The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
https://brainly.com/question/10439235
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
simplify by pulling out the GCF from the numerator and the dominator? 6/8
Answer:
3/4
Step-by-step explanation:
The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2
Pls pray for me of this is the last one-
Suppose a vertebrate has a disease that affects its skeleton.
Which sentence best describes a difficulty the vertebrate may have?
A. It would have difficulty interpreting information.
B. It would have difficulty circulating blood.
C. It would have difficulty moving.
D. It would have difficulty breathing.
Answer:
If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3
btw I love ur connie pfp- :3
Step-by-step explanation:
:3
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
x + y = 16
5x - 4y = 12
Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Complete Question:
A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
Answer:
45 square feet
Step-by-step explanation:
Given the following data;
Volume of pedestal = 405 ft³
Height of rectangular prism = 9 ft
To find the area of the base of the pedestal;
Volume of pedestal = base area * height
405 = base area * 9
Base area = 405/9
Base area = 45 square feet.
Therefore, the area of the base of the pedestal is 45 square feet.
Answer:
45 square feet
Step-by-step explanation:
Please help me figure this out
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
how do you find the circumference of a circle
Answer:
circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter
Step-by-step explanation:
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
I hope the images help!!
Mark can buy 15 tea bags for $3. What is the unit rate of price per bag? At that rate, how many tea
bags could he buy for $20?
Answer:
Unit Rate:5 teabags for 1$
teabags for $20: 100
Step-by-step explanation:
make 3/15 a fraction
simplify
multiply 20 times 5
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
Math riddle here
The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.
What four numbers am I thinking of ?
Answer:
15+8+6+2=31
Step-by-step explanation:
highest no. is 15
15-7=8
31-15-8=8
middle number 8
8-6=2
CHECK: 15+8+6+2=31
i don't know if my answer is right haha
i checked online it says the answer is 5,6,8,12
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation:
Solve for the x.
Assume the segments that appear to be tangent are tangent.
4.5 i think im really not sure check with someone else before answering