What is the solution to this system of equations? A.P.E.X btw
A) (4, -2)
B) (-2, 4)
C) (-1, 2)
D) (2, -1 )
Answers
The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,
x + 6 = -0.5x + 3
Simplifying and solving for x, we get:
1.5x = -3
x = -2
Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,
y = x + 6
y = -2 + 6
y = 4
Therefore, the solution to the system of equations is (x, y) = (-2, 4).
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Related Questions
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up
Answers
Answer:
a) 26.79%, b) 50.42% and c) 22.79%
Step-by-step explanation:
a. What is the probability that both Dave and Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%
b. What is the probability that at least one of them will show up?
There are two possibilities for this to happen:
Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%
Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%
Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.
c. What is the probability that neither Dave nor Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(0.53)(0.43)=0.2279=22.79%
ackground information: A manuscript is a handmade book. They were often illustrated with hand-produced drawings, a process called “illumination.” They were very expensive to produce and own in the Middle Ages.
Read this excerpt from “Fashion in the Middle Ages” on manuscripts.
Why did illuminators choose certain types of clothing for figures that appeared in manuscripts?
Answers
Answer:
A.to reinforce the social hierarchy of the Middle Ages
Step-by-step explanation:
i took the assignment
Answer:
the guy is right its a.
Step-by-step explanation:
The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s tank hold?
Answers
Answer:
To calculate this you just have to calculate a rule of three with both gas tanks, so if the dad´s car holds 12 gallons of gas, and the mom´s car holds 50% more that means 150% of in the rule of three: So the total amount of gallons that the mom´s car tank can hold is 18 gallons.
Convert the equation to vertex form.
y = x2 – 8x + 10
Answers
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
Please Helppplpppppp
Answers
I hope this helps and have a great day!
RIP my points went down alot ;-; gived away 1k+ points today. sry i couldnt give more. ill give brainliest to first person that answered
Answers
Heya, how are you doing today ^-^
1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
g salt
g yeast
mL oil
mL water
Answers
Answer:
360
Step-by-step explanation:
&$5%4645$655$456&&&66
I need some help with problem 9
Answers
Answer:
it's really hard to see the numbers.. but I can explain how to do it. the 5 is on the x axis and the 0 is on the y axis. if you from 0 to 5 on the x axis and the line crosses through that point then it is true.
a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?
Answers
Answer:
a)46 tablet approx
b)277 ml approx
Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answers
Answer:
She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
[tex]C = 2\pi r[/tex]
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
[tex]C = \pi d[/tex]
Since the circunference is 50.24 inches, the diameter will be of:
[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]
What is the equivalent of 2/6
Answers
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?
Answers
Answer:
f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2
(the > has a line under it)
Step-by-step explanation:
Answer:
f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2
Step-by-step explanation:
The other person left some numbers out.
Which of these systems of equations has an infinite number of solutions?
Answers
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
They're the same equation meaning they'll be on the same line. They would have infinite solutions.
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
Divide.
68, 302 divided by 1,000
Enter the exact quotient.
Answers
Answer:
68.30200
Step-by-step explanation:
The exact quotient of 68,302 ÷ 1000 is 68.302.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
68,302 ÷ 1000
= 68,302 / 1000
= 68.302
Thus,
The quotient is 68.302.
Learn more about expressions here:
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1a) solve the equation
Answers
Solve for k.
B=1/2kq
Answers
Answer:
k= 2b/q
Step-by-step explanation:
see pic for explanation
-4-2-2) - 2x + 5 = 31
Answers
Answer:
2x+5=31 is the most common correct answer
8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms
Answers
Answer:
wag na baka imyday mo pa
Step-by-step explanation:
hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answers
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answers
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?
Answers
Given:
The table for a linear function.
To find:
The equation of the linear function.
Solution:
If a linear function passes through two points, then the equation of linear function is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is
[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]
[tex]y+2=\dfrac{2}{2}(x-2)[/tex]
[tex]y+2=x-2[/tex]
Subtracting 2 from both sides.
[tex]y+2-2=x-2-2[/tex]
[tex]y=x-4[/tex]
So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.
Therefore, the required linear equation is [tex]y=x-4[/tex].
Can someone please help me ..
Answers
Answer:
A.) Coefficient
Step-by-step explanation:
While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them
Which is greater than 4?
Answers
do you mean numbers 5 6 7 8 9 10
Answer:
Every number except for 0, 1,2,3
pls solve ii need it
Answers
Answer:
multiply each decimal
Step-by-step explanation:
Answer:
1.144
Step-by-step explanation:
multiply 1.1x0.8x1.3
What’s the equation of the line?
Answers
Answer:
y= -7
Step-by-step explanation:
I’m gonna die please
Answers
Answer:
The answer is B.
hope this helps
have a good day :)
Step-by-step explanation:
v=pi*r^2h
Answer:
5626.9m³
Step-by-step explanation:
V = πr²h
radius = 8
height = 28
to make it easier first step is to get the multiply the radius and the height but first multiple the radius by itself
=> 8 x 8 = 64
=> 64 x 28 = 1792
then multiply 1792 by π (3.14)
=> 1792 x 3.14 = 5626.88
when you round the answer it will be 5626.9
hope this helps and is right :)
Suppose that You had launch the message 6.75 feet west from the edge of the ravine Instead of 5 feet west from the edge of the ravine would the message make it across the ravine show your work and explain your answer
Answers
Answer:
6.75 times 5 would be 17.1
Step-by-step explanation:
What is the LCM and GCF of 10 and 21
Answers
Answer:
210, 1
Step-by-step explanation:
LCM =210.
HCF or GCF =1
Determine the graph that represents a function.
Answers
What is the product?
(X^4)(3x-2)(4x2 +5x)?
Answers
Answer:
12x^7+7x^6-10x^5
Step-by-step explanation:
(X^4)(12x³+15x²-8x²-10x)
(X^4)(12x³+7x²-10x)
12x^7+7x^6-10x^5