Condition for infinite number of solutions (coincident lines) :-
=》a₁/a₂ = b₁/b₂ = c₁/c₂
Equations :-
1) y = -3x + 6
=》y + 3x - 6 = 0
2) By - 9x + 18 = 0
Here,
a₁ = 1, a₂ = B
b₁ = 3, b₂ = -9
c₁ = -6, c₂ = 18
Now substitute..
a₁/a₂ = b₁/b₂ = c₁/c₂
=》1/B = 3/-9 = -6/18
=》1/B = -3/9 = -6/18
Now,
=》a₁/a₂ = b₁/b₂
=》1/B = -3/9 (cross multiplication)
=》1 × 9 = -3B
=》9 = -3B
=》9/-3 = B
=》-3 = B
OR
=》a₁/a₂ = c₁/c₂
=》1/B = -6/18 (cross multiplication)
=》1 × 18 = -6B
=》 18 = -6B
=》18/-6 = B
=》-3 = B
The value of B if the following linear system has an infinite number of solutions is -3.
_______
RainbowSalt2222 ☔
Arranging the real number in ascending order -8,2,0,9,-10
Hello,
- 10, - 8, 0, 2, 9
The ascending order is always : negative numbers, zero, positive numbers
Answer:
-10, -8, 0, 2, 9
-3(p+2) when p=6
Anybody
Answer:
-24
Step-by-step explanation:
-3(p+2)
-3 ( 6+2 )
-3(8)
-24
3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?
Answer:
27 minutes
Step-by-step explanation:
please check the image it has all the steps to solve it . Thank you.
Complete the statement:
If AB, CD, then
a. AB - CD
b. AB = CD
C. ABCD
d. AB - CD
-
9,962÷41. What dose it =
Answer:
242.975609756
Step-by-step explanation:
Answer:
242.975
Step-by-step explanation:
TIP: u can use a calculator if your teacher allows you, it would be faster :)
sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.
For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]The probability that at least one household has a television set is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]
0.99999984 = 99.999984% probability that at least one household has a television set.
A similar problem is given at https://brainly.com/question/24863377
ANSWER THIS PLEASE I NEED HELP
Answer:
1st part:
0.65= 13/2
0.425=4251000
9.35=9 7/20
2nd part:
19/25= 0.76
311/500=0.622
5/8=0.625
14 3/5=14.6.
Step-by-step explanation:
hope this helped good luck!<3
how many times does 1 go in 9
Answer:
9 times
Step-by-step explanation:
1 goes into 9, 9 times
1+1=2
2+1=3
3+1=4
4+1=5
5+1=6
6+1=7
7+1=8
8+1=9
solve for x in equation !! ?
Pretty sure the answer is d
The women's rights movement gained momentum in the 1960s as leaders like Betty Friedan and Gloria Steinem began sharing
their beliefs and concerns regarding discrimination against women. The Equal Rights Amendment called for an end to
discrimination based on gender. Which statement is true regarding the ERA?
4. 8 is what percent of 18?
Answer:
the answer is 26.6666667 and when rounded off is 26.7
How many solutions for
55l=50l+5
Answer:
Zero
Step-by-step explanation:
The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.
Uhm is this a function?
Answer:
yes it is
Step-by-step explanation:
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
Solve the inequality.
2(x+4) < 2 - x
Answer:
x < -2
Step-by-step explanation:
2(x+4)<2-x
2x+8<2-x
+x +x
3x+8<2
-8 -8
3x<-6
x<-2 Divide both sides by 3
Hope this helps!
Answer:
2x+8<2-x
8-2<-x-2x
-3x>6
x>6/3
x<2
Step-by-step explanation:
I think it's smtg like this
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
Solve each equation for the specified variable.
a. a-q=a+sx for x
b. kx-bf=fy/m for y
c. a-q=a+sx for q
d. kx-bf=fy/m for m
PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH
Answer:
a.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
[tex]\frac{-q}{s} = \frac{sx}{s}[/tex]
x = [tex]\frac{-q}{s}[/tex]
b.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
mkx - mbf = fy
[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]
y = [tex]\frac{mkx - mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - mb
c.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
-q × (-1) = sx × (-1)
q = -sx
d.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
m(kx - bf) = fy
[tex]\frac{m(kx - bf)}{kx - bf}[/tex] = [tex]\frac{fy}{kx - bf}[/tex]
m = [tex]\frac{fy}{kx - bf}[/tex]
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice.
Answer:
45
Step-by-step explanation:
15+15+15=45
that would increase her practice time by 45 minutes
Determine the Domain and Range for promblems 1 and 2.
Answer:
Nvgjvfknh
Step-by-step explanation:
which is the correct answer??
geometry
Answer:
SAS || Side - Angle - Side
Step-by-step explanation:
You have 2 sets of congruent sides, and one set of congruent angles between them. (SAS)
That angle is congruent because ∠QRP and ∠TRS are vertical angles, and vertical angles have the same measurement.
Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
decimal place.
________ < μ < _______
Answer: [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
===========================================================
Explanation:
At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.
We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.
[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]
This value is approximate.
Do the same for the upper boundary as well
[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]
This value is also approximate.
We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5
Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].
Side note: The value 3.545 calculated earlier is the approximate margin of error.
Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?
Answer:
15h+10n
Step-by-step explanation:
You forgot to list the equations.
10 * n = 10n = $ paid for amount of televisions sold
15 * h = 15h = $ paid for hours worked
15h + 10n = Total amount paid
The answer for n television sold and h hours working is 15h +10n.
Expression:
An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations
Given that
Cliff earned for one hour = $15
Therefore for h hours = 15h
Also he earned additional for each television sold = $10
Therefore for n television sold = 10n
How to add the algebraic terms?Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.
Therefore the total earning is the addition of both
15h + 10n
The final answer is 15h + 10n
Learn more about expression here-
https://brainly.com/question/4344214
#SPJ2
Can someone check my work?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can check your answer in 1 step.
We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.
We can mutliply to figure this out:
[tex]37*26=962[/tex]
Therefore, yes, your answer is correct!
Cheers!
Answer:
$26=1hr
x =37hr
$26 x 37=$ 962
Step-by-step explanation:
13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00
9514 1404 393
Answer:
b. $28.37
Step-by-step explanation:
In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.
Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
-3 1/8 divided by 3 3/4 = ?
whats the answer to this question, and what you did to get this answer
Answer:
-5/6
Step-by-step explanation:
1. Change 3/4 to 6/8 by cancelling the common factors.
2. Divide how you normally would
Answer:
- [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
-3[tex]\frac{1}{8}[/tex] ÷ 3[tex]\frac{3}{4}[/tex]
[tex]\frac{-25}{8}[/tex] ÷ [tex]\frac{15}{4}[/tex]
[tex]\frac{-25}{8}[/tex] × [tex]\frac{4}{15}[/tex]
[tex]\frac{-100}{120}[/tex]
[tex]\frac{-50}{60}[/tex]
- [tex]\frac{5}{6}[/tex]
* Keep in mind that - [tex]\frac{5}{6}[/tex], [tex]\frac{-5}{6}[/tex], and [tex]\frac{5}{-6}[/tex] mean the same thing!
First, I converted -3 1/8 and 3 3/4 to improper fractions. I then switched the sign of division to multiplication and changed 15/4 to 4/15. I then multiplied -25 with 4 and 8 with 15, resulting in -100/120. I simplified this to -5/6.
Hope this helps, and if you have any questions, let me know!
Help help help help help help help help help
Answer:
8
Step-by-step explanation:
4+4 =8
Answer:
y = 8
Step-by-step explanation:
To find this simply you have to put values instead of x and y,
For an example,
If the value of x is 1, you have to put 1 instead of x to the equation to find the value of y,
x = 1,
y = x + 4
y = 1 + 4
y = 5
In the same way, you can find the value of y when the value of x is 4.
x = 4,
y = x + 4
y = 4 + 4
y = 8
Hope this helps you.
Let me know if you have any other questions :-)
Give the two missing numbers in the following sequences.8,9,11,14,?,23,?
Answer:
18 and 29
Step-by-step explanation:
8+0=8
8+1=9
9+2=11
11+3=14
14+4=18
18+5=23
23+6=29
As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)