Answers
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
[tex]x^{2}[/tex], x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = [tex]x^{2}[/tex]
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Related Questions
Which is the correct classification of
?
3/8
Answers
Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 and the total cost of the order was $57. What was the price of each cupcake?
Answers
Let's use an equation to solve this problem.
[tex]y=24x+16[/tex]
Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.
[tex]57=24x+16[/tex]
[tex]41=24x[/tex]
[tex]x=\frac{41}{24}[/tex]
Which simplifies around to $1.71 dollars.
Hope this helps.
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Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night on weekends. How much sleep should she get to better concentrate on schoolwork? five to six hours every night nine to ten hours every night a total of forty hours a week a minimum of eighty hours a week Save and Exit Next Mark this and return
Answers
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
Answer:
nine to ten hours every night hope o helped bbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyeeeeeeeee
Step-by-step explanation:
Factor each polynomial.
15d -12cd^2
Answers
Answer:
3d(5-4cd)
Step-by-step explanation:
15d - 12cd² (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)
= 3 (5d - 4cd²) (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)
= 3d(5-4cd)
Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?
Answers
Answer:
150 vouchers to wash trucks were sold
250 vouchers to wash compact cars were sold
Step-by-step explanation:
Here, we are interested in calculating the number of each type of vouchers sold.
Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.
Firstly, we know that both sums up to be 400.
Mathematically;
x + y = 400 •••••••••(i)
Secondly,
since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x
Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y
The sum of both gives $1350, which is the total sales.
Mathematically;
4x + 3y = 1350 ••••••(ii)
So we have two equations to solve simultaneously;
x + y = 400
4x + 3y = 1350
Multiply equation i by 4 , we have;
4x + 4y = 1600
4x + 3y = 1350
Subtract equation ii from i, we have 4y-3y = 1600-1350
y = 250
From equation 1, we know that
x + y = 400
This means that;
x = 400 -y
x = 400 -250
x = 150
1.) x/-2=-3
What is the answer of this question
Answers
Answer:
x = 6
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Write 19/9 as a mixed number
Answers
Answer:
2 1/9
Step-by-step explanation:
Divide 19 by 9 and get a number with a remainder
Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile. A. How far can the car travel with 15 gallons? With 15 gallons of gas, the car can travel 525 miles. B. How much gas does the car use to go 100 miles? The car will need gallons to travel 100 miles.
Answers
Answer:
525 miles
Step-by-step explanation:
Two unit rates are given in this problem:
miles per gallon
gallons per mile
Since we want to find miles, the appropriate rate to use is miles per gallon:
[tex]distance = \frac{miles}{gallon} (gallons)\\distance = \frac{35 miles}{gallon} (15 gallons) = 525[/tex]
(x^4)^6= Simplify usiong the lawas of exponents pexplain if can
Answers
Answer:
x^10
Step-by-step explanation:
exponent multiplication is like addition for exponents
Answer:
x^24
Step-by-step explanation:
what is the equivalence of -5/8
Answers
Answer:
One answer could be -10/16
Step-by-step explanation:
Find the exact distance between the points (8,-1) and (2,2).
• 45
• 101
• 745
• V 101
Answers
Sqrt (45)
Pls see if thus can help.
explanation:
Al simplificar esta expresion logaritmica, cual es la forma mas simple?
Answers
Answer:
La respuesta es
[tex] \frac{1}{2} [/tex]Step-by-step explanation:
[tex] log_{5}( \sqrt{5} ) [/tex]Escribe la expresión en forma exponencial con base 5
Eso es
[tex] log_{5}(5)^{ \frac{1}{2} } [/tex]Usando las reglas de los logaritmos que
[tex] log_{ a}( {a})^{x} = x[/tex]Simplifica la expresión
Tenemos la respuesta final como
[tex] \frac{1}{2} [/tex]Espero que esto te ayude
add 6 to the quotient of j and k
Answers
Answer:
j/k + 6
Step-by-step explanation:
Add 6 to the quotient of j and k comes out to:
j/k + 6
A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.
Answers
Hello, I do not see a question nor a histogram for the statement/info provided. I am assuming that the question that you are referring to is "Which of these most likely describes the data shown in the histogram?"
Answer:
The correct answer would be: A, The cards are grouped into five intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 21.
Explanation:
From the histogram (below), you can observe that the highest frequency for the diagram is in fact 21, so you can eliminate answer options B and D.
You are left with either A or C, but you can tell that C is wrong as it states "The prices of the cards are limited to a few whole number values", but in truth the histogram displays values that are decimals, the prices of the cards vary within each interval.
Hope this helps!
Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
Answers
Answer:
-11 is the answer. I think
WXYZ is a quadrilateral in which
W^=108 degrees, X^=88 degrees, Y^=57 degrees and WX^Y= 31 degrees.
Calculate angle WZ^X and XZ^Y
Plzzz i really need to know the answer
Answers
Step-by-step explanation:
what is your name what is 1000 divided by 1000
A ratio that is equivalent to 5:2 is?
Answers
The function f(x) is given by the set of ordered pairs. Which is true regarding the function? {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}
f(-3) = 8
f(3) = 5
f(8) = 0
f(-6) = 10
Answers
Answer:
f(–6) = 10
Step-by-step explanation:
EDGE
f(-6)=10 is the true option regarding the function.
What is a function?The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.
General form of a function is f(x)=y
The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.
How to solve the problem?The given function is given by the set of ordered pairs
(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}
Clearly f(-6)=10 is the only correct option.
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PLEASE HELP QUICK!!!!! Find the value of x
Answers
Answer:
x = 22
Step-by-step explanation:
158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral. Thus:
x + 338 = 360.
Subtracting 338 from both sides, we get x = 22
robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savings before he bought the jacket
Answers
Answer:
The answer is $105
Step-by-step explanation:
Solution: 4x = 12
A coffee dispensary uses ⅘ of a barrel of coffee beans per batch of coffee they ship. Yesterday, the dispensary used 3 ⅕ of a barrel of coffee beans. How many batches of coffee did they produce?
Answers
Answer:
4 batches
Step-by-step explanation:
First, you need to convert the mix number into a single fraction:
3 1/5 = 16/5 total barrels of coffee beans used
This allows us to divide the numbers easier in the next step.
Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:
(16/5) / (4/5) = 16/4 = 4 batches
(The fives cancel out because they are the same divisor.)
I hope this helps!
-TheBusinessMan
Determine the interval on which the function is constant
Answers
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
A constant function is a function having the same value of range for different values of the domain.
The interval on which the given function is constant is x ∈ [ -2, 2 ].
What is a constant function?A constant function is a function having the same value of range for different values of the domain.
We have,
The graph shows that the function is constant at an interval.
The graph of a constant function is always a straight line.
We see that we have a short straight line on the graph.
The straight line starts from the x = -2 till x = 2 on the x-axis.
The straight line has the constant y = -2 on the y-axis.
The x values are called the domain.
The y value is called the range.
The interval on which the graph is constant is x ∈ [ -2, 2 ].
Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].
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You
5
Is a rational number?
00
yes
no
Submit
Answers
find the sum of first 22 terms of AP 8, 3, -2
Answers
Explanation:
22th term = 8 + (22 - 1)(-5)
22th = 8 + (21)(-5)
22th = 8 - 105
22th = -97
Un emprendedor sabe que para vender x de sus productos diariamente el precio de cada uno debe ser 96.800-10x pesos. ¿Cuál es el precio, en pesos, al que debe cobrar sus productos para vender 200 unidades diarias? *
Answers
Responder:
94,800 pesos
Explicación paso a paso:
Dado que:
Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos
Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:
Sustituye 200 en lugar de x en la ecuación de precio anterior,
Es decir ;
x = 200
Precio = 96,800 - 10 (200) pesos
Precio = 96,800 - 2000
Precio = 94,800 pesos
De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.
√50 inrrational or rational
Answers
Answer:
it is irrational
Step-by-step explanation:
hav a nice dAY
What is the solution set of the quadratic equation 1/2 (4x-1) ^2 = 4
Answers
Answer:
x = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] (4x - 1)² = 4 ( multiply both sides by 2 to clear the fraction )
(4x - 1)² = 8 ( take the square root of both sides )
4x - 1 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 1 to both sides )
4x = 1 ± 2[tex]\sqrt{2}[/tex] ( divide both sides by 4 )
x = [tex]\frac{1+/-2\sqrt{2} }{4}[/tex]
= [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]
- 3/2 + ( - 4/2 ) pls help !!
Answers
Decimal form: -3.5
Mixed number form: -3 1/2
Write an inequality for the following statement.
9 is greater than a
Answers
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
Write .24... as a fraction in simplest form.
Answers
Answer:
6/25
Step-by-step explanation:
6/25
0.24... as a fraction in simplest form is 6/25.
How to write .24... as a fraction in simplest form?A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.
In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.
We have:
0.24 = 24/100
In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:
0.24 = 24/100 = 6/25 (divide both numerator and denominator by 4)
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