WILL GIVE THE BRAINLIST!!!
In the table below, x represents miles traveled and y represents the cost to travel by train.
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Answers
Answer:
Option B. 4
Step-by-step explanation:
By the table mentioned by you in the comments that the correct table is
x(miles) 2 5 8 12
y(cost) 8.5 15.25 22 31
As we know that the standard equation of a linear function is represented as
y = mx + c
For the points (2, 8.5) and (5, 15.25)
[tex]Slope(m)=\frac{15.25-8.5}{5-2}=\frac{6.75}{3}=2.25[/tex]
y = 2.25x + c
This function passes through (2, 8.5)
8.5 = 2.25×2 + c
c = 8.5 - 4.5 = 4
Therefore, y- intercept of the function will be option B. 4.
The y-intercept of this line is (4). Therefore, the estimated y-intercept of the function represented by the given data is 4.
To find the y-intercept of the function from the provided table, we look for the point where (x = 0), which represents the cost when no miles are traveled.
However, in the given table, there is no entry for \(x = 0\), which means we don't have a direct value for the y-intercept from the given data.
To estimate the y-intercept, we can use the concept of linear interpolation.
We can assume that the relationship between miles traveled and cost is linear, so we can find the slope of the line passing through two consecutive points and use it to estimate the cost when (x = 0).
Using the points (2, 8.5) and (5, 15.25) from the table:
[tex]\[ \text{Slope} = \frac{{15.25 - 8.5}}{{5 - 2}} = \frac{6.75}{3} = 2.25 \][/tex]
Now, we can use the slope and one of the points to find the y-intercept using the point-slope form of the equation of a line: [tex]\(y - y_1 = m(x - x_1)\).[/tex] Let's use the point (2, 8.5):
y - 8.5 = 2.25(x - 2)
y - 8.5 = 2.25x - 4.5
y = 2.25x + 4
The y-intercept of this line is (4). Therefore, the estimated y-intercept of the function represented by the given data is [tex]\(\boxed{4.00}\)[/tex].
Complete question:
By the table mentioned by you in the comments that the correct table is
x(miles) 2 5 8 12
y(cost) 8.5 15.25 22 31
In the table below, x represents miles traveled and y represents the cost to travel by train.
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Related Questions
The table shows the height of an object, h(t), in meters after t seconds. Use your calculator to find the quadratic function. Find the approximate time, to the nearest hundredth of a second, after which the object will reach its maximum height.
Answers
.. h(t) = -4.9t^2 +23.4t +120
The maximum height is reached at t=-23.4/(2(-4.9)) ≈ 2.39 seconds.
quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in terms of x the company also discovers that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and 869 to produce 10 calculators FIND THE TOTAL COST OF PRODUCING 1 CALCULATOR
Answers
Answer:
$23
Step-by-step explanation:
We will use a quadratic regression to solve this.
Using a graphing calculator, put the number of calculators into the first list (x) and the cost to produce into the second list (y).
Next we run the quadratic (x^2) regression. Doing this gives us an equation in the form
y = ax²+bx+c. The values we are given for a, b and c are
a = 8.9999999999; b = -4.999999999999; c = 18.999999999
These can be rounded to a = 9, b = -5 and c = 19. This gives us the equation
y = 9x²-5x+19
Substituting 1 in place of x, we have
y = 9(1²)-5(1)+19 = 9(1)-5+19 = 9-5+19 = 4+19 = 23
Dan measures an object to the nearest fourth inch. He records the length as 4 1/4 inches. Geri measures the same object the nearest half inch. Could Dan and Geri get the same measurement? Explain.
Answers
Dan and Geri cannot get the same measurement for whatever object it is that Dan has measured. (They may get the same measurement on other objects.)
if 7(t-4)-2t=4(t-3), what is the value of t?
Answers
multiply 7 and 4 by all in parentheses
(7*t) + (7*-4) - 2t= (4*t) + (4*-3)
7t -28 - 2t= 4t - 12
combine like factors
5t - 28= 4t - 12
add 28 to both sides
5t= 4t + 16
subtract 4t from both sides
t= 16
CHECK:
7(t-4)-2t=4(t-3)
7(16-4) - 2(16)= 4(16-3)
7(12) - 32= 4(13)
84 - 32= 52
52= 52
ANSWER: t= 16
Hope this helps! :)
Elliot and Katy both bought the same lunchbox for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. How much more did Katy pay in sales tax than Elliot? A.$0.09 B.$0.27 C.$0.63 D.$0.36
Answers
Elliot pays a total of $0.27 in tax
Katy pays a total of $0.36 in tax
[tex]0.36 - 0.27 = 0.09[/tex]
z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?
A. 360
B. 60
C. 90
D. 40,
Answers
Rosen 15 how many solutions are there to the equation x1 x2 x3 x4 x5
Answers
Therefore, if x⁵ is the highest exponent, then there are 5 possible answers.
However, it is important to note that not all of these have real answers for each one. In some cases, an x⁵ equation will have a number of real answers and a number of imaginary answers. Nevertheless, they will always add to 5.
A spinner with
9
equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice?
note their are 7 white and 2 black
Answers
Polynomials are closed under the operation of subtraction.
Which statement best explains the meaning of closure of polynomials under the operation of subtraction?
A. When any two polynomials are subtracted, the coefficients of like terms are always subtracted.
B. When any two polynomials are subtracted, the result is always a polynomial with negative coefficients.
C. When any two polynomials are subtracted, the result is always a polynomial.
D. When any two polynomials are subtracted, the result is always a monomial or a binomial.
Answers
A polynomial is an expression consisting of variables and coefficients, that involves the operations of addition, subtraction, multiplication .
polynomials are closed under the operations of addition, subtraction, and multiplication.
Polynomials will be closed under an operation if the operation produces another polynomial.
The statement that best explains the meaning of closure of polynomials under the operation of subtraction is
option C. When any two polynomials are subtracted, the result is always a polynomial.
The histogram shows the number of hours volunteers worked one week.
What percent of the volunteers worked 8 to 11 hours or 16 to 19 hours?
Enter your answer in the box.
%
Answers
Answer: 45%
Step-by-step explanation:
From the given histogram, The number of volunteers worked 8 to 11 hours = 5
The number of volunteers worked 16 to 19 hours = 4
The number of volunteers worked 8 to 11 hours or 16 to 19 hours =5+4=9
Total number of volunteers = 4+2+5+4+4+1=20
The percent of volunteers worked 8 to 11 hours or 16 to 19 hours is given by :-
[tex]\frac{9}{20}\times100=45\%[/tex]
Hence, the percent of the volunteers worked 8 to 11 hours or 16 to 19 hours =45%
Please help !!! Need fast
Answers
4x = 60
x = 15
answer is B. 15
SO we can say that 4x + 30 = 90
4x = 60
x = 15
True or False. (0,0) is a solution to problem #1. This means that (0,0) is in the solution region.
Answers
A point that is a solution is in the solution region.
Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (2,4) and has the origin as its vertex. what is the standard form of the equation
Answers
.. f(x) = a(x -0)^2 +0
.. f(x) = ax^2
For the given point,
.. f(2) = 4 = a*2^2 = 4a
Then a=1 and your equation is
.. f(x) = x^2
Given f(x)=x2+14x+40 .
Enter the quadratic function in vertex form in the box.
f(x)=
Answers
the quadratic function in vertex form is--------------> y=a*(x-h)²+k
we have
f(x)=x²+14x+40
y=x²+14x+40
We can convert to vertex form by completing the square on the right hand side
y-40=x²+14x
y-40-49=x²+14x-49------> subtract 49 on BOTH sides to preserve the equality
y-40=(x²+14x+49)-49
y=(x²+14x+49)-49+40---------> y=(x+7)²-9
the answer is
the quadratic function in vertex form-----------> y=(x+7)²-9
the vertex is the point (-7,-9)
Answer: f(x) = (x+7)^2 -9
Step-by-step explanation:
I know that this is late but hopefully it will help someone else.
How do I solve this?
Answers
.. (-3/2)x^2 +0x +3
to the pattern of
.. ax^2 +bx +c
and you can see that
.. a = -3/2 . . . b = 0 . . . c = 3
____
Because a is negative, the parabola opens down. Because it opens down, the vertex is the high point, the maximum.
____
The y-intercept is always c. Here c=3, so the y-intercept is (0, 3).
____
The axis of symmetry is given by
.. x = -b/(2a)
.. x = -0/(2*(-3/2)) = 0
____
Because the y-intercept is on the axis of symmetry, it is the vertex.
.. vertex = (0, 3)
____
Put x=±2 in the equation and evaluate.
.. y = (-3/2)*(±2)^2 +3
.. = (-3/2)*4 +3
.. = -6 +3 = -3
The two points are (-2, -3) and (2, -3).
The diagram shows a line with intercepts 3 and 9 and one of many rectangles which can be inscribed under this line and within the first quadrant.
a. Write an equation for the line.
b. Determine if the rectangle can have x = 4 and y = 2 as its dimensions.
c. Find x and y if the rectangle is a square.
d. Write an expression for A, the area of the rectangle, using x as the only variable.
e. Find x if the area of the rectangle is 6.
f. Which x gives the rectangle its largest area?
Answers
.. x/x-intercept +y/y-intercept = 1
.. x/9 +y/3 = 1
b) The point (x, y) = (4, 2) does not satisfy the equation. (see the graph) These cannot be the dimensions of an inscribed rectangle.
c) The intersection with the line y=x is (x, y) = (2.25, 2.25). These are the dimensions of an inscribed square.
d) The equation can be rewritten as
.. x +3y = 9
.. y = 3 -(x/3)
Then the area can be written as
.. A = xy = x(3 -x/3)
e) For x=6, the area is
.. A = 6(3 -6/3) = 6*1 = 6 . . . . square units
f) The parabola described by A has zeros at x=0 and x=9. The vertex of that parabola is on the line of symmetry, at x = 4.5. That value of x gives the maximum area.
Each chef at "sushi emperor" prepares 151515 regular rolls and 202020 vegetarian rolls daily. on tuesday, each customer ate 222 regular rolls and 333 vegetarian rolls. by the end of the day, 444 regular rolls and 111 vegetarian roll remained uneaten. how many chefs and how many customers were in "sushi emperor" on tuesday?
Answers
.. 15c -2q = 4
.. 20c -3q = 1
we find that c=2 and q=13 are common solutions.
There were 2 chefs and 13 customers on Tuesday.
_____
It looks like this is better solved using proportions, since the ratio of roll production is different than the ratio of roll consumption. There can only be one solution.
.. (15c-4)/(20c-1) = 2/3 . . . . the ratio of rolls produced is the same as the ratio of rolls consumed
.. 3(15c -4) = 2(20c -1)
.. 45c -12 = 40c -2
.. 5c =10
.. c = 2 . . . . there were 2 chefs
They produced 30 rolls, of which 4 were left and the remaining devoured 2 at a time. Hence there were
.. (30 -4)/2 = 13 customers.
Answer:
There were 2 chefs and 13 customers.
Step-by-step explanation:
The relationship between the monthly fee that the cable company charges for internet service and the fee for downloading over 32KB of information is modeled by the linear function f (x) = 1.25x + 45, where x is the number of KB over 32. If the total bill for a month is $170, how many KB was in excess of 32 KB that month?
Answers
Because if the total is 170, then
1.25x = 170-45
1.25x = 125
x = 100
1.25x = 125
x = 100
Please help and show all work. 20 points.
Answers
.. Asector = (1/2)r^2*θ . . . . . . . angle in radians
.. = (1/2)*(24 m)^2*(2π/3)
.. = 192π m^2
The area of the white triangle in that sector is
.. Atriangle = (1/2)r^2*sin(θ)
.. = (1/2)*(24 m)^2*(√3)/2
.. = 144√3 m^2
The area of the shaded segment is the difference of these
.. Asegment = Asector -Atriangle
.. = (192π -144√3) m^2
The 2nd selection is appropriate.
Which properties of equality justify steps b and d?
1. Multiplication Property of Equality; Subtraction Property of Equality
2. Subtraction Property of Equality; Division Property of Equality
3. Subtraction Property of Equality; Multiplication Property of Equality
4. Subtraction Property of Equality; Subtraction Property of Equality
Answers
Subtracting seven from both sides is the justification for step b to get rid of the positive seven on both sides. Multiplying by 2 on both sides to get rid of the fraction on the left side of the equation is the justification for step d.
The properties that justify steps b and d, is 1. Multiplication Property of Equality; Subtraction Property of Equality.
Understanding these properties is crucial in solving equations properly.
Key Properties of Equality:
Multiplication Property of Equality: This property states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.
Example: If [tex]a = b[/tex], then [tex]a \times c = b \times c[/tex].
Subtraction Property of Equality: This property indicates that if you subtract the same number from both sides of an equation, the two sides will also remain equal.
Example: If [tex]a = b[/tex], then (a - c = b - c.
Division Property of Equality: Similar to multiplication, this property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.
Example: If [tex]a = b[/tex] and [tex]c \neq 0[/tex], then [tex]\frac{a}{c} = \frac{b}{c}[/tex].
Justification Steps b and d:
Given the context, let's assume step b involves subtracting a term from both sides of an equation, and step d involves multiplying both sides by a number.
For step b (subtracting x):
This step is justified by the Subtraction Property of Equality because the same amount [tex]x[/tex] is subtracted from both sides, which keeps the equality balanced.
For step d (multiplying by a number):
This step is justified by the Multiplication Property of Equality as you are multiplying both sides of the equation by the same non-zero number, thus preserving the equality.
Determine if x + 3 is a factor of -3x^3+6x^2+6x+9, and how do you know?
Answers
-3(x^3 - 2x^2 - 2x - 3)
If x + 3 is a factor, what is inside the brackets should be 0 when x = - 3 It is not. There is only one real root and that is when (x - 3) is equated to 0. Just to show the root is +3, the graph is included.
This is embarrassing.. went to a Hobby Lobby job interview.. and flunked the math test.. ack! this involved percentages..how do you get 66% off of a total, and like tax % 7.5 we are not allowed to use a calculator
Answers
To get a percentage off of a total without a calculator, multiply the total by the percentage as a decimal. To calculate the total amount including tax, multiply the total by the tax percentage as a decimal and then add the result to the total.
Explanation:To calculate a percentage off a total without using a calculator, you can multiply the total by the percentage as a decimal. For example, to find 66% off of a total, multiply the total by 0.66. To calculate the total amount including tax, you can add the tax amount to the original total. For a 7.5% tax, multiply the total by 0.075 and then add the result to the total.
Learn more about Percentages here:https://brainly.com/question/32197511
#SPJ11
Kana earns a $25,000 salary in the first year of her career. Each year, she gets a 4% raise. How much does Kana earn in the first 10 year of her career? (Round the final answer to the nearest dollar)
Answers
Explanation:
This can be represented as a geometric sequence, with a common ratio of 1.04. This is because she earns 100% of her previous salary plus an extra 4% each year; 104%=104/100 = 1.04.
The explicit form of the sequence would be
25000(1.04)ⁿ⁻¹,
where n is the number of years. We want the sum of the first ten years, so we want
[tex]\Sigma_{n=1}^{10}25000(1.04)^{n-1}[/tex]
Using technology, this comes out to $300,152.68.
15p for an answer please
Answers
9/8
Hope this helps!
commet if i am incorrect
Bailey writes 5 + 8 on the left-hand side of a paper and then writes 4 + 9 to the right of it. Which symbol should Bailey write between the two sets of numbers to show they have the same sum
a. +
b. –
c. ≠
d. =
Answers
13 = 13
ANSWER: D) =
The equals sign should be in between because the numbers on each side add up to the same number.
Hope this helps! :)
Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280lb mixture that is 8% protein?
How many pounds of the cornmeal should be in mixture?
How many pounds of the soybean meal should be in mixture? 50 POINTS!!!!
Answers
0.14x + 19.6-0.07x = 22.4
0.07x + 19.6 = 22.4
0.07x = 2.8
x = 2.8 / 0.07 = 40
x = 40 pounds of Soybean
280 -40 = 240 of cornmeal
This is when one word has more than one definition and its 15 letters
Answers
Simone is buying 10 bracelets for her friends. Each bracelet costs $8. Simone is also buying a necklace for her mother for $18. She believes that her total will be $98. Which expression could be used to estimate the reasonableness of Simone’s total? 8 × $8 + $10 8 × $8 + $18 10 × $8 + $20 10 × $10 + $10
Answers
that is $100 so I'm assuming the extra $2 is because of taxes
=98 which mean simone is right
The angle of depression from D to F measures 10°. If DE = 300 m, find DF. Round your answer to the nearest tenth.
304.6 m
1,910.2 m
1,727.6 m
1,701.4 m
Answers
Answer:
Option C) 1727.6 m
Step-by-step explanation:
Given that the angle of depression from D to F measures 10°.
Also given that DE =300 m.
Since 10 is angle of depression, we can visualize a right triangle with hypotenuse DF=300 m and EF, DE two legs.
In the right triangle DEF, the angle opposite 10 is the side DE[tex]\frac{DF}{DE} =\frac{hypotenuse}{opposite side}= cosec 10\\\\DF =300 cosec 10 = 1727.6 m[/tex]
by Using trignometric ratios
Find the length of the hypotenuse of a right triangle with legs of lengths 9 and 12 If necessary round your answer to two decimal places
Answers
[tex] {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 = 225 \\ x = \sqrt{225} = 15[/tex]
hope this helps