Solve the following inequality using both the graphical and algebraic approach:
5-x<2(x - 3) + 5
A) x<2 Graph A
B) x>2 Graph A
C) x<2 Graph B
D) x>2 Graph B
Answers
Answer:
a
Step-by-step explanation:
a
The correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, an inequality 5-x<2(x - 3) + 5
On solving, we get,
5-x < 2x-6+5
5-x < 2x-1
5+1 < 3x
x < 2
Let y₁ = 5-x, and y₂ = 2(x - 3) + 5
Plotting the graph, we get the graph A
Hence, the correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A
For more references on inequality, click;
https://brainly.com/question/28823603
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Related Questions
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answers
Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept
slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4
y = 4x+b
3=4(1)+b
3=4+b
-1 =b
y=4x-1
f(x)=4x-1 slope = 4
g(x)=2x -7 slope = 2
b) y intercept for f(x) is -1
and g(x) is -7
so f(x) is having greater y intercept
1+3 pls help me nowwwww
Answers
Answer:
4
Step-by-step explanation:
3=1+1+1,
1+1+1+1=4 :p
Factor 15x-10x^3
PLEASE ASNWER ASAP
Answers
Answer:
[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]
Step-by-step explanation:
[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807The area of a rectangular parking lot is 4947 m2.
If the length of the parking lot is 97 m, what is its width?
Width of the parking lot:
The perimeter of a rectangular pool is 304 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
Answers
Answer:
1. width = 51 m
2. length = 84 m
Step-by-step explanation:
So remember, the area is (length * width).
It is given that the length is 97, and the area is 4947.
So plug this into a formula:
length * width = area
97 * width = 4947
Solve using inverse operations;
97 * width = 4947
/97 /97
width = 51m
The perimeter of a rectangle can be found by doing, (2 * (length + width)).
The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:
2 * ( length + width) = perimeter
2 * (length + 68 ) = 304
Distribute;
2 * ( length + 68) = 304
2 length + 136 = 304
Inverse operations;
2length + 136 = 304
-136 -136
2length = 168
/2 /2
length = 84m
Answer:
The answer for number 1 is width = 51 m
The answer for number 2 is length = 84 m
Step-by-step explanation:
you deposit 10,000 in an account that pays 3% annual interest compounded monthly. How much will you have in 5 years?
Answers
Answer:
$2,833.59
Step-by-step explanation:
1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00
2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00
3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00
4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00
5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00
Answer:
How do i take questions down like this one?
Step-by-step explanation:
PLEASSSEEE HELPPP ASAPPPPP
Answers
Answer:
first one is 32
the second one is 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let RS = x , then PS = x²
2x² + 2x = 84
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = 6
PQ and RS are 6
QR and SP are 36
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answers
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
Which of these points is closest to the point (7,1)?
Answers
Answer:
6,7
Step-by-step explanation:
Slope for (20,8)(9,16)?
Answers
Answer:
m=-8/11
Step-by-step explanation:
[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]
[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]
∠7 and angle ______ are supplementary??
a.)∠5 W
b.)∠13 K
Answers
Answer:
b angle 13
Step-by-step explanation:
I'm pretty sure
Answer:
a). ∠5
Step-by-step explanation:
both angles ∠7 and ∠5 together add up to 180°
What is 50 decreased by 50%
Answers
Answer:
25
Step-by-step explanation:
50% (1/2) of 50 is 25
50-25=25
Answer:
i 100% sure it 25
Step-by-step explanation:
21947÷205 divide and check the result
Answers
Answer (3dp):
107.058
Step-by-step explanation:
(image is explanation)
Solve the system by substitution or elimination. {y=2x+8y=3x−1 A. (95,585) B. (7, 22) C. (9, 26) D. (75,545)
Answers
Answer:
C. (9, 26)
Step-by-step explanation:
By Substitution:
y = 2x + 8
y = 3x - 1
---------------------
2x + 8 = 3x - 1
-x + 8 = -1
-x = -9
x = 9
Now we can choose either of the two equations given to solve for y:
y = 2x + 8
y = 2(9) + 8
y = 18 + 8
y = 26
(9, 26)
By Elimination:
For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables
y = 2x + 8
2x - y = -8
y = 3x - 1
-3x + y = -1
-----------------
2x - y = -8
-3x + y = -1
-----------------
-x = -9
x = 9
2x - y = -8
2(9) - y = -8
18 - y = -8
-y = -26
y = 26
(9, 26)
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answers
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
Find the rate of change for the function h(x) = 2–x on the interval –2 ≤ x ≤ -1.
0
-2
4
Plz!!! i really need help with this
Answers
Answer:
3002
Step-by-step explanation:
i hope i helped
A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answers
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
Please answer this correctly without making mistakes
Answers
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
Sooo the 6.72 is the price of each gallon and since there is 16 cups per gallon you divide 6.72 by 16 and your answer is 0.42
13,84,85 are the last ones please help
Answers
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
Is 319,459 divisible by 2?
yes
no
Submit
Answers
Answer:
no
Step-by-step explanation:
319,459 is not an even number
Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?
Answers
Answer:12
Step-by-step explanation:
18/6=3 cups in each box
3*2=6 cups broke=2 boxes
18-6=12 cups are unbroken
{ vowels in the word ALGEBRA}
Answers
Answer:
3 counting ALL VOWELS, or, 2 counting no double ups
Step-by-step explanation:
vowels - a, e, i, o, u
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answers
Answer:
124345
Step-by-step explanation:
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answers
Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Is [tex]\sqrt{103}[/tex] irrational or rational? What is your reasoning?
Answers
Answer: irrational
Step-by-step explanation:
[tex]\sqrt{103}[/tex] is an irrational number because it is not a perfect square. Irrational numbers keep on terminating, so the answer to the question is irrational.
Hope this helps you!
I need step by step help on how to work out this percentage question
Answers
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3
8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
Answers
what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0
Answers
Answer:
y=0x-5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
The graph displays the distance a CO2 car traveled in a race.
Help!!!
Answers
Answer:
5 seconds per foot
Step-by-step explanation:
Answer:A
Step-by-step explanation:
HELP ME PLEASEEEEEESS
Answers
Answer:
b
Step-by-step explanation:
Calculator
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