The table given are for the linear functions f(x) and g(x) what is the input value for which f(x) = g(x) is true ?
x=
Answers
f(x) = 3 for all values of x, so you only need to find the entry in the g(x) table where g(x) = 3. The corresponding x-value is
.. x = -1
The functions f(x) and g(x) will be equal at x = -1 the input value will be -1.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Two function f(x) and g(x) shown in the table.
From the table:
At x = -1
f(-1) = 3
At x = -1
g(-1) = 3
f(-1) = g(-1)
or
f(x) = g(x) at x = -1
Thus, the functions f(x) and g(x) will be equal at x = -1 the input value will be -1.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Related Questions
a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members
Answers
Find % of gold members. Subtract the known % of bronze and silver members from 100%.
x= percent of gold members
x= 100% - (40% +28%)
x= 100% - 68%
x= 32% percent of gold members
STEP 2:
Find number of gold members. Multiply % of gold members by the total numbers of members (275).
x= # of gold members
x= 275 * 32%
x= 275 * 0.32
x= 88 gold members
Hope this helps! :)
Find the value of x. Round to the nearest tenth degree. Please help!!!
Answers
Sin(x)^-1=opposite leg/hypotenuse
The opposite leg is 5 and the hypotenuse is 14
2. Let's substitute in the formula:
Sin(x)^-1=opposite leg/hypotenuse
Sin(x)^-1=5/14
x=21°
Then, the answer is: The value of x is 21°
Kyra exercises at a gym for 1 2/3 hours. she stretches,lifts weights, runs, and showers. kyra spends 1/4 hour stretching 1/3 hour showering.how much time does kyra spend running?
Answers
Final answer:
To determine the time Kyra spends running, the time spent on stretching and showering is subtracted from the total gym time, resulting in 65 minutes of running.
Explanation:
Kyra exercises at the gym for a total of 1 2/3 hours. To calculate the time she spends running, we need to subtract the time spent on other activities from the total exercise time. First, convert 1 2/3 hours to an improper fraction: (1 × 3) + 2 = 3 + 2 = 5/3 hours. Now, let's convert this into minutes: 5/3 hours × 60 minutes/hour = 100 minutes.
Next, calculate the total time spent stretching and showering: (1/4 hour × 60 minutes/hour) + (1/3 hour × 60 minutes/hour) = 15 minutes + 20 minutes = 35 minutes.
Finally, to find out how much time Kyra spends running, subtract the time spent on stretching and showering from the total exercise time: 100 minutes - 35 minutes = 65 minutes spent running
Kyra spends 1 hour and 5 minutes running at the gym.
Explanation:To find out how much time Kyra spends running, we need to subtract the time she spends stretching and showering from the total time she exercises at the gym.
Given that Kyra spends 1 2/3 (or 5/3) hours at the gym, and 1/4 hour stretching and 1/3 hour showering, we can calculate:
Total time Kyra spends stretching and showering = 1/4 + 1/3 = 3/12 + 4/12 = 7/12 hours
Time Kyra spends running = Total time at the gym - Total time Kyra spends stretching and showering = 5/3 - 7/12 = 20/12 - 7/12 = 13/12 hours.
Therefore, Kyra spends 13/12 hours or 1 hour and 5 minutes running.
A tech support manager ran virus detection software on a random sample of 750 computers. The software identified that 200 of the computers had a virus.
To the nearest percent, what is a good estimate of the percentage of all computers at this company that have a virus?
Enter your answer in the box.
And please explain how did you got the answer
Answers
to get this you divide the second number by the first and multiply by 100
hope this helps! :^)
Answer:
27%
Step-by-step explanation:
I really think it is 27%
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Answers
Final answer:
Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.
Explanation:
To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).
The formula for finding speed is:
Speed = Distance / Time
Using the given numbers:
Speed = (3/4) miles / (1/10) hour
By performing the division, we get:
Speed = (3/4) × (10/1) miles/hour
Speed = (30/4) miles/hour
Speed = 7.5 miles/hour
Therefore, Elizabeth runs at a speed of 7.5 miles per hour.
How long would it take to travel 924 miles at the rate of 42 miles per hour? A12 h B22 h C24 h D42 h asap plz
Answers
924/42=22
Solve the quadratic equation by completing the square x^2+6x-5=0
Answers
x^2 +6x = 5 . . . . . add 5
x^2 +6x +9 = 14 . . . add 9
(x +3)^2 = 14 . . . . . . write left side as square
x +3 = ±√14 . . . . . . . take the square root
x = -3 ±√14 . . . . . . . subtract 3
Selection C is appropriate.
Daphne purchased a home for $296,000. She put 20% down with a mortgage rate of 6% for 30 years. What's Daphne's monthly payment?
Answers
where A is the payment, P is the financed amount, i is the periodic interest rate, and n is the number of periods.
A = (0.8*296000)*.005/(1 -(1.005)^-360) = 1419.74
Daphne's monthly loan payment will be $1419.74.
A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
Answers
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.
Check:
119+65=184
184*61.5=11316
11316*1/2=5658
2/3x+1/3y=2 in graph
Answers
Solve for y:
[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]
It's the slope intercept form of a straight line.
We need only two points to draw a straight line.
[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]
Look at the picture.
To what place is 220.0 accurate?
1) tens
2) tenths
3) hundreds
4) hundredths
Answers
The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?
a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft
Answers
Original painting mural scale factor
3 15 original / mural = 3 / 15 = 1 / 5
2 10 original / mural = 2 / 10 = 1 / 5
As you see the scale to comparing the original to the mural es 1 feet : 5 feet.
It means that the measures of the original painting must be multiplied by 5 to obtain the measures of the mural.
A table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. Make a diagram of the table and leaves. b. Write an expression that represents the length of the extendable table. What does x represent
Answers
The area of a rectangle is the product of the width and the length
The required values are;
a. Please find attached the diagram of the table attached
b. 6 + 2·x
c. x represents the width of the leaves
Reason:
Known parameter
Length of the table = 6 feet
Width of the table = 3 feet
Number of leaves = 2
Length of the sides of the leaves = 3 feet
a. Please find attached the diagram of the table, with leaves drawn with MS Visio
Total length = (6 + 2·x) feet
Width = 3 feet
Area, A = (6 + 2·x) ft. × 3 ft. = (18 + 6·x) ft.²
b. The expression that represents the length of the table is 6 + 2·x
c. The variable, x, represents the width of the leaves
Learn more here:
https://brainly.com/question/21851016
Help me on the first question pls
Answers
Then looking at the equation that you solved for, look and see if there are any other equations that are related in some way to the original solved equation.
Pay close attention to the positive and negative signs.
Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
Answers
By definition,
[tex]tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44[/tex]
Answer: 502.4 m
Problem 10
From geometry, the angle opposite x is 27°.
By definition,
[tex]sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32 [/tex]
Answer: 263.3 yd
Answer:
1A
2D
3D
4A&D
5D
6C
7A
8C
9C
10A
The height in feet h of a water bottle rocket launched from a rooftop is given by the equation h = -16t2 + 320t + 32, where t is the time in seconds. After the rocket is fired, how long will it take to return to the ground? Solve by completing the square. Round your answer to the nearest tenth of a second.
Answers
Final answer:
It will take approximately 20.2 seconds for the water bottle rocket to return to the ground after being launched, determined by solving the given quadratic equation by completing the square.
Explanation:
The question asks how long it will take for a water bottle rocket launched from a rooftop to return to the ground, given the equation h = -16t2 + 320t + 32, where h is height in feet and t is time in seconds. To find when the rocket hits the ground, we need to solve for t when h equals zero by completing the square.
First, rearrange the equation: 0 = -16t2 + 320t + 32.
Factor out -16 to simplify: 0 = -16(t2 - 20t - 2).
To complete the square, take half of the -20, square it and add to both sides: 100 + 2 = -16(t2 - 20t + 100).
This simplifies to 0 = -16((t - 10)2 + 98) and then (t - 10)2 = -98/(-16).
Solve for t: t = 10 + sqrt(98/16), which gives approximately t = 20.2 seconds.
Therefore, it will take approximately 20.2 seconds for the water bottle rocket to return to the ground.
Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards the rest are soccer cards what fraction of bobbys sports cards are baseball or football cards
Answers
The remianing is 3.1/10 or 31/100
Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.
Answers
Answer:
The expression is 300÷t.
Step-by-step explanation:
Number of chairs Gretchen has = 300.
Number of tables Gretchen has = t.
It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.
The number of chairs she should put can be found by the expression 300÷t.
Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.
Explanation:To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:
Chairs per table = Total number of chairs / Number of tables
In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:
Chairs per table = 300 / t
Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.
A farmer charges for his coffee beans using the equation C=3.95p, where C is the cost of the coffee beans and p is the number of pound of coffee beans. What is the slope?
Answers
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Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
Answers
You could multiply the whole thing by 4.5 to get [tex]13.5y=9x-40.5[/tex]. If you want, you could mix things up and write it in slope-intercept form: [tex]y= \frac{2}{3}x-3[/tex]. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Answer: pretty sure it´s B
If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.
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Answers
Hope this helps!
Dawn can buy 5 pounds of apples for $12.45
We have to find how many pounds can she buy for $1.00
Now cost price for 5 pounds = $12.45
In $12.45 , Dawn can buy 5 pounds of apple
So, In $ 1 , Dawn can buy 5/12.5 pound of apple
= 0.4 pound of apple
Therefore dawn can buy 0.4 pound of apple for $1.00
Hope this helps..!!
Thank you :)
A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?
Answers
Answer:
30%
Step-by-step explanation:
The increase was 15/30 = 50%,
The decrease was 9/45 = 20%.
50% - 20% = 30%
The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?
Answers
Distance from the top of the ladder to the floor = 14.14 ft
Explanation:
The ladder forms a right-angled triangle with the floor and the wall where:
The ladder is the hypotenuse = 15 ft
The distance between the ladder and the wall is the base = 5 ft
We will use the Pythagorean theorem to get the third side of the triangle which represents the distance between the top of the ladder and the floor as follows:
15^2 = 5^2 + distance^2
Distance^2 = 225-25 = 200
Distance from the top of the ladder to the floor = sqrt(200) = 14.14 ft
Hope this helps :)
randy bought 6 candy bars for $8.28 what is the cost per candy bar?
Answers
6 divided by 8.28 equals 1.38
Each candy bar is a dollar thirty eight.
Hope this helps! Please let me know if you need further explanation.
~Brooke❤️
**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answers
This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is [tex]y=\frac13 x^2 - 2.[/tex] Substituting in [tex]y=x[/tex], we find that the intersection points occur where [tex]\frac13 x^2 - 2 = x[/tex], or [tex]\frac13 x^2 - x - 2 = 0,[/tex] or [tex]x^2 - 3x - 6 = 0.[/tex]
This equation doesn't factor nicely, so we use the quadratic formula to learn that [tex]x = \frac{3 \pm \sqrt{3^2 - 4 \cdot 1 \cdot (-6)}}{2} = \frac{3 \pm \sqrt{33}}{2}.[/tex] Hence, the x-coordinates of the intersection points are [tex]\frac{3 + \sqrt{33}}{2}[/tex], which is positive, and [tex]\frac{3 - \sqrt{33}}{2}[/tex], which is negative. This proves that there are intersection points on both ends of the axis.
Answer:
C. Yes, at negative and positive x-coordinates
Step-by-step explanation:
I got it right on the test.
Hope this helps :)
Please help with all of my work QUESTIONS:5,6,7,and 8
Answers
A. True, because it says (1/2) .5 and you multiply that by 2/3 and you get 1/3
B. True, because it says 1/3 and you multiply that by .5 or 1/2
C. False, Because there are 15 pear trees
D. True, there are 15 peach trees
6.
You have do 12 x 6 to get a common denominator and that equals 72.
You then have to multiply the numerators 5 x 72 = 360.
You then have to divide 360 by 6 which = 60.
Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quizzes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.
Answers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
AND also this one here.
Answers
2. 77
3.60
4.c
I hope it helps
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Help...T-T
Answers
Answer:
yea
Step-by-step explanation:
Answer:
We cant see anything
Step-by-step explanation:
The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales tax? (A) $739.19 (B) $743.37 (C) $752.96 (D) $768.42 (E) $781.62