h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Composite functions
Given the following fnctions
[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]
The composite function g(f(x)) is expressed as:
[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Learn more on composite function here: https://brainly.com/question/10687170
how do you write 8.16 × 101 in standard form?
please help me asap
ty :)
Answer:
y = -1/7x + 1
Step-by-step explanation:
Subtract 3x both sides
21y = 21 - 3x
Divide by 21 both sides
y = 1 - 1/7x
y = -1/7x + 1
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation:
Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour
Answer:
1 hour = $9.2
Step-by-step explanation:
The question says that:
Brody makes $78.20 in 8.5 hours.
So,
8.5 hours = $78.20
We need to find 1 hour pay.
So, divide both sides of the above equation by 8.5
8.5 / 8.5 hours = $78.20 / 8.5
1 hour = $9.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Smallest Positive fraction
Answer: 1/5?
Step-by-step explanation:
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?
Answer:
3750
Step-by-step explanation:
2250/45=50
50x75=3750
1. Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup. How much did
Nathan sell the bike for?
Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.
So, the markup price, we get
30% of $230
= 30/100 x 230
= 3 x 23
= 69
Total selling price = 230 + 69
= 299
Thus, Nathan sells the bike for $299.
Learn more about percentages;
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The figure below shows the number of dots in each of the first four terms of a pattern.
image 3946d177031641899e8a9055b29f185e
Which of these can be used to determine
N
, the number of dots, given
t
, the number of the term in the pattern?
N
=
4
(
t
−
1
)
N = 4 ( t − 1 )
N
=
3
t
+
1
N = 3 t + 1
N
=
3
(
t
−
1
)
+
1
N = 3 ( t − 1 ) + 1
N
=
3
t
+
2
Answer:
there is nothing just a a codding log
Step-by-step explanation:
PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?
Answer:
5 : 1
Step-by-step explanation:
Selling price = 37.90
Cost price = 7.58
Selling price : cost price = 37.90 : 7.58
When simplifying, we can first check if one number is a factor of the other:
7.58 * 3 = 22.74
7.58 * 4 = 30.32
7.58 * 5 = 37.9
Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1
You are selling candy for $2 each and burgers for $5 each. You have a budget for $150. The equation for this situation can be written as 2x+5y=150
Find the x intercept and y intercept. Show all work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Learn more about algebraic expression on:
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Find the greatest common factor. 54,81
54: 1, 2, 3, 6, 9, 18, 27, and 54
81: 1, 3, 9, 27, and 81
if you have 6 apples and you give 2 apples to Ciara how many apples do you have? (hint you don't have friends)
Answer:
4
Step-by-step explanation:
6 - 2 = 4
Answer:
4
Step-by-step explanation:
Ciara is not my friend but she's my sister
What is the value of x?
We know that the triangle is an isosceles triangle because the base angles are the same.
=> 4x - 1 = x + 5=> 4x - x = 1 + 5=> 3x = 6=> x = 6/3 = 2Conclusion:Therefore, the answer is 'x = 2'
Hoped this helped.
[tex]BrainiacUser1357[/tex]
this is for 8th grade pls answer .
Step-by-step explanation:
We have that
[tex](x + \frac{1}{x} ) {}^{2} = 3[/tex]
We are trying to find the number value so that we can apply in the later equation.
Qe first simplify.
Remeber that
[tex](a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} [/tex]
Also remeber that
[tex] \frac{1}{x} = {x}^{ - 1} [/tex]
so
[tex](x + x {}^{ - 1} ) {}^{2} = {x}^{2} + 2x {}^{0} + {x}^{ - 2} = 3[/tex]
We then simply remeber that x^0=1 so
[tex] {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 3[/tex]
Multiply both sides by x^2.
[tex] {x}^{4} + 2 {x}^{2} + 1 = 3 {x}^{2} [/tex]
Subtract both sides by 3x^2
[tex] {x}^{4} - {x}^{2} + 1 = 0[/tex]
Notice that x^4= (x^2)^2.
So our reformed equation is
[tex]( {x}^{2} ) {}^{2} - {x}^{2} + 1 = 0[/tex]
Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.
[tex]w {}^{2} - w + 1 = 0[/tex]
Now we use the quadratic formula
[tex] w = \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
and
[tex]w = - b - \frac { \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
Let a=1 b=-1 and c=1.
[tex]w = \frac{1 + \sqrt{1 - 4(1)} }{2} [/tex]
[tex]w = \frac{1 - \sqrt{1 - 4} }{2} [/tex]
Now, we get
[tex]w = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex]w = \frac{1}{2} - \frac{ i\sqrt{3} }{2} [/tex]
Now since we set both of these to the x^2 we solve for x.
and
[tex] {x}^{2} = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex] {x}^{2} = \frac{1}{2} - \frac{i \sqrt{3} }{2} [/tex]
We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is
[tex] {x}^{2} = 1( \cos(60) + i \: \sin(60) [/tex]
and
[tex] {x}^{2} = 1( \cos(300) + i \: sin(300))[/tex]
Next we take the sqr root of 1 which is 1, and divide the degree by two.
[tex] {x} = 1( \cos(30) + i \: sin \: 30)[/tex]
and
[tex]x = 1( \cos(150) + i \: sin(150)[/tex]
We are asked for the 2nd root so just add 180 degrees to this and we have
[tex]x = 1 \cos(210) + i \: sin \: 210)[/tex]
and
[tex]x = 1( \cos(330) + i \: sin(330)[/tex]
which both simplified to
[tex]x = - \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
and
[tex]x = \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
Now we must find
x^18+x^12+x^6+1.
We just use demovire Theorem. Which is a complex number raised to the nth root is
[tex] {r}^{n} (cos(nx) + i \: sin(nx)[/tex]
So let plug in our first root.
[tex]1( \cos(330 \times 18)) + i \: sin \: (330 \times 18))) + 1( \cos(12 \times 330)) + i \: sin(12 \times 330) + 1( \cos(6 \times 330) + i \: sin(6 \times 330))) + 1[/tex]
To save time we multiply the angle and use rules of terminals angle and we get
[tex]1( \cos(180) + i \sin(180) ) + 1( \cos(0) + i \: sin \:( 0) + 1( \cos(180) + i \: sin(180) + 1[/tex]
And we get
[tex] - 1 + 1 + - 1 + 1 = 0[/tex]
So one of the answer is x=0
And the other, let see
[tex]1 \cos(210 \times 18) + i \: \sin(210 \times 18) + 1 \: cos(210 \times 12) + i \: sin(210 \times 12) + 1 \cos(210 \times 6) + \:i sin(210 \times 6) + 1[/tex]
[tex] \cos(180) + i \: sin(180) + 1 \cos(0) + i\sin(0) +1( \cos(0) + i \sin(0) + 1[/tex]
We get
[tex] - 1 + 1 + 1 + 1 = 2[/tex]
So our answer are 2.
So the answer to the second part is
0 and 2.
NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.
A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
what the first 3 prime numbers greater than 12
The diameter of a circle is 8 mm. What is the circumference of the circle?
Answer:
C=22÷7×8
=3.14×8
=25.12
Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.
Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.
A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?
Answer:
Above is the answer, coupled with a detailed step-by-step explanation. Thank you!
What’s the figure name
Answer:
Line GH or Line HG
Step-by-step explanation:
Hope it help !!
Answer:
line segmentStep-by-step explanation:
a point to a point which makes a straight line is called a line segment
Find the value of y.
The value of the variable 'y' will be square root 21 that is √21.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,
y / 3 = 7 / y
Simplify the equation, then we have
y / 3 = 7 / y
y² = 21
y = √21
The value of the variable 'y' will be square root 21 that is √21.
More about the triangle link is given below.
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The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?
Answer:
31
Step-by-step explanation:
FOR BRAINLIEST
А is equivalent to 0.001 grams.
milligram
kilogram
decigram
Answer:
one milligram
Step-by-step explanation:
Answer:
milligram
Step-by-step explanation:
1,000 mg = 1 g
1 mg = .001 g
Please help, I will mark brainliest :)
Answer:
Its A $0.50 per mile
Step-by-step explanation:
A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?
Step-by-step explanation:
30/4 = 7.5 per hour
now,
7.5 × 19 = 142.5
$142.5
Answer:
$142.50
Step-by-step explanation:
30 divide by 4 = 7.5
So each hour the worker would earn $7.50
7.5 x 19= The worker will earn 142.50 after working 19 hours.
Can someone help me with this?
Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
(a)
(f(4) - f(-6)) / (4 - -6) = (3 - 1) / (4 + 6) = 2 / 10 = 1/5
(b)
(f(2) - f(-2)) / (2 - -2) = (-1 - -3) / (2 + 2) = (-1 + 3) / 4 = 2/4 = 1/2
What is the distance from 5,1 and 2,1
Answer:
2.0
Step-by-step explanation:
This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).
Distance means subtraction. Between means to 5.1 and 3.1 .
So 5.1 - 3.1 = 2.0