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
For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?
Answer:
S=13, read pictures below
Step-by-step explanation:
please help me with this problem
Answer:
v=32
Step-by-step explanation:
23-15=8x4=32
32/4+15=23
Please help me solve this problem ASAP
Answer:
∠ = 130°
Step-by-step explanation:
They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.
15x -5 = 13x + 13
5 + 15x - 5 = 13x + 13 + 5
13x - 15x = 13x + 18 - 13x
2 ÷ 2x = 18 ÷ 2
x = 9
Now you must put 9 in for x to solve the measurement of the angles.
15 (9) - 5 = 130°
13(9) + 13 = 130°
Both angles equal 130°, so you know you've done the math correctly.
I need help on this question
No links!
Answer:
>
Step-by-step explanation:
> means greater than and because 79 is greater than -5, the correct sign you would use will be >
79 > -5
Item 2
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Answer:
The baker needs six trays to display 54 muffins
Step-by-step explanation:
72/8 = 9
9 x ? =
56
9 x 6 = 56
Answer:
6
Step-by-step explanation:
Muffins displayed in 8 identical trays = 72
Muffins displayed in 1 identical tray = 72/8 = 9
Tray required to display 54 muffins = 54/9 = 6
Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?
The market is selling a box of strawberries containing 2 cups
How many boxes does Layla need? Answer in decimal form
She needs 1 box of strawberries
She needs 2 cups of strawberries total
15 POINTS HELP PLZ
Which expression is equal to f(x) - g(x)?
Answer:
B) x^3-x^2-8x-2
Step-by-step explanation:
Expand the equation of g(x) to standard form
f(x) = x^3-4x+2
g(x) = x^2-4x+4
Subtract like terms in the equation and solve for the answer.
f(x) - g(x) = x^3-x^2-4x-4x+2-4
x^3-x^2-8x-2
is -54 colder than -127
Answer:
-127 is colder
Step-by-step explanation:
-54 is closer to 0 than -127 so -127 is colder
They are both negatives BUT! -127 is greater than -54 and the 0 is the begginging of frezing point
geometry word problem:
The area of a square is four times the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
(A) 1 : 4
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2
(E) 2 : 3
The ratio of the height of the triangle to the side of the square (B) 1 : 2
What are the areas of triangle and square?The area of a triangle is (1/2)×base×height.
The area of a square is (side)².
Given, The area of a square is four times the area of a triangle.
∴ (side)² = 4{(1/2)×base×height}.
The base of the triangle and the side of the square are equal let this be 'a'.
∴ a² = 4(1/2)×a×height.
a = 2×height.
a = 2h.
learn more about squares here :
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#SPJ2
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
given: 4x=12x+32 prove: =-4
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
True, see attached photo, if this helped you please give Brainliest
Step-by-step explanation:
math question help plsss
what is the answer?
Answer:
1x+-8(-4)=b
Step-by-step explanation:
Hello da 234234r32 ef3qew3e2wr3qefwasdwasd
Find the distance between the origin and (-12,-9)
Answer:
Distance (d) = 15
Step-by-step explanation:
The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
Let (x₁, y₁) = (0, 0)
(x₂, y₂) = (-12, 9)
Substitute these values into the distance formula.
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]
Perform the required subtraction within each parenthesis:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]
Next, take the squared values of -12 and 9 under the radical:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]
Add 144 and 81:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]
Distance (d) = 15
Answer:Therefore, the distance between the point of origin and (-12, 9) is 15.
In \triangle KLM,△KLM, \overline{KL}\cong \overline{MK} KL ≅ MK and \text{m}\angle M = 43^{\circ}.m∠M=43 ∘ . Find \text{m}\angle L.m∠L.
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
Recall:
An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠L = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°
Learn more about isosceles triangle on:
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Which graph represents a function???
Answer:
C
Step-by-step explanation:
C is the only graph that passes the vertical line test.
Answer:
c
Step-by-step explanation:
The line doesn't cross eachother
samuel goes to a store and buys an item that costs x dollars. he has a coupon for 15% off, and then a 6% tax is added to the discounted price. write an expression in terms of x that represents the total amount that samuel paid at the register.
Answer:
I think you might be able to work with this: 0.15 * x - x + x * 0.06
Step-by-step explanation:
The item's cost is X.
So he has a coupon for 15%, so the cost of the item times 0.15 = how much he's getting as a discount, for example: A toy robot costs 13.46, Jenny has a coupon for 25% off, to find out how much she paid, multiply 0.25 by 13.46 which equals about 3.37, so 13.46 - 3.37 = 10.09
So 0.15 (the coupon price) * x (the item's original price) - x (the items orignal price) + x * 0.06 (the sales tax)
Comment if you need any help T^T
How many Centimeters?
22
23
24
25
26
27
28
29
30
31
Answer:
10
Step-by-step explanation:
Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS
Simplify the expression 4(2x−8y) + 3y
Answer:
8x-29y Sorry if wrong!
Step-by-step explanation:
You have to distribute first and then combine like terms.
Answer:
8x-29y
Step-by-step explanation:
You have to distribute first and then combine like terms.
And that is where you get your answer.
Hope this helps.
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
Help me help help helppppppppppp
Answer:
61.2$
Step-by-step explanation:
I think that's how it's done.
Find the measure of 44.
23/24
147/33°
339/147
4.4 = [?]
Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)
Using the mean concept, it is found that the inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is:
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
There are 4 observations.They are: 240, 310, 320 and x.Hence, the mean is:
[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]
His goal is to bicycle an average of at least 280 miles per week for 4 weeks, hence:
[tex]M \geq 280[/tex]
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786
Help PLEASE!!! I really need it I really do please anyone
Answer:
5. alternate interior angles
7. angle addition postulate
Is y=12x proportional?
Answer:
yes, this line will pass through the point of origin
Step-by-step explanation:
angle A coincides with angle E
Answer:
Nah fam its the other way round.... bru h whats ur question
Step-by-step explanation:
Answer:
It coincides by both being congruent
Step-by-step explanation:
Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height
Answer: 90%
135/150 * 100
45*2
90
In simplest form …..
Answer:
2[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]
[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex] Prime factorization.
[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex] Simplify the radical.
2[tex]\sqrt[3]{2}[/tex] Subtract.