Question
Express the inequality a -0.12 using interval notation.
Provide your answer below:
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Answers
Answer: [tex](-\infty ,-0.12][/tex]
Curved parenthesis for negative infinity. Square bracket for the -0.12
========================================================
Explanation:
The inequality [tex]x \le -0.12[/tex] is the same as [tex]-\infty < x \le -0.12[/tex]
This says that x is larger than negative infinity, but smaller than or equal to -0.12
Put another way: x is between negative infinity and -0.12, x could also equal -0.12
To write this in interval notation, we would say [tex](-\infty ,-0.12][/tex]
We always use a curved parenthesis for either infinity. The square bracket indicates "include this endpoint as part of the interval".
Related Questions
There are 40 children and 12 adults going on a trip to New York City by car. Each car can hold a maximum of 5 people. What is the least number of cars needed for the trip?
Answers
Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars = [tex]\frac{52}{5}[/tex]
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
Carpeting costs $9.95 per yard. If Jamie buys 8 yards, how much will it cost him?
Answers
Answer:
$79.6
Step-by-step explanation:
9.95 x 8 = 79.6
On planet Umpt, there are 8 mimstoons to every 11 hoots. If farmer grapple has 60 hoots on his Kent farm, how many mimstoons are on the farm?
Answers
Answer:
480/11
Step-by-step explanation:
8:11 as x:60
480 = 11x
x= 480/11
Pls mark Brainiest :)
The value of A is? The value of B is?
Answers
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
Solve each problem by graphing
Y=-5x+3
Y=-5x-3
Answers
Answer:
I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.
Step-by-step explanation:
They both have the same slope and different y intercept so they will never intersect
Perry had $23 to spend on 4 raffle tickets. After buying them he had 15 dollars left. How much did each ticket cost
Answers
Answer: 5.75
Step-by-step explanation:
Answer:
5.75
Step-by-step explanation:
you divide 23 by 4 and it will give you your answer . the first answer is also correct
The function d (t)=65t models the total distance (in miles) that a truck travels from aurora, where d (t) represents the total distance traveled and t represents the number of hours traveled.
a. What is the y-intercept? What does it represent?
b. What is the slope? What does it represent?
c. Is the function increasing or decreasing?
d. What is the distance traveled after 10 hours, d(10)?
Answers
Which do one we answer?
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Answers
Answer:
the answer is
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A
question 4/3 y=1 what is y?
Answers
Answer:
y= 3/4
Step-by-step explanation:
Answer:
y=3/4
Step-by-step explanation:
4/3y=1
divide both sides by 4/3
1 divided by 4/3 is 3/4 so:
y=3/4
true or false determine key stage statement is true or false 1.a trapezoid has at least one pair of parallel sides
2.the legs of any trapezoid are congruent
Answers
2. False
This is the answer
lindsay sounds a spinner once and then flips a fair coin twice, the spinner is shown below. what is the probability of the spinner landing on an odd number and the coin landing on tails both times
Answers
Answer: The probability is that it has a 50/50 chance of landing on either side
Step-by-step explanation:
1 A rectangular picture frame has perimeter
70 cm.
a The width of the frame is x cm. Find an
expression, in terms of x, for the height
of the frame.
b Find an equation for the area of the
frame, Acm?, in terms of x.
c Plot the graph which shows how A
varies with x. Use a suitable domain and
range. Hence sketch the graph on paper.
d Find the x-intercepts of the graph in part c.
e State what these two values of x represent.
f Hence find the equation of the graph's
line of symmetry, and state what this
tells you in the context of the problem.
Answers
PLZ HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
worth 20% of my grade
Answers
Answer:
d
Step-by-step explanation:
yw can i have brainliest since this is prob the right answer
if f(x) = x^2 and g(x) = 2x + 1, WHICH EXPRESSION IS EQUIVALENT TO (F O G)(X),
Answers
Answer:
(2x+1)^2 or 4x^2+4x+1
Step-by-step explanation:
I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1
You first need to find g(x) which is 2x+1
You then take the f(x) function and replace x with 2x+1
This means our new equation is
(2x+1)^2
Your teacher may or may not want you stop here, really only you know the answer to that
But if we expand this we'll find that (2x+1)^2=4x^2+4x+1
The equivalent expression of (f o g) is 4x² + 4x + 1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions are given.
f(x) = x²
g(x) - 2x + 1
Now,
(f o g)(x) = f(g(x))
g(x) - 2x + 1
So,
f(g(x)) = f(2x + 1)
Now,
f(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
Thus,
The expression of (f o g) is 4x² + 4x + 1.
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Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is 2.7 times less than the price of ice cream, how much lemonade can you buy if you decide to spend all your money on it
Answers
Answer:
198
Step-by-step explanation:
From the equation, the number of lemonade will be 306.
How to solve the equation.Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:
= $245/70
= $3.5
The price of a glass of lemonade is 2.7 times less, the price will be:
= $3.5 - $2.7
= $0.8
Therefore, the number of lemonade that can be bought will be:
= 245/0.8
= 306
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Fill in the blanks:
A perfect square is a ________ whose ________ value is an ________. If you ________ any integer you will always get a ________ number.
Answers
Answer:
A perfect square is a number whose product value is an integer. If you change any integer you will always get a even number.
Step-by-step explanation:
I GIVEEE BRAINLISTTTTT
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Answer:
the ones with 16 dollar jeans
4x - 2 - 8x = 22
help
Answers
Answer:
x = -6
Step-by-step explanation:
4x - 2 - 8x = 22
-4x - 2 = 22
-4x = 24
4x = -24
x = -6
Steps:
4x-2-8x=22
4x-8x-2=22. (Combine like terms)
-4x-2(+2)=22 (+2). (Subtract 4x and 8 then add 2 on both sides which will cancel the negative 2)
-4x/-4=24/-4(divide -4 on both sides which leaves x)
X=-6 (answer)
It snowed 134.46 inches on Monday and 8.3 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
Answers
Answer:
142.76 inches
Step-by-step explanation:
This is a combination problem, so add the two quantities to find the sum.
134.46 inches + 8.3 inches = 142.76 inches
40 POINTSSS AND BRAINLIEST 40 POINTS
-4y + 6x = -48
The x-intercept is ______
The y-intercept is ______
Answers
Answer:
the x intercept is x=-8
the y intercept is y=12
Step-by-step explanation:
What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.
A. 225
B. 81
C. 3
D. No solution
Answers
sq rt of x= 12-3
sq rt of x=9
take the ^2 of both sides to get rid of the sq root
x^2= (9)^2
=81
Given the equation: - 4 √x - 3 = 12
solve for x;
Divide both sides by -4 in [1]; we get;
√x - 3 = -3
Squaring both sides we get;
x -3 = (3)²
or
x - 3 = 9
Add 3 both sides we get;
x - 3 + 3 = 9 + 3
Simplify:
x= 12
Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Substitute x= 12 in [1]
- 4√12 - 3 = 12
- 4√9 = 12
-4. 3 = 12
-12 = 12 False.
Therefore, the value of x is 12 and it is an extraneous solution.
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answer ???????????????????????
Answers
Answer:
6a + 6 is answer
Step-by-step explanation:
may be this is helpful!
i’ll give brainliest!!!
Answers
14a. =
15b. 2/3 is less than 0.667
16c. 3 7/8 is greater than 3.375
17d. 3/8 is less than 1/2
( 2 5/8 + 1/6) + 1 3/8
Answers
Answer:
25/6
Step-by-step explanation:
Answer:
25/6 or 4 1/6
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8 = 16/8
b) Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21
Write a previous answer (new numerator 21) over the denominator 8.
Two and five eighths is twenty-one eighths
Add: 21/8 + 1/6= 21 · 3/8 · 3 + 1 · 4/6 · 4= 63/24 + 4/24 = 63 + 4/24 = 67/24
Hope this helps!!
Convert to an improper fraction.
2 1/5
Answers
Answer:
11/5
Step-by-step explanation:
2 x 5 = 10
10 + 1 = 11
11/5
2+4x=2(2x+1)
Which statements are true?
Select each correct answer.
There is no value for x that will make the equation true.
The equation is an identity,
The solution is 2.
There are infinitely many solutions.
The equation is a contradiction.
There are no solutions.
The equation is true for all values of x.
Answers
1. There is no value of X that will make the equation true
2. The equation is an identity
4. There are infinite many solutions
5. The equation a contradiction
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answers
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
Solve 3|x – 6| = 12. Question 13 options: No solutions x = 4 or x = –4 x = 10 or x = 2 x = 2
Answers
Answer:
x=10
Step-by-step explanation:
divide by 3 on both sides then add 6 on both sides
Answer:
the answer is x=10, x=2
Step-by-step explanation:
hope that helps
Which of the following expressions is equivalent to 5 + 2(10 – 3)?
1. 7(10 – 3)
2. 70 – 3
3. 5 + 20 – 3
4. 5 + 2(7)
Answers
Answer:
4
Step-by-step explanation:
1. 7(10-3)
7×7
49
2. 70-3
67
3. 5+20-3
25-3
22
4.5+2(7)
5+14
24
5+2(10-3)
5+2×7
5+14
24
Maya's test score average decreased by 18 points this semester.
Write a signed number to represent this change in average.
Answers
Answer: -18
Step-by-step explanation:
It is decreasing so the now will become negative since it is same as losing some points.