Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
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a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps
Answer:
50,0
Step-by-step explanation:
So we know 500×100=50,000
So it's 50,000
You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
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at the water treatment plant, a half empty tank is being filled with waste water at a rate of 850 gallons per minute. After 15 minutes the tank has 35,000 gallons of waste water. Write an equation in standard form that relates the amount of waste water in the tank, y , to the number of minutes, x, that the tank has been filling
Answer:
850x = y
Step-by-step explanation:
Find a direct relationship
between y and x.
x= e2t and y= et
y = [?
Answer:
y=√x
Step-by-step explanation: here are the steps
Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?
Answer:
15
Step-by-step explanation:
Jae can go 15 more times on the rides.
Answer:
Jae can ride 5.75 or 5 more times
Step-by-step explanation:
Total of tickets, Jae buys 85
Jae uses (-) 39 tickets
85 - 39 = 46 remaining tickets
Rides: 8 tickets each
46/8 = 5.75
I hope this helps.
what does the expression 3(20+15) represent?
Answer:
It represents 3x20 +3x15
Step-by-step explanation:
The expression 3(20+15) represents 20+15 then multiplying it by three.
If you were to solve the expression, the answer would be 105.
20 + 15 = 35
35 x 3 OR 35(3) OR 35 ∙ 3 = 105
Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each.
Answer:
A
Step-by-step explanation:
If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?
Answer:
2550-2500 = 5025% percent increase.
Step-by-step explanation:
Answer: 2%
Step-by-step explanation:
2500 X 1.02 = 2,550
80 cm of 2m express as percentage
Answer:
There are 200 centimetres in 2 metres. Therefore, 80 centimetres is equal to 80/200 x 100 = 40 percent of 2 metres
Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.
The residual of a regression is the difference between the actual value and the predicted value
The values of (a) and (b) are -0.4 and 0, respectively.
The entries are given as:
x Given Predicted Residual
1 -0.7 -0.6 -1
2 2.3 1.95 0.35
3 4.1 4.5 a
4 7.2 7.2 b
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
To calculate the value of (a), we make use of entry (3).
So, we have:
[tex]a = 4.1- 4.5[/tex]
[tex]a = -0.4[/tex]
To calculate the value of (b), we make use of entry (4).
So, we have:
[tex]b = 7.2- 7.2[/tex]
[tex]b = 0[/tex]
Hence, the values of (a) and (b) are -0.4 and 0, respectively.
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Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i
Answer:
See image
Step-by-step explanation:
These are "complex numbers" because they have the imaginary number, i, in the expression.
The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply
(x+2)(x+5)
= x^2 + 7x + 10
This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)
**SUPER IMPORTANT NOTE: i^2 is equal to -1
These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.
How much material do you need to make two back pockets?
Yes or no awnser pls
Answer:
No the question iant a function
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Find the area of the circle. Round your answer to the nearest tenth. Use 3.14 or 22 for it mm area: about mm
Answer:
3.1
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
How many solutions to a system does the graph below show?
This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions
Answer: Check explanations
Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)
Answer:
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5o3
PLSSS HELP!!
Which equation could have been used to create this graph?
y = x + 4
y = 2x
y = 4x
y = x + 2
What’s 8 more then triple a number?
Answer:
x^3+8
Step-by-step explanation:
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!
Answer: The answer is 27.04 square inches.
Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.
Answer:
27.04 in^2
Step-by-step explanation:
hope this helps! :)
What is the value of x
Answer: your answer is 36.3 cause it's half of 72.6.
Step-by-step explanation:
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses
Answer:
C. 156
Step-by-step explanation:
65/5
13 houses per month
13*12=156
Please answer this ASAP
Solve for y.
30y=20y+60
A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2
PLZ HELP, I need it done in like 20 mins. PLZZZ
Answer:
16.8
Step-by-step explanation:
Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator
Solve for the value of p.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.
p + 7 + 3p + 1 = 180
4p + 8 = 180
-8 -8(subtracting 8 from both sides)
4p = 172
/4 /4(dividing by 4 on both sides)
p = 43
Answer:
A straight angle measures 180°(p + 7) + (3p + 1) = 180
p + 7 + 3p + 1 = 180
4p + 8 = 180
4p = 180 - 8
4p = 172
•°• p = 172/4 = 43
At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from
Based on the information given, the number of students from Florida will be 9000 students.
Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
The number of students from Florida is 9000.
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