Answer:
Step-by-step explanation:
$52.00
f(x) = √2-x-x²
Find domain and range
The function of domain is X∈R and the range is [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\].[/tex]
The given function is [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex]
Domain: The domain of a function is the set of input or argument values for which the function is real.
Use commutative properties to reorder the terms
[tex]\[f(x) = \sqrt { - x + 2} - {x^2}\][/tex]
Separate the function into parts to determine the domain of each part
[tex]\[f\left( x \right) = \sqrt { - x + 2} \]=-x+2= x^{2}[/tex]
Domain is XR (all real numbers)
The function has no undefined points nor domain constraints. Therefore, the domain is X∈R.
Range: The set of values of the dependent variable for which a function is defined
Range of [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex]
Combine the ranges of all domain intervals to obtain the function range.
Hence, the domain and the range of the function [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex] are
Domain = X∈R
Range [tex]=\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex].
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A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.
Which point is located on ray PQ?
point M
point N
point O
point RA line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.
Which point is located on ray PQ?
point M
point N
point O
point R
The point which is located on the ray PQ as required in the task content given that the points M, N, O, P, Q, R, S are collinear is; point R.
Which point among the answer choices is one which is located on the ray PQ as required in the task content?It follows from the task content that the point which is located on the ray PQ is to be identified among the given answer choices.
Since all points given are said to be contained on a line, it can therefore be inferred that the points are collinear.
Also, by the definition of a ray; it follows that the ray PQ is one which starts from P and goes through Q and continues in the direction of Q.
Ultimately, the point which is located on such ray as described above among the answer choices is the point R.
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Answer:
Point R
Step-by-step explanation:
Please help!! Questions 16-19
Answer: 16. f(1)=-2
17. f(-3)=1
18. x=0
19. x=-1 and x=1
Step-by-step explanation:
16. f(1)=-2
17. f(-3)=1
18. f(x)=-3
x=0 ==> f(0)=-3
19. f(x)=-2
x=-1 and x=1 ==> f(-1)=-2, f(1)=-2
Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime, how much did he earn?
When Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2
Given,
The amount he earns in an hour = $5.40
Total number of hours he worked =40 hours
The amount he earns = 5.40×40 = $216
Overtime hours = 2 hours
Overtime payment per hour= 5.40×1.5= $8.1
The amount he earns for overtime = 2×8.1= $16.2
The total amount he earned = 216+16.2= $232.2
Hence, when Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2
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Malia uses 51 yards of ribbon to make 17 bows. the relationship between ribbon and bows is proportional. how many yards of ribbon does malia need to make 68 bows?
Malia that uses 51 yards of ribbon to make 17 bows will have to use 204 yards of ribbon to make 68 bows
To solve this problem we will use a rule of three with the problem information:
17 bows-------- 51 yards of ribbon
68 bows-------- x
Applying the rule of three we get:
x = (68 bows * 51 yards of ribbon) /17 bows
x = 204 yards of ribbon
What is rule of three?It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.
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Which statements are true about the graph of the system of linear inequalities? Select two options.
y > 3x – 4
y < One-halfx + 1
The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < One-halfx + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.
There are no solutions to the system.
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
The statements that are true about the graph of the system of linear inequalities include:
The graph of y > 3x − 4 has shading above a dashed line.
The graphs of the inequalities will intersect.
How to illustrate the information?y means the shading will be above the corresponding line.
y means the shading will be below the corresponding line.
Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.
Therefore, the graph of y > 3x − 4 has shading above a dashed line and thee graphs of the inequalities will intersect.
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Answer:
A, C
Step-by-step explanation:
Which statements are true about the graph of the system of linear inequalities? Select two options.
y > 3x – 4
y < One-halfx + 1
The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < One-halfx + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.
There are no solutions to the system.
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
Edge 2022
Can someone tell me what 17-6+2 is please?
Answer:
[tex]\frac{3}{x-1}+\frac{2}{x+1}=\frac{5}{x}[/tex]
Find two consecutive even integers such that 6 times the smaller integer is 36 more than 3 times the larger integer. Please Help me!
The integers are 14 and 16.
How to calculate the value?Let the integers be represented by x and x+2.
It was stated that the consecutive even integers such that 6 times the smaller integer is 36 more than 3 times the larger integer.
This will be:
6(x) = 3(x + 2) + 36
6x = 3x + 6 + 36
6x = 3x + 42
6x - 3x = 32
3x = 42
Divide
3x/3 = 42/3
x = 14.
The larger number will be:
= x + 2
= 14 + 2
= 16
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Frozen hamburgers are sold in packages of 4 and hamburger buns are sold in packages of 6. What is the smallest number of hamburgers and buns that can be sold so the number of hamburgers equals the number of hamburger buns?
PLS ANSWER QUICK!!!!
Answer:
The least common multiple of 8 and 6
burgers: 6, 12, 18, 24
buns: 8, 16, 24
You make 24 burgers which is 4 packages
of meat patties and 3 packs of buns.
how to find the rise and run on the graph
rise: 1 run: 2
slope: 1/2
you can start from any point on the slope. if i picked point (-5,0) i go up 1 square and right 2 squares to get to point (-3, 0). thats basically the rise and run, and the slope is always rise over run
. Two angles in a triangle have measures 30° and 57°. What is the measure of the
third angle?
Answer:
93
Step-by-step explanation:
first you add 30 and 57
where you will get 87
then subtract 87 from 180 and get 93
Given f(x) = 5x squared of 2 + 2 and g(x) = 8 - 3x, find the following.
12. Find g[f(-2)].
11. Find flg(x)).
Harry is saving for the deposit for an apartment. He has 21 350 EUR, but needs at least 30
000 EUR in 3 years time.
He compares banks that offer annual interest compounded monthly.
What is the minimum interest rate he requires to meet his needs? Give your answer to three
significant figures.
[Answer format: 00.0%]
We need to know about the concept of compound interest to solve the given problem. The minimum interest rate that Harry needs to meet his need is 11.4%
Compound interest can be described as the interest that you earn on both the principal amount and the interest earned. In this question it is said that the bank offers annual interest compounded monthly, we will be using a formula to solve this problem. Since Harry has 21350 EUR we will take that as the principal amount and the minimum amount that he needs is 30000 EUR we will consider this to be the final amount at the end of 3 years. We need to find out the rate of interest that the bank offers.
A=P[tex](1+\frac{r}{12} )^{12t}[/tex] where A is amount, P is principal, r is the rate of interest and t is time period.
P=21350 EUR
A=30000 EUR
t=3
30000=21350[tex](1+\frac{r}{12}) ^{36}[/tex]
[tex]\frac{600}{427} =(1+\frac{r}{12}) ^{36}[/tex]
1+[tex]\frac{r}{12}[/tex]=1.00949
r/12=0.00949
r=0.1139
r=11.4%
Therefore we found that the minimum rate of interest Harry requires to meet his needs is 11.4%
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what numbers are missing from the pattern? 11,22,?,?,?,?,77,88,99
Please Answer ASAP!!! HURRY:)
Answer:
so it goes 11,22,33,44,55,66,77,88,99!
Step-by-step explanation:
Not that hard you're welcome kings and queens have a nice day
c. Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.
The fact that the sum of the interior angles of a triangle add up to 180 is equivalent to the parallel postulate. Therefore, the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry.
How to illustrate the information?There is only one parallel to the given line in Riemannian geometry. A straight line of finite length that can be continued endlessly is the second postulate of Euclid.
One of the non-Euclidean geometries that entirely rejects the validity of Euclid's fifth postulate and alters his second postulate is Riemannian geometry, commonly known as elliptic geometry. The fifth postulate of Euclid states that there is only one line that passes through a point that is not on a particular line and is parallel to that line.
In this case, the angles won't change as it's always equal
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really need an explanation
Find the equation of the line which passes through (6,2) and is parallel to the line with equation 3y=5x+2
Answer:
3y = 5x - 24
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3y = 5x + 2 ( divide through by 3 )
y = [tex]\frac{5}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation of the parallel line
to find c substitute (6, 2 ) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = [tex]\frac{5}{3}[/tex] x - 8 ← equation in slope- intercept form
multiply through by 3 to clear the fraction
3y = 5x - 24 ← equation of parallel line
A teacher has a salary of $25,920 for her second year on the job. If this is 4.2% more than her first year salary, how much did she earn her first-year?
Answer:
i don't know the answer!!
f(x) = 8x
g(x) = 12x + 3
Find (f g)(x)
f(x)= 14
g(x)= 3 - 12x
find f(x) • g(x)
please, it’s for tomorrow and i need whit the process
a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
In this question, we have been given two functions.
We need to find the given function.
a) f(x) = 8x and g(x) = 12x + 3
To find (f g)(x)
We know that, the product of functions f(x) and g(x) is:
(f g)(x) = f(x) . g(x)
(f g)(x) = (8x) (12x + 3)
(f g)(x) = 96x² + 24x
So, for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) f(x)= 14 and g(x)= 3 - 12x
To find f(x) • g(x)
f(x) • g(x) = (14) . (3 - 12x)
f(x) • g(x) = 42 - 168x
So, for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
Therefore, a) for given functions f(x) = 8x and g(x) = 12x + 3,
(f g)(x) = 96x² + 24x
b) for functions f(x)= 14 and g(x)= 3 - 12x,
f(x) • g(x) = 42 - 168x
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Order the square root of 50, negative 7.1 repeating, twenty three thirds, and negative seven and one fifth from least to greatest. negative 7.1 repeating, negative seven and one fifth, square root of 50, and twenty three thirds negative seven and one fifth, negative 7.1 repeating, twenty three thirds, and the square root of 50 negative 7.1 repeating, negative seven and one fifth, twenty three thirds, and the square root of 50 negative 7 and one fifth, negative 7.1 repeating, square root of 50, and twenty three thirds
Answer:
I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50
12 ÷ 3 × (15 - 6) + 3
Answer:
39
Step-by-step explanation:
[tex]{ \blue{ \mathfrak{39}}}[/tex]
Step-by-step explanation:
[tex]{ \red{ \tt{ \frac{12}{3} }}} \times ({ \green{ \tt{15 - 6}}}) + { \red{ \tt{3}}}[/tex]
[tex]{ \red{ \tt{4}}} \times { \green{ \tt{9}}} \: + \: { \red{ \tt{3}}}[/tex]
[tex]{ \red{ \tt{36}}} + { \red{ \tt{3}}}[/tex]
[tex] = { \purple{ \mathfrak{39}}}[/tex]
How many different whole numbers between 1 and 150 have exactly 3 different factors?
There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.
To find the complete list begin counting...
skip 1, not prime;
2 is prime and 2 squared is 4;
3 is prime and 3 squared is 9;
skip 4 b/c it is not prime;
5 is prime and 5 squared is 25;
6 not prime;
7 prime and 7 squared is 49;
8 not prime;
10 not prime;
11 prime and squared is 121;
12 is not prime;
13 prime, but squared it is greater than 150.
The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;
9 has 1, 3, 9;
25 has 1, 5, 25 ;
49 has 1, 7, 49 ;
121 has 1, 11, 121.
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f(a) = a + 3. Find f(7)
Answer: a=1/2=0.5
Step-by-step explanation:
7(a)=a+3
Subtract a from both sides.
7a−a=3
Combine 7a and −a to get 6a.
6a=3
Divide both sides by 6.
a= 63
Reduce the fraction
63
to lowest terms by extracting and canceling out 3.
a= 21
Expand and simplify (K+4)(7k+3)
Answer:
(k + 4) (7k + 3)
k(7k + 3) + 4(7k + 3)
7k² + 3k + 4(7k + 3)
7k² + 3k + 28k + 12
7k² + 3k + 28k + 12
7k² + 31k + 12
7k² + 31k + 12
4. Which of the following is the same figure as EG?
a) EF
b) EG
c) EF
d) EG
- Which of the following is the same figure as DF?
a) GF
b)FD
c) DF
d) DE
6. Which of the following is the same figure as DG?
a) DG
b) EG
c)GD
d) EG
7. Which of the following is true about the figu
a) DE EF
b) ED=FG
c) EF FG
d) DF DE
Answer:
a) EF
c) DF
a) DG
a) DE EF
Step-by-step explanation:
Complete the following statement. Use the integers that are closest to the number in the middle.
< –80
Answer:
Step-by-step explanation:
Complete the following statement. Use the integers that are closest to the number in the middle.
< –80
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
28 – 2.5x – 2y
32 + 2.5x + 2y
32 – 2.5x – 2y
:(
is 5 1/25 irrational
Need help question 5!
Answer: a.{2, 4, 5, 7, 15} b.{2, 3, 5, 6.5, 9}
Step-by-step explanation: for (a.) you find the median and both extremes, lower and highest value, and for (b.) you just have to re-find the median and the new upper and lower quartiles.
Hope this helps c:
If you move 50.0 meters in 10.0 seconds, what is your speed
Answer:
5 m/s
Step-by-step explanation:
The equation for speed is distance/time. The distance given is 50 meters. The time given is 10 minutes. 50/10 is 5. 5 meters per second is your speed.