Consider the function given by the graph. What are these values?
f(–2 ) =
f(0) =
f(4) =
Answers
The values of the function f(x) for the given graph are approximately -7, -18, and -29.
Explanation:The values of the function f(x) for the given graph can be found by looking at the corresponding points on the graph.
For f(-2), we look at the point on the graph where x = -2. From the graph, we can see that f(-2) is approximately -7.
Similarly, for f(0), we look at the point on the graph where x = 0. From the graph, we can see that f(0) is approximately -18.
For f(4), we look at the point on the graph where x = 4. From the graph, we can see that f(4) is approximately -29.
f(-2) = -1
- f(0) = 3
- f(4) = 0
The values of the function at different points on the graph can be found by looking at the corresponding coordinates on the graph.
To find f(-2), we look for the point on the graph where x = -2. From the graph, it appears that the y-coordinate of this point is -1. Therefore, f(-2) = -1.
To find f(0), we look for the point on the graph where x = 0. From the graph, it appears that the y-coordinate of this point is 3. Therefore, f(0) = 3.
To find f(4), we look for the point on the graph where x = 4. From the graph, it appears that the y-coordinate of this point is 0. Therefore, f(4) = 0.
It is important to note that the given information about the arrows and points (0,3) to (-6,0) and (0,1) to (6,-2) is unrelated to finding the values of the function at the given points. These arrows and points might represent something else in the context of the graph, but they do not affect the calculations of f(-2), f(0), and f(4).
Related Questions
Which symbol creates a true sentence when x equals 6? 42 + (x – 3)2 __ 28
Answers
Thank you very much for your help!
Answers
[tex]x^2+y^2=25[/tex]
For b.
[tex](x-4)^2+(y-3)^2=25[/tex]
For c.
[tex](x-5)^2+(y-4)^2=9[/tex]
Hope that helps
I need help learning how to do these problems some how whenever I do them I always get it wrong please help I have a test Wednesday!
Answers
After that, we have -4x+5y=6 and -6x-12y=-14. You can multiply the second equation by -2/3 and add on to get -3y=(-28/3)+6 and y=-((-28/3)+6)/3. Solve from there by plugging it in for variables as shown, then with z after x. The next two are similar, but feel free to ask if you have any issues with those!
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23/fts. The ball's height h (in feet) after t seconds is given by the following.
h=7+23t-16t^2
Find all values of t for which the ball's height is 15 feet.
Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)
Answers
You get the quadratic equation: [tex]-16t^2+23t-8[/tex]
You can solve it with the quadratic equation: [tex] \frac{-b+ \sqrt{b^2-4ac}}{2a} and \frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]
From here you solve and get the given numbers as your answers!
As per quadratic equation, all values of 't' for which the ball's height is 15 feet are 33.25 and (- 31.813).
What is a quadratic equation?"Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x)."
Given, [tex]h = 15[/tex] feet.
Therefore, the quadratic equation for [tex]h = 15[/tex] will be:
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23 feet per second.
The ball's height h (in feet) after t seconds is:
[tex]h = 7+23t-16t^{2}[/tex]
[tex]15 = 7+23t-16t^{2}[/tex]
⇒ [tex]15-7-23t+16t^{2} = 0[/tex]
⇒ [tex]16t^{2} -23t - 8 = 0[/tex]
⇒ [tex]t = [- (-23)[/tex] ± [tex]\sqrt{(23)^{2} - 4(16)(- 8)}[/tex] ]/(2 × 16)
⇒ [tex]t =[/tex] [23 ± 1041]/32
⇒ [tex]t =[/tex] [23 + 1041]/32, [23 - 1041]/32
⇒ [tex]t =[/tex] 33.25, - 31.813
Learn more about a quadratic equation here: https://brainly.com/question/2263981
#SPJ2
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
Answers
[tex] \cfrac{AU}{AB} =\cfrac{UV}{BC} \\ \\ \cfrac{20x+108}{20x+381} =\cfrac{444}{703} \\ \\ 703(20x+108)=444(20x+381)\\\\14060x+75924=8880x+169164 \\ \\ 14060x-8880x = 169164 - 75924 \\ \\ 5180x = 93240 \\ \\ x=93240/5180 \\ \\ x=18[/tex]
What's the slope of the line that passes through (2,14) and (-1,-1)?
Answers
PLEASE HELP
graph and completely describe the function f (x)= 4^x
I already graphed this on desmos
Answers
Basically, whenever you have a function where there's an "x" as your exponent (f(x) = b^x), we'll categorize them as "exponential functions".
Exponential functions modify your graph in two different ways, they can either make it increase exponentially or decrease exponentially.
If you see that your graph is gradually increasing across the x-axis, then you can say that the function is making your graph exponentially increase by a factor of "4".
Find the value of two numbers if their sum is 12 and the difference is 4
Answers
x+y=12
x-y=4
x=y-4
y-4+y=12
2y-4=12
2y=16
y=8
x=8-4=8
8+4=12
the 2 numbers are 8 & 4
A photo that is 3 inches wide by 5 inches long is being enlarged so that it is 12 inches long. How wide will the enlarged photo be
Answers
12/5 = 2.4 times larger
3 x 2.4 = 7.2 inches wide
There are 10 runners in race. in how many ways can the first, second and third place finishes occur
Answers
10*9*8 = 720 ways
What is the geometric mean of 21 and 54?
Answers
We are given two numbers: 21 and 54.
Their product is 21*54 = 1134
Because we have two numbers, their geometric mean is
√(1134) = 33.675
Answer: 33.675
can someone please help?
Answers
(x-1)(5x² - 7)
Answer is C.
The number of hours (H) that a candle will burn increases when the length of the candle (L) increases. Write the correct equation for this scenario, and solve for the number of hours when the length is 2. Length Hours 15 3 20 4
Answers
[tex]\bf \textit{H increases as L increases}\implies H=kL \\\\\\ \textit{from the table above, we also know that } \begin{cases} L=15\\ H=3 \end{cases} \\\\\\ 3=k15\implies \cfrac{3}{15}=k\implies \cfrac{1}{5}=k\quad thus\quad \boxed{H=\cfrac{1}{5}L} \\\\\\ \textit{now, what is H when L = 2}\qquad H=\cfrac{1}{5}\implies \cdot 2[/tex]
Answer:
H = .2L; H = .4
Step-by-step explanation:
Which expression is equivalent to (2x^4y)^3
Answers
The equivalent expression to the given expression is [tex]8x^12y^3[/tex].
We have given that,
The expression (2x^4y)^3
We have to determine the,
Which expression is equivalent to (2x^4y)^3
What is the equivalent expression?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
The answer is D.
2^3 is 8.
(x^4)^3 is x^12 and y^3 is simply y^3.
Put them together to get the final answer.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
Which of the following statements are true for the graph shown below
Answers
The statement that is true for the graph of function shown below is option (B) both graphs have exactly one asymptote is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The diagram shows the graph that has 2 functions f(x) and g(x).
The function f(x) is increasing function and the function g(x) is decreasing function.
An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
Here the two functions f(x) and g(x) approaches zero at asymptote of 1.
Hence we can conclude that the statement that is true for the graph of function shown below is option (B) both graphs have exactly one asymptote is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ2
The length l of a rectangle is 4 inches greater than its width w. The area of the rectangle is 252 square inches.Using the method of completing the square, what are the length and width of the rectangle? Show your work.
Answers
lw=252, using l from above
(w+4)w=252
w^2+4w=252, now halve the linear coefficient, square it, then add that to both sides, ie (4/2)^2=4
w^2+4w+4=256
(w+2)^2=256
w+2=±16
w=-2±16
w=14 or 18, but since w<l
w=14in and l=18in
I need some more help plz
Answers
So this is why the answer is choice A
Which of the following are the coordinates of the vertex of y=3x^2+3?
Answers
The image shown has two triangles sharing a vertex:
What is the measure of ∠WZX, and why?
A. y over 2, because Triangle UVW is congruent to triangle WXZ
B. y, because Triangle UVW is similar to triangle ZXW
C. y + 50 degrees, because Triangle UVW is similar to triangle ZXW
D. 130 degrees − y, because Triangle UVW is congruent to triangle WXZ
Answers
The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.
What is vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
We can see that Angles UVW ad ZXW are congruent,
Then because of the vertical angle theorem; angles UWV and XWZ are congruent.
So if there are 2 angles in each triangle which are congruent to each other, then the triangle angle sum theorem state that the third angle also has to be congruent in each.
BUT congruent angles do not make the triangles congruent due to the length of the sides can change and the measures of the angles remain unchanged.
Hence, The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.
Learn more about vertically opposite angles;
https://brainly.com/question/18045519
#SPJ5
The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student.
School High School M High School N High School P
Low - 128 131 140
High - 180 180 180
Range- 52 49 40
Mean- 141 159 153
Median- 160 154 165
IQR- 55.5 48.5 32.5
σ- 41.5 36.5 31.5
Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points) Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically. (5 points)
Answers
So, the answer to A) is the third High School: HS P
B) Here one looks at the central measurement: mean, median. This example is not super easy. HS N has the highest mean value, but HS P has the highest median. The median is more robust than the mean, since it is less affected by outliers. So HS P is a good candidate.
Finally, looking at the Low/High values, one can see that the high is the same: some day(s) when all students went and all HS have a maximum number of 180 students. However, the highest low is HS P.
So, I think HS P should also be awarded for the highest rate, since its median
is the highest and the lower number of students is the highest.
Median means 50% of the cases have values less than the median. Mean is an average.
PLEASE HELP ASAP ILL GIVE BRAINLIEST IF YOURE RIGHT!!
Find the greatest possible error for each measurement.
9 g
a.
1/2 g
b.
1/4 g
c.
1/6 g
d.
1/8 g
Answers
gpe = 1/2 of the unit measures
since 9 is a whole number the gpe would be 1/2 g
If the length of side a is 6 centimeters, the length of side b is 4 centimeters, and the length of side c is 7 centimeters, what is the measure of ? Round your answer to two decimal places.
Answers
Answer:
34.77
Step-by-step explanation:
The area of a triangle with sides of length 6 cm, 4 cm, and 7 cm is approximately 11.95 cm² when calculated using Heron's formula and rounded to two decimal places.
The original question appears to be incomplete as there's no clear indication of which measure is being sought for the triangle with sides of length 6 cm, 4 cm, and 7 cm. However, if the goal is to use these sides to determine the area of a triangle, we can use Heron's formula, since the lengths given do not form a right triangle.
First, calculate the semiperimeter (s):
(s) = (a + b + c) / 2
(s) = (6 + 4 + 7) / 2
(s) = 17 / 2
(s) = 8.5 cm
Now, apply Heron's formula which is Area [tex](A) = \sqrt{[ (s)((s)-a)((s)-b)((s)-c) ][/tex]:
[tex]A = \sqrt{[8.5(8.5-6)(8.5-4)(8.5-7)]}\\A = \sqrt{[8.5(2.5)(4.5)(1.5)]}\\A = \sqrt{[8.5 \times 2.5 \times 4.5 \times 1.5]}\\A \approx 11.95 cm^2 after\ calculating\ the\ square\ root[/tex]
Thus the area of the triangle is approximately [tex]11.95 cm^2[/tex] (rounded to two decimal places). Note that the question's original instructions to round to two significant figures would result in an answer of [tex]12 cm^2[/tex].
Mike wants to make meatloaf. His recipe uses a total of 6 pounds of meat. If he uses a 3 to 1 ratio of beef to pork how much pork will he use? Enter your answer as a mixed number in simplest terms
Answers
5/4 = 1.25
3 * 1.25 = 3.75 of beef
1 * 1 .25 = 1.25 pounds of pork
Mike will use 1 1/2 pounds of pork for his meatloaf recipe, which calls for a 3 to 1 ratio of beef to pork and a total of 6 pounds of meat.
Mike's meatloaf recipe has a total of 6 pounds of meat and uses a 3 to 1 ratio of beef to pork. To find out how much pork he will use, we can express the total amount of meat as the sum of beef and pork parts.
First, we know that there are 3 + 1 = 4 parts in total because of the given ratio. Since the ratio is 3 to 1, for every 4 parts of meat, 1 part is pork. Therefore, we calculate the weight of each part by dividing the total weight by the number of parts:
6 pounds ÷ 4 parts = 1.5 pounds per part
Since one part is pork, Mike will use 1.5 pounds of pork for his meatloaf. Expressed as a mixed number, that's 1 1/2 pounds of pork in simplest terms.
Find the radius of a circle with an area of 615.75 sq kilometers?
Answers
area = pi x r^2
615.75 = 3.14 x r^2
r^2 = 615.75/3.14 =196.0987 round to 196.1
r = sqrt(196.1) = 14.00357 round to 14
radius = 14 kilometers
An equilateral triangle and a square have the same perimeter of 12 inches. what is the ratio of the side length of the triangle to the side length of the square? express your answer as a common fraction.
Answers
Length of one side of the triangle = 12/3 = 4
2) Perimeter of the square: 12
Length of one side of the square = 12/4 = 3
Ratio of Triangle side to the square side = 4/3
. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.77 per gallon. Write a direct variation to model the total cost c for g gallons of gas.
A . c=g/1.77
B. c=1.77g
C. g=1.77c
D. c=g+1.77
Answers
The cost equals $1.77 times the number of gallons purchased.
Let x+3, 2x+1, and 5x+2 be consecutive terms of an arithmetic sequence. find the absolute value of the common difference of the terms.
Answers
Difference between first and second terms,
D1 = (2x + 1) - (x + 3)
D1 = x - 2
Difference between second and third terms,
D2 = (5x + 2) - (2x + 1)
D2 = 3x + 1
Equating the differences,
D1 = D2
x - 2 = 3x + 1
Transposing the variables and constants to each of the sides of the equation,
x - 3x = 1 + 2
-2x = 3
Dividing the equation by -2,
x = -3/2
Substituting this value to either of the difference,
D1 = x - 2 = (-3/2) - 2 = -7/2
The absolute value of the difference is 7/2. Thus, the answer is 7/2.
Shyla used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:
16 blue
20 green
14 yellow
heads 18
tails 32
Using Shyla's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
Answers
P( getting a tail) = 32/50 = 16/25
The 2 events are independent so you multiply the probabilities:-
Required probability = 8/25 * 16/25 = 108/625
Answer:
512/2500
Step-by-step explanation:
Which side has an equal measure to BC?
A.DE
B.AB
C.EF
D.DF
PLEASE HELP
Answers
In the given diagram, we are given two triangles, triangle ABC and triangle DEF.
And we are given a line or reflection l.
Triangle DEF is the mirror image of triangle ABC.
Therefore, all sides of the triangle ABC would be congruent to sides of triangle DEF.
AB = DF
AC = DE and
BC = EF.
We can see than BC is the smallest side of triangle ABC and EF is the smallest side of triangle DEF.
Therefore, correct option is C option.C.EFOn a map, 1 inch equals 5 miles. two cities are 8 inches apart on the map. what is the actual distance between the cities?
Answers
The actual distance between the cities are 40 miles.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
According to the question we are given that On a map, 1 inch equals 5 miles. two cities are 8 inches apart on the map.
that is, 1cm : 5 miles
Here two cities are 8 inches apart on the map.
then 8 inches equals to
5 x 8 = 40 miles.
The actual distance is 40 miles.
Learn more about distance here:
brainly.com/question/24388592
#SPJ2