Which of the following inequalities represents the graph shown below on
the real number line?
Answers
Answer:
-3 < x ≤ 1
Step-by-step explanation:
To our left, we have an unshaded circle at -3. This means that -3 is included in the possible value of x. And as such, we can say -3 < x.
To our right, we have a shaded circle at 1. This means 1 is included in the possible values of x. And as such, we can say x ≤ 1.
Thus, we can represent the two statements as one, thus:
-3 < x ≤ 1
Related Questions
FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answers
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
What is the probability you will get one tail? Toss a coin three times
Answers
Answer:
3/8
Step-by-step explanation:
We want the probability of getting a tail in three trials.
We will use binomial distribution, given by the formula:
[tex]\displaystyle P(x)={n\choose x}p^xq^{n-x}[/tex]
We want one success out of three trials. So, n = 3 and x = 1.
The probability for success in one trial is 1/2. So, p = 1/2.
And the probability for failure in one trial is 1/2. q = 1/2.
Therefore, the probability of getting a tail is:
[tex]\displaystyle P(1)={3\choose 1}\Big(\frac{1}{2}\Big)\Big(\frac{1}{2}\Big)^2[/tex]
Evaluate:
[tex]\displaystyle P(1)=3\Big(\frac{1}{8}\Big)=\frac{3}{8}[/tex]
The probability of getting a tail by tossing a coin thrice is 3/8.
Edit:
My apologies. If you haven't learned the binomial distribution yet, below is another method.
Using the fundamental counting principle, we have a total of 2 times 2 times 2 or 8 total outcomes.
We want only one tail. This can be the first toss, the second toss, or the third toss.
So, out of 8 total outcomes, only 3 are favorable.
Hence, the probability of getting one tail by tossing a coin thrice is 3/8.
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answers
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
80.6 divided by 6 please answer
Answers
Answer:
13.433333333
Step-by-step explanation:
If the sensor started working 15 minutes into the draining, how much was in the tank to begin with?
Answers
Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x
Answers
Answer:
x² + x + 1 and remainder 2Step-by-step explanation:
Given
(x³ + 1) ÷ (x - 1)Without using a synthetic division, we can use easier method to find the quotient.
We know the formula:
x³ - 1 = (x - 1)(x² + x + 1)Rewrite the given as:
x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2
The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be p = x³ + 1
Let the second equation be q = x - 1
A = p / q
On simplifying , we get
A = x³ + 1 / ( x - 1 )
On dividing , we get the quotient as
A = x² + ( x² + 1 ) / ( x - 1 )
A = x³ + x + 1 + ( 2/x + 1 )
Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )
To learn more about equations click :
https://brainly.com/question/19297665
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Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 102 parts are summarized as follows: edge finish excellent good surface finish excellent 84 4 good 5 9 Let A denote the event that a sample has excellent surface finish, and let B denote the event that a sample has excellent edge finish. If a part is selected at random, determine the following probabilities. Round your answers to three decimal places (e.g. 98.765). (a) Upper P left-parenthesis Upper A right-parenthesis equalsEntry field with correct answer .8627 (b) Upper P left-parenthesis Upper B right-parenthesis equalsEntry field with correct answer .8725 (c) Upper P left-parenthesis Upper A prime right-parenthesis equalsEntry field with correct answer .1372 (d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equalsEntry field with correct answer .8235 (e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equalsEntry field with correct answer .9117 (f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equalsEntry field with incorrect answer .9214
Answers
Answer:
a) P (A)= 88/102= 0.8627
(b) P (B)= 89/102= 0.8725
c) P (A`) = 14/102 = 0.1372
(d) P (A∩B) = 84/102 =0.8235
(e) P(AUB)= 93/102 = 0.9117
(f)P (A`UB) = 98/102= 0.96078
Step-by-step explanation:
edge
finish excellent good Total
(A )surface finish excellent 84 4 88
good ( B) ⇵ 5 9 14
Total 89 13 102
a) Upper P left-parenthesis Upper A right-parenthesis equals
P (A)= 88/102= 0.8627
All the elements of set A = 84+4= 88
(b) Upper P left-parenthesis Upper B right-parenthesis equals
P (B)= 89/102= 0.8725
All the elements of set B = 84+5= 89
c) Upper P left-parenthesis Upper A prime right-parenthesis equal
P (A`) = 14/102 = 0.1372
All the elements of Universal set U which are not elements of set A = 102- 88= 14
(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals
P (A∩B) = 84/102 =0.8235
Only those elements of set A and set B which are common
(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals
P(AUB)= 93/102 = 0.9117
Totalling elements of set A and B= 88+5= 93
(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals
P (A`UB) = 98/102= 0.96078
All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Answers
Answer:
$16
Step-by-step explanation:
[tex]0.75x = 12\\3x = 48\\x = 16[/tex]
Consider the expression 5x-20. Write an expression that if set equal to 5x-20 would result in the equation having no solution.
Answers
Answer:
5x=5x-20 or -20=5x-20
Step-by-step explanation:
Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
Answers
For more explanation
....
3 4/5 • 3 1/2 divide reduce to the lowest term
Answers
Answer:
133/10
Step-by-step explanation:
first turn into proper fraction
19/5 * 7/2 = 133/10
HELPPPPPPPPPPPP PLSSSSSSSSSSSSSS
Answers
Answer: it’s C
Step-by-step explanation:
d,
hope this helps! May I have brainliest please? :D
Evaluate.
1 to the power of 3
Answers
Answer:
3
Step-by-step explanation:
ndnsjsjwnanaksodbsjcif
Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?
15x\geq 30015x≥300
\frac{x}{300} \geq 15
300
x
≥15
15x \leq 30015x≤300
\frac{x}{300} \leq 15
300
x
≤15
Answers
Answer:
20 weeks
Step-by-step explanation:
30/15=2
300/15=20
20 weeks
please help!! i’m stuck and i’ll give brainliest but i need an explanation for the answer
Answers
9514 1404 393
Answer:
-12
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as ...
average rate of change = ((f(b) -f(a))/(b -a)
For the given function and interval, this is ...
average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)
= (4 -10)/(0.5) = -12
The average rate of change is -12 on the interval.
__
The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.
Suppose restaurant A's chicken salad contains 6more grams of fat than restaurant B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56,where xrepresents the number of fat grams in the restaurant B's chicken salad and x plus 6represents the number of fat grams in restaurant A's chicken salad.
Answers
Answer:
Restaurant A: 31 grams of fat
Restaurant B: 25 grams of fat
Step-by-step explanation:
[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]
5. Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games.
Answers
graph y < X- 2, Y > -4X-1
Answers
Kevin was thinking of number Kevin adds 5 to it,then doubles and gets an answer of 48.4. What was original numbers
Answers
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answers
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
Mary French uses gas to heat her home. She has accumulated the following information regarding her monthly gas bill and monthly heating degree-days. The heating degree-days value for a month is found by first subtracting the average temperature for each day from 65 degrees and then summing these daily amounts together for the month. Month Heating Degree-Days Gas Bill February 1,900 $195 April 600 $78 The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is:
Answers
Answer:
[tex]Y=$24+0.09X[/tex]
Step-by-step explanation:
From the question we are told that
February Heat [tex]H_1=1900\textdegree[/tex]
February Gas [tex]G_1 =\$195[/tex]
April Heat [tex]H_2=600\textdegree[/tex]
April Gas [tex]G_2=\$78[/tex]
Generally equation for heating degree-days X is mathematically given by
[tex]X=\frac{\triangle gas\ bills}{\triangle Heating\ days}[/tex]
[tex]X=\frac{195-78}{1900-600}[/tex]
[tex]X=\$ 0.09[/tex]
Generally the equation for gas bill Y is mathematically represented by
[tex]Y=78-(600*0.09)\\Y=\$24[/tex]
The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is
[tex]Y=$24+0.09X[/tex]
If 8 people can be seated at a dinner table, how many tables are required to seat 48 people?
Answers
Answer:
6 tables
Step-by-step explanation:
8 multiply by 6 gives you 48
2.5 in 2 in 3.5 in Note Numbers are rounded to the nearest tenth in the image What is the approximate surface area of the triangular prism represented by the net shown above? OA about 20 125 square inches OB. about 21 875 square inches OC about 23.25 square inches D. about 25 75 square inches
Answers
Answer:
Its C
Step-by-step explanation:
Derrick's dad bought new tires for $900
using a credit card. His card has an
interest rate of 19%. If he has no other
charges on his card and does not make a
payment, how much money will he owe
the credit card company after one
month?
Answers
Answer:
171
Step-by-step explanation:
9 * 19 is 171 dollars so that's what he'll owe
A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My
Answers
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If angle a= 143 degrees and angle c = 61 degrees, in what is the measure of angle b?
Answers
3. What is the product of 22.5 and 3.32?
A. 74.700
B. 747.00
C. 13.950
D. 139.50
Answers
Answer:
A
Step-by-step explanation:
22.5 times 3.32 results in 74.7, or A.
Soo I need help... can u help?
Answers
Answer:
I think its (6042 = 1780 + a) but I'm not really sure though but I hope if that helped somehow
6042= 1708 + a
را آزرا
What is the value of x in the proportion?
Answers
Answer:
Step-by-step explanation:
Cross multiply on both sides
= (x + 1) (21) = 15(x + 3)
= 21x + 21 = 15x + 45
Bringing like terms on one side
21x - 15x = 45 - 21
= 6x = 24
x = 24/6 = 4
Option A is the correct answer
[tex] =\tt (a) \: 4[/tex]
Steps to derive correct option :[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]
[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]
[tex] = 21x + 21 = 15x + 45[/tex]
[tex] = 21x + 21 - 15x = 45[/tex]
[tex] = 6x + 21 = 45[/tex]
[tex] = 6x = 45 - 21[/tex]
[tex] = 6x = 24[/tex]
[tex] = x = \frac{24}{6} [/tex]
[tex] =\color{plum} \bold{x = 4}[/tex]
Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :
[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]
[tex] = \frac{5}{7} = \frac{5}{7} [/tex]
Therefore, the value of x in this proportion = 4
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Answers
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).