Answer:
(f ∘ g)(x) = x²+7x+10
(g ∘ f)(x) = x²+3x+2
Step-by-step explanation:
(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10
(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2
Make sure to review composite functions
At the beginning of the year, Wyatt had $40 in savings and saved an additional $14 each week thereafter. Julian started the year with $20 and saved $19 every week. Let WW represent the amount of money Wyatt has saved tt weeks after the beginning of the year and let JJ represent the amount of money Julian has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the interval of time when Wyatt has more in savings than Julian.
Answer:
4 weeks
Step-by-step explanation:
Wyatt's equation:
t=14w+40
Julian's equation:
t=19j+20
Since both equations equal the same thing, or t, we can equal them against each other as 1 equation
14t+40=19t+20
(subtract 20 from both sides)
14t+20=19t
(subtract 14t from both sides)
20=5t
(divide both sides by 5)
t=4 weeks
What is the solution to the inequality
Answer:
Search Results
Featured snippet from the web
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.
Step-by-step explanation:
help stranger's I'll give u
Answer:
esto es salsa honestamente hermano como um, es realmente extraño por la forma en que mi nombre es Banana a la tasa de dólares estadounidenses dólares estadounidenses
A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
324
Step-by-step explanation:
In a certain town, 80% of all married men are working, and 75% of all married men are over 35 years old. Among working married men, 70% are over 35 years old. What proportion of non-working married men are over 35 years old?
answer: 95%
working is needed
It helps to set up a two way table as shown below. Such tables compare 2 different variables. In this case, we're comparing the variables "working status" and "age".
Specifically, the working status separates the men into "working vs non-working". The age variable splits the men into groups of "35 or younger" and "over 35". Usually, but not always, each variable will take on two values.
Let's say this town had 1000 married men. 80% of this is 0.80*1000 = 800 to indicate there are 800 married working men. So we write this in the "total" column for the "working" row. This leaves 1000-800 = 200 nonworking married men, which will go right under the 800.
We're told that 75% of the married men are over 35, so 0.75*1000 = 750 married men are over 35. This goes in the "total" row for the "over 35" column. There are 1000-750 = 250 married men who are 35 and under.
As you can see, the stuff in the total column and the total row must add back to the grand total of 1000 married men overall.
--------------------------------
Another bit of info given is that "Among the working married men, 70% are over 35". We'll only focus on the "working" row. We have 800 total and 70% of this is 0.70*800 = 560 which is the number of working married men over 35. This leaves 800-560 = 240 married men who are not over 35.
At this point, we have 2 spots left in the table. Through guess and check, or using algebra, you should find that there are 190 non-working men over 35 and 10 non-working men who aren't over 35. Make sure that each row and column total checks out.
--------------------------------
By now, the table is fully filled out. See below.
Your teacher now asks "what proportion of non-working married men are over 35 years old?" which means we'll only focus on the "non-working" row. There are 200 men total here, and of this total, 190 are over 35.
So, 190/200 = 0.95 = 95% of the non-working married men are over 35.
Which equation could be used to solve the question below?
Justine went to the doughnut shop and bought d boxes of 24 doughnut holes. Then, she took 37 doughnut holes to her morning meeting. Now, she has 83 doughnut holes left. How many boxes of doughnut holes did Justine buy in all?
Answer:
5 PLZ GIVE BRAINLIEST
Step-by-step explanation:
83+37 = 120
120/5=24
Evaluate −x when x=16.
Answer:
-x=16
x=-16
Step-by-step explanation:
That is the Answer
Help please
complete the missing information to write a subtraction problem for each number line.
Answer:
-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)
Step-by-step explanation:
A:
1.4 - 2.2 = -0.8
B:
-0.75 - 1.5 = -2.25
C:
-0.2 - 1.8 = -2
Answer:
A. 1.4 - (-0.8) = 2.2
B. -0.75 - (-2.25) = 1.5
C. -0.2 - (1.6) = -1.8
Step-by-step explanation:
i just took the test on edge, and got it right (pls mark me as brainliest)
(10.5 - 7) + (4x3) evaluate the expression
Determine whether each expression was simplified correctly.
Answer:
Only b is correctly simplified.
Step-by-step explanation:
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
Which of the following is the correct ratio for Sine?
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
) 3) What is the difference between explicit and recursive forms of sequences?
Answer:
a recursive formula gives the value of a specific term based on the previous term
Step-by-step explanation:
Topic 1: Translate
The sum of twice a number and 9 is -25."
Answer:
2n + 9 = - 25
Step-by-step explanation:
let the number be n then twice the number is 2n
The sum of 2n and 9 is 2n + 9
the result is - 25 , that is
2n + 9 = - 25
Answer:
x=-17Step-by-step explanation:
The sum of twice a number and 9 is -25."
2x + 9 = -25
2x = -34
x = -17
-----------------------------------------
check
2 * (-17) + 9 = -25
-25 = -25
the answer is good
yall i need help asap! its due in 1hr!!
Answer: I can help!
The answer is (B)
The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.
For the second one the answer is (A)
If you were to look up how much 2000% is you would get 20% so therefore that is the answer.
I hope you do good!
My apologies if anything is wrong.
please help this is due tomorrow and im having a lot of trouble figuring these out
PLEASE HELP ME!!!
Will give Brainlest
Answer: C. (1, 0.80) represents the unit rate
Step-by-step explanation:
Please attach all answer options.
Can someone Please help me on this easy math problem
Answer:
the answer is x4/19P because u add the top of the numerator and times the denominator
Please help
I need to turn it in now
Answer:
Step-by-step explanation:
x=rcosθ=4 cos (-40)=4 cos 40≈3.064
y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571
the vector is (3.064,-2.571)
If $400 Is The Principle and is paid for 2 years at 4% how much is the compound interest
Answer:
=$32
Step-by-step explanation:
Principal Amount=$400
Rate=4%
Time=2 Years
Interest=?
=RPT/100
=4x400x2/100
=$32
....................................................................
Line v passes through points (4,1) and (6, 6). Line w is parallel to line v. What is the slope of
line w
What differences are there between a polynomial equation and a rational equation?
Answer:
It is a fraction
. f (x) = x +12×2-x-1 is an example of rational function.
It has numerator and denominator properties.
vertical asymptotes is the another property of rational function.
Numerater and denominator both are polynomials.
function expressed by numerator and denominator with ratio.
basic help :(
its math
Answer:
the slope or rate of change is 8 over 6 or 4 over 3 4/3
Answer:
the slope or rate of change is 8 over 6 or 4 over 3 4/3
Step-by-step explanation:
Triangle XYZ is shown on the coordinate plane below:
Answer:
(4, -3)
Step-by-step explanation:
X is 4 units away from y=1, so 4 units further away is -3. The Y value of the point stays the same.
What is the volume of this figure?
A. 192 cm
B. 49 cm3
C. 343 cm3
D. None of the above
[tex]\qquad[/tex]____________________
It’s given–
Length of one side is = 7cm[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]
Hence, option C is the correct option!Need help ASAP! Directions in picture ;)
Answer:
30
Step-by-step explanation:
130 + 20 = 150
All angles added together in a triangle equal 180 so...
180 - 150 = 30
I hope this helps!
Sally earns commission for selling cars at the Nissan dealership. She earns 5.5% on
every car she sells. Last month, she sold 7 cars for a total of $160,000. What was
Sally's commission last month?
Answer:
8800
Step-by-step explanation:
Ricky has seven dollars and one cent.
How is that amount written using a dollar sign?
Answer:
$7.01
Step-by-step explanation:
Answer:
$7.01
Step-by-step explanation:
You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.
Which integer in the set has the smallest value (-17, -7, -12, 2)? A. 2 B. -7 C. -12 D. -17
The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
Learn more about integers at
https://brainly.com/question/12399107
#SPJ1
1/3x^2 = -3
The solution to the equation is ___?
[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]