Answers
a. The decrease road line verified by given function while increase in the highway The function representing the railroad miles has a negative slope, indicating a decrease. The function representing the highway miles has a positive slope, indicating an increase.
b. It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
Given
The function y =-1518x + 144.068 represents the railroad miles.
While the function y =-360.5x + 155.18models the number of highway miles.
For each function, x is the number of years after 1995.
The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.
Therefore,
-1518x + 144.068= -360.5x + 155.18
-1518x+360.5x = 155.18-144.068
1157.5x = 11.112
x = 9
Then,
1995 - 9 = 1986
It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.
What are miles?A mile, sometimes an international mile or base mile to distinguish it from other miles, is an imperial unit in the United Kingdom and a standard unit of distance in the United States. both are based on the older English unit of length, which is 5280 English feet or 1760 yards. The legal mile was standardized by an international agreement between the Commonwealth of Great Britain and the United States in 1959, when it was officially redefined in SI units to exactly 1609.3 meters.
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Related Questions
What is the solution to the equation x\6 = 4\12?options:x = 2x = 6x = 4x = 1
Answers
SOLUTION
We want to solve the equation
[tex]\frac{x}{6}=\frac{4}{12}[/tex]cross multiplying, we have
[tex]\begin{gathered} 12\times x=6\times4 \\ 12x=24 \\ x=\frac{24}{12} \\ x=2 \end{gathered}[/tex]Hence the answer is x = 2, the first option
please helppp
What is the derivative of 2x^2(cotx)?
Answers
the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)
There's still more, there's 3 parts I just can't see them until I have my answer
Answers
The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,
[tex]c=5[/tex]The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,
[tex]\begin{gathered} c=\frac{20}{100}\cdot n+1.40 \\ =0.20n+1.40 \end{gathered}[/tex]So answer is,
Restaurant X: c = 5
Restaurant Z: 0.20n + 1.40
(b)
Plot the system of equation on the graph.
(c)
The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.
Answer: 18
Which of the following belongs under the radical symbol in the quadraticformula below?-bt 土?X2a
Answers
The quadratic formula for a polynomial is given by:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Therefore, option (C) is correct.
an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .
Answers
Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.
How to solve for the cost of small and large sundae that were sold?The ice cream shop sells small and large sundaes .
One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.
Therefore,
let
x = cost of each small sundae
y = cost of each large sundae
Therefore,
30x + 50y = 420
15x + 35y = 270
multiply equation(ii) by 2
30x + 50y = 420
30x + 70y = 540
subtract equation(i) from equation(ii)
20y = 120
y = 120 / 20
y = 6
Hence,
30x + 50(6) = 420
30x + 300 = 420
30x = 420 - 300
30x = 120
x = 120 / 30
x = 4
Therefore,
cost of small sundae = 4 dollars
cost of large sundae = 6 dollars
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Factor the expression below.
x2 – 81
Answers
Answer:
The factors are (x+9),(x−9).
Step-by-step explanation:
heeeeeeelp me please
Answers
Answer:
x=9
y=27
Step-by-step explanation:
the scale factor is [tex]\frac{4}{3}[/tex] so 6 × [tex]\frac{4}{3}[/tex] is x - 1
x-1 is 8
so x is 9.
at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.
Answers
The no. of schnauzers in the annual dog show are 20.
Assume that there are x Schnauzers at the annual dog show.
Scotties entered in the yearly dog show: x + 3
There are 2x - 5 Wirehaired Terriers entered in the annual dog show.
There are 78 dogs in all competing in the yearly dog show.
Consequently, the equation becomes
x + x + 3 + 2x - 5 = 78.
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.
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Please help!! Math is not my cup of tea and I’m really struggling!! ASAP
Given the function:
f(x)=x²-3x - 4
Find the following values.
a) f(2)
f(2)=
b) f(4)
ƒ(4)=
c) f(-3)
ƒ(-3) =
Answers
Answer: [tex]-6, 0, 14[/tex]
Step-by-step explanation:
[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]
Answer:
5782
Step-by-step explanation:
td j envalentonado 8jdjdyzh d
Solve for the value of z.
(7z+7)°
(9z-7)°
Answers
Base on congruency of vertical angles, the value of z is 7.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
In other words, vertically opposite angles are angles that opposed each other at one specific vertex, and are formed by two straight intersecting line.
Vertically opposite angles are congruent to each other.
Therefore,
7z + 7 = 9z - 7
subtract 9z from both sides of the equation
7z + 7 = 9z - 7
7z - 9z + 7 = 9z - 9z - 7
-2z + 7 = - 7
subtract 7 from both sides of the equation
-2z + 7 = - 7
-2z + 7 - 7 = - 7 - 7
- 2z = - 14
divide both sides by - 2
z = - 14 / -2
Therefore,
z = 7
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Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.
Answers
Answer:
Step-by-step explanation:
arthur walks 3 km north, and then turns east and walks 4 km. what is distance traveled and his displacement?
Answers
If arthur walks 3 km north, and then turns east and walks 4 km. The distance traveled is 7km and his displacement is 5km.
Distance travelled and displacementDistance traveled:
Distance traveled = Km north + East Km
Distance traveled = 3 km + 4 km
Distance traveled = 7 km
Displacement
Using Pythagoras theorem to determine or find the displacement
B² = A ²+AB²
B² = 3 ² +4 ²
B = 9+16
B = √ 25
B = 5 km
Therefore the 7km is the distance and 5km is the displacement.
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Find g'(x) for g(x) = 2x√x² +7
Answers
Answer:
[tex] {2x}^{2} + 7[/tex]
so hope it helps
Find the unit price (in dollars per ounce) if a 21-ounce can of pineapple costs $3.36.
a. $0.18 per ounce
b. $0.16 per ounce
c. $0.19 per ounce
d. $0.23 per ounce
e. $0.21 per ounce
Answers
check whether the following are quadratic equations
x^ 2 -2x=(-2)(3-x)
Answers
The given equation x²-2x=(-2)(3-x) is a quadratic equation.
What is quadratic equation?A second-degree quadratic equation in algebra is one that involves x.
The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
The coefficient of x2 must be a non-zero term in order for an equation to meet the definition of a quadratic equation.
given:
x²-2x=(-2)(3-x)
on expanding,
x²-2x = -6+2x
x²-4x+6 = 0
hence above equation is in form of ax²+bx+c=0, where a=1, b=-4. c=6
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Please answer quickly
Answers
Answer:
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
x1=6
y1=-2
m=5/2
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Let h(x) = x+3−−−−−−√ and k(x) = 2x + 7. Find the value h(k(3)).
Answers
The value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
As given in the question,
Given functions are :
h(x) =√ x+3 and k(x) = 2x +7
To find the value of the composite function h(k(3)) :
First calculate for k(3) we get,
k(x) = 2x+ 7
Substitute x =3 in k(x) we get,
k(3) = 2(3) +7
⇒ k(3) = 13
Now, Substitute the value of k(3) in the composite function h(k(3)) we get,
h(k(3))
= h(13)
= √ 13 +3
=√16
= 4
Therefore, the value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
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R = ((-4,2), (3,6), (x,8), (-1,4))
Which value of r would make this relation a function?
Answers
Answer:
0
Step-by-step explanation:
the domain can’t be the same
8x^{3}+26x^{2}+19x+38x
3
+26x
2
+19x+3 is divided by 4x+34x+3.
Answers
Applying synthetic division, the quotient between 8x³ + 26x² + 19x + 3 by 4x + 3 is:
2x² + 5x + 1.
Synthetic division algorithmIn the synthetic division algorithm, the coefficients of a polynomial are each divided by a value.This divisor is the zero of the divided polynomial, which goes into the far left box.In this context of this problem, the coefficients of the polynomial 8x³ + 26x² + 19x + 3 are given as follows:
8, 26, 19 and 3.
The divisor is found as follows:
4x + 3 = 0
4x = -3
x = -3/4
x = -0.75.
The resulting coefficients of the quotient are given as follows:
8, 20, 4 and remainder of 0.
Hence the quotient is:
8x² + 20x + 4.
Which can be simplified as:
2x² + 5x + 1.
The first coefficient of the polynomial, of 8, was moved down, the multiplied by -0.75 and added to 26, resulting in 20. Then the same procedure was done with 20(multiplied with -0.75 and added with the next coefficient of 19), until the last coefficient of 3.
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Miyako is building a raised garden bed the garden is a right rectangular prism with the dimensions shown how many cubic feet of soil does miyako need to fill the garden bed
Answers
Answer:
Step-by-step explanation 10:
what is the answer to 2x - 15
A.-10
B.9
C.8
D.12
Answers
Possible answers to the expression 2x - 15 are given as follows:
-10 if 2x - 15 = -35.9 if 2x - 15 = 3.8 if 2x - 15 = 1.12 is 2x - 15 = 9.How to solve an expression?An expression is solved isolating the variable of which we want to find the value.
In this problem, the expression is given as follows:
2x - 15 = c.
In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.
With c = -35, we have that the solution is found as follows:
2x - 15 = -35
2x = -20 (-35 + 15)
x = -20/2
x = -10.
Now, if c = 3, the solution is calculated as follows:
2x - 15 = 3
2x = 18
x = 18/2
x = 9.
In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.
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pls answer the question i need it to day 20 points
Answers
Answer:
Step-by-step explanation:
See attached worksheet
Use the following data set to answer the question below.8 12 15 910121218 141510 11 12 9 17What is the mode for the data set?
Answers
12
1) Considering this Data Set:
8 12 15 9 10 12 12 18 14 15 10 11 12 9 17
2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:
[tex]12[/tex]Note that this is the data point that repeats itself the most.
Question 1
Order from smallest to largest by selecting the dropdown beside each option. Mark the smallest with number 1.
• Number of pennies in a stack that is 1 ft high [Select]
• Number of books in a stack that is 1 ft high [Select]
• Number of dollar bills in a stack that is 1 ft high [Select]
• Number of slices of bread in a stack that is 1 ft high [Select]
.
Question 2
Answers
The order from smallest to largest is a book, bread, penny, bills
In decreasing size, they are a book, a loaf of bread, a penny, and a bill.
The following details must be taken into account;
The least number of books was thought to be necessary to reach one foot, followed by bread and then pennies.Finally, there should be bills.We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.
Hence, The order from smallest to largest is a book, bread, penny, bills.
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3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9
Answers
6, 7, 1 | 6 7
4, 5, 9 | 4 5
Use the diagonal rule:
-2×7×9+3×1×4+8×6×5-(4×7×8+5×1×-2+9×6×3)
=-250
In the figure below, XY = 15 and YZ = 17. Find XZ
Answers
The value of XZ is 32.
What is the value of XZ?
Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.
From the figure, XY = 15 and YZ = 17
XZ is the sum of XY and YZ:
XZ = XY + YZ
XZ = 15 + 17 = 32
Therefore, XZ is 32.
This shows the concept of trigonometry.
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-4x = -60 on a graph
Answers
The graph of the equation -4x = -60 is shown below.
How to Graph the Equation of a vertical Line?A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.
Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.
Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:
-4x/-4 = -60/-4 [division property of equality]
x = 15
This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.
the graph is shown below.
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Find −2⋅[g(−2)].
Select one:
a. 8
b. -40
c. 20
d. -16
pls help <3
Answers
the correct answer is a so write it
Can someone please help
Answers
8. The equation below is the standard form of a linear equation. += ax+by=c Which of the following is an equivalent equation? A. =−+ y=−abx+cb B. =+ C. =+ y=bax+bc D. =−+
Answers
Answer:
A
Step-by-step explanation:
ax + by = c Subtract ax from both sides
by = -ax + c Divide all the way through by b
[tex]\frac{by}{b}[/tex] = [tex]\frac{-a}{b}[/tex] x + [tex]\frac{c}{b}[/tex]
y = - [tex]\frac{a}{b}[/tex] x +[tex]\frac{c}{b}[/tex]