Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]
[tex]\qquad \tt \rightarrow \:Range :\:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]
[tex]\qquad \tt \rightarrow \: range : \:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Related Questions
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 25, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Which equation produces the values in the table?
y = 4x
y = 4 + x
y = One-fourthx
y = 4 – x
Answers
The equation of the line will be y = 4x. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Then at (2, 8) and (3, 12), we have
y – 8 = [(12 – 8) / (3 – 2)] (x – 2)
y – 8 = 4x – 8
y = 4x
Then the correct option is A.
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help this homework and it geometry
Answers
1) Given
2) Segment addition postulate
3) Substitution property
4) Segment addition postulate
5) Transitive property of equality
4. The term containing the highest power of x in the polynomial f(x) is 4x^4. Given that f(x) = 0
has 2 roots -2 and 3, and that 2x² + 3x + 2 is a quadratic factor of f(x),
(a) express f(x) as a polynomial in descending powers of x,
Answers
We're given [tex]f(x) = 0[/tex] when [tex]x=-2[/tex] and [tex]x=3[/tex], so both [tex]x+2[/tex] and [tex]x-3[/tex] divide [tex]f(x)[/tex]
We're also told [tex]2x^2+3x+2[/tex] divides [tex]f(x)[/tex]. This quadratic does not have roots at -2 or 3, so we can factorize [tex]f(x)[/tex] as
[tex]f(x) = 2 (x + 2) (x - 3) (2x^2 + 3x + 2)[/tex]
where the leading coefficient is 2 because the full expansion should have a leading term of [tex]4x^4[/tex].
Now just expand [tex]f(x)[/tex] :
[tex]f(x) = 2 (x + 2) (x - 3) (2x^2 + 3x + 2)[/tex]
[tex]f(x) = 2 (x^2 - x - 6) (2x^2 + 3x + 2)[/tex]
[tex]f(x) = 2 (2x^4 + x^3 - 13x^2 - 20x - 12)[/tex]
[tex]f(x) = \boxed{4x^4 + 2x^3 - 26x^2 - 40x - 24}[/tex]
PLEASE HELP QUICKLY!!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!!
Answers
Answer:
i think is the third one
In the figure below, what is the value of x°?
Answers
Answer:
1
Step-by-step explanation:
x to the zeroth power is always 1
Answer:
Step-by-step explanation:
90 - 20 = 70
So now do 5 times x and that's also equal to 70
70.x =11
A football team carried out a report to see the impact of stretching on preventing injury. Of the 45 footballers in the squad 36 stretch regularly. Of those who stretch, 6 got injured last year. There was a total of 10 injured players last year.
The results can be presented in a frequency tree. What fraction of players who don't stretch get injured?
Answers
The fraction of players who don't stretch and get injured = 4/9.
The frequency tree is shown in the image attached.
The total number of footballers = 45.
The total number of footballers who stretch = 36.
Therefore, the number of footballers who don't stretch = 45 - 36 = 9.
The total number of injured footballers = 10.
The number of injured footballers from the players who stretch = 6.
Therefore, the number of injured footballers from the footballers who don't stretch = 10 - 6 = 4.
The total number of footballers who don't get injured = 45 - 10 = 35.
The number of footballers who stretch and don't get injured = 36 - 6 = 30.
The number of footballers who don't stretch and don't get injured = 9 - 4 = 5.
Therefore, the frequency tree can be shown in the image attached.
The fraction of players who don't stretch and get injured = 4/9.
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2*2+2+2+2+2+2+2+22+2+22+2222+222+22+22+222+22+22
Answers
Answer:
Step-by-step explanation:
2,816 lol
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work.
I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.
What was Mara’s error?
Mara did not substitute the values from the problem into the formula correctly.
Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.
Answers
The error that Maria made is that she did not divide correctly.
What error did Maria make?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = principal x time x interest rate
2666 = 4300 x 0.062 x t
2666 = 266.60t
t = 2666 / 266.60
t = 10 years
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maths uhhhhhhh?????????????????????????????
Answers
Answer: 68.852459016393 or 68.9 if you round up
Step-by-step explanation:
If you add all the students subjects together you get a total of 41. Then if you add up the total of students who study physics, chemistry, and both you get 20. Then I put those numbers is a percentage calculator then boom you got your answer.
3% simple annual interest paid on $250
A 2-column table with 4 rows. Column 1 is labeled Year with entries 1, 2, 3, 4. Column 2 is labeled Total Interest Paid with entries question mark, 15 dollars, 22 dollars and 50 cents, question mark.
The simple interest earned in year 1 is calculated as
.
The simple interest earned in year 1 is
.
The total interest earned at the end of year 4 is
.
Answers
The simple interest earned in year 1 is 7.5. The simple interest earned in year 1 is $7.50. The total interest earned at the end of year 4 is $30.00
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, it is left for T years for that simple interest.
3% simple annual interest paid on $250
A 2-column table with 4 rows.
Column 1 is labeled Year with entries 1, 2, 3, 4.
Column 2 is labeled Total Interest Paid with an entries question mark, 15 dollars, 22 dollars, and 50 cents,
The simple interest earned in year 1 is calculated as
The first one is (0.03)(250) = 7.5
The simple interest earned in year 1 is
The second one is $7.50
The total interest earned at the end of year 4 is
The third one is $30.00
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Which of the following statements correctly describes this expression? 2x + 4
A. 4 less than 2 times a number
B. 2 times a number more than 4
C. The difference of 2x and 4
D. 4 times a number added to 2
Answers
Answer:
2 times a number more than 4
Answer:B
Step-by-step explanation:
On a number line, 1.84 would be located ______. Choose all answers that make a true statement.
1.84
《--|----|----|----|----|----|----|----|----|----|--》
A. between 1.74 and 1.94
B. to the left of 1.85
C. to the right of 1.83
D. between 1 and 2
Answers
Answer:
All answers are correct.
Step-by-step explanation:
A. 1.84 is between 1.74 and 1.84.
B. 1.84 < 1.85. Lower values go to the left.
C. 1.84 > 1.83. Higher values go to the right.
D. 1.84 is between 1.0 and 2.0.
Use the function f(x) = 4x² - 7x - 15 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
Answers
Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
Find the length of the missing side. Leave your answer in simplest radical form.
Answers
Answer:
[tex]\sqrt{69}[/tex]
Step-by-step explanation:
from the pythagorean theorem:
[tex]a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}[/tex]
Please explain the bottom two the ones with the explanation box
Answers
First we must solve the bottom situations.
___________________________________________ (2A and 2B)
First expression (2A): 2v+8.3+2v-6.1
⇒ Collect like terms
(2v + 2v) + (8.3 - 6.1)
⇒ Simplify
4b + 2.2
Second expression (2B): 3v+14.4-v
⇒ Collect like terms
(3v - v) + 14.4
⇒ Simplify
2v + 14.4
They are not equivalent because when simplified they both have different coefficients and constants each of different values.
_____________________________________________ (4A and 4B)
First expression (4A): 10 + 3 (1/3x + 2)
⇒ Simplify 1/3x to x/3.
10 + 3(x/3 + 2)
⇒ Expand by distributing terms.
10 + x + 6
⇒ Collect like terms.
x + (10 + 6)
⇒ Simplify.
x + 16
Second expression: x + 16
This expression can not be simplified any further. This is because it is a simplified version of another expression.
These expressions are equivalent because expression 4B is the simplified version of expression 4A.
______________________________________
Level: 7th Grade
Unit: Distributing and Combing Like Terms
What is the value of the blue dot?
Answers
Answer:
17
Step-by-step explanation:
Solution
The distance between each marker is 2. So going upwards 9+2 = 11
11 + 2 = 13
13 + 2 = 15 But we still have 1 more space to go.
15 + 2 = 17
Please help me!!!!!!
Answers
Answer:
It is an obtuse triangle I think because
What’s the answer here? Answer ASAP please.
Answers
Answer:
6
Step-by-step explanation:
f(6) is the y-value when x = 6
From inspection of the graph, f(6) = -6
g(5) is the y-value when x = 5
From inspection of the graph, g(5) = -5
Substitute the found values into the given equation:
4 · f(6) - 6 · g(5)
= 4 · (-6) - 6 · (-5)
= -24 - (-30)
= -24 + 30
= 6
What is the value of the expression 4 x (2a - 1) if a = 3?
16
20
23
25
Answers
Answer:
20
Step-by-step explanation:
⇒ Multiply 2 by 3
2 * 3 = 6
4 (6 - 1)
⇒ Distribute terms
4 * 5
20
Hence, the answer is 20.
Find the area of sphere of radius 4 cm
Answers
Step-by-Step Solution:
Radius (r) = 4 cm
Area of the Sphere = 4πr^2
Therefore,
= 4πr^2
= 4 * π * r * r
= 4 * 22/7 * 4 * 4
= 4 * 22/7 * 16
= 88/7 * 16
= 1408/7
=> 201.14
Area of the Sphere = 201.14 cm^2
Sequence: 1,5,13,25
Find nth term (Equation/formula thingy)
Need answer ASAP
Answers
Answer:
Formula for a linear sequence is
Tn=a+(n-1)d
where Tn is the nth term
a is the first term
n is the number of term
d is common difference
The cost of the fruit is given by the function y=3x+1, where x is the number of fruits and y is the total cost. Find the range of the function.
Answers
Find the value of k for which the point (3k,k) lies on the line y = 3x +8.
Answers
Step-by-step explanation:
please mark me as brainlest
Find the half line in days of Co-60. ROUND YOUR ANSWER TO THE NEAREST TENTH
Answers
The half life in days is 1924.0245 days.
What is half life?Half life is the time taken for the radioactivity of a substance to fall to half its original value.
Given:
N= 8
N[tex]_0[/tex]= initial mass
t= in days
So, N= [tex]N_0e^{-kt}[/tex]
Putting the values we get
half value = 5.2713 years or 1924.0245 days
Hence, the half-life is 1924.0245 days.
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A shopkeeper buys a stove for $860 what is the selling price if he makes the profit of 15%
Answers
Answer:
$989
Step-by-step explanation:
860*0.15 is = 129
129 + 860 is 989
Simplify -3/2÷9/6
○-4
O-1
04
01
Answers
Answer:
-1
Step-by-step explanation:
the answer snis negative One
Suppose as part of a national study of economic competitiveness a marketing research firm randomly sampled 200 adults between the ages of 27 and 35 living in metropolitan seattle and 180 adults between the ages of 27 and 35 living in metropolitan minneapolis. each adult selected in the sample was asked, among other things, whether they had a college degree. from the seattle sample 66 adults answered yes and from the minneapolis sample 63 adults answered yes when asked if they had a college degree. based on the sample data, can we conclude that there is a difference between the population proportions of adults between the ages of 27 and 35 in the two cities with college degrees
Answers
No we cannot conclude that there is a difference between the population proportion of adults between the ages of 27 and 35 in the two cities.
How to solve for the population proportionFor Seattle
66/200 = 0.33
For Minneapolis
63/180
= 0.35
We have to form our hypothesis
H0: p1 = p2
H1: p1 ≠ p2
We solve for the test statistic
z = (p1-p2)/√(p1*(1-p1)/n1+p2x(1-p2)/n2)
The calculation is given as -0.41
The excel output is given in the attachment
=-0.41
At a significance level of 0.1, the level of acceptance is at -1.645 and 1.645. The value of the test stat can be found here.
Since Z=-0.41 is between -2.58 and 2.58, we do not reject H0.
Hence we fail to reject the null hypothesis.
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Determine if the sequence 4, 10, 19, 31,... is arithmetic. If it is, determine the first term a and the common difference d
Answers
Answer:
It is not arithmetic, so therefore there is no common difference
Step-by-step explanation:
An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. There is no constant term in the above pattern.
Answer:
not an arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers that have a common difference. That is, the difference between any term and the previous term is constant for the sequence. Other kinds of sequences have other relationships between the differences.
DifferencesThe "first" differences of this sequence are ...
10-4 = 619-10 = 931 -19 = 12The first differences are not constant. However, we notice the "second" differences are constant. These are the differences of successive first differences.
9 -6 = 312 -9 = 3 . . . . . . constant 2nd differencesSequence typeThe first differences are not constant, so this sequence is not an arithmetic sequence.
For polynomial sequences, the level of constant difference tell you the degree of the polynomial describing the sequence. This sequence has constant 2nd-level differences, so can be described by a 2nd degree (quadratic) polynomial:
f(n) = 1.5n² +1.5n +1 . . . . . a quadratic sequence
__
Additional comment
Sequences that are exponential have differences that have a common ratio. That ratio is the same at every level. It is the base of the exponential function.
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please?
Answers
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
m is slope.
y-2=1/3(x-3)
Hope this helps!
If not, I am sorry.
f(x) = |x – 3| + 6 where is the vertex of the graph
Answers
Answer: (3,6)
Rewrite in vertex form and use this form to find the vertex (h,k)
Answer:
(3,6)
Step-by-step explanation:
f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.
f(x) = |x - 3| + 6
has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)
The +6 tacked on to the end shifts the whole graph UP 6.
That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.
