Answer:
see below (I hope this helps!)
Step-by-step explanation:
Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.
Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000. Which function calculates his monthly earnings (E) as a function of m, his monthly sales?
A) E(m) = 2,000 + 0.15(m 20,000)
B) E(m) = 2,000 + 0.15(m + 20,000)
C) E(m) = 2,000 + 15(m - 20,000)
D) E(m) = 2,000 + 15(m+ 20,000)
Answer:
E(m) = 2,000 + 0.15(m + 20,000)
Step-by-step explanation:
The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.
We need to calculate his monthly earnings (E) as a function of m, his monthly sales.
What are the composition functions?The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.
Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).
The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Learn more about composition functions here: brainly.com/question/10687170
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Please help me on this question
Answer:
please mark my answer brainliest
Step-by-step explanation:
11 students 26 students that 2 small divisions =1 unit =1 studentTwo of the sides of a triangle are $18$ and $25.$ The length of the third side is also a positive integer. How many different possible values are there for the third side length? Ps: (Geometry Problem) Have fun!
Answer:
A set of all positive integers between 7 and 43.
Step-by-step explanation:
If a triangle is given with the sides a, b, c, triangle is possible when,
a + b > c
a + c > b
b + c > a
Following the same rule in a triangle having side lengths 18, 25 and l unit.
18 + 25 > l ⇒ l < 43
18 + l > 25 ⇒ l > 7
25 + l > 18 ⇒ l > -7
Therefore, length of the third side of the triangle will be,
7 < l < 43 (A set of positive integers between 7 and 43)
Whats 36/2/3 simplify
Answer:
6
Step-by-step explanation:
This is calculated in order from left to right. This is same as: (36/2)/3
36/2/3= 18/3=6Note:
It would be calculated as below if the parenthesis was differently applied:
36/(2/3) = 36* 3/2 = 54Answer:
6
Step-by-step explanation:
please answer will reward with brainliest if you give me the answer and an explanation.
Answer:
Root 37
Step-by-step explanation:
All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.
How many ways can 4 people sit in a table of 6 seats? A.120
B.24
C.360
D.15
Answer:
I thought it would be 24
write the product of 2 and q
Answer:
2q
Step-by-step explanation:
The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.
For each problem, find the missing value using the Pythagorean Theorem
Answer: [tex]\sqrt{66}[/tex]
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 + [tex]\sqrt{50} ^2[/tex] = C^2
16 + 50 = c^2
66 = c^2
c =[tex]\sqrt{66}[/tex]
Which expression is equivalent to (3^4 • 5^4)^-3
A. 1/15^3
B. 15^-48
C. 1/15^12
D. 15^5
Tania chose B as the correct answer, How did she get that?
3^4*5^4 = (3*5)^4 = 15^4
Raise this to the exponent -3 and we get
(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)
The last step is to use the rule
x^(-k) = 1/( x^k )
So,
15^(-12) = 1/( 15^12 )
The answer is actually choice CIt seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)
Put the following numbers in order from least to greatest: 24.4, 24.54, 24.304, 24.24
Answer:
24.24, 24.304, 24.4, 24.54
Step-by-step explanation:
My question is 9 + 12n
Answer:
3(3 +4n)
OR
9 + 12n
Step-by-step explanation:
9 + 12n
Factorize it
3(3 +4n)
OR
The answer is the same.
Since we can't add a number with a number and letter. So in that case the answer is ;
9 + 12n.
Hope it helps!!Please mark me as the brainliest!!!Thanks !!!!
How do I find the x and y intercept in
y= 1/5 X - 7
Answer:
to find the x-intercept, set y to 0.
0 = 1/5x - 7
7 = 1/5x
35 = x
(35, 0)
to find the y-intercept, set x to 0.
y = 1/5(0) - 7
y = 0 - 7
y = -7
(0, -7)
(3x − 4)(2x2 + 2x − 1)
Answer:
6x3−2x2−11x+4
Step-by-step explanation:
the numbers after the x are squared
domain and range of a function
Answer:
The domain of a function is the set of all possible inputs for the function. The range of a function is the set of all possible outputs for the function.
Step-by-step explanation:
Someone help please thank you
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]
And we want to find:
[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]
1)
Recall that:
[tex](f\circ g)(x)[/tex]
is the same as:
[tex]=f(g(x))[/tex]
Thus, we can substitute g(x):
[tex]=f(9-2x)[/tex]
And substitute that into f(x):
[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]
Distribute:
[tex]=72-16x-5[/tex]
Subtract and simplify:
[tex]=67-16x\\=-16x+67[/tex]
Thus:
[tex](f\circ g)(x)=-16x+67[/tex]
2)
Similarly:
[tex](g\circ f)(x)=g(f(x))[/tex]
Substitute f(x):
[tex]g(f(x))=g(8x-5)[/tex]
Substitute:
[tex]g(8x-5)=9-2(8x-5)[/tex]
Distribute:
[tex]=9-16x+10[/tex]
Simplify:
[tex]=-16x+19[/tex]
Therefore:
[tex](g\circ f)(x)=-16x+19[/tex]
Solve for r 28=4r+28
Answer:
r = 0
Step-by-step explanation:
Subtract 28 from each side, so it now looks like this: 0 = 4rDivide each side by 4, to cancel out the 4 attached to the r. It should now look like this: 0 = r.0 remains a 0 because 0 can't be divided.Therefore, r = 0.
Check to see if it works:
4 × 0 = 0. This is because anything times 0 is 0.Plug 0 in: 28 = 0 + 280 + 28 = 28Therefore, we know 0 is the right answer because as it says in the last step,
0 + 28 is indeed equal to 28, which the problem says is the answer.
Answer: [tex]x=0[/tex]
Flip the equation
[tex]4r+28=28[/tex]
Subtract 28 from both sides
[tex]4r+28-28=28-28\\4r=0[/tex]
Divide both sides by 4
[tex]4r/4=0/4\\x=0[/tex]
Name an angle that is supplementary to
Answer:
to what?
Step-by-step explanation:
PLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME RIGHT NOW ASAP Pineapples are on sale for $1.50 per pound. Let y be the total cost in dollars of x pounds of pineapple which equation represents the situation
Answer:
y = 1.5x
Step-by-step explanation:
Cost of pineapples:
$1.50 per poundx pounds of pineapple will cost:
x*$1.50 = $ 1.5xThis function is represented as:
y = 1.5xPLEASE HELPWILL GIVE BRAINLIEST 1/x+7 = 15/5(x+7) - 2 or [tex]\frac{1}{x+7} = \frac{15}{5(x+7)} - 2[/tex]
Greetings from Brasil...
We will pass the - 2 to the 1st member
2 + [1/(X + 7)] = 15/(5(X + 7))
simplifying the numerator and denominator of the 2nd member
2 + [1/(X + 7)] = 3/(X + 7)
solving the sum of the 1st member
(2X + 15)/(X + 7) = 3/(X + 7)
product of the means by extremes
(2X + 15) · (X + 7) = 3 · (X + 7)
2X² + 15X + 14X + 105 = 3X + 21
2X² + 29X - 3X + 105 - 21 = 0
2X² + 26X + 84 = 0solving this 2nd degree equation
Δ = b² - 4.a.c
Δ = 26² - 4 . 2 . 84
Δ = 676 - 4. 2 . 84
Δ = 4
X' = (-26 + √4)/2.2 X'' = (-26 - √4)/2.2
X' = -24 / 4 X'' = -28 / 4
X' = -6 X'' = -7The price of a winter coat and a 20% discount
Hey, your question is incomplete so, plz write complete question to get the required answer
5x+7+3x=-8+3x please solve it before 8:30
Answer:
x=-3
Step-by-step explanation:
5x+7+3x=-8+3x
Combine like terms
8x+7 = 3x-8
Subtract 3x from each side
8x+7-3x = 3x-8-3x
5x+7 = -8
Subtract 7 from each side
5x+7-7 = -8-7
5x = -15
Divide each side by 5
5x/5 = -15/5
x = -3
please help me on this
Answer:
Median
Step-by-step explanation:
A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.
I need #5 and #7 answered please.
Answer:
Step-by-step explanation:
5). y = 4 - x²
Table for the points on this function will be,
x -2 -1 0 1 2
y 0 3 4 3 0
Therefore, Domain of the function will be: (-∞, ∞)
And Range of the function will be : (-∞, 2]
7). [tex]y=2+\sqrt{x-1}[/tex]
This function is defined from the values of x ≥ 1
Table for the input-output values of this function is,
x 1 2 5 10 17
y 2 3 4 5 6
Therefore, Domain of the function will be: [1, ∞)
And Range of the function : [2, ∞)
What is the difference between law and scientific law.
Answer:
A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.
Step-by-step explanation:
Answer:
law is federal
Step-by-step explanation:
ik
How to solve -13 - ¼h = 7
Solve the equation. Determine if there there is no solution, infinite solutions, or one solution. —2 (x - 2) - 4x = 3 (x + 1) – 9x O Infinite Solutions O No Solution O One Solution; x = -1/12 O One Solution; x = -1
Answer:
(no solutions exist)
Step-by-step explanation:
The area of a triangle is 150 cm- and its sides are in the ratio 3: 4:5. What is its perimeter?
(A) 10 cm
(B) 30 cm (C) 45 cm
(D) 60 cm
The area of a rectangle is 560 cm^2. The length is 3 more than twice the width. Find the dimensions of the rectangle.
Let the width be x.
Then,length = 2x + 3
Area of rectangle = 560 [ Given ]
⇒ l × b = 560
⇒ ( 2x + 3 ) x = 560
⇒ 2x² + 3x - 560 = 0
⇒ 2x² + 35x - 32x - 560 = 0
⇒ x ( 2x + 35 ) - 16 ( 2x + 35 ) = 0
⇒ ( x - 16 ) = 0 and ( 2x + 35 ) = 0
⇒ x = 16 and x = -35/2 [ Ignore negative number ]
★ Width = x = 16 cm
★ Length = 2x + 3 = 2 × 16 + 3 = 32 + 3 = 35 cm
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.
Answer: n> or equals to 3
Step-by-step explanation:
Find explanation on the attachment
Find all values of $x$ such that 9+27/x+8/(x^2)=0
Answer:
Step-by-step explanation:
Multiply by x^2 on both sides
9x^2+27x+8=0
Factor.
The answers are -1/3, -8/3