Answer:
2.25
Step-by-step explanation:
2.25 is a rational number sq root of 2.25 is = 1.5 and we can also write 1.5 in p/q form =15/10 so it is a rational number.
20 points!!! Will mark brainlist to whoever gives me the correct answers with the work:)
Use the information below for Part A, Part B, and Part C.
f(x) = 1/2x -7
g(x) = 2x + 14
Part A: Find (fog)(x). Show your work.
Part B: Find (gºf)(x). Show your work.
Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.
Answer:
(1/2(2x+14)-7) = 1x+7-7= x g(f(x))= 2(1/2x-7)+14= x-14+14= xWe have the result being two variables of linearity hence they are not inverses. In order to be inverses they should have had switched notations, ie: -x vs x9514 1404 393
Answer:
A: (f∘g)(x) = x
B: (g∘f)(x) = x
C: the functions are inverses
Step-by-step explanation:
A: (f∘g)(x) = f(g(x)) = f(2x +14)
= 1/2(2x +14) -7 = x +7 -7 = x
(f∘g)(x) = x
__
B: (g∘f)(x) = g(f(x)) = g(1/2x -7)
= 2(1/2x -7) +14 = x -14 +14 = x
(g∘f)(x) = x
__
C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.
I NEED HELP FAST PLEASE !!!!!!!!!!! The grade of a hill steepness represented as a percent. Jim tracks his walking speed up different hills. What does the rate of change , or slope , represents in this situation a= the rate represents an increases in speed for each 1% b= the rate represents a decrease in speed for 1% grade c = the rate represents a decrease in speed for each 1% grade increase D= the rate represents no change in speed for each 1% grade decrease
Answer:
C
Step-by-step explanation:
slope=walking speed /%
negative slope
so that rules out a and d
and you can see that as the percent increases the speed decreases.
so I think It would be C.
In triangle EFG, the measure of angle E is 97 and the
measure of angle Fis 15° What is the measure of angle G?
By using triangle sum theorem in triangle EFG, measure of the unknown angle ∠G will be 68°.
Calculations for the measure of angles in a triangle:
Measures of the angles in a triangle has been given as,
m∠E = 97°
m∠F = 15°
By triangle sum theorem,
m∠E + m∠F + m∠G = 180° (Sum of interior angles of a triangle is 180°)
97° + 15° + m∠G = 180°
m∠G = 180 - 112
m∠G = 68°
Therefore, measure of the third angle (∠G) of ΔEFG will be 68°.
Learn more about the interior angles of a triangle here,
https://brainly.com/question/22967199?referrer=searchResults
add: 3xy -40xy + x (2+y)
Answer:
x (y + 2) - 37 x y
Step-by-step explanation:
2 x (1 - 18 y)
-2 x (18 y - 1)
x (2 - 36 y)
Expanded form:
2 x - 36 x y
Roots:
x = 0
y = 1/18
Properties as a function:
Domain
R^2
Mark borrows $2500. His loan is for 6 months and has a 12% interest rate.
How much interest will Mark pay on the loan?
Answer:
either 300 or 1800
Step-by-step explanation:
depends on if they are counting for one month or the whole 6 months.
Answer:
$150.00
Step-by-step explanation:
2500x.12x.5= 150.00
Jamila buys a pair of shoes for $22. She pays sales tax of 6.5% on the cost of the shoes. How much is the total cost of her shoes?
Answer:
23.43
Step-by-step explanation:
22 + 6.5% = 23.43
Which expression is equivalent to -4x - 36?
A. 4(x - 9)
B. 2(2x - 18)
C. -2(2x - 18)
D. -4(x + 9)
D. -4(x+9)
For this you distribute the number outside the parentheses to both numbers inside.
A. 4(x-9)=
4x-36
B. 2(2x-18)=
4x-36
C. -2(2x-18)=
-4x+36
D. -4(x+9)=
-4x-36
Therefore, D is the answer
Find f^-1(x) where
f(x) = 3x + 2 / x
Answer:
denoted interchange solve
Step-by-step explanation:
y= (2-x)/3 Let f(x) be denoted by y, thus y= -3x+2 Now interchange x and y, it becomes x= -3y+2 Solve for y, y= (2-x)/3 This is f^(-1) x
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
Simplify the expression by combining all the like terms 6+2x+5+4x
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
Which expression is equivalent to (4~6.44+
Answer:
700000-33
Step-by-step explanation:
gimmie a like ding for b+
Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
Answer:
The top three that are first :)
Step-by-step explanation:
How many proportional relationships are shown in the coordinate plane below?
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
I need help please ASAP
How many tiles are used to model “x+3” in x+3=7 and how did you know?
x- tiles:
3-tiles:
Answer:
Your answer
Step-by-step explanation:
X=4
x stands for an unknown number subtract 7-3=4
therefore... X=4
i'm in algebra one I know math.
HAVE A GREAT WEEK! :)
Across what line of reflection was the angle reflected in the coordinate plane below?
Answer:
Let us revise the reflection
If point (x , y) reflected across the x-axis, then its image is (x , -y)
If point (x , y) reflected across the y-axis, then its image is (-x , y)
If point (x , y) reflected across the line y = x, then its image is (y , x)
If point (x , y) reflected across the line y = -x, then its image is (-y , -x)
∵ Point A (-5 , 8) is reflected across the line y = x
∵ If point (x , y) reflected across the line y = x , then its image is (y , x)
∵ x = -5 and y = 8
- Switch x and y
∴ The image of point A is A' = (8 , -5)
solve the equation 1/2y + 4=2
11 is what percentage of 16? Round the nearest tenth.
Answer:
.69, but you can round it to .70 because of the 9
Step-by-step explanation:
70%
Answer:
This can be calculated by dividing 11 over 16, which is equal to about 0.69.
Let me know if this helps!
CAN SOMEONE HELP ME PLZ I NEED HELP
Answer:
1200 per time
Step-by-step explanation:
Evaluate: ab when a = 2 and b=4
Answer:
8
Step-by-step explanation:
ab = 2 * 4 = 8
Answer:
8
Step-by-step explanation:
ab when a = 2 and b = 4
First, plug in the values into the expression.
ab = (a)(b)
(2)(4)
When two numbers are set next to each other in parentheses, you are multiplying them.
2 × 4 = 8
Therefore, ab = 8
Hope this helps!
If an item has an original price of $65, but is discounted 20%. What is the total cost after sales tax (.0825)?
Answer:56.29$
Step-by-step explanation:
65 x .80 = 52
52 x 1.0825 = 56.29
<Brainliest is appreciated!>
Answer:
$56.29
Step-by-step explanation:
Original price = $65
discount = 20%
hence discounted price = 100% - 20% = 80% of the original price
discounted price = 80% x $65 = $52
sales tax rate = 0.0825 (i.e 8.25%)
amount of sales tax paid
= 0.0825 x discounted price
= 0.0825 x $52
= $4.29
Final cost
= discounted price + sales tax
= $52 + $4.29
= $56.29
please check my answer!!!!!!
Answer: Its correct
Step-by-step explanation:
Given the inequality of x < 5, select all the
possible solutions that will make this inequality true.
Ua
7
b
5
Jc
8
d
-3
e
4
-1,245
0
Dh
6
Factorise
21x squared - 14x
Answer:
7x(3x - 2)
Step-by-step explanation:
[tex]21 {x}^{2} - 14x \\ \\ = 7x(3x - 2)[/tex]
what's a good app to use for solving geometry ?
Answer:
uhh I would say this one if people help u out atleats
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Write 90 as a product of primes.
Answer:
hey i got that same qustiom=n but i ddint know how to do it
Find the sum (7b -4) + (2b+ a + 1)
Answer: (9b + a - 3)
Step-by-step explanation: Good luck! :D
Answer:
a=9b-3
Step-by-step explanation:
The scale on a map is 1cm=30km the map distance between two town is 3.5cm
1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. However, the frogs will only be weighed two at a time! Dorris and Borris weigh 12lbs altogether. Borris and Morris weigh 16lbs altogether. Dorris and Morris weigh 14lbs altogether. How much does each frog weigh?
Answer:
Their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
Step-by-step explanation:
Let the weights of the frogs be:
Dorris = d
Borris = b
Morris = m
given:
d + b = 12 - - - (1)
b + m = 16 - - - (2)
d + m = 14 - - - (3)
from (3)
d + m = 14
m = 14 - d - - - (4)
putting the value of m into equation 2:
b + m = 16
b + (14 - d) = 16
b - d + 14 = 16
b - d = 16 - 14
b - d = 2
b = 2 + d - - - - (5)
putting the value of 'b' in equation 5 into equation (1)
d + b = 12 - - - (1)
where: b = 2 + d - - - (5)
∴ d + (2 + d ) = 12
d + d + 2 = 12
2d = 12 - 2
2d = 10
∴ d = 10 ÷ 2 = 5
d = 5
putting the value of 'd' into eqn (5)
b = 2 + d - - - - (5)
where d = 5
b = 2 + 5 = 7
b = 7 lbs
to find 'm', let us use eqn (3)
d + m = 14 - - - (3)
where d = 5
∴ 5 + m = 14
m = 14 - 5 = 9
m = 9 lbs
Therefore their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
The diagram shows rectangle rstu with two diagonals drawn. To find the value
Answer:
Step-by-step explanation:
b