Answers
Step-by-step explanation:
you don't know the meaning of
[tex]y = {h}^{ - 1} (x)[/tex]
it means it is the inverse function to h(x).
the regular function assigns an y value to every x value.
the inverse function now turns this around and finds for a given y value the original x value.
so, the inverse function is easier understood, if we would write it
[tex]x = {h}^{ - 1} (y)[/tex]
but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).
just, the understanding of an inverse function is a I just described it.
that means for the points, simply x and y values trade places.
the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).
and the point (3, 2) turns into (2, 3).
so, move the 2 green dots to these coordinates.
Related Questions
Which of the following is a like radical to 3√6x^2
x(3√6x)
6 (3√x²)
4 (3√6x²)
x(3√6)
Answers
Answer:
x(3√6)
Step-by-step explanation:
Radicals:
Take out a variable or number for every pair of the variable or number inside the radicals
[tex]\sf 3\sqrt{6x^2}=3*\sqrt{6*x*x}\\\\[/tex]
[tex]\sf = 3x \sqrt{6}[/tex]
what is the measure of an angle if it is 260 less than three times its own supplement
Answers
Answer:
130 degrees
Step-by-step explanation:
Let's assume that the angle is X. If angle is x, then:
x+260 = 3x
subtract x from both sides:
260 = 2x
130 = x because 260/2 is 130
so the answer is 130 degreees
Answer:
I feel like the answer is 70 degrees
Step-by-step explanation:
3(180-x)-260=x
540-3x-260=x
-3x+280=x
280=4x
x=70
4x²-12x+9 = 5
☐ A. x= -√√5 +
312
B. x= √√4-3
C. X = -√√4-3
O D. x = √5 + 2/
□ E. x= -√5 +3
2
OF. x = √5 +3
2
Answers
Answer:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
11. rewrite the function in the form y=a (1+r)*
or y=a (1-r) ² then state the growth or decay
rate. y = a (6) t/a
Please help!!
Answers
Problem 10
The two functions are inverses of each other. Why? Because we can think of f(x) = (x-7)/(-2) as y = (x-7)/(-2).
Swap x and y to get x = (y-7)/(-2). Solving for y leads to y = -2x+7 showing that g(x) = -2x+7 is the inverse of f(x) = (x-7)/(-2). This process can be done in reverse to get the same result.
===================================================
Problem 11
y = a(6)^(t/2)
y = a( 6^(1/2) )^t
y = a(2.4494897)^t
y = a( b )^t
where b = 6^(1/2) = 2.4494897 approximately
Set b equal to 1+r and solve for r
1+r = 2.4494897
r = 2.4494897-1
r = 1.4494897
This rounds to about r = 1.45
The r value is the decimal form of the percentage, which means we move the decimal point over two spots to the right to get 145% approximately
Answers:
The equation is roughly y = a(1 + 1.4494897)^t
The growth rate is approximately 145%
===================================================
Problem 12
You have the correct answer. Nice work.
===================================================
Problem 13
You are very close to the correct answer. However, you're missing the base of the log.
The answer should be [tex]\log_{49}(343) = \frac{3}{2}[/tex]. So you'll need to write in a small "49" under the log.
The general rule is that exponential equations in the form [tex]b^x = y[/tex] are equivalent to the log version of [tex]\log_{b}(y) = x[/tex]. For each equation, b is the base. The idea of logs is to isolate the exponent.
I’m confused I need help
Answers
Answer:
x-intercept: -4
Step-by-step explanation:
It's where the slope intercepts with the x-axis
Answer:
Step-by-step explanation:
x-intercept: the x-value is that when y = 0: (-4, 0).
y-intercept: the y-value when x = 0: (0, 5)
Match the following reasons with the statements to complete the following proof.
Answers
In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:
m ∠CBD - m ∠DBE - Given ∠ABC, ∠CBD are supplementary - Given by the definition of supplementary angels. m ∠ABC + m ∠CBD = 180° - this is is also based on exterior sides in opposite raysm ∠ABC + m ∠DBE = 180° because of the substituted angles.QEDWhat is a supplementary angle?Supplementary angles comprise of angles that are on a straight line and which must add up to 180°
It is right to state therefore, that ∠ABC, ∠CBD are supplementary angels.
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3/5x + 3 = 6 whats is x?
Answers
Answer:
X = 3/53/5x + 3 = 6
3/5x = 6 - 5
3/5x = 1
Multiplying both the sides with 5x3/5x (5x) = 1* 5x
3 = 5x
3/5 = X
If a(x) = 3x + 1 and b (x) = square root of x-4, what is the domain of (b o a)(x)
Answers
( 1, ∞) is the domain of (b o a)(x)
What is Function?
A function is defined as a relation between a set of inputs having one output each.
According to the question,
[tex]a(x) = 3x + 1 \\\\b (x) =\sqrt{x+4}[/tex]
To find the domain of the composite function,
[tex](b o x) (x) = b(a(x))\\\\(b o x) (x) = b(a(3x-1))\\\\(b o x) (x) = \sqrt{3x+ 1 -4} \\\\(b o x) (x) = \sqrt{3x -3}\\\\[/tex]
Therefore,
[tex]3x - 3 \geq 0\\3x \geq 3\\x \geq 1\\\\[/tex]
Hence , [ 1, ∞ ] is is the domain of (b o a)(x).
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What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?
Answers
Answer:
y = [tex]\frac{1}{5}[/tex] x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = [tex]\frac{1}{5}[/tex] x - 5 ← equation of parallel line
(x^2 + x - 17) + (x − 4) divide using polynomial long division
Answers
Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)
Step-by-step explanation: See attachment
Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25
Answers
The absolute value equation that can be used to find the minimum and maximum radius accepted is:
A. |r - 1.25| = 0.1.
What is the absolute value?The absolute value function is defined as follows:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.
In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:
A. |r - 1.25| = 0.1.
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Which formula can be used to describe the sequence? f(x) = 1.2(2.5)x – 1 f(x) = 2.5(1.2)x – 1 f(x) = 1.2(2.5)x f(x) = 2.5(1.2)x
Answers
The formula which used to describe the sequence is f(x)=1.2(2.5)ˣ⁻¹.
The given sequence is 1.2,3,7.5,18.75.
In geometric series, the ratio of two consecutive terms remains the same and this ratio is known as common ratio. a₁ is the first term of a geometric sequence and r is the common ratio, then the general term of the geometric sequence is of the form:
f(x)=a₁⋅rˣ⁻¹.
In the given sequence, a₁=1.2, a₂=3, a₃=7.5 and a₄=18.75.
Find the common ratio by
r=(aₙ₊₁)÷aₙ
r=a₂÷a₁
r=3÷1.2
r=2.5
Substitute the values in the general formula of geometric sequence.
f(x)=(1.2)(2.5)ˣ⁻¹
Hence, the formula which used to describe the sequence 1.2,3,7.5,18.75 is f(x)=(1.2)(2.5)ˣ⁻¹.
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Given that log (p, x) =20 and log (p, y) =5 find log (x, y)
Answers
Answer:
1/4
Step-by-step explanation:
The change of base formula for logarithms is ...
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
__
Using this with the given values, we have ...
[tex]\log_x(y)=\dfrac{\log_p(y)}{\log_p(x)}=\dfrac{5}{20}\\\\\boxed{\log_x(y)=\dfrac{1}{4}}[/tex]
All of the details to the question are in the picture that is attached in this question, please helpp
Answers
Answer:
10
Step-by-step explanation:
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+442(5a+10)=180(a+4) [multiply both sides by 180]210a+420=180a+720 [distributive property]30a+420=720 [subtract 180a from both sides]30a=300 [subtract 420 from both sides]a=10 [divide both sides by 30]Write an equation for the n
term of each geometric
nth
sequence.
1, 4, 16, ...
Answers
a = 1 and r = 4/1 = 16/4 = 4
t(n) = 1 x 4^(n - 1)
2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.
What value of x will make the triangles similar by the SSS similarity theorem?
Answers
The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
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Which statements are true about the linear inequality y > three-fourthsx – 2? select three options.
Answers
The statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).
What is linear inequality?Linear inequality is defined as the comparison of two values using greater than, less than, greater than or equal to, and less than or equal to.
Using the general formula for linear inequality,
y >mx+ b
y > 3/4x - 2
Where m = slope of the graph
b = interception at y axis
Therefore, the statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).
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find the value of cosec^2 30 degree - sin^45 - sec^60
Answers
For this question, I will be writing 'csc' instead of 'cosec'
[tex]\sin 30^{\circ}=\frac{1}{2} \implies \csc 30^{\circ}=2\\\\\sin 45^{\circ}=\frac{1}{\sqrt{2}}\\\\\cos 60^{\circ}=\frac{1}{2} \implies \sec 60^{\circ}=2\\\\\\\therefore \csc^{2} 30^{\circ}-\sin^{2} 45^{\circ}-\sec^{2} 60^{\circ}=2^{2}-\left(\frac{1}{\sqrt{2}} \right)^{2}-2^{2}=\boxed{-\frac{1}{2}}[/tex]
What’s not located on a coordinate plane?
Answers
Answer:
umm a plane that's all.
dangit and I don't know
What is the least common
denominator?
3
-7
5
4xy'z ' 8xºy ' 12yz2
[ ? ]x[ y[ ]z Q
Z
Answers
Find the sum of the first 7 terms of the following sequence 3,-5,25/3 Round to the nearest hundredth if necessary.
Answers
This is a geometric sequence with first term 3 and a common ratio of -5/3.
Using the sum of a geometric series formula,
[tex]\frac{3(1-(-5/3)^{7}}{1-(-5/3)} \approx \boxed{41.31}[/tex]
Please help me with my math
Answers
Answer:
x = 72
y = 15
Step-by-step explanation:
m and n are parallel lines so we can write the following equation:
108 + x = 180 because these angles are supplementary
if we subtract 108 from both sides
x = 72 we can also write the following equation:
5y - 3 = x because these are alternate angles
5y - 3 = 72 add 3 to both sides
5y = 75 divide both sides by 5
y = 15
Each car on the lot at a car dealership has 4 tires and 2 headlights. Which pair correctly describes tires and headlights?
Answers
Answer: 4 : 2
Step-by-step explanation:
I am going to assume you want a ratio between number of tires to headlights which is
4 : 2
Explanation: just guessing♀️
A=(1+1/2).(1+1/3). ... .(1+1/2020)
Answers
[tex]A=\left(1+\dfrac{1}{2}\right)\cdot \left(1+\dfrac{1}{3}\right)\cdot\ldots\cdot \left(1+\dfrac{1}{2020}\right)=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\ldots\cdot \dfrac{2021}{2020}=\dfrac{\dfrac{2021!}{2}}{2020!}=\\\\=\dfrac{2021}{2}=1010.5[/tex]
Which function has an x-intercept of - 4 and a y-intercept of 3 when graphed?
Answers
The function that has an x-intercept of - 4 and a y-intercept of 3 when graphed is f(x) = 3/4x + 3
Intercepts of a lineThe x-intercept of a line is the point where the line crosses the x-axis while the y-intercept of a line is the point where the line crosses the y-axis.
For the x-intercept, y = 0
For the function f(x) = 3/4x + 3
0 = 3/4x + 3
0 = 3x + 12
-3x = 12
x = -4
This shows that the function has an x-intercept of -4
For the y-intercept, x = 0
For the function f(x) = 3/4x + 3
y = 3/4(0) + 3
y = 3
This shows that the function has an y-intercept of 3
Hence the function that has an x-intercept of - 4 and a y-intercept of 3 when graphed is f(x) = 3/4x + 3
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Joe has an ice cream stand. last week he spent $85 for ice cream and supplies. he earned $125. what was his profit?
Answers
Answer:
40 dollars
Step-by-step explanation:
Profit is what he earned minus his costs
Profit = 125 -85
Profit = 40
The simple interest on $2000 at 2% per annum for 3 months is
Answers
Step-by-step explanation:
s.i= P×T×R/100
=2000×0.25×2/100
= 1000/100
= 10
Answer:
$10
Step-by-step explanation:
[tex]2000 \times .02 \times \frac{1}{4} = 10[/tex]
A/n ____ is a part of a circle that represents an angle.
Answers
Answer:
An Arc is a part of a circle that represents an angle.
change 5/8 to percentage
Answers
Answer: 62.5%
Step-by-step explanation:
First, you must simplify 5/8 into a decimal and then multiply that by 100 to get the percentage of the fraction.
[tex]\frac{5}{8}=0.625[/tex] [tex]0.625*100=62.5[/tex]%
I hope this helps!! Pls give brainliest :)
Which is equivalent to 4√9 1/2x?
Answers
Answer:
second branch..................