Answer:
f(x) = $25 + $75x.
Domain: positive whole numbers.
Range: f(x) ≥ $25
Step-by-step explanation:
Let x denote the total number of tour member, charging $75 per tour member implies $75x.
Therefore, the tour company charges:
f(x) = $25 + $75x
The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."
The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.
Determine if the pair of lines are parallel perpendicular or intersecting
Answer:
1. y= 2/3x + 4, and y = 2/3x - 1 are parallel
2. y = 1/3x - 3 and y = 2x + 5 are perpendicular
3. y =2/5x +4 and y = 0.2x - 1 are intersecting
4. y = -x + 13 and y = x-14 are perpendicular
Step-by-step explanation:
The equation of lines are solved and parallel lines are
a) y = 2/3x + 4 , y = ( 2/3 )x - 1
Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5
Intersecting lines
a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
y = 2/3x + 4 , y = ( 2/3 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 2/3
So , the slopes of the two lines are same and they are parallel lines
And , y = -( 1/2 )x - 3 , y = 2x + 5
The slopes are negative reciprocals of each other , so they are perpendicular lines
Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
Hence , the equation of line is solved
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Write a quadratic equation in standard form that has two solutions, -7 and -8
The standard form is ax² + bx + c = 0. We could write:
(x + 7 )(x + 8)
x²+8x+7x+56
x² + 15x + 56 → Answer
A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.
The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
How to find the type of triangle?
By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,
For a triangle to be right angle triangle,[tex]c^2=a^2+b^2[/tex]
By this law it is observed that,
For a triangle to be acute angle triangle,[tex]c^2<(a^2+b^2)[/tex]
For a triangle to be obtuse angle triangle,[tex]c^2>(a^2+b^2)[/tex]
The sides of the given triangle are 3.8 cm ,3.7 cm, and 5 cm.
Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,
[tex]c^2=5^2\\c^2=25[/tex]
Other two sides,
[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]
Therefore,
[tex]25<28.13\\[/tex]
Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is acute angle triangle.
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If x=16 And y=625 then find (2√x+y)^2
Answer:
400689
Step-by-step explanation:
(2√x+y)²
(2√16+625)²
(2.4+625)
(8+625)²
(633)²
400689
WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?
Answer:
Step-by-step explanation:
20?
-3-4747)-6(x-1)=9
What is x?
Answer:
Can you retype that and I’ll do it?
Step-by-step explanation:
this is another prodigy question so please help
Answer:
918
Step-by-step explanation:
i know it
what is the steps for this (-11)(-9)(-14)
Answer:
Here's ur ans buddy...PLZ mark it as brainliest ✌️✌️✌️
Step-by-step explanation:
[tex]( - 11)( - 9)( - 14) \\ ( - 20)( - 14) \\ ( - 34)[/tex]
2. If m 26 = 128°, calculate m25, m_1, and m23.
+
5 6
113
42
7 8
Answer:
m∠5= 52°
m∠1= 128°
m∠3= 52°
Step-by-step explanation:
Please see the attached picture for the full solution.
Alternatively,
m∠3= m∠5 (vert. opp. ∠s)
m∠3= 52°
Help!!!!!!!!!!!!!!!!!!!!
Answer:
500w + 25 = 200
Step-by-step explanation:
"He withdraws $25 per week..." <------
simplify 10x -(-7+6x)
The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.
-(-7+6x) = -1×(-7) + (-1)×6x
= 7 - 6x
Substituting this result into the original expression gives:
10x -(-7+6x) = 10x + 7 - 6x
Now we can combine like terms by adding the x terms and the constant terms separately:
= (10x - 6x) + 7
= 4x - 7
Therefore, 10x -(-7+6x) simplifies to 4x - 7.
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Samantha, Danielle, Jeff, and Isaac share minutes on their cell phone plan. Samantha used 1/4 of the minutes, Danielle used 0.5 of the minutes, and jeff used 0.2 of the minutes. what percent of the cell phone plan minutes are left for Issac to use? please help asap
Write the equation, In slope-Intercept form, of the line below.
y=-2
x=-2
y=2
x=2
Answer:
(0,-2)
no intercept
(0,2)
no intercept
Step-by-step explanation:
hope this helps
Answer:
Answer:
(0,-2)
no intercept
(0,2)
no intercept
Step-by-step explanation:
hope this helps
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Step-by-step explanation:
50 = -2.5x all u have to do is SOLVE
Answer: The answer is x = -20.
Answer:
x = -20
Step-by-step explanation:
50 = -2.5x
Divide both sides by -2.5
-20 = x
solve -1/2w-3/5=1/5w.
what is the simplified form of 4x - 7 + x - 10
5x-17 is the ans of this question
Answer:
Subtract the numbers
4x-7+x-10
4x-17+x
answer: 5x-17
Step-by-step explanation:
find an equation for line L
Explanation:
Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.
You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.
Solve for X please help I need this asap
Answer:
f
Step-by-step explanation:
fgbdf
Answer:
x=3
Step-by-step explanation:
They are isosceles triangles and angle 2=56.
56=53+x
x=3
What is the value of n?
3.4 x 107 = (2x 104)(1.7 x 10")
The value of n is
Answer:
n=3
Step-by-step explanation:
3.4(107)=2(104)(1.7(10n))
n=3
The ratio of apples to oranges is 2 to 3. If there are a total of 25 pieces of fruit, how many of each type of fruit are there
Which statement below is true about the
measurement 308.40 lb ?
A) It is precise to the nearest 0.01 lb and
accurate to 5 significant digits.
B) It is precise to 5 significant digits and
accurate to the nearest 0.01 lb.
C) It is precise to the nearest 0.1 lb and
accurate to 4 significant digits.
D) It is precise to 4 significant digits and accurate to the nearest 0.1 lb.
E) None of the above.
Answer:
the correct answer is d
7. The ratio of width to length of the United States flag is 10:19.
If the width of the flag at Emersen's school is 4 feet, what is its length in feet?
Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.
I dont understand this
Answer: 1.50+5m=76.50 m=15
Step-by-step explanation:
The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
pick-up fee = $1.50 plus $5 per mile
Since, m is the number of miles in the taxi ride
So, equation for pick-up fee for m miles,
pick-up fee = $1.50 + $5m
Now total fare = $76,50
Thus, required equation to determine m is given as,
1.50 + 5m = 76.50
Subtracting 1.5 both the side we get,
1.50 + 5m - 1.5 = 76.50 - 1.5
⇒ 5m = 75
or, m = 75/5
⇒ m = 15
Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.
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i give out brainlist. write and solve the proportion in the complele statement.
1. 42 in, = ________cm
2. 12.6kg = _______Ib
Answer:
42 in=106.68cm
12.6kg=27.77lb
Step-by-step explanation:
pls give brainliest! im tryna get to vituoso
Answer:
1. 106.68
2. 27.78
Step-by-step explanation:
1. 1 in= 2.54 cm
42 × 2.54= 106.68
2. 1 kg= 2.20462 lbs
12.6 × 2.2= 27.77825
Help me!will give brainliest: how do I graph it
Answer:
Step-by-step explanation:
follow that
Answer:
start at 7 on the y axis the then go down two
Step-by-step explanation:
next 5 points in your graph:
(5,1)
(3,2)
(1,3)
(-1,4)
(-3,5)
brainliest would be appriciated
2 3/6 + 9 1/3 reduced to the lowest terms
Answer:
nah, thank u for the points tho
Step-by-step explanation:
what percent of 120 is 66?
Answer:
55%
Step-by-step explanation:
66
120
x 100% = 55%
Answer:
66 is 55% of 120
Step-by-step explanation:
66 = 120 * x%
percent just means out of 100
for example, 20% is equal to 20/100
so, x% is x/100
66 = 120 * x/100
66/[tex]\frac{x}{100}[/tex] = 120
66 * 100/x = 120
6600/x = 120
cross multiply
6600/x = 120/1
6600 * 1 = x * 120
6600/120 = x
x = 55
Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Answer:
The linear function becomes:
y = 15x + 10
Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.
Step-by-step explanation:
We know that the slope-intercept of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Note: Slope is also termed as the 'rate of change'.
Given that Aron charges an initial service fee of 10$.
Thus, the y-intercept = b = 10
As the rate of change = 15$ per hour
so the slope = m = 15
Therefore, the linear function becomes:
[tex]y = mx+b[/tex]
y = 15x + 10
Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.
For example, in one hour i.e. x = 1, the cost 'y' will be:
y = 15x + 10
y = 15(1) + 10
y = 25 + 10
y = $25
Therefore, in one hour (x=1), the cost will be: y = $25
Evaluate 5m+4 when m=8.
Answer:
44 is the answer for the question
Answer:
44
Step-by-step explanation:
5x8= 40
40+4=44
Bob says that when he multiplies (x+3) (x-3) he gets x^2-6x-9 is he correct explain
