Which input value produces the same output value for the two functions on the graph?
x = -3
x = -2
x = -1
x = 3
Answers
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
Further explanation:
Given:
The options are as follows,
(a). [tex]x = - 3[/tex]
(b). [tex]x = - 2[/tex]
(c). [tex]x = - 1[/tex]
(d). [tex]x = 3[/tex]
Explanation:
The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.
The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.
The functions are [tex]f\left( x \right){\text{ and }}g\left( x \right).[/tex]
From the graph it has been observed that the line of the function intersects each other at [tex]x=- 2.[/tex]
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Relation and Function
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
Related Questions
please help me with this problem thanks!
Answers
Answer= 110400 sq. mi
(1.8 * 10^2) * (5 * 10^2)
Answers
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. Use the approximation 3.14 for pi. C=44. C stands for circumference.
Answers
then
c=2pi r or d*pi44=d pi44/pi=d
then d= 44/3.14
r= 22/3.14
the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers
Answers
7 x -3 = -21
difference = -10
the sum = 4
hope this helps you
What is the cost of 25.00 watch with a 5.00 discount and a 5.5% sales tax?
Answers
# of Songs:Cost
6:$7.20
7:$8.40
8:$9.60
Cedric buys songs at a store that charges $1.20 per song. Shumeka buys songs at a different store. The table shown here gives the cost when she buys 6, 7, and 8 songs.
Are songs more expensive at Cedric’s store or Shumeka’s store?
A) Cannot be determined
B) Cedric's store is more expensive.
C) Shumeka's store is more expensive.
D) Songs cost the same at both stores.
Answers
Answer:
Songs cost the same at both stores.
Step-by-step explanation:
The decimal number 0.66 is an example of a repeating decimal.
True
or
False
pls answer quick
Answers
Answer:
the anwser is FALSE
Step-by-step explanation:
Give the excluded value(s) for the following fraction.
y+5/y^2+4y-32
Answers
The exluded values are lying in the y and we hav eto find them :[tex]y^2+4y-32=(y+8)*(y-4)=0[/tex]
According to the info above,[tex]y+8=0 or y-4=0[/tex]
y is -8 and 4.
That's all!
Answer:
y is -8 and 4.
Step-by-step explanation:
The total cost in dollars to produce q units of a product is C(q). Fixed costs are $13000 . The marginal cost is C'(q)=0.006q^2-q+50.
Estimate C(170) , the total cost to produce 170 units.Find the value of C'(170). Then combine these to find C(171).
Answers
C(170) = 0.002(170)^3 - 1/2(170)^2 + 50(170) + 13000 = 9826 - 14450 + 8500 + 13000 = $16,876
C'(170) = 0.006(170)^2 - 170 + 50 = 173.4 - 120 = $53.40
Therefore, C(171) = C(170) + C'(170) = $16,876 + $53.40 = $16929.40
To find the cost of production for 170 units, consider both fixed costs and variable costs (the integral of the marginal cost function). The cost of producing 171 units can be estimated by adding the marginal cost for the additional unit.
Explanation:The quantity of interest is C(170), the total cost to produce 170 units. To estimate this value, you can calculate the fixed costs plus the integral of the marginal cost from 1 to 170 (the number of items produced).
So, first, calculate the fixed costs which is given as $13000.
Next, estimate the total variable costs, which is the integral of the marginal cost function over the range from 1 to 170 units. Given marginal cost function is C'(q) = 0.006q^2-q+50. Use the power rule to integrate the function, then evaluate it at q=1 and q=170 and subtract.
The value of C'(170) is simply the value of the marginal cost function at q=170.
After finding the value of C(170) and C'(170), the total cost to produce 171 units, C(171), is approximately the total cost to produce 170 units plus the marginal cost to produce the 171st unit.
Learn more about Marginal cost and total cost calculations here:https://brainly.com/question/12387606
#SPJ11
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator.
Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
Answers
Passengers weight: 750 kg
Excess weight: 300 kg
Number of 70 kg - passengers: p
Inequality:
70p ≥ 300 kg
Solution of the inequality:
p ≥ 300/70
p ≥ 4.3
Given that p is integer, p ≥ 5
Of course, p must also be less than the initial number of passengers.
What is the value of the discriminant in the equation shown below?
x^2+3x-6=0
...?
Answers
Discriminant = b^2 - 4ac
a = 1
b = 3
c = -6
3^2 - 4(1x-6)
9 - (4 x -6 )
9 - -24 = 33
Therefore it has 2 real roots
3^2 - 4(1)(-6)
[a] x^2 [+b] x [+c] = 0[1] x^2 [+3] x [-6] = 09 - 4(1)(-6) = 9 - (-24)
=33
Express answer in exact form.
Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.
help me please ...?
Answers
The length of the larger segment is
[tex]l= \frac{2r\pi\alpha}{360^o}= \frac{2\times 8\pi300^o}{360^o}= \frac{ 16\pi5}{6}= \frac{ 8\pi5}{3}=\frac{ 40\pi}{3}[/tex]
What is 117.28 rounded to the nearest 10 cents?
Answers
Line QR bisects angle PQS. Solve for x and find measure PQS:
m
Answers
Line QR bisects angle
PQS. Solve for x and find measure PQS:
m<PQS = 4x - 6, m<PQR = x + 11 ...?
m<PQR = (1/2) (m<PQS) = (1/2)( 4x - 6)
so x + 11 = 2x - 3 implies x =14
and then m<PQS = 4x - 6 =50°
Please explain this problem.
Answers
-----|--------
35 | 40
-----|--------
42 | 47
-----|--------
49 | 54
-----|--------
The "In" numbers are +2 while the "Out" is +5.
I hope this helps! :D
What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?
Answers
that means that those are the legs
a^2+b^2=c^2
a and b are legs and c is the hypotonuse
a=b
2a^2=c^2
c=32
2a^2=32^2
2a^2=1024
divide both sides by 2
a^2=512
sqrt both sides
a=16√2
the legnth of each leg is 16√2 or aprox 22.63 inches
divide 56 in a ratio of 5:3
Answers
5 x 7 is 35
3 x 7 is 21
___________
So the answer is 35:21 .
Katie is selling lemonade for 1.50 pee cup. she decides to put them on sale for 0.90. what percent discount did she give her on the lemonade
Answers
1 - .6 = .4 (40%) //must reverse because 60% is the current selling price not discount
I would like to purchase 20 products at a cost 65.00 per product. what will be my total? your state has 3.5% sales tax
Answers
That's the price without tax.
Now to find tax:
1300*.035 = 45.5
1300+45.5 = $1345.5
$1345.5 is your total
The total is: $ 1345.5
Step-by-step explanation:It is given that:
I would like to purchase 20 products at a cost 65.00 per product.
This means that the cost of 20 products will be:
[tex]20\times 65=\$\ 1300[/tex]
Also, there is a sales tax of 3.5%
This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.
i.e. he need to pay 3/5% on $ 1300
This means that the amount of tax he need to pay is: 3.5% of 1300
= 3.5%×1300
= 0.035×1300
= $ 45.5.
Hence, the total cost is: $ 1300+$ 45.5
This means that the total cost is: $ 1345.5
Solve (x 6)(x - 4) = -16
Answers
2x= -14
x= -7
Answer:
{-4, 2} Original poster forgot to add the + sign
Step-by-step explanation:
Solve (x + 6)(x - 4) = -16
{-4, 6}
{-4, 2}
{-12, 22}
Odyssey
The formula c=5/9(f-32) is used to convert the temperature in degrees fahrenheit (
f. to the temperature in degrees celsius (
c. what is the temperature in degrees celsius (
c. that is equal to 113 degrees fahrenheit (
f.?
Answers
c = 5/9(f - 32)
c = 5/9(113 - 32)
c = 5/9(81)
c = 405/9
c = 45 <===
The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
What is a mathematical expression?
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given, formula of temperature conversion of degree celsius to fahrenheit
c=5/9(f-32)
If f = 113
then putting the value on the equation, we get
c = 5/9(113-32)
c = 5/9(81)
c = 5*9
c = 45 degree celsius
Therefore, The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
Read more about mathematical expression at :
https://brainly.com/question/10413253
#SPJ5
If martha earns $3.25 per hour for baby-sitting, how much will she earn in: 2.5 hours? 4.0 hours? 5.5 hours?
Answers
In 4.0 hours: $3.25 * (4) = $13.00
In 5.5 hours: $3.25 * (5.5) = $ 17.875 → Round to: $17.88 .
____________________________________________
Answer: Martha will earns for 2.5 hours of baby sitting [tex]\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]\approx\$17.88[/tex]
Step-by-step explanation:
Given: Martha earns for each hour of baby sitting = $3.25
Then, Martha will earns for 2.5 hours of baby sitting =[tex]2.5\times3.25=\$8.125\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]4.0\times3.25=\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]5.5\times3.25=\$17.875\approx\$17.88[/tex]
A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?
Answers
The perimeter of the rectangle is 35.0 meters, and the area is 66.0 square meters, using the formulas for perimeter (2(length + width)) and area (length × width).
Explanation:To calculate the perimeter and area of a rectangle, we apply the formulas: Perimeter = 2(length + width) and Area = length × width. In this case, the rectangle has a length of 5.50 m and a width of 12.0 m.
Calculating the Perimeter
Perimeter = 2(5.50 m + 12.0 m) = 2(17.5 m) = 35.0 m
Calculating the Area
Area = 5.50 m × 12.0 m = 66.0 m²
The perimeter of this rectangle is 35.0 meters, and the area is 66.0 square meters.
4. which property is illustrated by the following statement?
2x(6)=(6)2x
A. associative property of addition
B. communtative property of multiplication
C. inverse property of multiplication
D. communtative property of addition
5. which property is illustrated by the following statement?
5g+7=7+5g
A. communtative property of multiplication
B. Inverse property of multiplication
C. communtative property of addition
D. associative property of addition
Answers
A B = B A
Answer:
B ) Commutative property of multiplication
Another statement:
5 g + 7 = 7 + 5 g
A + B = B + A
Answer:
C ) Commutative property of addition.
The answer for #5 is C.
Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.
Option 1: $53 for each ticket plus a shipping fee of $10
Option 2: $55 for each ticket and free shipping
What is a system of equations to represent the costs of the tickets?
Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.
Option 1:______________
Option 2: ______________
Answers
Option 2: y=55x
20 is 50% of what number? If necessary, round to the nearest tenth.
Is it 10.0?
Answers
20+20=40
40 is the correct answer.
20 is 50 percent of the number 40.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let 20 is 50% of the number x.
Now, 50% of x=20
0.50×x=20
0.5x=20
x=20/0.5
x=40
Therefore, 20 is 50 percent of the number 40.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ6
A box of rice is 19 centimeters long, 12 centimeters wide, and 3.5 centimeters deep. The volume of the box is the product of its length, width, and height. What is the volume of the box?
Answers
For the fruit punch, keira needed 2 gallons of grape juice. she already had 2 quarts of grape juice. grape juice comes in bottles of 1 pint. how many bottles of grape juice does she need to buy? bottles
Answers
so she needed 8 qts.....she had 2....so she still needs 6 qts.
1 qt = 2 pints...so 6 qts = (6 x 2) = 12 pints...and each bottle is 1 pints...so she needs 12 bottles
the price of a car increases in the ratio 11:8. What is the new price of a car which originally cost 25600?
Answers
25,600/11= 2,327
2327*8= 18,618
hope this helped
Factor completely: 21x3 + 35x2 + 9x + 15 ...?
Answers
= 7 x² ( 3 x + 5 ) + 3 ( 3 x + 5 ) =
= ( 3 x + 5 ) ( 7 x² + 3 )
That`s all. Thank you.
Answer:
The complete factored form of given polynomial [tex]21x^3+35x^2+9x+15[/tex] is [tex](7x^2+3)(3x+5)[/tex]
Step-by-step explanation:
Given polynomial [tex]21x^3+35x^2+9x+15[/tex]
We have to factorize the given polynomial completely.
Consider the given polynomial [tex]21x^3+35x^2+9x+15[/tex]
We will solve it by grouping of terms,
Grouping is collecting terms having some factors common
Taking [tex]7x^2[/tex] common from first two term and 3 from last two terms , we have,
[tex]21x^3+35x^2+9x+15[/tex]
[tex]\Rightarrow 7x^2(3x+5)+3(3x+5)[/tex]
Now taking (3x +5) common from both terms , we have,
[tex]\Rightarrow (7x^2+3)(3x+5)[/tex]
Thus, the complete factored form of given polynomial [tex]21x^3+35x^2+9x+15[/tex] is [tex](7x^2+3)(3x+5)[/tex]