Answer:
9
Step-by-step explanation:
0
f(x)= x - 1. Find the inverse of f(x).
O A. f¹(x) = x
OB. f¹(x) = x + 1
O c. f¹(x) = x − 1
-
O D. f¹(x)=1-x
help please asap
Step-by-step explanation:
The right answer is d because inverse means power in minus
Type a number for the types of journals that will be available to you in the new lma
Answer:
Step-by-step explanation:
What are the 6 types of journals?
There are various types of journals including:
academic/scholarly journals.
trade journals.
current affairs/opinion magazines.
popular magazines.
newspapers.
Which expression is equivalent to
Answer:
AA. [tex] \frac{(2 {g}^{5} ) {}^{3} }{(4 {h}^{2}) {}^{3} } = \frac{ {g}^{15} }{8 {h}^{6} } [/tex]
Step-by-step explanation:
HOPE IT HELPS
*GEOMETRY
help me with questions 9, 10, and 11 please!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
Josh has a big backyard. He loves Red Pine trees because they can grow as tall as 50m (200 feet).
Josh is 31.2 metres away from the Red Pine tree. The angle of elevation from Josh to the top of tree is 48º. His friend Jake also has a Red Pine tree in his backyard. It is half as tall as Josh's tree. Calculate the height of Jake's tree, rounded to two decimal places
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of Jake's tree is 17.325 trees.
What is a Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given Josh is 31.2 meters away from the Red Pine tree. The angle of elevation from Josh to the top of the tree is 48º. Therefore, the height of the Josh tree will be,
Tan(48°) = Height of the tree/ Distance between Josh and tree
Height of the tree = Tan(48°) × 31.2 meter = 34.65 meters
Now, Jake's tree is half as tall as Josh's tree. Therefore, the height of Jake's tree is,
Height of Jake's tree = 34.65 meters = 17.325 meters
Hence, the height of Jake's tree is 17.325 trees.
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Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive?
Answer:
42.9%
Step-by-step explanation:
The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].
If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].
So, if we now multiply this fraction by 100, we will get the percentage amount:
[tex]\frac{45}{105} * 100 = 42.9[/tex]
This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.
Answer:
Carton receive:
42.86% (aprox)
Step-by-step explanation:
45 + 60 = 105
total votes = 105
Carlton received 45 votes
then:
45/105 = 0.4286 (aprox)
0.4286*100 = 42.86%
Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.
Answer:
2 angles are 142 degrees
2 angles are 38 degrees
Step-by-step explanation:
In any parallelogram, the opposite angles are congruent.
So,
5x - 8 = 2x + 82
3x - 8 = 82
3x = 90
x = 30
Now lets plug in x into one of the angles:
5 ( 30 ) - 8
150-8
142
So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.
2 ( 30 ) + 82
60 +82
142
As we can see, both angles are 142.
Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.
Any 4 sided shape has 360 degrees
142 + 142 = 284 degrees
Our 2 angles have 284 degrees in total.
if we subtract 284 from 360, we get 76.
Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.
So,
2 angles are 142 degrees
2 angles are 38 degrees
evaluate: (36/49)^1/2
Answer:
6/7, -6/7
Step-by-step explanation:
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the amount of time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histograms below display the lap times for both Stefano and Alex, runners in the 3,000-meter race.
2 histograms. A histogram titled Alex apostrophe s 3,000 meter race lap times has lap times (seconds) on the x-axis, and frequency on the y-axis. 35 to 36, 1; 36 to 37, 5; 37 to 38, 4; 38 to 39, 4; 39 to 40, 1. A histogram titled Stefano apostrophe s 3,000 meter race lap times has lap times (seconds) on the x-axis, and frequency on the y-axis. 32 to 33, 1; 34 to 35, 1; 36 to 37, 1; 37 to 38, 4; 38 to 39, 5; 39 to 40, 1; 40 to 41, 2.
Using the histograms, which of the following is a correct comparison?
Neither runner had a lap time between 35 and 36 seconds.
Alex’s lap times show less variability than Stefano’s lap times.
The median lap time for both runners is in the 38–39 interval.
Both runners’ highest number of lap times in the 37–38 interval.
The true statement based on the histogram is
There were no lap times between 35 and 36 seconds.
The correct option is (A).
What is Histogram?A histogram is a graphical representation that organizes a group of data points into user-specified ranges.
Given:
indoor running track is 200 meters in length.
Also, a 3,000-meter race, runners must complete 15 laps of the track.
As, there no data for interval 35-36.
So, there were no lap times between 35 and 36 seconds.
Hence, The interval from 37 to 38 seconds saw the most lap times.
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Answer:
B. Alex's lap times show less variability than Stefano's lap times.
Step-by-step explanation:
A can't be right because Alex has a lap time between 35 and 36 seconds.
C can't be right because the median lap time for Alex isn't 38-39.
D can't be right because both runners have a higher frequency on lap times other than 37-38.
so it has to be B.
Given: NM // XZ
We know that side NM is
v to side XZ. If
Prove: AXYZ ~ ANYM
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
v. we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle
v by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
M
A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:
i. Side NM is parallel to side XZ.
ii. Using the corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.
While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.
The required answers to the question are as stated below:
i. Side NM is parallel to side XZ.
ii. The corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.
Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.
Hope this helps :)
By the way this is the answer for EDGE in 2023
The first term of an arithmetic progres- sion is 3 and the last term is 9. Find the number of terms in the progression if the common difference is 3/2
Answer:
5 terms
Step-by-step explanation:
The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.
05.02 MC)
Angie is working on solving the exponential equation 34^x= 23; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Step-by-step explanation:
First she will start by mutiplying the two numbers.
The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?
Using translation concepts, the graph of g(x) is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]f(x) = \sqrt{x}[/tex].
With the changes, we have that:
f(-x) is the function reflected over the y-axis.f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.Hence the function will be given by:
[tex]f(x) = \sqrt{-x} - 2[/tex].
The graph is given at the end of the answer.
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Answer:
Step-by-step explanation:
Jamar is attempting to factor the expression 15x^2-16x-15. In his first step, he rewrites the expression as 15x^2-25x+9x-15. Which of the following statements in true about Jamar’s work?
A. Jamar's first step is correct. He should continue to factor the expression.
B. The two middle coefficients add to the correct number, but do not multiply to the correct number.
C. The two middle coefficients multiply to the correct number, but do not add to the correct number.
D. The two middle coefficients do not add or multiply to the correct number.
Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Jamar is attempting to factor the expression 15x² – 16x – 15.
In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.
Jamar's first step is correct. He should continue to factor the expression.
Then the correct option is A.
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The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
(-k.h)
(-h.k)
(k,b)
(h,k)
Answer:
(h, k )
Step-by-step explanation:
given the standard form of an absolute function
f(x) = a| x - h | + k , then
vertex = (h, k )
The standard form of an absolute value function is f(x) = a|x - h| + k, where (h,k) is the vertex of the absolute value function.
The correct option is (h,k).
What is a function?The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.
In general, the standard form of an absolute value function is given as:
f(x) = a |x - h| + k
where:
a is a non-negative constant that determines the shape and direction of the V-shaped graph of the absolute value function
h is the horizontal shift of the graph of the function from the origin (if h > 0, the graph shifts to the right; if h < 0, the graph shifts to the left)
k is the vertical shift of the graph of the function from the origin (if k > 0, the graph shifts up; if k < 0, the graph shifts down)
The vertex of the absolute value function is the point where the graph changes direction, that is, the point where the graph changes from sloping downwards to sloping upwards or vice versa.
Since the vertex is the point of the absolute value function where the graph changes direction, it lies at the center of the V-shaped graph. Thus, the vertex is located at the point (h,k).
Therefore, in the standard form f(x) = a |x - h| + k, (h,k) represents the coordinates of the vertex of the absolute value function.
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what is 25:28 in slimpelst from
Answer:
25:28 is the simplest form
Step-by-step explanation:
This is a ratio, think of it like a fraction. You can simplfy it by dividing by common factor.
25 and 28 have no common factors except for 1.
25: 1,5,25
28: 1,2,4,7,14,28
It will stay as 25:28
Answer:
it stays the exact same or 0.893
Step-by-step explanation:
For some given data, if Z-M = 2 and
x= 33.5, then Z =
(a) 35.5 (b) 36.5 (c) 32.5
(d) 34.5
Answer:
Not enough information. See below.
Step-by-step explanation:
Z-M = 2
x= 33.5, then Z = ?
How does x relate to Z or M? Is the Z-M= 2 equation correct? Or is it M=33.5?
The maximum number of turning points of a 9th degree polynomial is?
Answer:
8
Step-by-step explanation:
this was actually in my book and it came in today's test as well but I got 14/20 and failed lol
What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
RQ = 3x+2 ,QN = 2x and SM=3x
In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.
The centroid of the triangle divides each median in the ratio 2:1
RQ/QN = 2/1
(3x+2)/2x = 2/1
After solving:
3x + 2 = 4x
x = 2
Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
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Which of these correctly explains the solution of the system of equations shown
below?
2x + 3y = 6
x+ 3y = 12
O A The equations have x-intercepts at 3 and 12; therefore, (3, 12) is the
O
B. The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is
the solution.
O
C. The lines representing the equations intersect at x= 1 and y = o; therefore,
(1, 0) is the solution.
The equations have v-intercents at 2 and 4: therefore
the solution
The solution of the system of equations is the point (-6, 6), so the correct option is B.
Which statements are correct about the system of equations?
Here we have the system of equations:
2x + 3y = 6
x + 3y = 12
First, let's write these two lines in the slope-intercept form:
y = (6 - 2x)/3 = 2 - (2/3)*x
y = (12 - x)/3 = 4 - (1/3)*x
Now, because "y" is the represents the same variable in both equations, we can write:
2 - (2/3)*x = y = 4 - (1/3)*x
Now we can solve that for x.
2 - (2/3)*x = 4 - (1/3)*x
2 - 4 = (2/3)*x - (1/3)*x
-2 = (1/3)*x
3*(-2) = x = -6
Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:
y = 4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6
Then the solution of the system is the point (-6, 6). Then the correct statement is B:
"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."
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1 − 2 + 3 −... + 99
Please solve!
Answer:
50
Step-by-step explanation:
So you can think of this by grouping it like this:
(1-2) + (3-4) + (5-6) + ... + (97-98) + 99
which is equal to: (-1) + (-1) + (-1)... + (-1) + 99
(each group is equal to -1, and 99 won't have a pair since it's the last one)
then, find how many groups of -1 there are:
the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.
so now, you know that there are 49 -1s, so 49 * (-1) = -49.
finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.
i need help with this question (answer choices 15, 5, and 12)
Answer:
x = 15
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral sum to 180° , then
6x + 20 + 3x + 25 = 180 , that is
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15
Use the algebra tiles to model the equation 2x + 4 = 3x + (−1). Then complete the sentences. To model 2x + 4, you need:
The value of x would be 5 for the model 2x+4.
Rearrange unknown terms to the left side of the equation,
[tex]= > 2x-3x = -1 - 4[/tex]
Combine like terms[tex]= -x = -1-4[/tex]
By calculating the sum or difference : -x = -5
Lets divide both sides of the equation by the resulting coefficient 5
So x = 5
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Can someone help with this q u e s t i o n p l e a s e
Function g is a transformation of function f.
Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.
What is the equation of function g?
g(x) = f(x)
The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given:
genera form of an exponential function is y=aeᵇˣ
Now, equation for f(x) is
f(x) = [tex]e^{(log \;2)x} -2[/tex]
Similarly, graph for g(x) is
g(x) = [tex]-3e^{(log \;2)x} +6[/tex]
Comparing the two function a relation can be establish
g(x) = -3[f(x)]
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Answer:
shifted to the left two units
g(x)=-f(x+2)
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!
What is the exact value of cos(tan−1(−1))/sin(cos−1(−3√2))?
Enter your answer, as a simplified fraction, in the box.
cos(tan−1(−1))/sin(cos−1(−3√2))=
The exact value of [tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex] would be root 2.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex]
We know that
The inverse tan(-1) = -π/4
cos(-π/4) = 1/√2
The inverse cos(√3/2) = π//6
sin(π/6) = 1/2
Then substitute
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}\\\\[/tex]
[tex]\dfrac{(1/\sqrt{2}) }{(1/2)} \\\\= \sqrt{2}[/tex]
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what is the solution to square root 5x+3= 3 square root x?
A.3/4
B. 3/2
C.-3/4
D.-3/2
Answer:
A. 3/4
Step-by-step explanation:
1. Square both sides:
5x + 3 = 9x
2. Subtract 5x from both sides:
3 = 4x
3. Divide 4 from both sides:
3/4 = x
Answer: A
Answer:
3/4
Step-by-step explanation:
it's correct
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
Use the polygon tool to graph the dilated figure.
(See attached image for details.)
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
How to graph the dilated image?The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
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What is the slope of the line that contains the points (-2, 7) and (2, 3)?
Answer:
The slope of the line is -1.
Step-by-step explanation:
SLOPE OF A LINE FORMULA
SLOPE = Y2 - Y1/ x2 - x1
m = Y2 - Y1/ x2 - x1
m = 3 - 7 / 2- (-2)
m = -4/4
m = -1
The slope of the line is -1.
need how to do this anyyonnneeeehr
the total area of the figure A = 144.5 cm²
How to find the area?
First, the area of a rectangle of length L and width W is:
A = W*L
Here we have:
L = 13cm
W = 9cm
Then the area is:
A = 9cm*13cm = 117 cm²
For a triangle of height H and base B, the area is:
A = B*H/2
Here the base measures 11cm, and the height is:
H = 13cm - 8cm = 5cm
So the area of the triangle is:
A= 5cm*11cm/2 = 27.5cm²
Then the total area of the figure is:
area = 27.5cm² + 117 cm² = 144.5 cm²
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