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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
How to find the domain of an inverse function?The domain of a function are the independent values of the function for Which it exists.
Given the function f(x) = 3x + 2
Find its inverse
y = 3x + 2
Replace x with y
x = 3y + 2
Make y the subject of the formula:
3y = x - 2
y = (x-2)/3
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
Learn more on domain here: https://brainly.com/question/26098895
Please help me! I will give you Brainlist if you get it right!
Answer:
B
Step-by-step explanation:
Have a nice day
Answer:
B as well
Step-by-step explanation:
As you can work out the area of rectangle by l ×w
which is 18×36 =648
and you can also work out the area of a segment which is
[tex]\pi \times {r}^{2} \div 2[/tex]
so pi ×18^2÷2 and then add 648 you get 1156.9.
If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.
Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?
Part B: Find the elements you described in Part A , explain your work.
Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.
For point b:
Calculating the distance among two point:
[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]
Calculating the distance among J and L
[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]
[tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]
Calculating the distance among K and L
[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]
[tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]
For point c:
As these two distances are not equal, L doesn't really lie on the JK bisector.
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Answer:
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Step-by-step explanation:
What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?
Please help me i need help
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
Learn more about distance here: https://brainly.com/question/785292
Write the equation of a line with a slope of −2 and a y-intercept of 5.
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Answer:
y = -2x +5
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . . . . . line with slope m and y-intercept b
You want a line with slope -2 and y-intercept 5, so your equation is ...
y = -2x + 5
Please quickly need this before 30 mimutes
Answer:
x = 4.48
Step-by-step explanation:
read the picture
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length
Answer:
The PERIMETER P is the distance around the rectangle.
Let's call the width of the rectangle W and the length of the rectangle L.
As you go around the edge there two equal lengths and two equal widths.
The formula for the perimeter of a rectangle is P=2*L+2*W.
P=2L%2B2W
Substitute 290 for P and 62 for the width.
290=2L%2B2%2862%29
Solve for L.
290=2L%2B2%2862%29
290=2L%2B124
290-124=2L
2L=166
L=83
The equation L=83 means that the length is 83 cm.
CHECK your work.
2(62)+2(83) = 124+166 = 290cm.
The length of the rectangle is 83cm.
find the additive inverse and multiplicative inverse of a 5
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)
I need help with this fast
Answer:
1. positive
2. No
(for number 3, I'm not sure if my answer to it is going to be correct)
Step-by-step explanation:
1. the dots look like they are going up
2. there are no outlying dots that look unusual
(05.06 MC)
Choose the function to match the graph.
-6
5
3
3
2.
1
-2
0
2.
3
4
5
6
-1
-21
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Answer:
(b) f(x) = log(x) +4
Step-by-step explanation:
The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...
f(x) = log(x) +4
Question 11
Find the volume.
Answer:
volume of the cube=15×15×15
=3375 in³
volume of the cylinder=πr²h
=π×7²×14
=686π
volume of the figure=3375+686π
the answer is first option
An earthquake with a rating of 6.5 is
considered a major earthquake that can
cause damage over a large area.
Answer:
it is not considered a major earthquake, for it to be considered a major earthquake it has to have a rating of 8.0 or higher
How do you do?????????
Answer:
Where is the full questions?
Find the distance between the points ( 19,-5) and ( 11, 10).
Answer:
Let the given two points be A & B. Let A ( 19 , - 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ ) Remember : The formula to find out the distance between any two points is [tex] \tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }} [/tex] .[tex] \large{ \tt{✺ \: SOLUTION}} : [/tex]
[tex] \large{ \boxed{ \tt{AB = \sqrt{(x_{2} - x_{1} ) ^{2} + (y_{2} - y_{1}) ^{2} } }}}[/tex]
[tex] \large{ \tt{⟶ \sqrt{(11 - 19)^{2} + (10 - ( - 5) ^{2} } }}[/tex]
[tex] \large{ \tt{⟶ \sqrt{ {8}^{2} + {15}^{2} } }}[/tex]
[tex] \large{ \tt{⟶ \: \sqrt{64 + 225} }}[/tex]
[tex] \large{ \tt{⟶ \sqrt{289}}} [/tex]
[tex] \boxed{ \large{ \tt{⟶ \: 17 \: \text{units}}}}[/tex]
And we're done! Let me know if you have any questions regarding my answer :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
simplify 2p/3 ×5p/12
Answer:
After simplify answer will be :[tex]\frac{5p}{18}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]
Now,
[tex]\frac{10p}{36}[/tex]
Final answer would be :
[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]
A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?
Answer:
247000 ?
Step-by-step explanation:
If I understand this right then that should be the answer. I added 240000 and 7000
answer 1 or answer 2?
Answer:
2 Function B
Step-by-step explanation:
Answer:
Function B is greater
Step-by-step explanation:
The gradient of Function B is of 3 = m
Though the gradient of Function A is of 1 = m, obviously being of the smaller size
If you didn't know, gradient is the same as the slope
Hope this helps
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
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Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4
Help help help help
answer: 116⁰
z⁰ for y⁰ because it's
equal
Do u know this question
Answer:
a rectangle
Step-by-step explanation:
because 2 sides are the same the other 2 arent it has four sides with straight angles
Answer:
B.
Step-by-step explanation:
Write the product in its simplest form : 6c • (-7c^6)
Answer:
Step-by-step explanation:
(-7*6)(c*c^6) = -42c^7
Which of these would be the opposite of a progressive tax?
Answer:
b
Step-by-step explanation:
(2+5i)+(-3-4i) what is the answer to this question?
Answer:
-1+i
Step-by-step explanation:
(2+5i)+(-3-4i)
=(2-3)+i(5-4)
=-1+i
Answer:
[tex]−1+i[/tex]
Step-by-step explanation:
[tex](2+5i)+(−3−4i)[/tex]
[tex]2+5i−3−4i[/tex]
[tex]−1+5i−4i[/tex]
[tex]−1+i[/tex]
Hope it is helpful.....According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)
Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:
Answer:
We think about ourselves way less than we think 8% of the time.
Step-by-step explanation:
In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).
The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."
please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared
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Answer:
B, D, E, A, C
Step-by-step explanation:
The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.
The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).
In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.
Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
