Multiply the amount owed by 20% by changing the percent to a decimal.
20% = 0.20
200 x 0.20 = 40
The late fee is $40
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
(g o f) (x) = g ( f(x) )
= (x+7)² – 1
= x² + 14x+49 – 1
= x² + 14x+48
If you want, (f o g ) (x) below is the solution ^_^
(f o g ) (x) = f ( g(x) )
= g(x) + 7
= x²-1 +7
= x² +6
I hope I helped you^_^
Help!
Which expression is equivalent to—
Answer:
2a
Step-by-step explanation:
[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]
➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]
➡️ [tex] = 2a[/tex] ✅
Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States
Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
~
There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?
Answer:
[tex]\frac{10}{49}[/tex]
Step-by-step explanation:
There are 23 red candies, 16 blue candies and 10 yellow candies.
Which means altogether we have..
23 + 16 + 10= 49
49 candies.
To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.
So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]
10 YELLOW CANDIES
49 CANDIES
Are the following equivalent -3x=-x-2x
Answer:
Yes.
Step-by-step explanation:
By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.
Answer:
Yes They are Equivalent.
Step-by-step explanation:
R.H.S (Right Hand Side)
- x - 2x
=> 3x = L.H.S(Left Hand Side)
The radius of a circle is 4.0 millimeters. Find the diameter,
??
Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61
Answer:
223/29
Step-by-step explanation:
5x+3y=10 . multiply by 4
3x-4y=61 . multiply by 3
20x+12y=40
+ 9x-12y=183
_____________
29x-0y = 223 . divide both sides by 29
x = 223/29
calculus graph please help
Answer:
See Below.
Step-by-step explanation:
We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).
Part A)
f is increasing whenever f' is positive and decreasing whenever f' is negative.
Hence, f is increasing for the interval:
[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]
And f is decreasing for the interval:
[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]
Part B)
f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.
f' turns from positive to negative at x = -2 and x = 1.
And f' turns from negative to positive at x = -1 and x = 3.
Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.
Part C)
f is concave up whenever f'' is positive and concave down whenever f'' is negative.
In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.
Hence, f is concave up for the interval (rounded to the nearest tenths):
[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]
And concave down for the interval:
[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]
Part D)
Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.
In other words, f has an inflection point wherever f' has an extremum point.
f' has extrema at (approximately) x = -1.5, 0, and 2.2.
Hence, f has inflection points at x = -1.5, 0, and 2.2.
One number is 7 more than 4 times another number if the sum of the numbers is 22 find the numbers
Answer:
3 and 19
Step-by-step explanation:
The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.
Small number= x= 3
Big number= 4x+7= 12 + 7 = 19
State the gradient of the line perpendicular to the line y=3x-2
Answer:
-1/3
Step-by-step explanation:
3 is the gradient of the other line
m1×m2=-1 (equation for perpendicular lines)
m1×3= -1
m1= -1/3
Pls confirm if its correct
correct me if wrong
thanks! :)
What element in the domain has image 7 in the function f(x) = x²– 2?
a. 3 b) 9 c) -1 d) 4
Answer:
[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]
Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2
A. 3 is the right answer.Which of the following is a reciprocal of 5
Hi :)
The reciprocal of 5 is 1/5.
Every number has a reciprocal except 0.
For example
5/1 is just 5 but the reciprocal of that would be 1/5.
Essentially flipping the fraction.
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.
Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].
A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost of the pen?
Answer: D
Step-by-step explanation:
$7 = cost of book
(p) = cost of pen as a variable
add them together, for total price: $9
7+p=9
Please Help Me I Will Give Brainliest
Answer:
Top left option
Step-by-step explanation:
There are a total of 10 boxes so
x + y = 10
The question states that x = 20 pound boxes and y = 30 pound boxes
20x + 30y = 280
= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?
Answer:
Step-by-step explanation:
At 8:28 exactly one hour had gone by.
To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18 (48 - 2)
Answer: 1 hour and 18 minutes.
A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.
The answer is 7.
To prove whether this is correct or not, just test it with the given conditions,
7x4+4=46.
Does 2x23=46?
Yes.
So, therefore,
The answer is 7.
Answer:
x=13
Step-by-step explanation:
6x+4=82
6x=78
WILL MARK AS BRAINLIEST
Answer:
... uhh I'm only in middle school but uhh I think 25??
Find the length of the arc.
8 m
315°
[tex]s = 44.0\:\text{m}[/tex]
Step-by-step explanation:
First convert the angle into radian measure:
[tex]315°×\left(\dfrac{\pi}{180°}\right) = 5.50\:\text{rad}[/tex]
The arc length s is given by
[tex]s = r\theta = (8\:\text{m})(5.50\:\text{rad}) = 44.0\:\text{m}[/tex]
Distrubutive property
(m-3)(-10)?
Answer: -10m + 30
Step-by-step explanation:
Given expression
(m - 3) (-10)
Expand parentheses and apply the distributive property
=m · (-10) - 3 · (-10)
Simplify by multiplication
=[tex]\boxed{-10m+30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...
y = constant
In order for that line to go through a point with y-coordinate 7, the line must be ...
y = 7
Write in decimal form 0x100+ 6x10+ 5x1+ 2x(1/10+ 1x(1/00+ 4x(1/1000
Answer:
65.214
Step-by-step explanation:
0*100+6*10+5*1+2*(1/10+1*(1/100+4*(1/1000
0+60+5+2(1/10+1(1/100+4(1/1000
65+(0.2+0.01+0.004
65+0.214
65.214
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________
Find the percentage of the people who like Chocolate = chocolate/ total x 100
Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)
A full circle is 360 degrees.
The central angle = percentage of chocolate x 360:
0.416666 x 360 = 150
The central angle for chocolate is 150 degrees
How would I graph this?
Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
How many yards did she get?
A. 9.25 yards
B. 10.05 yards
C. 8.45 yards
D. 8.25 yards
Answer:
D
Step-by-step explanation:
All we need to do is divide the values we are given.
12.21 / 1.48 = 8.25
Best of Luck!
In the cylinder r = 8 cm and h = 4 cm what is it volume by cm
Answer:
804.25 cm³
Step-by-step explanation:
V = πr²h
V = π * (8 cm)² * 4 cm
V = 3.14159 * 64 cm² * 4 cm
V = 804.25 cm³
convert 40meters to centimeters
Answer:
4000 centimeters
Step-by-step explanation:
40 cm x 100 = 4000 cm
if radius of circle is decreased by 50% its area is reduced by
Answer:
0.25 or 25%
Step-by-step explanation:
because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%
How is the expression 3 x 1/10 written as a decimal
A)3
B).3
C).03
D).003
Answer:
B)
Step-by-step explanation:
3.0 / .1 = 0.3
Answer:
3×1/10=0.3 in decimals.
Step-by-step explanation:
3×1÷10
3÷10
0.3
1 tenth + 2 tenths = blank tenths =
Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
please help me to find out the answer because I have to show my hw to my teacher
Answer:
2a^3 + 24ab^2
Step-by-step explanation:
yes that is the answer 100%