As we can see from the graph, the values that the variable x or all the possible acceptable values it can take have no restrictions here. That is, the variable, x, can take any possible value. Therefore, we can say that the domain for this function is:
\(-\inftyAs the values for x take greater values, the values of y (range) take negative values.Therefore, the correct option is option A.
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. What is the amount if you rent the SCUBA equipment for 1 hour and 15 minutes
2/-3 * -3/2
pls answer fast!!...step by step explanation pls
Solution is 1
According to question
2/-3×-3/2
⇒-6/-6
∴ 1
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Find the slope of the line. x=5
Answer:
x=5
Step-by-step explanation:
the slope of the line is undefined
Answer:
x=5
Step-by-step explanation:
The slope is unidentified
which situation can be represented by the equation below? 15 + x = 63.75
answer 1. David orders 15 bags of grass seed that weigh a total of 63.75 pounds. how much dose each bag weigh.
answer 2. David stacks 15 pieces of wood that are each 63.75 millimeters thick. what is the total thickness of the stack of wood?
answer 3. David works for 63.75 hours in july. in august, he works 15 more hours than he works in july. how many hours dose david work in august?
answer 4. David spends $63.75 at the bookstore. he uses a $15 gift card and pays the rest in cash. how much dose he pay in cash.
Answer:
Step-by-step explanation:
it would be number 4 please mark brainliest
Over which interval of the domain is function h decreasing?
In interval (1, ∞), function h is decreasing, option (C) is correct.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
h(x) = \(2^x\) when x < 1,
And h(x) = √(x + 3) when x ≥ 1.
To find the interval when function h is decreasing,
Plot the graph of the function h(x) for the given intervals.
Since, in interval (-∞, 1) the graph is increasing.
And in the interval (1, ∞) the graph is decreasing.
Hence, correct option is option (C).
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La carga máxima que puede transportar un camión es de 3500 kg. Si se sabe que cada viaje transporta como mínimo 2800 kg,
¿cuántos paquetes de 70 kg puede transportar en cada viaje?
The question is : The maximum load that a truck can carry is 3500 kg. If it is known that each trip carries at least 2800 kg, how many packages weighing 70 kg can it transport on each trip?
The truck can transport 10 packages weighing 70 kg each on each trip.
To determine the number of packages of 70 kg that can be transported on each trip, we need to find the difference between the maximum load capacity of the truck and the minimum weight already being transported.
Maximum load capacity: 3500 kg
Minimum weight already being transported: 2800 kg
Therefore, the remaining weight capacity for additional packages is:
3500 kg - 2800 kg = 700 kg
Since each package weighs 70 kg, we can divide the remaining weight capacity by the weight of each package to determine the number of packages that can be transported:
700 kg ÷ 70 kg = 10 packages
Therefore, the truck can transport 10 packages weighing 70 kg each on each trip.
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Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.
Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).
the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
Which claims are true?
Here we have the quadratic equation:
f(x) = (x + 3)*(x + 5)
The first claim is: "The y-intercept is at (15, 0)."
This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.
The second claim is:
"The x-intercepts are at (–3, 0) and (5, 0)"
This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.
Third claim:
"The vertex is at (-4, -1)"
The middle value between the zeros is:
(-3 + (-5))/2 = -4
Evaluating the function in x = -4 we get the y-value of the vertex:
f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1
So the vertex is at (-4, -1), this claim is true.
The fourth claim is:
"The midpoint between the x-intercepts is at (4, 0)."
Which is false, we already saw that the midpoint between the x-intercepts is at x = -4
Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
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can someone helpp with this
After 2+3/2-x+1/3x have been combined using the least common denominator of 6x, what is the numerator?
On solving the provided question, we can say that In light of this, the lowest common denominator of the equation is (x - 4)(x + 1)(x - 2) (x - 2)
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
equation is given as:
x2 — 3x — 4 = x2 — Ox + 8
x2 — 4x + x — 4 =
x(x — 4) + I(x — 4)
Factor out x - 4
(x + I)(x — 4) = x-2(x-4)
The common factor between the two sides of the equation is x – 4.
In light of this, the lowest common denominator is (x - 4)
(x + 1)(x - 2) (x - 2)
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Band Trip
The band is going on a trip to Six Flags in Houston. The trip costs each band member $160, which
includes $64 for the hotel and three one-day combination entrance and meal plan passes.
Answer:
The total costs for the trip, the hotel and the three one-day combination entrance is 224.(160+64=224)
Use the GCF to factor: 30r - 27g
Answer:
3(10-9g)
Step-by-step explanation:
factor is 3 out of 30-27g
write a logarithmic equation (using only real numbers) that has no real solutions. explain why there are no real solutions.
The equation is log_2 (3x - 5) = 9 There are no real solutions to this equation because the logarithm of a negative number is undefined. The left side of the equation would require the argument to be negative, thus making the equation impossible to solve.
This equation cannot be solved because the logarithm of a negative number is undefined. The left side of the equation is of the form log_2 (N), where N is some real number.For the equation to have any real solutions, N needs to be greater than 0. However, in this equation, N is equal to 3x - 5, which can be negative for certain values of x. This means that there is no real number x that can be substituted into the equation to make it true, since the logarithm of a negative number is not defined. Therefore, this equation has no real solutions.
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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If 5 pencils cost m cents, at this rate how many pencils can be bought for n dollars?
The number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.
How many pencils can be bought for n dollars?We can use the unitary method to solve this problem.
First, we need to find the cost of one pencil, which can be calculated as:
Cost of 1 pencil = Cost of 5 pencils / 5 = m/5 cents
Next, we need to convert the amount given in dollars to cents, since we have the cost of one pencil in cents.
We can do this by multiplying n dollars by 100, which gives us:
n dollars * 100 = 100n cents
Now, we can find the number of pencils that can be bought for n dollars as follows:
Number of pencils = Total cost / Cost of 1 pencil
Number of pencils = 100n / (m/5)
Number of pencils = 100n * 5/m
Number of pencils = 500n / m
Therefore, the number of pencils that can be bought for n dollars at the rate of m cents for 5 pencils is 500n / m.
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Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian's first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Answer:
21.9 feet
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Given parameters
Altimeter of vivian at its lowest point = -9.6 feet
Altimeter of vivian at the top of the wheel = 12.3feet
Note that the sea level is at 0 feet.
change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:
= (12.3-0)+(0-(-9.6))
= 12.3+(0+9.6)
= 12.3+9.6
= 21.9 feet
From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.
The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.
Answer:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
Step-by-step explanation:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
x=? what does x equal?
Answer:
x= 19
Step-by-step explanation:
being co-interior angle
6x+8+4x+2= 180
so, x= 19
Suppose that E and F are points on the number line.
If EF = 14 and E lies at 3, where could F be located?
Answer:
F would be 17 or -11
i need help I am haveing trouble understanding
Answer: y= x + 4
Step-by-step explanation:
The sum of two numbers is 21 and their difference is 7
Answer:
28 i thing
Step-by-step explanation:
Solve for x: 0.75x + 3 = 6 (x - 3
I need to show my work
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)(Distribute)
0.75x+3=6x+−18
0.75x+3=6x−18
Step 2: Subtract 6x from both sides.
0.75x+3−6x=6x−18−6x
−5.25x+3=−18
Step 3: Subtract 3 from both sides.
−5.25x+3−3=−18−3
−5.25x=−21
Step 4: Divide both sides by -5.25.
−5.25x/-5.25 = -21/-5.25
Answer: x=4
The value of x from the given equation is 4.
The given equation is 0.75x + 3 = 6 (x - 3).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solve for x as follows:
0.75x + 3 = 6x - 18
⇒ 6x-0.75x = 3+18
⇒ 5.25x=21
⇒ x=21/5.25
⇒ x=4
Therefore, the value of x from the given equation is 4.
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Find the 35th term of the sequence
Answer:
3552
Step-by-step explanation:
So, basically, you use the formula and plugin 37, the number of terms, into n.
So:
96(37)
96(37) = 3552
Hope this helps!
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Describe the solution steps of 20 + 4x = 16.
Answer:
-1
Step-by-step explanation:
number explanation
1. 20 + 4x = 16
-20 -20
2. 4x = -4
4 4
3. -4 divided by 4 = -1
word explanation
1.rewrite the problem
2. subtract 20 from 20 and subtract 20 from 16
all of the numbers subtract 20 except the number with the variable
3. 20 - 20 = 0
16 - 20 = -4 because you take the sign of the bigger number
4. you bring down 4x divided by 4 it gets crossed out then you do -4 divided by 4 and your answer is
negative 1
-1
What is the approximation for 78.8×6.8
a football stadium has 100,000 seats. in a game with full capacity people with the following ticket and associated cost attended the game: determine the number of people that attended the game in each cost cate- gory if the total revenue was $4,897,000, there were 11,000 more alumni than faculty, the number of public plus alumni together was 10 times the number of veterans, the number of faculty plus alumni together was the
The number of people that attended the game in each cost category is Faculty: 7,000,Alumni: 18,000,Public: 18,000,Veterans: 4,000
To determine the number of people that attended the game in each cost category, to consider the given information and set up a system of equations to solve for the unknowns. Let's break down the problem step by step.
Let's denote the number of people in each cost category as follows:
Faculty: F
Alumni: A
Public: P
Veterans: V
The number of alumni is 11,000 more than the faculty, so we have the equation:
A = F + 11,000
The number of public plus alumni together was 10 times the number of veterans, so the equation:
P + A = 10V
The number of faculty plus alumni together was the same as the number of veterans, so we have the equation:
F + A = V
The total number of people attending the game is the sum of the people in each category, so the equation:
F + A + P + V = 100,000
Now, use these equations to solve for the unknowns.
First, substitute equation 1 into equations 2 and 3:
P + (F + 11,000) = 10V
F + (F + 11,000) = V
Simplify these equations:
P + F + 11,000 = 10V
2F + 11,000 = V
Next, substitute these equations into equation 4:
F + (F + 11,000) + P + (2F + 11,000) = 100,000
Simplify and combine like terms:
4F + 22,000 + P = 100,000
Subtract 22,000 from both sides:
4F + P = 78,000
Now a system of two equations:
P + F + 11,000 = 10V
4F + P = 78,000
solve this system of equations to find the values of F, P, and V.
By solving the system,
F = 7,000
P = 18,000
V = 4,000
Finally, substitute these values back into equation 1 to find the value of A:
A = F + 11,000 = 7,000 + 11,000 = 18,000
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How to find this slope
Answer:
-3
Step-by-step explanation:
Subtract :
\(\frac {x_{2} - x_{1}}{y_{2} - y_{1}}\)
x = 0 - (-2) = 2
-4 - 2 = -6
2 / -6 = -3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
the slope is -3/1
Step-by-step explanation:
(0,-4) is the y- intercept
Question 14Anthony has a total of $4.20 in nickels, dimes and quarters. If hehas 6 more dimes than nickels and three times as many quartersas nickels, how many of each kind of coin does he have?2 pointsYour answerAQuestion 15Mrs. Bee is six years older than four times her son's age. Threeyears ago, she was seven times as old as her son was then. Findtheir present ages.
Which function is symmetric with respect to the y axis?
O y=-x5
Oy=3x6
O y=2x²
O y=-2x³
The quadratic function y = 2 · x² and the sextic function y = 3 · x⁶ are functions symmetric with respect to the y-axis. (Correct choices: B, C)
What function is symmetric with respect to the y axis?
A function of the form y = f(x) is symmetric with respect to the y-axis if and only if the function is even, that is: f(x) = f(- x). In accordance with function theory, power functions with even exponents of the form y = a · xⁿ are symmetric with respect to the y-axis:
y = a · xⁿ
y = a · (- x)ⁿ
y = a · [(- 1) · x]ⁿ
y = a · [(- 1)ⁿ · xⁿ]
y = a · (1 · xⁿ)
y = a · xⁿ
Then, a · x² = a · (- x)².
The quadratic function y = 2 · x² and the sextic function y = 3 · x⁶ are functions symmetric with respect to the y-axis. (Correct choices: B, C)
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The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
a teacher has 10 books (all different) that she wants to distribute to john, paul, ringo, and george, ensuring that each of them gets at least one book. in how many ways can she do this?
The teacher can distribute the 10 different books among John, Paul, Ringo, and George, ensuring that each of them gets at least one book, in 84 different ways.
A teacher has 10 different books that she wants to distribute to John, Paul, Ringo, and George, ensuring that each of them gets at least one book. We will use the following steps to find out the number of ways she can do this:
Assign one book to each person
Since each person must receive at least one book, we start by giving one book to John, one to Paul, one to Ringo, and one to George. Now, the teacher has 6 books remaining to distribute.
Use the stars and bars method
The stars and bars method is a combinatorial technique used to count the number of ways to distribute items (in this case, books) among a number of recipients. To use this method, we'll represent the 6 remaining books as stars (*) and use 3 bars (|) to separate them into 4 groups for the recipients.
Count the arrangements
We now have 6 stars and 3 bars, so there are a total of 9 items (6 + 3 = 9) to arrange. We will choose 3 positions for the bars, and the remaining positions will automatically be assigned to the stars. There are 9 items and we need to choose 3 positions for the bars, which can be done in 9C3 ways (combinations of choosing 3 items out of 9).
9C3 = 9! / (3! * (9-3)!) = 84 ways
So, there are 84 different ways the teacher can distribute the remaining 6 books among the four students.
In conclusion, the teacher can distribute the 10 different books among John, Paul, Ringo, and George, ensuring that each of them gets at least one book, in 84 different ways.
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Two scuba divers are swimming below sea level. One diver is located 28 feet below sea level and the other is located 37 feet below sea level. Which expression shows how far apart the divers are?
|−37| − |−28|
|−37| + |−28|
|37| − (−|−28|)
|37| + |28|
Answer:
b. |−37| + |−28|
Step-by-step explanation:
The absolute value of a number is its distance from 0 on the number line. Since the divers are below sea level, both 37 and 28 will be negative numbers.
To find the distance between the two divers, we need to add the absolute values of their depths.
The first diver is at -37 ft and the second diver is at -28 ft, so we can calculate the distance between them as |-37| + |-28| = 37 + 28 = 65 ft