HELP! GIVING 100 POINTS)
What is the value of x?
Enter your answer in the box.
Answer:
x = 50
Step-by-step explanation:
→ Make the equations equal to each other
2 ( x + 10 ) = 3x - 30
→ Expand brackets
2x + 20 = 3x - 30
→ Minus 3x from both sides
-x + 20 = -30
→ Minus 20 from both sides
-x = -50
Opposite angles are equal
[tex]\\ \sf\longmapsto 2(x+10)=3x-30[/tex]
[tex]\\ \sf\longmapsto 2x+20=3x-30[/tex]
[tex]\\ \sf\longmapsto 3x-2x=30+20[/tex]
[tex]\\ \sf\longmapsto x=50[/tex]
Find m angleA
A. 10
B. 20
C. 16
D. 14
4•d=d•4
Choose the property of real numbers that justifies the equation
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
Commutative Property of Multiplication
a • b = b • a
4 • d = d • 4
"commute = to get up and move to a new location: switch places"
i will give brainliest please help
Answer:
1. 18
2. 15
3. Symmetric Property
Step-by-step explanation:
1. 8 + 10 = 18
2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well
3. Symmetric Property of Equality states that if a = b, then b = a
2[tex]\sqrt{x+5}+4\\[/tex]
[tex]2 \sqrt{x + 9} [/tex]
Answer:
[tex] 2\sqrt{ } \times + 9[/tex]
u understand
A large bag contains 7/12 pounds of nails. How many 1/8 pound bags can be filled with this amount of nails?
Answer: 4 bags
Division is nessacery
7/12 divide by 1/8= 4.6666667
Full bags will be 4
Step-by-step explanation:
Evaluate the expression
please mark this answer as brainlist
Solve the equation for x.
x=
Answer:
x=7
Step-by-step explanation:
A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?
Answer:
5 full time servers and 10 part-time servers
Step-by-step explanation:
Hope this helped, please let me know if it is correct.
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
If f(x) = x3 – 7, show that f-1(x) = Vx+7.
Answer:
f(x)=4−(x−7)
3
Let y=f(x)
So, x=f
−1
(y) ---- ( 1 )
y=f(x)
⇒ y=4−(x−7)
3
⇒ (x−7)
3
=4−y
⇒ x−7=
3
4−y
⇒ x=7+
3
4−y
⇒ f
−1
(y)=7+
3
4−y
.................. [ From ( 1 ) ]
∴ f
−1
(x)=7+
3
4−x
A number less 5 divided by 42
Answer:
It's 0 because if you do 42~4=10.5 and 42~3=14 and 42~2=21 and 42~1=42 and there all more then 5 but on the other hand 0 is less then 5
Step-by-step explanation:
Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft
-3x-2=13
please show steps on how to do
Answer:
x=-5
Step-by-step explanation:
-5*-3=15
15-2=13
Hope it helps
Answer:
x = -5
Step-by-step explanation:
-3x-2=13
Add 2 to both sides of the equation
-3x-2+2=13+2
Simplify
-3x=15
Divide both sides of the equation by the same term
[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]
Simplify
x = -5
Someone tell me if I’m right
Answer:
Yes you are correct
Step-by-step explanation:
1.
WRITE "six million five hundred thousand four" in standard form.
Mr.jones filled his swimming pool with water
then go and swimand enjoy your holiday
I'm so confused, know the answer?
Answer:
P = -10
5p - 8(p + 1) > 16
5(-10) - 8(-10 + 1) > 16
-50 - 8(-9) > 16
-50 + 72 > 16
22 > 16
Help me with question 4 and 5 plz
Also click the photo to see the full question
Answer:
CE (for number 4)
Step-by-step explanation:
sorry i don't know the answer to 5