Hailey is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let
C
C represent the total cost of using a computer for
t
t minutes at the internet cafe. A graph of
C
C is shown below. Write an equation for
C
C then state the
y
y-intercept of the graph and determine its interpretation in the context of the problem.
Answers
Answer:
y intercept would be 8, and this value shows the minimum wage or charge for using the computer, no matter what time you use it.
Related Questions
please help! maths hyperbolic functions
Answers
Answer:
See attachments.
Step-by-step explanation:
The quickest way to sketch the given functions, given that the coordinate plane is restricted to -5 ≤ x ≤ 5, is to substitute the values of x into the functions to find the points for the given interval. Plot these points on the given coordinate plane, and draw a continuous curve through the points.
Part (a)Given function:
\(y=\dfrac{5}{x}-2, \quad x > 0\)
Substitute the values of x = 1, x = 2, x = 3, x = 4 and x = 5 into the function:
\(\begin{aligned}x=1 \implies y&=\dfrac{5}{1}-2\\&=5-2\\&=3\end{aligned}\)
\(\begin{aligned}x=2 \implies y&=\dfrac{5}{2}-2\\&=2.5-2\\&=0.5\end{aligned}\)
\(\begin{aligned}x=3 \implies y&=\dfrac{5}{3}-2\\&=-0.333...\end{aligned}\)
\(\begin{aligned}x=4 \implies y&=\dfrac{5}{4}-2\\&=1.25-2\\&=-0.75\end{aligned}\)
\(\begin{aligned}x=5 \implies y&=\dfrac{5}{5}-2\\&=1-2\\&=-1\end{aligned}\)
Plot the points (1, 3), (2, 0.5), (3, -0.333...), (4, -0.75) and (5, -1) on the given coordinate plane and draw a continuous curve through them.
End behaviour:
As x approaches 0 from the positive side, x tends to ∞.As x approaches ∞, y approaches -2.\(\hrulefill\)
Part (b)Given function:
\(y=\dfrac{-2}{x+1}+3, \quad x < -1\)
Substitute the values of x = -2, x = -3, x = -4 and x = -5 into the function:
\(\begin{aligned}x=-2 \implies y&=\dfrac{-2}{-2+1}+3\\&=2+3\\&=5\end{aligned}\)
\(\begin{aligned}x=-3 \implies y&=\dfrac{-2}{-3+1}+3\\&=1+3\\&=4\end{aligned}\)
\(\begin{aligned}x=-4 \implies y&=\dfrac{-2}{-4+1}+3\\&=0.666...+3\\&=3.666...\end{aligned}\)
\(\begin{aligned}x=-5 \implies y&=\dfrac{-2}{-5+1}+3\\&=0.5+3\\&=3.5\end{aligned}\)
Plot the points (-2, 5), (-3, 4), (-4, 3.666...) and (-5, 3.5) on the given coordinate plane and draw a continuous curve through them.
End behaviour:
As x approaches -1 from the negative side, x tends to ∞.As x approaches -∞, y approaches 3.
Please help! I don't know how to do slopes.
Answers
The slope of the given line in the image is -4 , Option A is the answer.
What is the equation of a straight line ?The equation of the straight line is given by
y =mx +c ,
Where m is the slope , C is the intercept
The line is passing through the point
(-1,8) ,(2,-4)
The slope is given by
m = (y₂-y₁) /(x₂-x₁)
m = (-4 - 8 )/(2 +1)
m = -12/3
m = -4
Therefore the slope of the given line in the image is -4 , Option A is the answer.
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Triangles U V W and X Y Z are shown. Angles V U W and Z X Y are congruent, angles U W V and X Z P are congruent, and angles U V W and Z Y X are congruent. The length of side U V is 50, the length of V W is 60, and the length of U W is 40. The length of side Z Y is 48, the length of Y X is 40, and the length of Z X is 32.
Which statement best describes triangles UVW and XYZ?
They are similar and congruent.
They are similar, but not congruent.
They are congruent, but not similar.
They are neither congruent nor similar.
Answers
The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.
How to Identify Congruent Angles?
We are given that;
Angles VUW and ZXY are congruent.
Angles UWV and XZP are congruent.
Angles UVW and ZYX are congruent.
Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.
Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .
The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .
Therefore, the triangles UVW and XYZ are similar but not congruent.
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Answer:
B. They are similar, but not congruent
pls help!!
Q:In a random sample, 8 students were asked how long it takes them to get ready for school in the morning. The times are listed below, compute the following:
22 29 21 24 27 28 25 36
Range:
Variance:
Std Deviation:
Answers
The required statistical parameters has been computed as follows:
Range = 15.
Standard deviation, SD = 4.4441.
Variance = 19.75.
How to calculate the range?Mathematically, the range of a data set can be calculated by using this formula;
Range = Highest number - Lowest number
Range = 36 - 21
Range = 15.
How to calculate the mean?Mathematically, the mean for these data sets would be calculated by using this formula:
Mean = [F(x)]/n
F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36
F(x) = 212.
Mean = 212/8
Mean = 26.5
Next, we would calculate the standard deviation by using this formula:
SD = √(1/n × ∑(xi - u₁)²)
SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)
Standard deviation, SD = 4.4441.
In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 4.4441²
Variance = 19.75.
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Brainliest if correct. 1. In your own words, describe the difference between the meaning of a negative
exponent and the meaning of a fractional exponent.
2. You have some money to invest in one of two accounts. The first account pays
5% simple interest, and the second pays 4% compound interest. How would
you decide which account to use? Discuss your answer.
3. Write an exponential growth function, and then describe a real-world situation
that the function could represent. Do the same for an exponential decay
function. Share your functions and the situations they represent.
Answers
An exponential function is a function one in which the a base value is
raised to the power of a variable.
The correct responses are;
1. Negative exponent; \(\displaystyle a^{-x} = \frac{1}{a^x}\) Fractional exponent; \(a^{\frac{n}{m} } = \left(\sqrt[m]{x} \right)^n\)2. When saving for less than 12 years use the first account. When saving for more than 12 years use the second account. 3. An exponential growth function is; A = (1 + r)ⁿ. A real world situation of exponential growth function, is the amount in a compound interest account. An exponential decay function is A = (1 - r)ⁿ. An A real world situation of exponential decay is the price value of a device with time after purchase.Reasons:
1. A negative exponent is the reciprocal of the given exponent with the sign of the power changed from negative to positive.
\(\displaystyle a^{-x} = \frac{1}{a^x}\)A fractional exponent is an exponent of the root of the base to the denominator, which is then raised to the power of the numerator of the numerator of the fraction.
\(a^{\frac{n}{m} } = \left(\sqrt[m]{x} \right)^n\)2. The interest paid in the first account with simple interest is given as follows;
\(\displaystyle I = \frac{P \times r \times t}{100}\)
Where;
r = The interest rate = 5%
Which gives;
Interest from the first account I₁ = 0.05·P·t
The amount in the account, A₁ = P + 0.05·P·t = P·(1 + 0.05·t)
The compound interest in the second account is; \(A = \mathbf{P \times \left(1 + r\right)^t}\)
The compound interest rate on the second account is; r = 4% = 0.04
Which gives;
\(A_2 = \mathbf{P \times \left(1 + 0.04\right)^t}\)
In the first few years, we have;
The simple interest account gives a higher account balance than the compound interest account
On year t = 11, we have;
A₁ = P·(1 + 0.05 × 11) = 1.55·P
\(A_2 = P \times \left(1 + 0.04\right)^{11} \approx \mathbf{1.54 \cdot P}\)
On year t = 12, we have;
A₁ = P × (1 + 0.05×12) = 1.6·P
\(A_2 = P \times \left(1 + 0.04\right)^{12} \approx \mathbf{1.601 \cdot P}\)
Therefore, just before, year 12, the second account, (compound interest
account) yields more interest.
The account to use is therefore;
For short term savings (less than 12 years) use the first account, having a simple rate.For long term savings (more than 12 years) use the second account having a compound interest rate.3. An exponential growth function is; A = (1 + r)ⁿ
A real world situation that the function could represent is the amount A, in a compound interest account
r = The interest rate
n = The duration the interest is applied
An exponential decay function is; \(A = \mathbf{(1 - r)^t}\)
A real world situation that the function could represent is the price value of a device with time
Where;
r = The rate at which the price changes;
t = The time
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Can anyone help with this question
Answers
Answer: A) x=6
Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.
so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.
(8-6)=2
9 times 2= 18
3 times 6= 18
this means that x would equal 6
if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.
:)
Geometry proofs lm no
Answers
Answer:
?
Step-by-step explanation:
Which phrase describes the geometric interpretation of dividing a complex number z by i?
O Reflect z across the real axis.
O Reflect z across the imaginary axis.
O Rotate z by 90° clockwise about the origin.
O Rotate z by 90° counterclockwise about the origin.
Answers
Answer: Rotate z by 90° clockwise about the origin.
Step-by-step explanation:
Suppose we have the number z = a + b*i, that can be represented with the point (a, b) in a coordinate axis.
If we divide z by i, we have:
\(\frac{z}{i} = \frac{a + b*i}{i} = \frac{a + b*i}{i} *\frac{i}{i} = \frac{a*i - b}{-1} = b - a*i\)
This point will be represented with the point (b, -a)
Then we have the transformation:
(a, b) ----> (b, -a)
This is a rotation of 90° clockwise about the origin.
Then the correct option is:
Rotate z by 90° clockwise about the origin.
Answer:
C
Step-by-step explanation:
rotate Z clockwize
4.7 - 2.3 = 4.7 + (-2.3)
Answers
Remember that when multiplying signs:
If both are the same, you get a +
If the're different, you get a -
Thereby,
\(\begin{gathered} 4.7+(-2.3)\rightarrow4.7-2.3 \\ \text{and} \\ 4.7-2.3=4.7+(-2.3)\text{ } \\ is\text{ True} \end{gathered}\)Answer:
2.4 cause i just did it
Find the area of the shaded region. XTRA POINTS!!!! PLUS BRAILIEST!!!!!!
NO LINKS OR WEBSITES!!!!! YOU WILL GET REPORTED!!!!!
Answers
Answer:
\(192.5ft^{2}\)
Step-by-step explanation:
\(Area=\frac{260}{369} \pi (8.35^{2} )+\frac{1}{2} (8.35^{2})sin\)
\(=158.195+34.3316\)
\(=192.5\)
\(------------\)
hope it helps..
have a great day!!!
Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?
Answers
1 fith of the sum of the 3 times a number and 9
Answers
Answer
3*9=27
27/ 1/5
5.25
Step-by-step explanation:
5.25=5 1/4
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answers
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
what property is illustrated below
-5x + 2 =2 -5x
Answers
Answer:
distributive property
12. Describe how to use place-value blocks
to regroup to solve the subtraction
problem below. What is the difference?
456-238
Answers
The resultant difference value of the expression using the place-value blocks is 218.
What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + 5
4x + y
Given is to find the difference value of -
456 - 238
using place-value blocks.
Assume that the resultant difference is {x}. So, we can write -
{x} = 456 - 238
Using the place-value blocks, we can write -
4 5 6
- 2 3 8
______
2 1 8
Therefore, the resultant difference value of the expression using the place-value blocks is 218.
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what is 3/4 of 1/2 of a pear
Answers
Answer:
3/8
Step-by-step explanation:
First, you need to find 1/2 of a pear. Which is 1/2
Then, you need to find 3/4 of 1/2 of the pear.
To do this, simply multiply 3/4 with 1/2
3×1 = 3
4×2 = 8
3/8 is your answer
Given f(x)=14(5−x)2 what is the value of f(11)?
Answers
Answer:
f(x)=14(5−x)2
f(11)=14(5-11)2
f(11)=14*-6*2
f(11)=-84*2
f(11)= -168
Step-by-step explanation:
Answer:
it would be -82
Step-by-step explanation:
Use the relashonships between the angles to find the value of x
Answers
Answer: and I oop skssss
Step-by-step explanation:
87 = x
hope this helped
A soda can has a radius of 1 inch and a height of 5 inches and a density of 3.2 g/mL. What is the mass?
Answers
The mass of the soda can is given by the formula M = V*d, where d is the density of the soda can. Substituting the given values, we get M = 15.708 cubic inches * 3.2 g/mL = 50.226 g.
Therefore, the mass of the soda can is approximately 50.226 grams.
Yesterday, Rachel went on a bike ride. Her average speed was 9 miles per hour. Today, she went on another ride, this time averaging 14 mlles per hour. In the two days, she biked for a combined total time of 12 hours. Let x be the number of hours she biked yesterday. Write an expression for the combined total number of miles she biked in the two days.
Answers
Rachel rode her bike a total distance in miles over the course of two days, as shown by the expression: -5x + 168.
What is meant by term speed of object?Velocity is the pace and directions of an object's movement, whereas speed is really the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed is just a scalar value.Let x be the duration of Rachel's bicycle ride yesterday.
Distance = speed * time
According to information provided, Rachel's average speed yesterday was 9 miles per hour.Therefore, the distance travelled in x hours would be: 9x.Additionally, we are informed that Rachel biked nine times in total 12 hours.Therefore, the second day's biking time would be: 12 - x.At a pace of 14 miles per hour, the distance travelled would be: 14(12 - x)The total distance that Rachel would travel is: 9x + 14(12 - x)Thus, the equation becomes.
= 9x + 14(12 - x)
On solving;
= 9x + 168 - 14x
=-5x + 168
Rachel rode her bike a total of miles over the course of two days, as shown by the expression: -5x + 168.
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What is 12/7 as an mixed number ??
Answers
Answer:
1 5/7
Step-by-step explanation:
\(1 \frac{5}{7} \)
is the answer if you meant to say mixed fraction
(50 POINTS AND BRAINLYEST)
4. Select the dimensions for a rectangular prism. Do not duplicate dimensions (no square bases or faces, and no cubes).
(5 total points – 1 point for accurate dimensions, 1 point for volume, 1 point for scale factor, 2 points for dilated volume)
Length =
Width =
Height =
a) Find the total volume of your prism. Show work.
b) Choose a scale factor of dilation that will CONTRACT your prism.
Scale factor =
c) Find the volume of the dilated prism. Show work
Answers
The chosen dimensions are given as follows:
Length = Width = Height = 3.
a) The total volume of the prism is given as follows: 162 cubic units.
b) The scale factor to contract the prism is given as follows: 1/3.
c) The volume of the dilated prism is given as follows: 6 cubic units.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
Length = 3, Width = 6, Height = 9.
Hence the volume is of:
V = 3 x 6 x 9
V = 162 cubic units.
The attributed scale factor is given as follows:
1/3.
As it is a contraction, the scale factor must be less than 1.
Hence the fraction that the volume of the dilated prism will represent is given as follows:
(1/3)³ = 1/27.
The scale factor is cubed as the side lengths are given in units while the volume is given in cubic units.
Hence the volume of the dilated prism is given as follows:
1/27 x 162 = 6 cubic units.
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ASAP Write an equation of a quadratic formula with the given properties: f(3)=f(-5)=0;f(-6)=-36
Answers
The quadratic equation y = - 4 · x² - 8 · x + 60 contains the points (3, 0), (- 5, 0) and (- 6, - 36).
How to derive a quadratic equation that contains three points
In this question we find the coordinates of three points set on Cartesian plane and we are asked to find the quadratic equation that contains the these points. The standard form of the quadratic equation is shown below:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.We can determine the values of the three coefficients because the number of known points is equal to the number of coefficients. Then, we have the following system of linear equations by replacing x and y on each of the three points:
9 · a + 3 · b + c = 0
25 · a - 5 · b + c = 0
36 · a - 6 · b + c = - 36
Then, the solution to the system is found by numerical methods:
(a, b, c) = (- 4, - 8, 60)
The equation that contains the three points is y = - 4 · x² - 8 · x + 60.
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Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?
The sum of the values of Point A and Point B is negative.
The sum of the values of Point A and Point B is zero.
Point B lies twice the distance from 0 as Point A.
Point B lies to the left of Point A on a number line.
Answers
Answer:
The answer is The sum of the values of Point A and Point B is zero.
Step-by-step explanation:
Answer:
The sum of the values of Point A and Point B is zero.
Step-by-step explanation:
The side of a triangle are 64, 47 And 39 use the Pythagorean theorem to determine if a triangle is right acute or obtuse
Answers
Answer: obtuse
Step-by-step explanation:
64+47=111
111>39
A 150-yard pipe is cut to provide drainage for two fields. If the length of one piece (a) is three yards less than twice the length of the second piece (b), what are the lengths of the two pieces?
Answers
Answer:
a = 99
b = 51
Step-by-step explanation:
We can translate this problem into a linear equation. We know that:
2b - 3 = a
and
a + b = 150
We will start by minusing b from both sides in the second equation, giving us:
a = 150 - b
Then, we will substitute this into our second equation, giving us:
2b - 3 = 150 - b
We will add 3 and b to both sides, giving us:
3b = 153
Then we divide by 3:
b = 51
Now, we will substitute this into our second equation, giving us:
a + 51 = 150
Subtract 51 from both sides gives us:
a = 99
So, the a piece is 99 yards long, and the b piece is 51 yards long.
a = 99
b = 51
Hope this helped!
Triple XXX Restaurant, a historic and popular diner in West Lafayette, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order French fries is 0.50. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.
Answers
==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?
Answers
Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer
How to write a compound inequality in another way?
An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Given: y + 3 ≥ 2 and y + 3 < 6
To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:
y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:
2 ≤ y+3 and y + 3 < 6
Combine the two:
2 ≤ y+3 < 6
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Would anyone be able to verify this or help me
Answers
Answer: A
Step-by-step explanation:
To fins the inverse, you replace the y with x and x with y, then solve for y. Since H(x) is the same as saying y=x, you know that the unverse will still be y=x. Therefore, A is the correct answer.
To find the inverse, you switch both variables around.
h(x) = x
y = x
x = y
~Solve for y
y = x
Therefore, the answer is A
Best of Luck!
Help please!!!! if <1 <3 which conclusion can be made?
Answers
Answer:
B. c // d
Step-by-step explanation:
When ∠1 = ∠3, it means that they are corresponding angles and for that to be true, there must be a pair of parallel lines and one line to cut across both of the lines. Thus, we can conclude that c and d are the parallel lines and a is the line that cut across both of them, creating the corresponding angles.