Answer:
The answer is False.
Given: f(x) = X2 - 3 and g(x)= x+1 The composite function g.f is
a) x² + 2x - 2
b) x² + 2x
c) x² - 2
Answer:
option (c)
Step-by-step explanation:
g.f= g(f(x))
= g(x2 -3)
= (x2 -3)+1
=x2 -2
The composite function g.f is option c) x² - 2.
What are composite functions?Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
Given: f(x) = x² - 3 and g(x)= x+1
The composite of the function;
g.f= g(f(x))
= g(x²-3)
= (x² -3)+1
= x² -2
Thus, The composite function g.f is option c) x² - 2.
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A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!!
Answer:
A =189 cm^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh where b is the base and h is the height
A = 9 * 21
A =189 cm^2
Explain how I would rewrite 3^5 * 3^-4 as a base an exponent
Answer:
3^1 or 3
3^5 * 3^-4 are 3^5-4
so, 3^1!
Hope it helps!
Answer:
3^1
Step-by-step explanation:
Since the bases are the same and we are multiplying we can add the exponents
a^b * a^c = a^(b+c)
3^5 * 3^-4
3^ (5+-4)
3^1
How many digits of pi does it take to add up to 14, 25, 68, 103, and 150? I am being timed, whoever answers this fast or quick I will give you the brainiest!!!
PLEASE HELP QUICK
Answer:
The first 5 digits help you get 14 (well a little over but still)
The first 7 digits get you 25
The first 14 = 68
The first 21 = 103
the first 31 = 150
Hope this helps!
The number of digits of π that it requires to make up the numbers 14, 25, 68, 103, and 150 would be:
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
What is pi?Pi is described as the constant that is irrational, as well as, an ethereal constant derived from the Greek alphabet.
As per the question,
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
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Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.
Answer:
B, D
Step-by-step explanation:
If you're going to make claims about the graph, it is helpful to see a graph (attached).
A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.
B) The vertex is (-3, -13). True
C) The axis of symmetry is x = -3, not the one given.
D) The graph increases for x > -3. True
E) The function crosses the x-axis at about x=-6.6 and x=0.6.
A function assigns the values. The statements that are true about the given function are B and D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Here, we have,
To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.
A.) The vertex form of the function is f(x)=(x-2)²+2.
To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².
Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².
B.) The vertex of the function is (-3, -13).
As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.
C.) The axis of symmetry for the function is x = 3.
As the vertex is at -3, therefore, the function symmetry will be about x=-3.
Hence, the given statement is false.
D.) The graph increases over the interval (-3).
The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).
E.) The function does not cross the x-axis.
It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.
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the graph of y=f(x) is shown below. find all the values of x where f(x)=1
When you substitute the value of x = 3, you get f(x) = 1.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Here the given graph of y = f(x) is shown.
When you substitute the value of x = 3, you get f(x) = 1.
Hence, you can get f(x) = 1 by substituting the value of x = 3
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Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answer: The answer is c
Step-by-step explanation:
Choose a system of equations with the same solution as the following system
Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition
Answer:
C
Step-by-step explanation:
It is c because you are adding. the 6 and o.
Answer:
Would be C.
Step-by-step explanation:
Just adding the 6 and the 0 basically.
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.
Answer:
5cm
Step-by-step explanation:
50cm x 20cm x 8cm = 8000cm^3
25cm x 64cm = 1600cm^2
1600x=8000
x=5cm
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
What does y equal -3=15+4y
Answer:
-3 = 15+4y
4y = 12
y = 3.......
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
15, 5, 45, 10
Step-by-step explanation:
2 minutes for 10 photos
1 minute for 5 photos
now:
2×5=10
3×5=15
25÷5=5
9×5=45
50÷5=10
On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi
Answer:
i think the answer is a. 25
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
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The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about
healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US
Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in
the state of Virginia.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you
think these estimates are close to the truth about the entire population? Explain. (6 points)
Answer:
Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.
Part B: No
Step-by-step explanation:
Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.
Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.
The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.
Step-by-step explanation:
The slope of any linear equation is always rise over run.
Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is
[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so [tex]\frac{1}{8}[/tex] is the slope.
To find the percent grade, we find the decimal version of [tex]\frac{1}{8}[/tex] and multiply by 100.
[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]
Hope this helped!
Answer:
Slope = 1/8
Grade = 12.5%
Step-by-step explanation:
Hey there!
Well if the rise/run is 8/64
then the slope is 8/64,
8/64
simplified
1/8 is the slope
The decimal grade is 1/8 as a percent so,
1 ÷ 8 = .125
Move the decimal place 2 times to the right,
12.5% is the decimal grade
Hope this helps :)
Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
You can choose from the following 15, 16, 24, -88, 75, -62, 151, 88, 1, 30, -5 Also thank you in advance I don't know why I don't get this one so please explain if possible!
Answer:
-88
Step-by-step explanation:
whoever deleted my answer thanks a lot
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?
A. 204
B. 17
Answer:
So.. I believe the answer is 17
Step-by-step explanation:
In order to get your answer, you would first multiply 38*12 which is 456
Then you would get that number (456) and divide it by 7,752
So 7,752/456 is 17
m∠1=36°, m∠4=49°, m∠6=131°. Find m∠9. A. 144 B. 242 C. 216 D. 36
Answer:
<9 =144
Step-by-step explanation:
<1 + <4 + < 6 + <9 = 360
36+ 49+ 131 + <9 = 360
216 + < 9 = 360
< 9 = 360-216
<9 =144
Answer:
A. 144
Step-by-step explanation:
Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.
Angles 1 and 9 are a linear pair, so they are supplementary.
m<9 + m<1 = 180
m<9 + 36 = 180
m<9 = 144
Someone pls help me i forgot how to do this . Thank you sm !!
Answer:
1.x=-5 2.t=1/2 3.x=20
Step-by-step explanation:
all simple algebra first and second is simple subtraction
the third involves division as well
Answer:
Here are the answers:
1) -5
2) 1/2
3) 20
Hope I helped)))
Pls mark brainliest
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is correct and can be used to solve for the value of z? StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction
Answer:
[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]
Step-by-step explanation:
The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:
[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]
Answer:
A
Step-by-step explanation:
Edg 2020
use the tables below to find (p-q)(2)
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex](p-q)(2)[/tex]
[tex]p(2)-q(2)[/tex]
[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]
[tex](3)-(-2)[/tex]
[tex]3+2=5[/tex]
Which data set could be represented by the box plot shown below?
Answer:
Step-by-step explanation:22
what is -4 as a fraction
Answer:
-4/1
Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.
Find x: 50*5x=5000
A) 25
B) 20
C) 50
D) 75
Answer:
[tex]\huge\boxed{B) x = 20}[/tex]
Step-by-step explanation:
50 * 5x = 5000
Dividing both sides by 50
=> 5x = 5000/50
=> 5x = 100
Dividing both sides by 5
=> x = 20
Answer:
the answer is B
Step-by-step explanation:
X: (x)50=20
Which data set could be represented by the box plot shown below?
Answer:
16
Step-by-step explanation:
