The relative minimum's coordinates are (1, -5).
How can you determine a function's relative minimum?The first derivative test can be used to determine if a continuous function's critical point is a relative minimum or maximum. Simply put, the first derivative is a relative minimum if it is negative to the left of the critical point and positive to the right of it.
The parabola's equation takes the following form because its vertex is at (1, -5).
y = a(x - 1)² - 5
where "a" is a constant that determines the shape of the parabola. Since the parabola crosses the y-axis at (0, -3), we can substitute these coordinates into the equation and solve for "a" as follows:
-3 = a(0 - 1)² - 5
-3 = a - 5
a = 2
Thus, the equation of the parabola is:
y = 2(x - 1)² - 5
The x-coordinate of the vertex is given by x = 1
find the corresponding y-coordinate by substituting x = 1 into the equation:
y = 2(1 - 1)²- 5 = -5
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Sheldon wants to buy two shirts at the store.
They were each originally $14.99, but one of the shirts is on sale this week for 10% off.
A 6% sales tax is applied to the total cost of the shirts.
Sheldon writes an equation to calculate the total cost, n, of his purchase.
0.90 • 14.99 + 14.99 • 1.06 = n
Which statement describes Sheldon’s equation?
Responses
His equation correctly represents the total cost of his order.
According to his equation, the discount will be applied to both shirts.
According to his equation, sales tax will only be added to one shirt.
He should have multiplied the cost of the shirts by 0.0 to calculate tax.
His equation correctly represents the total cost of his order is the statement describes Sheldon’s equation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Sheldon wants to buy two shirts at the store.
They were each originally $14.99, but one of the shirts is on sale this week for 10% off.
A 6% sales tax is applied to the total cost of the shirts.
0.90 • 14.99 + 14.99 • 1.06 = n
The first term in the equation, 0.90 • 14.99, represents the cost of the shirt that is on sale.
The 10% discount is applied to the original price of $14.99, which is why we multiply by 0.90.
This term calculates the discounted price of the first shirt.
The second term in the equation, 14.99 • 1.06, represents the cost of the second shirt, plus the 6% sales tax that is applied to both shirts.
This term calculates the total cost of the second shirt with sales tax.
Hence, His equation correctly represents the total cost of his order is the statement describes Sheldon’s equation
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Complete the sentence below.
325 is a hundred times bigger than
Answer:3.25
Step-by-step explanation:
Divide 325/100=3.25
9,100 dollars is placed in a savings account with an annual interest rate of 5%. If no money is added or removed from the account, which equation represents how much will be in the account after 6 years?
1.) M=9,100(1 + 0.05)^6
2.)M=9,100(1 - 0.05)^6
3.)M=9,100(1 + 0.05)(1 + 0.05)(1 + 0.05)
4.)M=9,100(0.95)^6
Answer:
1.) M=9,100(1 + 0.05)^6
Step-by-step explanation:
Compound Interest Rate Formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
In this formula the "P" represents the principle amount, or the original amount. The "r" represents the interest rate in decimal form, while the "n" represents the number of compounds in the time unit (usually years), and the "t" represents the amount of time that has passed (usually years)
In this case it says annual interest rate of 5% and nothing of compound monthly, etc... so n=1, and r=0.05. We're also given the principle amount of 9,100 and the time passed is just 6 years, so t=6. Plugging all this information into the equation we get:
[tex]A=9,100(1+0.05)^6[/tex]
which makes the first option correct.
Tamaya borrowed $8,500 to buy a car. After 42 months, she ended up paying $1,785 in interest on the car loan. What was the simple interest rate on Tamaya’s car loan?
Answer:
5%
Step-by-step explanation:
We can use the formula for simple interest to solve for the interest rate:
I = Prt
where:
I is the interest
P is the principal (the amount borrowed)
r is the interest rate
t is the time in years
We know the principal (P) is $8,500, the interest (I) is $1,785, and the time (t) is 42 months, or 42/12 = 3.5 years. So, we can plug in the values and solve for r:
I = Prt
$1,785 = $8,500 * r * 3.5
$1,785 / $8,500 / 3.5 = r
r = 0.05, or 5%
So, the simple interest rate on Tamaya's car loan was 5%.
Whats the correct answer answer asap for brainlist
Answer:
this is not belongs to mathematics
Step-by-step explanation:
Which of the following statements is true?
For a large enough sample size, the Central Limit Theorem states that the sample medians of repeated samples of a population are normally distributed.
For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite.
For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed.
Even with a very large sample size, the Central Limit Theorem states that the sample means of repeated samples of a population cannot be normally distributed.
The option that is true for the central limit theorem is;
C: For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed
Let us look at all the given options to access which one clearly is correct about the central limit theorem;
a) This option is incorrect because the CLT theorem is based on ‘sample mean’ distribution.
b) This option is Incorrect because the theorem is true for any population distribution.
c) This option is correct because Irrespective of the population distribution, the sample means of repeated samples are normally distributed for larger n.
d) The “central limit theorem(CLT)” states that, the sample means of the repeated samples follows normal distribution for ‘large’ sample sizes. Thus, this option is incorrect.
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Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant.
f is increasing on (-infty, -4) and (2,infty) since that's where you'd be walking uphill.
f is never decreasing.
f is constant on (-4,2), since that's where it's completely flat.
PLEASEEE HELP —-> Step 1: Construct a circle through three points not on a line.
a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by
drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and
name the point of intersection of the perpendicular bisectors O. How do you know that point O
is the center of the circle that passes through the three points? (10 points)
Answer:
Step-by-step explanation:
To show that point O is the center of the circle that passes through points D, E, and F, we can use the property of perpendicular bisectors. The perpendicular bisectors of two chords of a circle bisect the chord and pass through the center of the circle. Since the perpendicular bisectors of DE and EF intersect at point O, it follows that O must be the center of the circle that passes through points D, E, and F.
This property can also be proven using the Pythagorean theorem. Let the radius of the circle be r and let the midpoints of DE and EF be M1 and M2, respectively. Then, OM1 = OM2 = r, and the distance between M1 and M2 is equal to the distance between D and F. By the Pythagorean theorem, the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse, so we have:
OM1^2 + (M1M2)^2 = r^2 + r^2 = 2r^2
Since OM1^2 + (M1M2)^2 is equal to 2r^2, it follows that the distance between M1 and M2 is equal to the diameter of the circle. This means that M1 and M2 are the midpoints of the diameter of the circle, so they must both lie on the circumference of the circle. This, in turn, means that O is the center of the circle that passes through points D, E, and F.
another way to find 4x2x5
Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
What is multiplication?Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".
Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,
So,
4x2x5 = 40
So, in another method,
Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,
8x5 = 40
Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
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The question is incomplete solved for:
Find the another method to solve 4x2x5
Jean bought a $1,980 snow thrower on an installment plan. The installment agreement included a 10% down payment and 18 monthly payments of $116 each.
Jean purchased a snow thrower for $1,980 using an installment plan that required a 10% down payment of $198 and 18 monthly payments of $116. This allowed Jean to spread out the cost of the snow thrower over time, avoiding a large upfront cost.
Jean recently purchased a snow thrower for $1,980 using an installment plan. To start, Jean had to make a down payment of 10% of the total purchase price, which was $198. This down payment allowed Jean to spread the remaining cost of the snow thrower across 18 monthly payments of $116 each. After making all 18 payments, Jean will have paid the full purchase price of $1,980. This installment plan option is an excellent way for Jean to get the snow thrower he needs while avoiding a large upfront cost and spreading the payments out over a period of time. With this installment plan, Jean can pay off the purchase of the snow thrower while still having money left over each month to cover other expenses.
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When she subtracts 4 from both sides, 1/2x = -1/2x
results. What is the value of x?
Answer: 0
Step-by-step explanation:
1/2x = -1/2x cannot be true for any other value of x except when x equals 0. In other words, we need the left and right sides to equal each other, but that would only happen when x=0.
3. What is the volume of this complex figure?
3 m
4 m
6 m
4 m
7m
The volume of the given complex structure would be = 56 m³
How to calculate the volume of the given structure?The structure is made up of the big and small cubes.
The volume of the big cube = length × breadth × width = 7 × 3 × 4 = 84 m³
The volume of the small cube cut out = length * breadth * width = 4 × 7 × (4 - 3) = 28 m³
Volume of the complex figure = 84 m³ - 28 m³ = 56 m³
The volume of the complex figure shown in the diagram is 56 m³.
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What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.
The position of G in the given line segment is at point 1, which is between points F and D and the line segment between F and D in the ratio 8:5.
What is meant by line segment?
Two unique points on a line define the boundaries of a line segment. A line segment is a section of the path a line takes to join two locations. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given, the locations of D and F on the line segment.
D = -4
F = 9
Number of units between F and D = 9 - (-4) = 13
Point G partitions the line segment from F to D in the ratio 8:5.
So distance of G from F = [8/(8+5)] * 13 = 8
Distance of G from D = [5/(8+5)] * 13 = 5
So from F, it is 8 units behind F = 9 - 8 = 1
from D, it is 5 units in front of D = -4 + 5 = 1
Therefore the position of G in the given line segment is at point 1.
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using addition and subtraction signs make 1 2 3 4 5 6 7 8 9 equal 30
The numbers can be arranged as follows
(1 - 1) + 2 - (3 + 4) + (5 + 6 + 7 + 8 + 9) = 30 How to solve the math questionThe math question is solved using the idea of PEMDAS which is an acronym for order of arrangement of mathematical operations as
the full meaning include
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Applying the sequence the to make the expression 1 2 3 4 5 6 7 8 9 equal to 30 using addition and subtraction signs:
(1 - 1) + 2 - (3 + 4) + (5 + 6 + 7 + 8 + 9) = 30
You can use parentheses to group the numbers and then add or subtract the groups to get the desired result.
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The length of a rectangle is 6 feet less than 4 times the width. If the perimeter is 68 feet, find the length and the width of the rectangle.
Answer:
Length = 26 feet; Width = 8 feet
Step-by-step explanation:
Let:
x = Length of rectangle
y = Width of rectangle
4 times the width = 4y
∴ 6 less than 4 times the width = 4y - 6
Perimeter of a rectangle = 2 × [Length + Width]
68 = 2 × [(4y - 6) + y]
Expand the brackets or parenthesis by applying the Distributive Law and bring the like terms together:
68 = 2 × [4y - 6 + y]
68 = 2 × [5y - 6]
68 = 10y - 12
68 + 12 = 10y
Isolate y by making it the subject of the equation:
80 = 10y
y = [tex]\frac{80}{10}[/tex]
y = Width of rectangle: 8 feet
Substitute y into the equation to calculate x:
x = 4(8) - 6
x = Length of rectangle = [tex](32 - 6)[/tex] feet
x = 26 feet
Which of the following shows a correct method to calculate the surface area of the cylinder?
cylinder with diameter labeled 2.6 feet and height labeled 4.4 feet
SA = 2π(2.6)2 + 2.6π(4.4) square feet
SA = 2π(2.6)2 + 1.3π(4.4) square feet
SA = 2π(1.3)2 + 1.3π(4.4) square feet
SA = 2π(1.3)2 + 2.6π(4.4) square feet
Option D is correct, SA = 2π(1.3)2 + 2.6π(4.4) square feet is used calculate the surface area of the cylinder.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that cylinder with diameter labeled 2.6 feet and height labeled 4.4 feet
The surface area of cylinder is given by the formula =2πrh+2πr²
The radius is Diameter/2
2.6/2=1.3
The radius is 1.3
Surface area =2π(1.3)(4.4)+2π(1.3)²
So =2.6π(4.4)+2π(1.3)²
Hence, Option D is correct, SA = 2π(1.3)² + 2.6π(4.4) square feet is used calculate the surface area of the cylinder.
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Answer:
Step-by-step explanation:
A support hotline asks callers to stay on the line after they have completed their call to respond
to a short survey.
Write an equation in slope-intercept form for the line with slope -3/4 and y- intercept of 1.
The equation of the line will be y = -3/4x + 1.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The slope of the line is -3/4 and the y-intercept is 1. The equation of the line can be written as:-
y = mx + c
y = -3/4x + 1
Therefore, the line will have the equation y = -3/4x + 1.
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In isosc tri(ABC),AC=BC,AB=6 in., line segment cd is parrelel to line segment ab, and CD= sqrt(3) in find the perimeter of the isosc triangle
On solving the provided question we can say that median from the vertex in an isosceles triangle is perpendicular to the base.
What is triangle?ƒ(x)=sin(x)
consider Asin(Bx + C) = y +D changes the amplitude of the function (how high or low it is).
if you want to
Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.
Let O be the circle's centre and P be the midpoint of BC. After that, OP LBC.
Let AP =x and PB = CP -y.
Applying Pythagoras theorem in As AP B and OP B, we have
AB2 = BP2 + AP2 and OB2 = OP2 +BP2
Y2 +x2 ... (i) and, 81 = (9 —x)2 + Y2
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Jim vende perritos calientes a $2.95 cada uno y sándwiches de bistec a $9.95 cada uno en su carrito de comida. Durante un ajetreado festival al aire libre, vendió un total de 985 artículos por $7343,75. ¿Cuántos sándwiches de bistec vendió?
De acuerdo con la información, se puede inferir que Jim vendió 634 sándwiches de bistec y 351 perritos calientes.
¿Cómo identificar cuántos perros y sándwiches vendió Jim?Para identificar cuántos perros y sandwiches vendió Jim durante la feria debemos comprobar con diferentes números hasta encontrar el número correcto. En este caso, debemos multiplicar el valor de cada producto por un número específico e ir ajustado los valores hasta obtener el número total de productos.
En este caso, la cantidad de sándwiches vendidos por Jim sería 634 y perritos 351.
351 * 2.95 = 1,035.45634 * 9.95 = 6,308,36,308.3 + 1,035.45 = $7343,75Aprenda más sobre comidas en: https://brainly.com/question/7729754
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Please help. I'll give brainliest.
351 and 1053 are the next terms of geometric sequence 13, -39, 117...
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given series is 13, -39, 117..
We need to find the fourth and fifth terms of the sequence.
The given sequence is geometric sequence.
Geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The general term of sequence [tex]a_{n} =ar^{n-1}[/tex]
r is the common ratio
r=-39/13
=-3
a=13 first term
a₄=13(-3)³
a₄=13(-27)
Fourth term is 351.
Now plug in n as 5 to find 5th term.
a₅=13(-3)⁴
a₅=1053
Hence, the next two terms of geometric sequence are 351 and 1053.
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A right square pyramid has an altitude of 10 and each side of the base is 6. To the nearest tenth of a centimeter, what is the distance from the apex, or top of the pyramid, to each vertex of base?
The distance from the apex, or top of the pyramid, to each vertex of base is 10.9.
What is a right rectangular pyramid?A right rectangular pyramid is a pyramid, with four slant sides, and a rectangular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
Given that;
Altitude of pyramid= 10
Each side base of pyramid= 6
Now,
So using pythagorean theorem,
x2=y2+(10)2....1
with y half of the length of the diagonal of the base.
2y=length of the diagnol
and (2y)2 = 72
4y2=72
y = 3√2.
So substitute y in eq1 and get x
( 3√2)2+(10)2=(x)2
(x)2=118
x=10.86.
x≈10.9
Therefore, the side of right square pyramid will be 10.9.
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Need help with this maths vector question
Answer:
Step-by-step explanation:
(a) We can find the position vectors of the points L, M, and N by taking the average of the position vectors of the points they lie between.
The midpoint of AB is given by:
N = (A + B)/2 = (41 + (41 + 21))/2 = (41 + 62)/2 = 51.5i
The midpoint of AD is given by:
L = (A + D)/2 = (41 + 6k)/2 = 23i + 3k
The midpoint of BD is given by:
M = (B + D)/2 = (41 + 21 + 6k)/2 = 31i + 3.5k
Now, we can find the vector MN by subtracting the position vectors of M and N:
MN = M - N = (31i + 3.5k) - (51.5i) = -20.5i + 3.5k
The angle between the directions of MN and OB can be found using the dot product:
cos(θ) = (MN . OB) / (|MN| * |OB|)
where θ is the angle between the two vectors. We can find the dot product and the magnitudes of the vectors as follows:
MN . OB = -20.5i + 3.5k . 41i + 21j = -20.5 * 41 + 3.5 * 21 = -847.5
|MN| = √((-20.5)^2 + (3.5)^2) = 21
|OB| = √(41^2 + 21^2) = √(1764) = 42
Substituting these values into the formula for cos(θ), we get:
cos(θ) = (-847.5) / (21 * 42) = -0.5
The angle θ can be found from the cosine inverse:
θ = cos^-1(-0.5) = 120 degrees
So, the angle between the directions of MN and OB is 120 degrees.
(b) To find the value of p, we can use the intersection of the lines through P and B and the lines through C and L. Let's call the intersection point R.
The line through P and B can be represented as P + t(B - P) = R
where t is a scalar and R is the position vector of the intersection point. Similarly, the line through C and L can be represented as:
C + s(L - C) = R
where s is a scalar. Setting these two expressions equal to each other, we get:
P + t(B - P) = C + s(L - C)
Expanding and simplifying, we get:
P + t(41i + 21j + 6k) = 21i + 6s(23i + 3k)
Comparing the i, j, and k components, we get:
P + 41t = 21 + 6s * 23
t = (21 - P)/41
6s = (P - 21)/23
s = (P - 21)/138
Substituting s back into the equation for C + s(L - C), we get:
C + (P - 21)/138 * (L - C) = R
21i + 6k + (P - 21)/138 * (23i + 3k - 6k) = R
Expanding, we get:
21i + 6k + (23/138) * Pi + (3/138) * k = R
Comparing the i and k components, we get:
21 + (23/138) * P = Ri
6 + (3/138) * P = Rk
Solving for P, we get:
P = 138 * (Ri - 21)/23 = 138 * (Rk - 6)/3
So the value of p for which the line through P and B intersects the line through C and L is given by the above formula.
a positive angle less than 360 degrees that is coterminal with -305 is
The positive angle which is less than 360 degrees and is co-terminal with -305 as required is; 55°.
What is the positive angle co-terminal with -305°?It follows from the task content that the position angle which is co-terminal with -305° as required is to be determined.
Let the positive angle in discuss be; x.
Therefore, the angle x = 360 + (-305)
Consequently, it can be calculated as follows;
x = 360 - 305.
x = 55°
Hence, the required value of the positive co-terminal angle is; 55°.
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Need help I’m stuck on this question
Answer:
range = 33
Step-by-step explanation:
the range of a data set is the difference between the largest and smallest values in the set.
largest value = 163 and smallest value = 130 ( from diagram ), then
range = 163 - 130 = 33
At Hometown Hospital, the cancer registrar recorded the age (at the time of initial diagnosis) of patients diagnosed with lung cancer. A total of 68 cases were recorded. The ages are ranked from oldest to youngest. 91 86 83 82 81 80 80 79 78 77 76 75 75 74 74 73 73 72 72 72 71 71 70 70 70 70 69 69 68 68 67 67 67 66 66 66 66 66 65 65 65 64 64 63 63 62 62 61 61 61 60 60 59 59 59 58 58 57 57 57 56 56 55 54 53 53 52 51 Complete the frequency distribution table with the following data: All score limit ranges Frequency Cumulative frequency Relative frequency [round to two decimal places] Frequency percentage [should be a whole percentage without decimals]
On solving the provided question, we can say that Frequency Percentage is equal to the relative frequency times one hundred.
what is frequency distribution?In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9.
25–29 is listed as the First Class Group.
Class size is 4 (29-25).
Maintain the same class size for reminders from 89 through 93.
Count the values and record the frequency next to the appropriate class.
Midpoint equals (higher class limit plus lower class limit) / 2.
Relative Frequency is equal to Frequency/total Values.
Cumulative Frequency equals the sum of the past and current frequencies.
Frequency Percentage is equal to the relative frequency times one hundred.
Class Recurrence Point Midway Frequency relative Frequency Added Up percentage of frequency 25-29 0 27 0 0 0.00% 1.25% 1 31 0.0125
%ile Rank for 48 = 12.5
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3
Select the correct answer.
Exponential function fis represented by the table.
X -1 0 1 2 3 4
f(x) 80 26 8 2 0 -2/3
Function g is an exponential function passing through the points (0,7) and (3,0).
Which statement correctly compares the two functions on the interval (0, 3)?
A) Both functions are positive and increasing on the interval.
B) Both functions are positive and decreasing on the interval.
C) Both functions are positive on the interval, but one function is increasing while the other is decreasing.
D) One function is positive on the interval, while the other is negative.
Option A: Both functions are positive and decreasing on the interval.
How to determine the function?The table shows that f(x) decreases when x increases in the interval (0,7) and (0, 3)
All the values of f(x) are positive in the interval (0,3).
For the exponential function that passes through the points (0, 27) and (3, 0), we also see that f(x) is decreasing when x increases: when x goes from 0 to 3, f(x) goes from 27 to 0.
Also all the values of f(x) are positive in the interval.
Then, both functions are positive and decreasing in the interval.
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Assessment Items
Question
A researcher found that for the years 2013 to 2019, the equation, y=-0.4(2-3)² + 42,
models the average gas mileage of new vehicles sold in Switzerland, where z is the
number of years since 2013 and y is the average gas mileage, in miles per gallon (mpg).
During what year was the average gas mileage for new vehicles sold in Switzerland the
greatest?
2016 is the year in which the average gas mileage is the greatest.
What is an equation?An equation contains one or more variables connected by an equal sign.
Example:
1x + 2 = 99 is an equation.
We have,
y = -0.4 (x - 3)² + 42
where x = the number of years since 2013.
y = average gas mileage
Now,
In 2016,
x = 3
y = -0.4 (3 - 3)² + 42
y = 0 + 42
y = 42
This is the greatest value for any x value.
Thus,
In 2016, the average gas mileage for new vehicles sold is the greatest.
Learn more about equations here:
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I need help answering this
Answer: god
Step-by-step explanation: god god god god god god god god
What is the total surface area of the rectangular prism?
Answer:a rectangular prism has height 4m, length 6m & width 5m
thus the surface consist of two 4*6 vertical surfaces
two 4*5 vertical surfaces
& two 6*5 top & bottom surfaces
that is
2(4*6) = 48
2(4*5) = 40
2(6*5) = 60
total surface area = 48+40+60 = 148m²
Step-by-step explanation:
