Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
What is the domain and range of f left parenthesis x right parenthesis= x2 + 4?
Answer:
The domain is all real numbers or (-infinity, +infinity)
The range is all numbers greater than or equal to 4 or (4,+infinity)
Hope this helped! :)
ANSWER
[tex](-∞,+∞)[/tex]
EXPLANATION
The given function is
[tex]f(x) = {x}^{2} + 4[/tex]
This is a polynomial function.
Polynomial functions are defined for all real values of x.
For every x-value, there is a corresponding y-value.
Therefore the domain of the given function is all real numbers.
We can rewrite this as:
(-∞,+∞).
Vera runs a stable. 15 horses currently board at the stable, and 7 of them are palomino.
What is the probability that a randomly chosen horse will be palomino?
Simplify your answer and write it as a fraction or whole number.
P(palomino) =
Answer:
47%
Step-by-step explanation:
you would take the number of palomino horses and divide that by the total number of horses like this:
7 / 15 = 0.46666667
which would be rounded to 0.47
which equals 47%
so the probability of randomly choosing a palomino horse would be about 47%
i hope this helps :)
BRAINLIEST + POINTS NEED HELP!
Answer:
ohh tough one let me figure this out
Step-by-step explanation:
brb
afk
Help plz I don’t understand this like at all!!!
Answer:
x is less than or equal to 3.5
Step-by-step explanation:
For this you can any variable but let’s use d representing the distance that Jonathan ran.
Hmm
D_>3.5+5
In other words d is less than or equal to 3.5 plus 5
Hope this helped u :)
Graph the hyperbola with equation quantity x minus 1 squared divided by 49 minus the quantity of y plus 3 squared divided by 9 equals 1.
Answer:
See attached diagram
Step-by-step explanation:
You are given the equation of hyperbola
[tex]\dfrac{(x-1)^2}{49}-\dfrac{(y+3)^2}{9}=1[/tex]
From this equation,
the center of hyperbola is at point (1,-3);the real semi-axes [tex]a^2=49\Rightarrow a=7;[/tex]the imaginary semi-axes [tex]b^2=9\Rightarrow b=3.[/tex]Draw two parallel lines x=1 and y=-3 (they intersect at the center of hyperbola), then on horizontal line match two hyperbola's vertices (7 units to the left and 7 units to the right from the center). Then draw two branches of hyperbola (one in negative direction and one in positive direction).
Caroline measured the weight of a dog that came into the veterinary clinic. She determined that her measurement had a margin of error of 0.05 kilogram. What could be the measured weight of the dog?
Answer:
9.2 kilo grams
Step-by-step explanation:
The perimeter of rectangle abcd is 28 and the area is 45.what is the new perimeter and area after the rectangle has been dilated by a scale factor of 4?
Answer is
New perimeter = 112
See photo
Which point is located at (6,1)?
A) T
B) V
C) W
D) X
Go 6 units in X axis and 1 unit in Y axis and you get V.
Alternative B
Answer:
B, Point V
Step-by-step explanation:
find 6 on the x-axis and go up 1, you will find point V
Melanie paid $42.50 for 3 adult tickets and 2 student tickets at Theater A. Drew paid $47 for 4 student tickets and 2 adult tickets at Theater A. Theater B charges $9 for each adult ticket and $7 for each student ticket.
Which of the following statements is TRUE?
A
The price for each adult ticket is the same at both theaters
B
The price for each student ticket is the same at both theaters.
C
The price of an adult ticket at Theater A is $0.50 less than the price of an adult ticket at Theater B.
D
The price of a student ticket at Theater B is $0.50 less than the price of a student ticket at Theater A.
Answer:
B. The price for each student ticket is the same at both theaters
Correct Option is B.
System of Linear equations:
A system of linear equations is a set of equations which are satisfied by the same set of variables.
Ex : 2x - y = 12 , x - 2y = 48
Here,
Let's take adult ticket price in theatre A = x
And the student ticket price in theatre A = y
So, (Given), 3x + 2y = $42.50 (Melanie paid)
=> 2y = $42.50 - 3x --(1)
Also given, 2x + 4y = $47 (Drew paid)
=> 4y = $47 - 2x
2(2y) = $47 - 2x
Now, substitute 2y value from eq-(1), we get
2($42.50 - 3x) = $47 - 2x
$85 - 6x = $47 - 2x
=> $85 - $47 = 6x - 2x
=> $38 = 4x
=> x = ($38)/4 => 9.5
Substitute x value in eq-(1), we get
2y = $42.50 - 3(9.5) => y = $7.
In the given options only Option B is the correct answer.
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For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2
ANSWER
The constant of variation is 6.
EXPLANATION
The inverse variation equation is:
[tex]xy = k[/tex]
We want to find the constant of variation, when x=-3 and y=-2.
We substitute the values for x and y to get,
[tex] - 3 \times - 2 = k[/tex]
Multiply out the left hand keeping in mind that negative times negative yields a positive result.
This implies that;
[tex]k= 6[/tex]
Hence the constant of variation is 6.
Answer:
The constant of variation k is 6.
Step-by-step explanation:
Given that there is inverse variation between x and y with equation
[tex]xy=k[/tex]
we have to find the constant of variation k when x=-3 and y=-2
The inverse variation equation is:
[tex]xy = k[/tex]
To find constant of variation we substitute the values of x and y
Put x=-3 and y=-2
[tex](-3)\times (-2)=k[/tex]
Solve LHS by multiplying
This implies
[tex]k= 6[/tex]
Hence the constant of variation is 6.
hailey had 4 3/8 cup of cherries she used 5/8 of the cherries to bake muffins how many cups of cherries did she use
Answer:
2 31/32 cups used
Step-by-step explanation:
We have 4 3/8 cups cherries
Change this to an improper fraction
4 3/8 = (8*4+3)/8 = 38/8
We use 5/8 of the cherries
38/8 *5/8
190/64
Change this back to a mixed number
64 goes into 190 2 times
190 - 128 =62 left over
2 62/64
2 31/32 cups used
A rotation is a transformation that turns a figure around a given ______ called the center of rotation
Will give BRANILEST
Rotation is a type of transformation that turns a figure around a given point called the center of rotation
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Rotation is a type of transformation that turns a figure around a given point called the center of rotation.
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Final answer:
A rotation is a transformation that involves a figure turning around a fixed point called the center of rotation, with all other points moving in circular paths around this central point.
Explanation:
A rotation is a transformation that turns a figure around a given point called the center of rotation. In geometry, when objects undergo rotation, such as a compact disc (CD) spinning, each point on the object moves along a circular arc. The rotation is planar, meaning the object stays within a single plane as it turns around a central point. The axis of rotation can be thought of as a line passing through this central point, remaining fixed while the rest of the figure rotates around it. For example, Earth's rotation on its imaginary axis, stretching between the North and South Poles, causes the daily cycle of night and day.
When we consider an individual object rotating in a fixed location, the axis of rotation is the line about which the rotation occurs. Points on this axis do not move, and every other point in the object follows a path around this axis. If we were to visualize the motion of a rotating rod, for instance, we would see that a rod rotated around an axis through its center perpendicular to its length exhibits this rotational motion. In all cases, the center of rotation acts as a pivotal point around which the figure rotates.
What is the arc length of the semicircle?
The arc is equal to the half of circumference.
The formula for circumference is [tex]C=2\pi r=2\pi 11=22\pi\approx69.11[/tex]. Now divide that by 2 and you get [tex]69.11\div2\approx\boxed{34.56}[/tex]
Semicircular arc has a length of approximately 34.56
Hope this helps.
r3t40
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer: B.) f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞
The graph touches, but does not cross, the x–axis at x =__
The graph of the function crosses the x–axis at x = ___
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
Answer:
Part 1. B
Part 2. 4, 0
Step-by-step explanation: Edge 2023
Find the future value and interest earned if $8706.54 is invested for 8 years at 6%
Answer:
Flat 12,885.68
Compound 13,876.90
Step-by-step explanation:
Flat rate (6% of only the amount you invested originally per year (based on investment) -
(8706.54*.06)*8+8706.54=12885.68 (rounded)
Compound interest (6% interest on total money earned per year(based on amount invested previous year).)
(((((((8706.54*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)*1.06)=13,876.90
The future value of the investment is $13876.90 and the interest earned is $5170.36.
To solve this problemWe can use the following formulas:
Future value = [tex]Principal * (1 + Interest rate)^N^u^m^b^e^r ^o^f^ y^e^a^r^s[/tex]
Interest earned = Future value - Principal
Substituting the known values into the formulas, we get:
Future value =[tex]$8706.54 * (1 + 0.06)^8 = $13876.90[/tex]
Interest earned = $13876.90 - $8706.54 = $5170.36
Therefore, the future value of the investment is $13876.90 and the interest earned is $5170.36.
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Would a theme park with expansive ticket prices be a good place for a field trip?
Determine whether each question may be
biased explain.
You’ll get 15 points.
this question is unclear
Solve by factoring 25x^2+1=10
Answer:
x = 3/5, -3/5
Step-by-step explanation:
Answer:
x = ± [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given
25x² + 1 = 10 ← subtract 10 from both sides
25x² - 9 = 0 ← in standard form
note that 25x² - 9 is a difference of squares and factors as
(5x - 3)(5x + 3) = 0
Equate each factor to zero and solve for x
5x - 3 = 0 ⇒ 5x = 3 ⇒ x = [tex]\frac{3}{5}[/tex]
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex]
What are the steps to find (2+2i)(5+3i)?
Answer:
Step-by-step explanation:
(2+2i)(5+3i)
(2)5+(2)3i=10+6i
(2i)5+(2i)3i=10i+6i^2
10+6i+10i+6i^2
6i^2+6i+10i+10
6i^2+16i+10
To find the product of (2+2i)(5+3i), apply the distributive property to multiply each part. The result is 10 (real*real), 6i (real*imaginary), 10i (imaginary*real), and -6 (imaginary*imaginary, since i^2=-1), which are summed to give 4 + 16i.
Explanation:The product of two complex numbers, such as (2+2i)(5+3i), can be found by using the distributive property (also known as foil - first, outer, inner, laters). In this case:
First, multiply the real parts: 2*5 = 10. Second, multiply the outer parts: 2*3i = 6i. Then, multiply the inner parts: 2i*5 = 10i. Lastly, multiply the imaginary parts: 2i * 3i = 6i^2. But, since i^2 = -1, this becomes -6.
Sum these results together: 10 + 6i + 10i - 6. Thus, (2+2i)(5+3i)= 4 + 16i.
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What is the factores form of x^12y^18+1
Answer:
factors of [tex] x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
Step-by-step explanation:
We need to find factors of [tex]x^{12}y^{18}+1 can\,\,be\,\, written\,\, as\,\,\\(x^2y^3)^6 + 1\\It\,\, can\,\, be\,\, further\,\, written\,\, as\\((x^2y^3)^2)^3 +1\\Using\,\, the\,\, formula\,\, a^3+b^3 = (a+b)(a^2-ab+b^2)\\Here \,\, a = (x^2y^3)^2 and y = 1\\((x^2y^3)^2)^3 +(1)^3= ((x^2y^3)^2+1) (((x^2y^3)^2)^2 -(x^2y^3)^2 +1)\\= (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
So, factors of [tex] x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)[/tex]
HELP *EASY* What is the area of a trapezoid if the bottom of the trapezoid is 12cm, the top of the trapezoid is 9cm, and the height of the trapezoid is 3.5cm?
Answer:
A = 36.75 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h
where b1 and b2 are the bases and h is the height
A = 1/2 (12+9) *3.5
A = 1/2(21)*3.5
A = 36.75 cm^2
How can I show that 0.2 is greater than 0.18
Answer:
Step-by-step explanation:
By showing that 0.20 is greater than 0.18 by doing 0.20-0.18 which gives a positive 0.02, thich means that its greater.
0.2 is greater than 0.18.
What inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have to Compare 0.2 and 0.18.
First we have two digits in 0.18 after decimal.
Then, make 0.2 with two digits after decimal as 0.20.
Now, compare the after decimal value
20 > 18
So, 0.2 is greater than 0.18.
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Find the value of y. Cos 21=9/y
y=9.64
—————
cos21=9/y
Cross Multiply
ycos21=9
Divide both sides by cos21 to isolate y
9/cos21 = 9.640304943
y=9.64
I just need 23 please
Answer:
The answer is D
Answer:
The answer is A
What is the value of x?
Answer:
x = 127°
Step-by-step explanation:
We are given a polygon which has six sides but all the sides and angles are not equal so it is an irregular hexagon.
We know that the sum of the measures of the interior angles of a polygon with n sides is given by: [tex](n-2)\times180[/tex].
[tex](6-2)\times180 = 112+133+128+100+120+x[/tex]
[tex] 7 2 0 = 5 9 3 + x [/tex]
[tex] x = 7 2 0 - 5 9 3 [/tex]
x = 127°
plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.
41.2 in.
35.7 in.
Answer:
X = 20.6 inches
Step-by-step explanation:
Pythagorean Theorem: [tex]A^{2} =B^{2} +C^{2}[/tex]
A = 41.2 in, while B = 35.7 in and we are solving for C.
[tex]41.2^{2} = 35.7^{2} +C^{2}[/tex]
[tex]1697.44 = 1274.49 + C^{2}[/tex]
Now solve for C
[tex]422.95 = C^{2}[/tex]
Take the square root
[tex]20.5657482237 = C[/tex]
graph of which exponential function passes through the points (0,4) and (1,24)?
Answer:
see explanation
Step-by-step explanation:
The exponential function is of the form
y = a [tex]b^{x}[/tex]
Substitute the given points into the equation to find a and b
Using (0, 4), then
4 = a[tex]b^{0}[/tex] ⇒ a = 4
Using (1, 24), then
24 = 4 [tex]b^{1}[/tex] ⇒ b = 6
Exponential function is
y = 4 × [tex]6^{x}[/tex]
The equation of the exponential function that passes through the points (0,4) and (1,24) is y = 4(6)^x.
Explanation:To find the equation of the exponential function that passes through the points (0,4) and (1,24), we can use the general form of an exponential function: y = ab^x, where a is the initial value and b is the growth/decay factor.
Using the point (0,4), we plug in x=0 and y=4 to get the equation 4 = ab^0, which simplifies to a = 4.
Using the point (1,24), we plug in x=1, y=24, and a=4 to get the equation 24 = 4b^1, which simplifies to b = 6.
Therefore, the equation of the exponential function is y = 4(6)^x.
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What is the explicit formula for this geometric sequence 64, 16, 4, 1
Answer:
a(n) = 64 * (1/4)^(n-1)
Step-by-step explanation:
64/16 = 4
16/4 = 4
and so on
so r = 1/4
Geometric sequence:
a(n) = a1 r^(n-1)
a(n) = 64 * (1/4)^(n-1)
Final answer:
The explicit formula for the geometric sequence 64, 16, 4, 1 is an = 64 times (1/4)(n-1), where 'an' is the nth term of the sequence.
Explanation:
The explicit formula for a geometric sequence is given by an = a1 times r(n-1), where a1 is the first term and r is the common ratio. To find the explicit formula for the geometric sequence 64, 16, 4, 1, we need to firstly identify the common ratio r. We can find this by dividing any term by the previous term, so r = 16 / 64 = 1 / 4. The first term a1 is 64. Thus, the explicit formula for the given sequence would be an = 64 times (1/4)(n-1).
A group of friends went to play minigolf at Adventureland. Anna's score was 262 putts, Daniela's score was 313 putts, Luiza's score was 393 putts, and Vera's score was 323 putts. Find the mean absolute deviation (MAD) of the data set.
Answer:
35.25
Step-by-step explanation:
There are 4 data:
262, 313, 393, and 323
The formula for MAD (mean absolute deviation) = [tex]\frac{SUM(|x_{i}-XBar|)}{n}[/tex]
Where x_i are the each individual values (stated)
XBar is the average value
n is the number of data
First, let's find XBar, or the average. We add up all the 4 numbers and divide by 4 to get:
XBar = (262+313+393+323)/4=322.75
Now, let's calculate MAD:
MAD = [tex]\frac{|262-322.75|+|313-322.75|+|393-322.75|+|323-322.75|}{4}\\=35.25[/tex]
MAD = 35.25
Answer:
31.5
Step-by-step explanation:
If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?
A) 3π cm
B) 6π cm
C)
9/4
π cm
D)
9/2
π cm
Answer: option B
Step-by-step explanation:
The circumference of a circle can be calculated with this formula:
[tex]C=2\pi r[/tex]
Where "C" is the circumference of the circle and "r" is the radius of the circle.
The area of a circle can be calculated with:
[tex]A=\pi r^2[/tex]
Where "r" is the radius.
Knowing the area, you can solve for the radius:
[tex]r^2=\frac{9\pi cm^2}{\pi }\\\\r=\sqrt{\frac{9\pi cm^2}{\pi } }\\\\r=3cm[/tex]
Substituting into [tex]C=2\pi r[/tex], you get that the circumference of this circle is:
[tex]C=2\pi (3cm)=6\pi\ cm[/tex]
Answer:
B
Step-by-step explanation:
The area (A) of a circle = πr² ← r is the radius
here A = 9π, hence
πr² = 9π ( divide both sides by π )
r² = [tex]\frac{9\pi }{\pi }[/tex] = 9
r = [tex]\sqrt{9}[/tex] = 3
The circumference (C) of a circle is C = 2πr, hence
C = 2π × 3 = 6π → B
Which lists all of the y-intercepts of the continuous function in the table?
A (0,0)
B (-1,0), (2,0)
C (-1,0), (0, 0)
D (-1,0), (0, 0), (2,0)
Answer:
A (0,0)
Step-by-step explanation:
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Option A is correct.
Answer:
A trust
Step-by-step explanation: