Answers
Answer:
Ok, we can define a function as a relation that maps elements from a set (the domain) into elements from another set (the range), such that each element in the domain can be mapped into only one element of the range.
2) Here you choose the autographed poster, and we know that each one of these costs $10.
So, if the artist sold x posters, then he/she would earn x times $10:
earnings = $10*x
So we can create a function:
f(x)
such that f(x) represents the total earnings of the artist for selling x posters.
And we already know the equation for the earnings, so the function will be:
f(x) = $10*x
3) Now, it asks us if the values:
-2, -1, 0, and 1
be appropiate for the domain of the function.
Remember that x represents the number of posters that the artist sold.
Then, if we take x = -2 or x = -1 (like the first two given values) this would mean that the artist sold a negative number of posters, which has no real sense in the situation given. So we can conclude that these values should not be in the domain of the function.
For the other two cases, 0 and 1, these two can be in the domain, because these represent the case where the artist sold only one poster and the case where the artist did not sell any poster (that are two possible cases)
Related Questions
ASAP!!!
-Will mark Brianist
-Please explain
Answers
Answer:
They are similar because if you do the expression shown for the first expression it will equal the same thing since 6 x 4d = 24d and 6 x p = 6p
24d + 6p which is equivalent to 24d + 6p
You use the distributive property.
You have 6(4d + p) and 24d + 6p
the 6 is being multiplied into each number in the (), so it is basically
6 x 4d + 6 x p
that gives you 24d + 6p, which is why they are equal
y=7(3)^-4 please helpppp
Answers
Answer:
Step-by-step explanation:
y=7(3)^-4
y=7*1/3^4
y=7/81
Round answer to the nearest hundredth
Answers
Answer:
10.7
Step-by-step explanation:
use
a^2+b^2=c^2
...........
Answer:
x ≈ 10.72
Step-by-step explanation:
Use the Pythagorean Theorem, or
a² + b² = c²
to find x.
a² + b² = c²
9² + x² = 14²
81 + x² = 196
Subtract 81 from both sides.
x² = 115
Take the square root.
x = √115
When rounded to the nearest hundredth as a decimal, the answer is
x = 10.72.
The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standing at a horizontal distance of 100 m and sights the top of the hill using an angle of 17°. i) Let ‘h' represent the height of the hill and ‘d' represent the horizontal distance. ii) Set up the appropriate trigonometric ratio to determine the height of the hill. iii) Replace the variables with the appropriate values.
Answers
Answer:
[tex](a)\ h = d * \tan(\theta)[/tex]
[tex](b)\ h = 30.57m[/tex]
Step-by-step explanation:
Given
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
[tex]h = ??[/tex]
See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:
[tex]\tan(\theta) = \frac{h}{d}[/tex]
Multiply both sides by d
[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]
[tex]d * \tan(\theta) = h[/tex]
Rewrite as:
[tex]h = d * \tan(\theta)[/tex]
Solving (b): The value of h
We have:
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
So:
[tex]h = 100m * \tan(17^o)[/tex]
[tex]h = 100m * 0.3057[/tex]
[tex]h = 30.57m[/tex]
Find the cofunction of the expression with the same value as tan(2pi/11).
Answers
Answer:
The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].
Step-by-step explanation:
In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:
[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]
[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]
[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]
[tex]0.642 = \frac{1}{1.556}[/tex]
[tex]0.642 = 0.642[/tex]
Arturo is making an appetizer for a dinner party. The recipe calls for 3 cloves of garlic for 7 servings. There are 50 people attending the dinner party, approximately how many cloves of garlic will Arturo need? (Round to the nearest whole number) *
Answers
Answer:
21.42 cloves of garlic
Step-by-step explanation:
50 ÷ 7 = 7.14
7.14 x 3 = 21.42
which property of equality is used to solve -9.5=x/1.6
Answers
Answer:
x=-15.2
Step-by-step explanation:
What is the value of this expression? 6 (24÷ 3) - 2
Answers
Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answers
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h
PLEASE HELP ME WITH THIS
Answers
Answer:
Step-by-step explanation:
angle 1=130 degree(being alternate angles)
angle 2=50 degree
angle 2 +130=180 degree(being co interior angle)
angle 2=180-130
angle 2=50 degree
Answer:
m<1 = 50
m<2 = 130
Step-by-step explanation:
From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.
To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.
180 - 130 = 50
So m<1 = 50
The sum of the ages of Mark, Tim and Jane is 39. In 5 years, the ratio of Mark's
5 age to
Tim's age to Jane's age will be 10:9:8. How old is Mark now?
A.
В.
C.
D.
15
14
13
20
Answers
Answer:
A. 15
Step-by-step explanation:
10 : 9 : 8
Mark: 10x
Tim: 9x
Jane: 8x
(10x - 5) + (9x - 5) + (8x - 5) = 39
10x - 5 + 9x - 5 + 8x - 5 = 39
27x - 5 - 5 - 5 = 39
27x - 15 = 39
27x - 15 + 15 = 39 + 15
27x = 54
27x ÷ 27 = 54 ÷ 27
x = 2
Mark: 10x - 5
10x - 5
10(2) - 5
20 - 5
15
what is the value of the expression? 2.5(j x k)/j when j=6 and k=4
Answers
Answer:
10
Step-by-step explanation:
=2.5(6*4)/6
=2.5*4(6 and 6 gets cancel)
=10
Write the letter of every special quadrilateral that has the given property. (I will give brainliest)
Answers
look it up hare
sorry if it's not what your looking for
find the zeros the polynomial fx=2x^2 +9x-5
pls help with steps
Answers
Answer:
-5 ; 1/2
Step-by-step explanation:
GIVEN :-
A quadratic polynomial f(x) = 2x² + 9x - 5TO FIND :-
Zeroes of f(x) = 2x² + 9x - 5GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-
Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.
⇒ (x - α) = 0 & (x - β) = 0
⇒ x = α & x = β
Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).
SOLUTION :-
Factorise f(x) = 2x² + 9x - 5.
Split its middle term.[tex]=> 2x^2 + 10x - x - 5[/tex]
Take '2x' common from first two terms & '-1' from last two terms.[tex]=> 2x(x + 5) - 1(x + 5)[/tex]
Take (x + 5) common from the whole expression.[tex]=> (x + 5)(2x - 1)[/tex]
So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.
⇒ (x + 5) = 0 & (2x - 1) = 0
⇒ x = -5 & x = 1/2
∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)
VERIFICATION :-
1) Put x = -5 in f(x) = 2x² + 9x - 5
⇒ f(-5) = 2(-5)² + 9×(-5) - 5
= 50 - 45 - 5
= 50 - 50
= 0
2) Put x = 1/2 in f(x) = 2x² + 9x - 5
[tex]f(\frac{1}{2} ) = 2 \times (\frac{1}{2} )^2 + 9 \times \frac{1}{2} - 5[/tex]
[tex]= 2 \times \frac{1}{4} + \frac{9}{2} - 5[/tex]
[tex]= \frac{1}{2} + \frac{9}{2} - 5[/tex]
[tex]= \frac{ 1 + 9 - 10}{2}[/tex]
[tex]= \frac{0}{2}[/tex]
[tex]= 0[/tex]
is 4+3=1+6 correct?.................................................................................................
Answers
Answer:
Correct
Step-by-step explanation:
4 + 3 = 7
1 + 6 = 7
Therefore the statement is true :)
Answer:
4+3=1+6 is correct
Step-by-step explanation:
4+3=7
1+6=7
Very complicated math lol
please help this is due soon
Answers
Answer:
-3
Step-by-step explanation:
The number 4 is the plotted point on the y-axis, meaning the next point would be located down 3 and right 1 (-3 over 1) and so on. The rise over run is the m in y=mx+b.
Please help me with this question no links please.
Answers
The reason is because taking the information given, the diameter and then given the formula, you can just fill in those letters with the numbers.
pi = 3.14
diameter = 3.5
Formula: C = (3.14) X 3.5
C = 10.99 inches
Five friends go to a fall festival and they each pay an entry fee of $10. The friends then each spend the same amount of money on lunch at the festival and don’t spend any other money. Altogether, the friends have spent $120.
Answers
Answer:
Each friend pays $14 on lunch
Step-by-step explanation:
If −15 + 3x = −7 + 5x, then 6x =_____?
Answers
Answer:
-15+3x=-7+5x
-15+7=5x-3x
-8=2x
-8/2=x
-4=x
6x=6*-4
=-24
Step-by-step explanation:
Answer:
[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]
What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft
Answers
Given:
The diameter of a circle = 20 feet
To find:
The exact circumference of the circle.
Solution:
We know that the radius is half of the diameter of the circle.
The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.
The circumference of the circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
Substituting [tex]\pi = 3.14, r=10[/tex], we get
[tex]C=2(3.14)(10)[/tex]
[tex]C=(6.28)(10)[/tex]
[tex]C=62.8[/tex]
Therefore, the exact circumference of the circle is 62.8 feet.
Note: All options are incorrect.
The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
Answers
Can someone explain to me how the Pythagorean theorem works??
Answers
Answer:
By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle. Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. ... If a2 + b2 = c2, then the triangle is right.
Step-by-step explanation:
8) A pencil is made up of which composition of 3D solids?
a. Pyramid and Cube
b. Sphere and Cylinder
C. Cylinder and Cone
d. Triangular Prism and Cone
Answers
Which of the following best describes a circle?
O A. Any point on a plane that is a set distance from another point
called a center
B. All the points that are the same distance from a single center
point
C. A curved segment that is equidistant from a given point
D. All the points on a plane that are the same distance from a single
point called a center
someone helpp me pls
Answers
AHHHHHHHHHHHHHHHHHHHH
Answers
Answer and Step-by-step explanation:
THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.
The unit rate is D. $4.00 per pound.
This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.
When looking at the unit rate, you want to look at y value for when x is 1.
#teamtrees #PAW (Plant And Water)
What are the coordinates for point D?
Answers
Answer:
-3,6
Step-by-step explanation:
can someone help me on this?
Answers
Answer:
C when multiplying negative numbers if you multiply a negative by a negative you get a positive.
Ahmad works 6 days daily 9:00am to 5:00pm at a local bank at a rate of $30 per hour.How much he earns daily from its job
Answers
Answer: $240
Step-by-step explanation:
Given
Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour
The total no of hours he worked on a single day is 8 hours
So, the amount he earns on daily basis is
[tex]\Rightarrow 8\times 30\\\Rightarrow \$240[/tex]
22 is what percent of 900?
I GIVE BRAINLIEST
Answers
Answer:
2.44%
Step-by-step explanation:
[tex]\frac{22}{900} *100%[/tex]= 2.44%
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fencing material is to be used, what are the dimensions of the largest rectangular field that can be fenced? What is the maximum area?
Answers
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²