Answer:
15
Step-by-step explanation:
let y = f(x)
substitute x = 0
y = 4(0)^3-12(0)^2-(0)+15 = 15
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
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]
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In a bar graph space between rectangles is always
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.
what is -10 - 2g = -2(3g - 1) + 4
How i can answer this question
Answer:
6x
Step-by-step explanation:
7x-x = x ( 7-1) = 6x
Answer:
6 x
Step-by-step explanation:
Subtract x from 7 x .
PLEASE HELP
Solve for x
Answer:
you get 32
Step-by-step explanation:
The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?
Part A: Draw the pond and label what you know from the problem above.
Part B: What is the diameter of the pond?
Part C: How many seconds does it take the boat to get to the other side of the pond?
Step-by-step explanation:
See the photo let me know if you have a question
Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.
It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.
Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.Learn more about mathematics on:
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what is the value of the expression 5 + 6 x (5 - 2) + 9
Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?
Answer:
SSS, SAS, ASA, AAS, HL
Step-by-step explanation:
1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.
2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.
4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.
5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.
Because it is a rectangle, the sides are equal, and they share the same hypotenuse.
HELP ASAP PLEASEEEEEEEEEEE HELP MEEE
Answer:
5x 24 = 120 pulus degreece so that = a 120 digree angle
Step-by-step explanation:
what is the probability
Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?
Answer:
2/9.
Step-by-step explanation:
There are 2 multiples of 4 in the 9 cards, 4 itself and 8.
So the required Probability is 2/9.
Is the converse of the statement valid?
If a is odd, then a + 7 is even.
Yes. If a + 7 is even, then a is odd.
Yes. If a is odd, then a + 7 is odd.
No. If a is even, then a + 7 is odd.
No. If a + 7 is odd, then a is even.
The converse of the statement is valid
Yes. If a + 7 is even, then a is odd.
The converse of a statement is gotten by switching the hypothesis and the conclusion.
In the statement:
If a is odd, then a + 7 is even.
The hypothesis = a is odd
The conclusion = a + 7 is even
The converse of the statement will be:
If a + 7 is even, then a is odd.
The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd
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33 + 55 = __ (3+5)
Help me with this
Answer:
11 I think and hi how are u ::):):):):):):):):):):):):):
PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM
Answer:
3/5y
Step-by-step explanation:
6y/35 ÷10y^2/7
to solve this you do reciprocal of 10y^2/7
then;
6y/35 x 7/10y^2
solving this
3/5y
Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.
Answer:
6,174
Step-by-step explanation:
in total we have 20,160 rand.
3/10 of that is = 6048.
6048 rand is euros.
we now have a remaining 14,112 rand.
the rest of the rands is split up into 9:5:2
to find out how much one part equals we add 9, 5 and 2 together.
9 + 5 + 2 = 16.
We then divide the remaining 14,112 rand by 16 to find out one part.
14,112 / 16 = 882.
1 part = 882.
(dollars) 9 parts = 882 x 9 = 7,938 rand
(rupees) 5 parts = 882 x 5 = 4,410 rand
(francs) 2 parts = 882 x 2 = 1,764 rand
to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.
7, 938 - 1,764 = 6,174
Pieter changed 6,174 more rands into dollars than francs.
Hope this helped :)
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
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which system of equations cannot be readily solved by the substitution method 6x+12y=11
Answer:
Step-by-step explanation:
well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.
Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?
Answer:
40
Step-by-step explanation:
16/40×100
= 1600/40
= 160/40
= 40
у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?
Answer:
$26.32
Step-by-step explanation:
0.94x28 = 26.32
(Meeting character limit)
Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?
Answer:
i may need more info on the temperature or do you have to find out
Step-by-step explanation:
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False
Answer:
True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.
Step-by-step explanation:
[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]
look at the graph. which equation represents the graph?
Negative 4,200 divided by 300
Answer:
-14
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
URGENT NEED HELP ASAP
Answer:
1/4
Step-by-step explanation:
We know two points on the line so we can use the slope formula
(0,6) and (8,8)
m = ( y2-y1)/(x2-x1)
= (8-6)/(8-0)
= 2/8
= 1/4
Answer:
1/4
Step-by-step explanation:
slope=rise/run=1/4
IF YOU KNOW IT ANSWER IT!!!! I ONLY HAVE 4 MINUTES
Answer:
A, the first one.
Step-by-step explanation:
Please rate 5 stars and add thanks. Goodluck on the rest
Therefore, Option A is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43°
Step-by-step explanation:
Answer:
A- 43
Step-by-step explanation:
ed2022
Please help me with this!!! I will mark brainlist!!!
Answer: The value of Angle F = 47
Step-by-step explanation: