Answer:
2mi/min
Step-by-step explanation:
Speed=Distance/Time
=160mi/80min
=2mi/min
Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3
Work Shown:
[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]
Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.
The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]
the average attendance at a club fell by 7% in 2015. if 2030 fewer people, how many went in 2014?
Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015
Step-by-step explanation:
What will be the graph of the circle (x-4)^2+(y+3)^2=16
Answer:
x + y - 5 = 0
Step-by-step explanation:
(x-4)² + (y+3)² = 16
To remove the square on the left side, we square root both sides
√(x-4)² + √(y+3)² = √16
The square will cancel the square root on the left side, while the square root of 16 is 4
(X-4) + (y+3) = 4
open the brackets
x-4+y+3=4
x + y = 4 + 4 - 3
x + y = 5
x + y - 5 = 0
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
X + 3 - 3=-6 show all work
Answer:
x = -6
Step-by-step explanation:
[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]
Answer correctly and get brainless and 20 points
Answer:
D. x = 12.4
Step-by-step explanation:
A. (2.4) - 5 = 7.4
-2.6 = 7.4
B. (6.9) - 5 = 7.4
1.9 = 7.4
C. (7.9) - 5 = 7.4
2.9 = 7.4
D. (12.4) - 5 = 7.4
7.4 = 7.4
The ratio of red cars to blue cars in a parking lot was 9 : 7. If there were 72 red cars, how many blue cars were there?
Answer:
56
Step-by-step explanation:
We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.
Hope it helped!
Pleaseeee Helpppp
Point M is located at 1.2 x 10-6. Plot Point M on the number line below
What is the total weight of the steel gate
Answer:
Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...
since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.
now that total length is known, simply multiply by weight/m for total weight
**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.
HELP! HL theorem. Congruent. Geometry algebra. Triangles. Shapes. Math.
Answer:
x = 3
Step-by-step explanation:
x² + 15 = x² + 5x
15 = 5x
15 ÷ 5 = x
3 = x
Please help!! I will mark brainliest with full detailed answer!!
Answer:
Step-by-step explanation:
26. -14
27. -4.732050808
Answer:
26. (-14)
27. −4.732050808
Step-by-step explanation:
26. [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]
Multiplication can be transformed into difference of squares using the rule:
(a − b) (a + b) = a² - b²
[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]
The square of √2 is 2.
[tex]2 - 4^{2}[/tex]
Calculate 4 to the power of 2 and get 16.
2 - 16
Subtract 16 from 2 to get −14.
-1427. [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]
Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.
[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]
The square of √3 is 3.
[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]
Combine -3√3 and 2√3 to get -√3.
[tex]3-\sqrt{3} -6[/tex]
Subtract 6 from 3 to get −3.
-3 - √3
-3 - √3 ≈ −4.732050808name the coefficent 5x+10
Answer:
Coefficient is 5
Step-by-step explanation:
Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Hope this is helpful.
BRAINLIEST
please help me finish these
Answer:
15) 44.6 inches
16) 77.8 degrees
Step-by-step explanation:
15) we are given the angle and length of 16, drawing this out, 16 inches (the height) would be opposite of the angle and the length of the ramp would be hypotenuse.
we know that sine is opposite over hypotenuse, so we can use that to help find the length.
Rearrange:
sin21degrees = opposite/hypotenuse
hypotenuse*sin21degrees = opposite
hypotenuse = opposite/sin21degrees
Sub in values:
hypotenuse = 16/sin21degrees
hypotenuse = 44.6468 inches
16) we are given two side lengths and expected to find an angle, we now need to use the inverse of one of the trigonometric ratios.
Drawing this out, we are given the hypotenuse and adjacent lengths, so we can use the inverse cosine to find the angle
angle = cos^-1 adjacent/hypotenuse
angle = cos^-1 (7/26)
angle = 74.381 degrees
Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?
Answer:
9x-10
Step-by-step explanation:
(4x+10) - (-5x+20)
Open the brackets
4x+10+5x-20
Collect like terms
4x+5x+10-20
9x-10
In AFGH, GH = FG and mZF = 10°. Find mZH.
Answer:
f(x)= 40x
Step-by-step explanation:
Hope this helps, have a nice day/night! :D
8
After a reflection over the line y=-2, which direction will the arrow be facing?
Down
Right
Up
Left
Differentiate y = csc(x)cot(x).
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Using the area model divide, true or false, 79/7 is equal to 11 R 1.
Area models are used to evaluate products and divisions
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
The division equation is given as:
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]
Express 79 as 77 + 2
[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]
Split the expression on the left-hand side
[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]
Divide 77 by 7
[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]
2 divided by 7 is 0 with a remainder of 2
So, we have:
[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]
The equations above are not equal.
This is represented as:
[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]
Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
Read more about area models at:
https://brainly.com/question/18701102
PLEASE HELP FOR BRAINLIEST
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
Answer:
A
Step-by-step explanation:
7x + 3(x - 2) - 4x + 8
7x + 3x - 6 - 4x + 8
Combine like terms:
6x + 2
Hope this helps!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's Simply ~
[tex]7x + 3(x - 2) - 4x + 8[/tex][tex]7x + 3x - 6 - 4x + 8[/tex][tex]7x + 3x - 4x - 6 + 8[/tex][tex]6x + 2[/tex]Therefore, the correct choice is ~ A
Adnan drives 16.5 miles in 10 minutes. He passes a sign which gives the speed limit as 70 mph. By how much, in mph, did Adnan's average speed exceed the speed limit?
=========================================================
Explanation:
10 minutes = 10/60 = 1/6 of an hour
Divide the distance over the time duration to find his speed
speed = distance/time
speed = (16.5 miles)/( 1/6 hr )
speed = 16.5*(6/1) mph
speed = 99 mph
Then subtract off the speed limit posted by the sign.
99 - 70 = 29 mph
Adnan is 29 mph over the speed limit.
Answer: 29 miles/hour (mph)
Step-by-step explanation:
10 minutes is 0.16667 hour (hr).
16.5 miles/0.16667 hr = 99 mph
99 - 70 = 29 mph
Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.
Answer:
y=3x - 8
Step-by-step explanation:
first find slope
10 - 7/6 - 5 = 3
Point - slope
y = 3(x-6)+10
Simplify
y = 3x-18+10
y=3x - 8
what is the answer? HELP MEEE
Answer: 126
Step-by-step explanation:
11+5=16
Step-by-step explanation:
square root of 121 is 11 and cube root of 125 is 5 i.e
11^2=121 and 5^3=125
what is the simplest form 2 sqrt 3 / sqrt 6
howdy the answer is A
sqrt 2
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year
Answer:
The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan
Step-by-step explanation:
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
what is the gcf of 8 and 11?
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.
x+4x=
Какой ответ пожалуйста помогите x+4x= это задача
Step-by-step explanation:
5x
Добро пожаловать
Evaluate 1/5 of 175 please
Answer:
35
Step-by-step explanation:
1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.
[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]Therefore, the answer is 35.
HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6
Answer:
4
Step-by-step explanation:
I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer
Answer:
1/6
Step-by-step explanation:
1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.