can someone help me answer these? im really confused and have a quiz on it tomorrow.. thank you so much!!
Answers
Answer:
Domain: [tex]x > -5[/tex] or [tex](-5,\infty)[/tex]
Range: [tex]y\geq -3[/tex] or [tex][-3,\infty)[/tex]
Step-by-step explanation:
The domain is essentially the set of x-values in a given graph. In this graph. we see that the lowest x-value is an unfilled dot when x=-5. The unfilled dot means that the function [tex]f(x)[/tex] doesn't include -5. We then see that the x-value goes to positive infinity. This means that [tex]x[/tex] must be greater than -5. It is not greater or equal to -5 because the dot is not filled.
Therefore, we have that [tex]x > -5[/tex]. To convert to interval notation we can take the lower value (-5) and put it on the left side and put the higher value ([tex]\infty[/tex]) and put it on the right side. Since the graph doesn't include -5, we can put parentheses around both values to get [tex](-5,\infty)[/tex].
Note: We always put parentheses around both [tex]\infty[/tex] and [tex]-\infty[/tex].
The range is basically the same as the domain but with the y-value. We can see that the lowest y-value is y=-3. This includes -3 since the line fills the point in. Then we see that the highest y-value is once again positive infinity. This means that [tex]y\geq-3[/tex].
Now when we convert to interval notation, we have -3 and [tex]\infty[/tex]. This time since y=-3 is included in the function, we put a hard bracket around -3. Thus, we get [tex][-3,\infty)[/tex].
Hope this helps!
Related Questions
What is the domain and range of this picture?
Answers
Range; [-1, +oo)
(Consider oo as infinity sign)
Evaluate the expression when m = 5 and n = 38
N-6m
Answers
An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
50
6m-n
Let m = 9 and n = 4
when m = 5 and n = 38
N-6m6*9-4
Multiply first
54-4
Then subtract
50
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Two players are playing chess and usually player a wins 65 percent of games. they will play 3 games and the winner is:_________
Answers
In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.
What is probability?Probability is a branch of mathematics with numerical characterizations of how likely an event is really to occur or how probable a proposition is to be true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.To find the probability:
To find the probability that player a wins the game and by what probability player b wins the game.So, 65/100 = 13/20.So, the probability of player b will be 7/20.Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.
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Tyler has two cube-shaped storage spaces in his apartment, one large and one big. the small on is 12 with a exponent of 3. what is the volume for both?
Answers
Answer: 19
Step-by-step explanation:
2+1+1+12+3=19
need help with #9, & #10 please
Answers
Step-by-step explanation:
the line equation is in the slope-intercept form.
that looks like
y = ax + b
"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).
so, when it says "the same slope", we know we have to use the same factor of x.
and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".
9.
y = -4x + b
2 = -4×0 + b = b
so, yes, the equation is
y = -4x + 2
but as you can see : b is NOT y in general.
10.
y = 2/3 x + b
-1 = 2/3 × 4 + b = 8/3 + b
now, let's multiply both sides by 3 to get rid of the fraction :
-3 = 8 + 3b
-11 = 3b
b = -11/3
so, the equation is
y = 2/3 x - 11/3
or
y = 1/3 × (2x - 11)
What is the solution set of this compound inequality? 1 ≤ |x + 3| ≤ 4
Answers
The solution is:
[tex]-7\leq x\leq -4[/tex] or [tex]-2\leq x\leq 1[/tex]
Find the difference.
1. -16 -4 =
4. -13 -2 =
7. -12-7=
10.-23-6=
13. 4 + 9 =
16. 5 + 3 =
19. 4+ 10 =
22. -4 + 1 =
2.-19-28 =
5. 9-3 =
8. -21-1=
11. 1-3 =
14. -8 + 8 =
17. -5 + 9 =
20. 6+-3 =
23. -2 -2 =
3. 3 10 =
6. 1-5=
9. 20-8=
12. -9 -0 =
15. 4 + 6 =
18. 2 + 2 =
21. -6 -5 =
24. 4 + 1 =. Please help ! Ill mark brainliest
Answers
Answer:
rHrhstdu.guf.ugdtuy.
Step-by-step explanation:
1. -16 -4 = -20
4. -13 -2 = -15
7. -12-7= -19
10.-23-6= -29
13. 4 + 9 = 13
16. 5 + 3 = 8
19. 4+ 10 = 14
22. -4 + 1 = 3
2.-19-28 = -47
5. 9-3 = 6
8. -21-1= -22
11. 1-3 = -2
14. -8 + 8 =0
17. -5 + 9 =4
20. 6+-3 = 3
23. -2 -2 = -4
3. 3 .10 =30[ there is no sign so these numbers are multiplied ]
6. 1-5= -4
9. 20-8= 12
12. -9 -0 = -9
15. 4 + 6 = 10
18. 2 + 2 = 4
21. -6 -5 = -11
24. 4 + 1 = 5
4. -15
7. -19
10. -29
13. 13
16. 8
19. 14
22. -3
2. -47
5. 6
8 -22
11. -3
14. 0
17. 4
20. 3
23. -4
3. ?
6. —4
9. 12
12. -9
15. 10
18. 4
21. -11
24. 5
:)))
(-1)X 12 times=(-1) to the 12th power. Will these products be negative or positive?
Answers
[tex](-1)x\times(-1)^{12}\implies -x\times(-1)^{2+2+2+2+2+2} \\\\\\ -x\times(-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 \implies -x\times 1\cdot 1\cdot 1\cdot 1\cdot 1\cdot 1\implies -x[/tex]
bear in mind that any value raised to an even power, will always positivize.
Q. 2
Find the missing number 4, 5, 16, ?,
when average (mean) is 8 ?
Answers
Answer:The missing number is 7
Step-by-step explanation:
if 4+5+16 is 25 then you will need 7 more to make it 32 so you can divide by 4 and get 8
What is the area of the shaded region?
Answers
Answer:
208
Step-by-step explanation:
4*30 = 120
(15-4) * 8 = 88
88 + 120 = 208
Answer:
208 cm
Step-by-step explanation:
Solving right side first. 8*15=120
Take out 8cm from 30. 30 - 8 = 22
22*4= 88
88 + 120 = 208
Check work I found the total area and the white rectangle.
15*30=450 which in total area
15-4=11 11 is the left/right side of the white rectangle
30-8=22 22 is the top/bottom side of the white rectangle.
22*11= 242
208+242=450
Describe the transformation from the parent function to the graph f(x) = 3|x+1|−6
the 3 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
the x+1 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
the -6 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
Answers
Using translation concepts, we have that:
The 3 will make the parent function vertically stretch by a factor of 3.The x + 1 will make the parent function shift horizontally left 1 unit.The -6 will make the parent function shift vertically down 1 unit.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the parent function is:
g(x) = |x|.
The translated function is:
f(x) = 3|x + 1| - 6.
The multiplication by 3 means that the function was stretched vertically by a factor of 3, hence:
The 3 will make the parent function vertically stretch by a factor of 3.
At x -> x + 1, we have that the function was shifted one unit left, hence:
The x + 1 will make the parent function shift horizontally left 1 unit.
For the subtraction by 6, the function was shifted down 6 units, hence:
The -6 will make the parent function shift vertically down 1 unit.
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$500 is earning 8% simple unrest rate. What is the interest owed
Answers
The interest owed is $40
How to calculate the interest ?Interest is the amount of money paid when a loan is collected
The amount is $500
The interest rate is 8%
Therefore the interest owed can be calculated as follows
= 8/100 × 500
= 0.08 × 500
= 40
Hence the interest owed is $40
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I need help on the problem i'm stuck
Answers
The number of hours Becky took to finish typing the essay is 3 hours.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
Number of words in the essay = 4,100
Becky can type 20 words per minute.
Becky has already typed 500 words.
So the remaining words are:
= 4,100 - 500
= 3,600
Now,
The number of hours to complete 3,600 words:
= 3,600 minutes / 20
= 180 minutes
We know that,
1 hour = 60 minutes
3 hours = 180 minutes
= 3 hours
Thus the number of hours Becky took to finish typing the essay is 3 hours.
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9(y^2+x)=18 in standard form
Answers
Answer:
9y^2 + 9x - 18 or 9(y^2 + x - 2)
Step-by-step explanation:
9(y^2+x)=18
9y^2 + 9x=18
9y^2 + 9x - 18 = 0
9(y^2 + x - 2) = 0
someone please help me
Answers
Answer:
45
Step-by-step explanation:
180 - 45 - 90 = 45
PLEASE SOLVE THIS FOR MEEEE<333
Answers
8 x 10^5 = 800,000
4x 10^3 = 4000
800,000 divided by 200 = 4000
The base of a triangle is 3 inches more than 2 times the height. If the area of the triangle is 76 square inches, find
the base and height.
Answers
Height is h = 8 and base = 19 inch in triangle .
What Does a Triangle's Area Mean?
The space bounded by a triangle's three sides is known as the area of a triangle. Depending on the type of triangle, it is computed using a variety of methods and expressed in square units like cm2, inches2, and so forth.Area of a triangle whose base is b and height is h is =1/2 * b * h
Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)
b = 2h + 3
Hence, its area is 1/2 × h × (2h + 3 ) = 76 inch²
So, 1/2 × h × (2h + 3) = 76
2h² + 3h = 76 × 2
2h² + 3h - 152 = 0
2h² + 19h - 16h - 152 = 0
h( 2h + 19 ) -8 (2h + 19) = 0
(h-8) ( 2h - 19)
now h = 8 and h = -19/2 but height of triangle cannot be negative.
Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch
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Given T(1,5), U(-2,-8), V(7,-9), and W(-6, y). Find y such that
TU VW
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of TU
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{-13}{-3}\implies \cfrac{13}{3}[/tex]
hmmmm, well, if that's so, then the slope of VW will be the negative reciprocal of that only if both are really perpendicular, so
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{13}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{13}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{13}}}[/tex]
since now we know the slope if VW, let's use it
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{y}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{y}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{7}}} \implies \cfrac{y +9}{-13}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{13}}\implies y+9=\cfrac{3(-13)}{-13} \\\\\\ y+9=3\implies {\LARGE \begin{array}{llll} y = -6 \end{array}}[/tex]
Solve for x in the diagram below.
X =
хо
100°
3x°
Answers
Answer:
20
Step-by-step explanation:
the line equals 180 degrees total.
so subtract the angle we already know from the total...
180- 100=80
then, make an equation with the last two variables since we know both of them added together should equal 80
80=x +3x
Combine like terms
80=4x
Divide by 4
20=x
An arithmetic sequence is given below.
3, 7, 11, 15,...
Write the explicit formula for the n^th and a'n.
Answers
The explicit formula, for the arithmetic sequence 3, 7, 11, 15,... is an = 4n - 1
What does an arithmetic sequence mean?An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.
For the arithmetic sequence,
3, 7, 11, 15,...
a = 3,
d = 7 - 3 = 4
So, an = a + (n - 1)d
an = 3 + (n - 1)4
an = 4n - 1
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Solve the simultaneous equations
y=2-5x
y = x² – 2x – 8
Answers
Answer:
Step-by-step explanation:
sub equation 1 into 2
2-5x=x²-2x-8
0=x²-2x+5x-8-2
0=x²+3x-10
0=(x-2)(x+5)
x=2 or x=-5
sub x into equation 1
y=2-5(2) or y=2-5(-5)
y=-8 y=27
Use the roster method to write the given set the set of integers x that satisfy 2x-1= -13
Answers
The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
What is a set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
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Jackson and Flora both have bank accounts, and they use credit cards.
Use the number line to determine if they can pay off the credit card bill.
A. Jackson has $20 in his account. He uses a credit card to spend $30 on a
coat and $10 on a movie. Jackson then deposits $50 into his account.
How much will Jackson have left after he pays the credit card bill?
Answers
20 girls and 32 boys volunteer to plants trees at a school. The principal divides the girls and boys into
identical groups that have girls and boys in each group. What is the greatest number of groups the
principal can make?
The greatest number of groups the principal can make is
Answers
The principle can makes 4 groups with 7 girls and 8 boys.
What is HCF?The biggest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD). The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate approaches.
According to the given statement ;
We are given that 28 girls and 32 boys volunteer to plant at a school.
The principle divided the girls and boys into identical groups that have girls and boys in each group.
We have to find that how much the principle can make greatest number of groups.
We will find HCF of 28 and 32
28= 2X2X7
32= 2X2X2X2X2
Highest common factor of 28 and 32 =2X2=4
Therefore, the principle can makes 4 groups with 7 girls and 8 boys.
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help me with this question! explanation pls
Answers
Answer:
the volume increases by a factor of 27
Step-by-step explanation:
pretend that the volume V can be
V=l×w×h 'l' is length, 'w' is width, and 'h' is height. Let's increase all of those measures by a factor of 3.
The new volume will be V': V'=3l × 3w × 3h
we can rearrange:V'=3×3×3×l×w×h
we now have l×w×h by itself: V'=3^3 ×l×w×h=3^3×V
You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:
V'=27V
Mary plans to invest 2,500 for 10 years she invest in a savings account that pays 4.5 % simple intrest she made no additional deposit or withdrawals how much money will she have at the end of 10 years in the account
Answers
1125 money will she have at the end of 10 years in the account after Simple Interest.
What is a basic example and interest?
Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.Mary plans to invest = 2500
t = 10 yr
r = 4.5 %
simple intrest = prt/100
= 2500 * 10 * 4.5 /100
= 1125
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Perform the indicated operation and express the result as a simplified complex number.
6 + 7i
6-7i
Answers
The value of complex number 6 + 7i / 6-7i is -13 / 85 + 84i/85
What are complex numbers?Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
Given the complex number is -
6 + 7i / 6-7i
⇒ 6 + 7i / 6 - 7i × 6 + 7i / 6 + 7i
⇒ (6+7i)² / 6² - 7²(i²)
Using (a+b)² = a² + b² + 2ab
⇒ 6² + (7i)² +2(6)(7i) / 36 - 49(-1)
⇒ 36 - 49 + 84i / 36 + 49
⇒ -13 + 84i / 85
⇒ -13 / 85 + 84i/85
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(3x^3)^3 is equivalent to
Answers
Answer: (3x^3)^3 = 3^3 (x^3)^3 = 27 (x^3)^3 = 27^3x3 = 27^9
27^9
Answer:
27x^9
Step-by-step explanation:
Distribute.
3^3 (x^3)^3
27 (x^3)^3
Power of a power.
27x^3 times 3
Multiply.
27x^9
21 ice cream cones are sold at $4.02 each.
What is the total cost of these items?
Answers
Answer:
84.42
Step-by-step explanation:
21 times 4.02
= 84.42
Answer: $84.42
Step-by-step explanation:21x 4.02
What is the solution (x,y) to the system of equations above?
Answers
Answer:
B
Step-by-step explanation: