Given the function:
\(f(x)=3x-3\)Let's find f(-6).
To solve this function operation, substitute -6 for x in f(x).
Thus, we have:
\(\begin{gathered} f(-6)=3(-6)-3 \\ \\ f(-6)=-18-3 \\ \\ f(-6)\text{ = -21} \end{gathered}\)ANSWER:
-21
Find two points on the line to graph the function.
Any lines or curves will be drawn once all required points are plotted.
The two points on the line to graph the function is (3, 4/3) and (-6, 10/3).
Define the term a line?A line is a one-dimensional, straight shape that can go on forever in both directions. It is made up of an infinite number of points that are organized in a straight line.
We are unable to offer two points on the line for graphing in the absence of a line or function.
We consider the function is, \(f(x) = 2 - \frac{2}{9} x\)
To graph the function \(f(x) = 2 - \frac{2}{9} x\) , we can choose any two values of x, plug them into the equation to find the corresponding values of y, and then plot the points (x, y) on the coordinate plane. Here are two possible sets of points we can use:
Set 1:
Let x = 0:
f(0) = 2 - (2/9)(0) = 2
Therefore, one point on the line is (0, 2).
Let x = 9:
f(9) = 2 - (2/9)(9) = 0
and another point on the line is (9, 0).
Now, we can plot these two points on the coordinate plane and draw a straight line passing through them to graph the function \(f(x) = 2 - \frac{2}{9} x\)
Set 2:
Let x = 3:
f(3) = 2 - (2/9)(3) = 2 - (2/3) = 4/3
So one point on the line is (3, 4/3).
Let x = -6:
f(-6) = 2 - (2/9)(-6) = 2 + (4/3) = 10/3
So another point on the line is (-6, 10/3).
Now, we can plot these two points on the coordinate plane and draw a straight line passing through them to graph the function \(f(x) = 2 - \frac{2}{9} x\)
Therefore, the two points on the line to graph the function is (3, 4/3) and (-6, 10/3).
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A player throws a basketball toward a hoop. The basketball follows a
parabolic path that can be modeled by the equation
y=125x² +2.08x + 4. The table models the parabolic path of another
basketball thrown from somewhere else on the court. If the center of the
hoop is at (12,11), will each ball pass through the hoop?
Will the basketball that follows a parabolic path modeled by y=-.125x² +2.08x + 4 pass through the hoop?
yes
No
Will the other basketball, whose path is modeled by the table, pass through the
hoop?!
Yes
No
1. in this exercise you must substitute the value of of x = 12 in the equation of the parable given, if the result is 10 then the ball pass through the hoop
2. Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of this form it is demonstrated, that the ball pass through the hoop
The distance between the points (2, -4) and (3, 8) is:
Answer:
1,12
Step-by-step explanation:
Emma county charges 5.25% sales tax what is the sales tax on a $40 purchase
Answer:
$2.10 is the sales tax
Step-by-step explanation:
convert 5.25% to a decimal
5.25 / 100 = 0.0525
0.0525 x 40 = 2.1
I need to know this answer
The equation of the line is y = (3/2)x - 1/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).
Now,
The equation of a line.
y = mx + c
The line passes through points (3, 4) and (5, 7).
m = (7 - 4) / (5 - 3)
m = 3/2
Slope = 3/2 _____(1)
Now,
(3, 4) = (x, y)
4 = 3/2 x 3 + c
4 = 9/2 + c
c = 4 - 9/2
c = (8 - 9) / 2
c = -1/2
y-intercept = -1/2 ____(2)
Now,
y = mx + c
From (1) and (2),
y = (3/2)x - 1/2
Thus,
The equation of the line is y = (3/2)x - 1/2.
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The complete question.
Find the equation of a line that [passes through the point (2, 4), and (5, 7).
I just need help with the answer
Answer:
\(\sin(\frac{19}{12}\pi)\\\\=\sin(\frac{15}{12}\pi+\frac{4}{12}\pi)\\\\=\sin(\frac{15}{12}\pi)\sin(\frac{1}{3}\pi)+\cos(\frac{15}{12}\pi)\cos(\frac{1}{3}\pi)\\\\=-\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}-\frac{\sqrt{2}}{2}\cdot\frac{1}{2}\\\\=\frac{-\sqrt{6}-\sqrt{2}}{4}\\\\=-\frac{\sqrt{2}(\sqrt{3}+1)}{4}\)
A=2
B=3
I genuinely hope this helped you answer the question. Have a nice day.
Find the equation in standard form of the line with slope 3/10 that passes through the point (9,2).
pls help.. person with correct answer will be marked brainliest
Answer:
x = 43.4°
Step-by-step explanation:
when two straight line intersects, angles directly opposite of each other has the same value.
which expression is equivalent to 13 - 4.5 +(-8)
\(\huge\text{Hey there!}\)
\(\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 6^{\circ}
∘
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 13^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
The required the distance from point A to point B is approximately 855.31 feet.
Explain about angle of elevation.The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
According to question:Let's call the distance from point A to the lighthouse "x" and the height of the lighthouse "h" (h = 111 feet). We can use the tangent function to relate the angle of elevation to the distance and height:
tan(5°) = h/x
Solving for x, we get:
x = h/tan(5°) ≈ 1268 feet
Now let's call the distance from point B to the lighthouse "y". We can use the same tangent function to relate the angle of elevation from point B:
tan(15°) = h/y
Solving for y, we get:
y = h/tan(15°) ≈ 412.69 feet
The distance between points A and B is just the difference between x and y:
1268 - 412.69 ≈ 855.31 feet
So the distance from point A to point B is approximately 855.31 feet.
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Complete question:
A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 5º, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 15°. Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.
please I need help
Answer:
6
Step-by-step explanation:
Parrelal lines, so SRQ will be 180-108=72. 72/12=6.
Challenge Question: 146.794/0.643 I bet u 100 bucks to do it!!!!!!
The answer would be 228.295489891
Rounded to the nearest tenth it would 228.3
Could you please help me on this question out really appreciate it!
A 5-foot wide
hallway requires
440.5 ft2 of carpet
to cover. How
long is the
hallway, in feet?
Answer:
length × width = area
440.5 = 5 × length
length = 440.5 / 5
length = 88.1
so haway is 88.1 foot long
the length of the hallway is 88.1 feet. To find the length of the hallway, we need to use the given information about the width of the hallway and the total area of the carpet required to cover it.
Given:
Width of the hallway = 5 feet
Area of carpet required = 440.5 ft^2
Let's denote the length of the hallway as "L" (in feet).
The area of a rectangle (such as the hallway) is given by the formula:
Area = Length * Width
In this case, the area is given as 440.5 ft^2, and the width is given as 5 feet. Now we can set up the equation:
440.5 = L * 5
To find the length (L), divide both sides by 5:
L = 440.5 / 5
L = 88.1
So, the length of the hallway is 88.1 feet.
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Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answer:
\(y =\frac{1}{2}x -4\)
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
\(y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4\)
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Describe how the graph of g(x)= 3(5^X) is related to the graph of f(x) = 5^X
Answers are:
A. g(x) is shifted 3 units to the left
B. g(x) is horizontally stretched
C. g(x) is shifted 3 units to the right
D. g(x) is vertically stretched
Please explain why you choose the answer pleae
Find the slope of the line graphed.
A) -4/5
B)-5/4
C)4/5
D)5/4
Have to use photo to solve.
Answer:
The answer is -4/5 C
Step-by-step explanation:
write and equivalent expression by combining like terms 12x+6y-3y+9
Answer:
12x + 3y + 9
Step-by-step explanation:
Im not sure if you can add constants to variables so here is my simplified expression.
A manufacturer uses 34 yard of fabric in each skirt.
How many yards of fabric will the manufacturer use in 4 skirts? in 7 skirts? in 9 skirts?
Answer:
She would use 136 yards in 4 skirts, 238 yards in 7 skirts, and 306 yards in 9 skirts. Hope this helps
Step-by-step explanation:
Mike Meier purchased a lawnmower for $328.61, a lawn sprinkler for $13.27, and a hose reel for $27.96. He must pay the state tax of 5.5 percent, the county tax of 1.5 percent, and the city tax of 2 percent. What is the total purchase price?
Answer: $402
Step-by-step explanation: I believe this answer is correct i did all the math
The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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(x + 3) metres
(2x - 1)metres
The area of triangle ABC is 6√2 m².
Calculate the value of x.
Give your answer correct to 3 significant figures.
Answer: 2.63
Step-by-step explanation:
Using the formula \(A=\frac{1}{2} ab \sin C\),
\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)
A number between and including 1 and 100 is randomly selected. What is the probability that it is prime, as a common fraction? (Note: 1 is not prime)
Answer:
25%
Step-by-step explanation:
25 divided 100 = 0.25
Help pls I really need help
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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what number is an element range of the equation y =2x – 7
for the domain of {4, 3, 2} ?
You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.
what is range ?The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.
Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.
Here the explanation ,
The R domain xx.
R' is the range yy.
Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.
The R domain xx. R is the range "y"
You have a range of -15, -13, and -11.
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Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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PLSSSSSSS HELPPPP THIS IS MATH HELP NEEDED
Answer: 1 = 7/3
Step-by-step explanation:
which propertied belong to all isosceles triangles? check all that apply
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Please see screenshot.
Answer:
See below
Step-by-step explanation: