Answers
Problem 5
Domain = [tex]-4 \le x \le 3[/tex]
This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.
The domain in interval notation is [-4, 3]. The square brackets include the endpoint.
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Range = [tex]-4 \le y \le 5[/tex]
We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.
The range in interval notation is [-4, 5]
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Problem 6
Domain = [tex]-2 \le x < 2[/tex]
Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.
The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.
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Range = [tex]-4 \le y < 4[/tex]
The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.
The range in interval notation is [-4, 4)
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Problem 7
Domain = [tex]-4 < x \le 2[/tex]
Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.
The domain in interval notation is (-4, 2]
-------------
Range: [tex]-4 < y < 4[/tex]
Both endpoints are open holes, so we exclude both endpoints.
The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.
=============================================================
Problem 8
Domain = [tex]-5 < x < 3[/tex]
Domain in interval notation = (-5, 3)
The graph is too blurry to be able to determine the range.
Related Questions
Find the area under the standard normal curve that lies outside the interval between following two values. Round the answers to at least four decimal places. (a)Find the area under the standard normal curve that lies outside the interval between -1.43 and 1.34.
Answers
Answer:
A = 0,16644
Step-by-step explanation:
The area (A₁) under the bell shape curve, from the left tail up to the point ( z score) 1,34 is:
For z (score ) = 1,34 A₁ = 0,9099
The area A₂ from the left tail up to z = -1,43 is
A₂ = 0,07634
Area A₂ is inside area A₁, the area A₃ inside the points - 1,43 and 1,34 is
A₃ = A₁ - A₂
A₃ = 0,9099 - 0,07634
A₃ = 0,83356
Finally area outside the interval - 1, 43 and 1,34 is A ( the area we were looking for) is
A = 1 - A₃
A = 1 - 0,83356
A = 0,16644
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is yards, what are its dimensions 76
Answers
Answer:
The length is 25.3 yards, while the width is 12.7 yards.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(l + w)
where l is its length and w the width.
Given that:
perimeter = 76 yards
It is twice as long as its wide, length = 2w
width = w
Then,
P = 2(l + w)
76 = 2(2w + w)
divide through by 2, to have;
38 = 2w + w
38 = 3w
⇒ w = 12.67 yards
Thus,
length = 2w = 2 x 12.67 = 25.34 yards
The length is 25.3 yards, while the width is 12.7 yards.
What is f(5) for the function f(x) = 2x+4
Answers
Answer: 1/2 half
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
f(5) you plug in 5 as x
2(5)+4
2×5=10
10+4=14
consider the equation a(4-x) = -3x+b. What values of a and b make the solution of the equation x = -5?
a=
b=
choices-
9. 7. 6. 5. 1. 0. -1. -5. -6. -7. -9
y’all please help asap
Answers
Answer:
b=−ax+4a+3x
a= b−3x −x+4
Step-by-step explanation:
The values of a and b make the solution of the equation x = -5 are 1 and -6
How to determine the values of a and b?The equation is given as:
a(4-x) = -3x+b
When x = -5, we have:
a(4+5) = -3(-5)+b
Evaluate the products
9a = 15 + b
Set a = 1
9(1) = 15 + b
Make b the subject
b = 9 - 15
b = -6
Hence, the values of a and b make the solution of the equation x = -5 are 1 and -6
Read more about equations at:
https://brainly.com/question/14323743
Which point on the number line represents 30%?
Answers
Answer:
Point S
Step-by-step explanation:
30% can be rewritten as 0.30, which happens to be where point s falls, on the third mark between 0 and 1.
Answer: T
Step-by-step explanation:
Idk if this is true but if you're looking for 30% on one, you'd want to count the total amount of spikes before number one. There are 10, so you can probably infer that 30% of 10 is 3, making it T.
If a person walks 1/4 in 10 minutes , how far will that person walk in one hour
Answers
Answer:
One and a half or 1 and 1/2
Answer:
6/4 or 1 and 2/4
Step-by-step explanation:
The sum of two integers is 5. Their difference is 3. What are
the two integers?
A
4 and 1
B -1 and 3
С
- 7 and 12
6 and 1
Answers
If you horizontally shift the linear parent function f(x)=x left two units what is the equation of the new function?
Answers
Answer:
This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.
Step-by-step explanation:
What is the equation of the line that passes through the point (−8,7) and has a slope of 0?
Answers
Step-by-step explanation:
formula = y - y1 = m2 ( x - x1)
y - 7 = 0 ( x - (-8))
y - 7 = 0
y = 7
PLEASE HELP
ILL GIVE BRAINLIEST
Answers
Answer:
4x times 5 k
Step-by-step explanation:
Solve for n.
4n + 7 = 19
n =
Answers
-7 -7
4n= 12
4n/4= 12/4
n = 3
4n + 7 = 19
Subtract 7 from both sides.
4n + 7 − 7 = 19 − 7
4n = 12
Divide both sides by 4.
4n is 4 = 12/4
N = 3
Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?
Answers
Answer:
15 years old.
Step-by-step explanation:
Amanda is currently 25 years old.
In 5 years of time, she will be twice as old as Simone.
25+5=30.
30/2=15.
Thus, Simone is 15 years old.
0.007 divided by 10 equivalent to 0.07
Answers
Does 0.007/10=0.07
true or false?
Answer:
NO if you wanted to get 0.07 you would have to multiply not divide.
Step-by-step explanation:
0.007/10=0.0007
On the blueprint of a house,42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its length on the blueprint?
Answers
Answer:
26.25 millimeters
Step-by-step explanation:
i think
Simplify.
(x6y3)−2x−5y−8
Answers
Answer:
18xy-2x-5y-8
Step-by-step explanation:
Просто умножьте,то что было в скобках
I need help, please
Answers
Answer:
2
Step-by-step explanation:
1+1=2
Which of the following is the value of PQ ?
Helllp please
Answers
Answer:
B. 61
Step-by-step explanation:
Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.
Therefore,
[tex] RQ = SQ [/tex]
[tex] 3x + 16 = 7x - 24 [/tex]
Collect like terms
[tex] 16 + 24 = 7x - 3x [/tex]
[tex] 40 = 4x [/tex]
Divide both sides by 4
[tex] \frac{40}{4} = \frac{4x}{4} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
Find PQ:
[tex] PQ = 2x + 41 [/tex]
substitute x = 10 into the equation
[tex] PQ = 2(10) + 41 [/tex]
[tex] PQ = 20 + 41 [/tex]
[tex] PQ = 61 [/tex]
construction company builds an average of 48 houses per year. How many houses per month does the company build?
Answers
Answer:
48 per year would be 4 houses a month
Step-by-step explanation:
4 * 12 = 48
Compare theâ z-scores to decide which of the followingâ x-values lie the greatest distance above the mean and the greatest distance below the mean. a. x=â100, μ=â50, Ï=25 b. x=â1, μ=â4, Ï=1 c. x=â0, μ=â200, Ï=100 d. x=â10, μ=â5, Ï=3 a. Theâ z-score is 22. â(Type an integer or decimal rounded to two decimal places asâ needed.) b. Theâ z-score is negative 3â3. â(Type an integer or decimal rounded to two decimal places asâ needed.) c. Theâ z-score is negative 2â2. â(Type an integer or decimal rounded to two decimal places asâ needed.) d. Theâ z-score is 1.671.67. â(Type an integer or decimal rounded to two decimal places asâ needed.) Theâ x-value that lies the greatest distance above the mean is the value from part â¼ and theâ x-value that lies the greatest distance below the mean is the value from
Answers
. 20% of the people at a restaurant selected Chinese food. If 40 people did not select
the Chinese food then how many people were eating in the restaurant?
Answers
Answer:
Depends
Step-by-step explanation:
50
Answer:
50 people
Step-by-step explanation:
The order in which to perform operations when simplifying an expressions with more than one operation
Answers
Answer:
First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.
Step-by-step explanation:
The thickness of a single sheet of paper is about 0.00005 meters. Express this number in scientific notation.
Answers
Answer:
5* 10^(-5)m is the scientific notation of 0.00005m.
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answers
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
Find the 8th term of the geometric sequence 4, -12, 36, ...
Answers
Answer:
-8748
Step-by-step explanation:
Each number you are multiplying by -3
If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes
Answers
Answer:
232.50
Step-by-step explanation:
46.50÷3=15.5
15.5 is your money per hour/s
15.5x15=232.50
PLZ HELP REALLY FAST
Answers
In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE IM BEGGING FOR HELP
For what value of x is m∥n ?
Enter your answer in the box.
x =
Answers
Answer: x = 6
Step-by-step explanation:
Angles 1 and 8 are alternate exterior angles, so they are equal.
So you can create an equation to solve for x
12x−20 = 2x+40 Subtract 2x from both sides. Add 20 to both sides
10x = 60
x = 6
If you need the m∠1, Substitute 6 for x. (2x+40)° 2(6) +40= 12+40 m∠1= 52°
m∠8=(12x−20)° 12(6) - 20 = 72-20 m∠8 = 52°
Answer:
x=6
Step-by-step explanation:
free point
Find the slope of the line from two given points: (12,-18) and (-15,-18)
Answers
Answer:
The answer is 0
Step-by-step explanation:
use the slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
12 is xsub1
-18 is ysub1
-15 is xsub2
-18 is ysub2
now solve!
[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]
slope is 0.
hope this helps!
Answer:
The slope of the line is 0. It's a horizontal line.
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (12,-18) (-15,-18).
Calculate the slope:
[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]
[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]
[tex]\displaystyle m=\frac{0}{-27}=0[/tex]
The slope of the line is 0. It's a horizontal line.
If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answers
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
How do you do this question?
Answers
Answer:
14/29
Step-by-step explanation:
Simply substitute 5 for n.
a₅ = (5 + 9) / (5×5 + 4)
a₅ = 14 / 29
