Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2
Answer:
The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
Step-by-step explanation:
we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.
The system of equation given is:
[tex]y=6x-3\\y=x-2[/tex]
Solving:
Let:
[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]
Put value of y from equation 2 into equation 1
[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]
Now, put value of x in equation 2 to find value of y
[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]
So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
i can give a better answer if you give the recipe but for 24 pancakes its double and for 6 pancakes is half
please please fill in the blank ... and write division sentence i will mark you brainliest
Which statement describes a unit rate?
A.) Ben ate 1 hotdog.
B.) Ben drove 20 miles.
C.) Ben drove 45 miles per hour.
D.) Ben ate 5 chips and 1 pickle.
Answer:
C
Step-by-step explanation:
Because it is saying he drove 45 miles per hour.
Please help me I need to turn in tomorrow
Answer:
Answer: B. 5
Step-by-step explanation:
Combination
It's a selection of items from a collection, such that the order of selection does not matter.
It can be calculated by using factorials with the formula:
[tex]\displaystyle _mC_n=\frac{m!}{(m-n)!\ n!}[/tex]
Let's calculate:
[tex]\displaystyle _5C_1=\frac{5!}{(5-1)!\ 1!}[/tex]
[tex]\displaystyle _5C_1=\frac{5!}{(4)!\ 1!}[/tex]
Since 5!=5*4! and 1!=1:
[tex]\displaystyle _5C_1=\frac{5*4!}{(4)!\ 1!}[/tex]
Simplifying:
[tex]\displaystyle _5C_1=\frac{5}{1}=5[/tex]
Answer: B. 5
Roger has two blue ties, one red tie, two blue coats, and two orange coats. What is the probability that he wears either a blue tie or a blue coat
Answer:
4/7
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given
Total outcome = 2blue ties+1red tie+2blue coats+2orange coats
Total outcome = 7
If he wears a blue tie, then the expected outcome will be 2.
Probability that he wears blue tie = 2/7
If he wears a blue coat, then the expected outcome will be 2.
Probability that he wears blue coat = 2/7.
The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7
Which of these expressions is equivalent to?
Number 4
What are the zeros of f(x) = (x - 5)(x - 4)(x - 2)?
O5, -4,2
O 5, -4,-2
O 5, 4,2
O 5, 4, -2
Answer:
The zeros of f(x) are:
[tex]x=5,\:x=4,\:x=2[/tex]
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]
substituting f(x) = 0 to determine zeros of f(x)
[tex]0\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-5=0\quad \mathrm{or}\quad \:x-4=0\quad \mathrm{or}\quad \:x-2=0[/tex]
solving x-5=0
[tex]x-5=0[/tex]
adding 5 to both sides
[tex]x-5+5 = 0+5[/tex]
[tex]x = 5[/tex]
solving x-4=0
[tex]x-4=0[/tex]
adding 4 to both sides
[tex]x-4+4 = 0+4[/tex]
[tex]x = 4[/tex]
solving x-2=0
[tex]x-2=0[/tex]
adding 2 to both sides
[tex]x-2+2 = 0+2[/tex]
[tex]x = 2[/tex]
Therefore, the zeros of f(x) are:
[tex]x=5,\:x=4,\:x=2[/tex]
0.17 =
0.1090 =
,0.050 =
Step-by-step explanation:
I have no idea what you are asking to do lol
What value of c makes the polynomial below a perfect square?
x² +10x+ c
C=
A. 5
B. 25
C. 100
Ο Ο
D. 20
Answer:
i think its a hope it helps
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
did the test on ape x and 25 was the answer
Determine whether PQ and UV are parallel,
perpendicular, or neither.
1.P(-3,-2), Q(9,1), U(3,6), V(5,-2)
2.P(-10,7), Q(2,1), U(4,0), V(6,1)
3.P(1,1), Q(9,8), U(-6,1), V(2,8)
4.P(-4,0), Q(0,3), U(-4,-3), V(8,6)
5.P(-9,2), Q(0,1), U(-1,8), V(-2,-1)
Answer:
The answer is below
Step-by-step explanation:
The slope of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.
1)
[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]
Since the product of their slope is -1, they are perpendicular
2)
[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]
Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular
3)
[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]
Since the slopes are the same, they are parallel
4)
[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]
Since the slopes are the same, they are parallel
5)
[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]
Since the product of their slope is -1, they are perpendicular
Answer:
9
Step-by-step explanation:
Q. no 16
Convert 730 days into years.
Answer:
730 days =
2 calendar years
Time
730
2 years
Calendar year
Formula
divide the time value by 365
Answer:
2 years
Step-by-step explanation:
There are 365 days in a given year.
In order to solve this, divide 730 by 365:
730/365 = 2
Therefore, 730 days is 2 years.
Write an equation of the line that passes through a pair of points:
a. y = x +3
b. y = x -3
c. y = -x +2
d. y = -x -2
Answer:
c. y = -x +2
Step-by-step explanation:
pass (0,2): y interception = 2
Line: y=mx+b b=2
Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.
Answer:
Step-by-step explanation:
total cost= c
containers of slime=s
c=5s+10
i giveeee brainlilster
Answer:
84
Step-by-step explanation:
Set up a proportion. The ratio number of gray mice corresponds (is across from) the total number of gray mice (24)
5/2 = x/24 Cross multliply
2*x = 5*24 Multiply 5 by 24
2x = 120 Divide by 2
x = 120/2
x = 60 Which represents the number of white mice.
So the white mice + gray mice = 60 + 24 = 84
Sarah has 15 fewer counters than Elisa. Elisa has 39 counters. How many counters does Sarah have.
Answer:
24
Step-by-step explanation:
39-15=24
Answer:
24
Step-by-step explanation:
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
ОО
True
Answer:
Concept: Linear Systems
False, the slope should be 2x not 2y.Find the 59th term of the following arithmetic sequence.
5, 13, 21, 29,
Answer:
469
Step-by-step explanation:
1. use the formula:
[tex]a_n=a_1+d*(n-1);[/tex]
where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.
2. according the formula above:
[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]
A movie theater sends out a coupon for 65% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answer:150
Step-by-step explanation:
The equation represents the selling price of a ticket with 65% off on the original price x is y = 0.35x and its graph has been drawn.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
After that, we need to substitute the values of x's and y's into the coordinate geometry.
In order to plot the graph, we need to find out y's values corresponding to x's value
As per the given,
x = original price
y = selling price
Since tickets sold 65% off x = (65/100)x = 0.65x
y = x - 0.65x
y = 0.35x
The graph of the above function has been drawn below with a slope of 0.65.
For more information about the graph of a function
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consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?
1,1,2,3,,5,8
Answer:
144
Step-by-step explanation:
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946
so you can see the first term larger than 120 is the 144.
The first term in the sequence to exceed 120 will be 144.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is given below.
1, 1, 2, 3, 5, 8.
The sequence is given as,
aₙ = aₙ₋₁ + aₙ₋₂
The first and second terms are given as,
a₁ = 1 and a₂ = 1
Then the 7th term is given as,
a₇ = a₆ + a₅
a₇ = 5 + 8
a₇ = 13
Then the 8th term is given as,
a₈ = a₇ + a₆
a₈ = 13 + 8
a₈ = 21
Then the 12th term is given as,
a₁₂ = a₁₁ + a₁₀
a₁₂ = 89 + 55
a₁₂ = 144
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.
The first term in the sequence to exceed 120 will be 144.
More about the sequence link is given below.
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Tom and Diane start to race. Tom takes 4 seconds to run 25 yards. Diane runs 20 yards in 3 seconds.
1. who runs faster? Explain how you know.
Answer:
Diane is faster since her speed is higher.
Step-by-step explanation:
We can find each speed in yards per second.
Tom:
25 yards / 4 seconds = 6.25 yards/second
Diane:
20 yards / 3 seconds = 6.67 yards/second
Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.
Answer: Diane is faster since her speed is higher.
the quantity is a rate in formula d=rt.
Answer:
hi
Step-by-step explanation:
Distance Formula D RT
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour
What is the sum of the expressions below? (9x - 8y) + (2x - 6) + (-y + 3)
Answer: 11x - 9y - 3
Step-by-step explanation:
Collect like terms - start with x
9x - 8y +2x - 6 - y + 3
11x - 8y - 6 - y + 3
Collect all y terms
11x - 9y - 6 +3
Collect all integers
11x - 9y - 3 - final answer
sunine daughter of mrs.kirti, sunine is 8years old and mrs.kirti is 2years younger than four times kirti's age, how old is mrs.kirti?
Answer:
30
Step-by-step explanation:
Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.
What is the product of (9)(-9)-1)?
-81
-1
1
81
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: On average, how many accidents are there in the intersection in a week
Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.
What type of sample is this?
The sampling is a an example of random sampling.
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.
From each of six models selects 3 models and Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.
Thus clearly the sample is random sampling.
Hence, The sampling is a an example of random sampling.
Learn more about probability here;
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Which expression is equivalent to the expression below? p+p+p+p+p+p+q+q+q+q p+p+p+p+p+p+q+q+q+q
Answer:
12p + 8q
Step-by-step explanation:
what is the value of the expression 2x^3 when x=-2 and y=3
Answer:
2x^3
2*-2^3
2*-8
-16
therefore answer is -16
x + 2/3 = −4
A x = −3 1/3x = −313
B x = −4 2/3x = −423
C x = 3 1/3x = 313
D x = 4 2/3
Answer:
b.
Step-by-step explanation:
x + 2/3 = -4 [multiply the entire equation by 3 to get rid of denominator]
3x + 2 = -12 [subtract 2 from both sides of equation]
3x = -14 [divide by 3 to isolate x]
x = -14/3 or -4 2/3