Answer:
x = 3
y = -1
Step-by-step explanation:
in this system, we are given that y = x - 4
this means that we can take the other equation and replace y with x - 4:
so 2x - 3y=9 turns into
2x -3 (x - 4) = 9
distribute -3 to x and -4:
2x - 3x + 12 = 9
add like terms and subtract 12 from both sides
-x = -3
divide both sides by -1 to get rid of the negative on x:
x = 3
now we have the value of x, so we can replace the x in y = x - 4 with the value we just got
so y = x- 4 turns into
y = (3) - 4
solve and you get
y = -1
Simplify 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3 . (2 points) 5 over 3 5 x minus 3 over 3 open parentheses x minus 1 close parentheses 1 5 x minus 12 over 3 open parentheses x minus 4 close parentheses
Given:
Expression is
[tex]\dfrac{\dfrac{1}{x-3}+\dfrac{4}{x}}{\dfrac{4}{x}-\dfrac{1}{x-3}}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]\dfrac{\dfrac{1}{x-3}+\dfrac{4}{x}}{\dfrac{4}{x}-\dfrac{1}{x-3}}[/tex]
[tex]=\dfrac{\dfrac{1(x)+4(x-3)}{(x-3)x}}{\dfrac{4(x-3)-1(x)}{x(x-3)}}[/tex]
[tex]=\dfrac{x+4x-12}{(x-3)x}\times \dfrac{x(x-3)}{4x-12-x}[/tex]
[tex]=\dfrac{5x-12}{3x-12}[/tex]
[tex]=\dfrac{5x-12}{3(x-4)}[/tex]
Therefore, the last option is correct, i.e., [tex]\dfrac{5x-12}{3(x-4)}[/tex].
20 point question pls help
Answer: y = -1/3x - 1
Step-by-step explanation:
Slope-intercept = y = Mx + b
M = slope
B= y
Rochelle can run 800 meters in 5 minut
At that rate, how many meters can
Rochelle run in 9 minutes?
8/12- 3/8 show your work with a quation
Answer:
Here's how to subtract 3/8 from 8/12:
8
12
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 8 by 8, and get 64.
Then we multiply 3 by 12, and get 36.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
64
96
−
36
96
Step 2
Since our denominators match, we can subtract the numerators.
64 − 36 = 28
So the answer is:
28
96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
28
96
÷ 2 =
14
48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
14
48
÷ 2 =
7
24
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
There you have it! The final answer is: 0.29166666666
Carmen got a puppy for her birthday. Her mom wants it kept outside when the weather
is nice, so Carmen has decided to fence a rectangular area 9 feet long by 6 feet wide for
the puppy to play in. How many feet of fence does Carmen need?
Answer:
54ft of fence for the PUPPY
Step-by-step explanation:
(-5,-3) (5,-4) slope =
Answer: -1/10
Step-by-step explanation:
Y2- Y1 over X2 - X1
-4 - - 3 over 5 - - 5
-4 + 3 over 5 + 5
-1 over 10
Help I only got a limited time
Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
What is the equation of the graph below?
Ay=- (x - 2)2 + 3
By = (x + 2)2 + 3
Cy = - (x + 3y2 + 2
Dy = (x - 3) - 2
I’ll mark y brainlist for the correct answer!
Answer:
16 / C
Step-by-step explanation:
-4 x -4 = 16
4 x 4 = 16
two negatives cancel out when multiplying, that is why it equals 16*
Answer:
C
Step-by-step explanation:
4×4=16
-4×-4=16
Which expression uses the associative property to make it easier to evaluate
20 (3/5 • 6)
A.
(20 16
B.
2006)
C.
. 6)20
D.
20(3.5)
Answer: A
Step-by-step explanation:
Bonnie filled her cars gas tank. She put in 10 1/2 gallons and paid $15.36.
Does anybody know the ratio in fractional form to find the cost of gasoline per gallon?
And what is the cost of gasoline per gallon.
I really need help with this.
The average human heart beats 75 times every minute. If the heart rate drops to 60 times a minute, which integer below would represent the change?
-25
-15
0
15
Answer:
B). -15
Step-by-step explanation:
Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?
Answer:
4.35/5= 0.87 liters
you divide the total by how many to find out what the unit rate is for each sample
Step-by-step explanation:
Twelve waters cost $9. How many can you buy with $3?
Answer:
4 bottles of Water
Step-by-step explanation:
First, we need to find how much each water costs. So, I created this equation below.
9/12=?
The answer to the equation is .75, or 75 cents.
So, we can now make yet another equation to find the amount to buy with 3 dollars.
3/.75=?
The answer to that equation is 4.
Thus, the answer is 4 bottles of water.
0.6¯¯¯ is... irrational because it is a repeating decimal irrational because it can't be written as a fraction rational because it is a decimal that goes on forever without repeating rational because it can be written as a fraction
Answer:
The number is irrational because it can’t be written as a fraction
Step-by-step explanation:
Here, we want to state why the given number is irrational
Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers
Thus, the reason why the number is irrational is because it can’t be written as a fraction
Help me plzzz I don’t understand this
Rectangle ABCD has a length represented by the expression 5x + 1 and a width represented by the expression 3x - 7. Which expression can be used to represent the perimeter of Rectangle ABCD?
A B 6
16x - 6
x - 12
O 16x - 12
Answer:D
Step-by-step explanation:
What would be the amount of the discount if a $49 video game was discounted 20%?
Answer:
0.49
Step-by-step explanation:
Answer:
$9
Step-by-step explanation:
20% off of 49 Dollars Would be around $9. Hope this helps.
A parallelogram has an area of 324 square feet. A circle has the same area. What is the approximate circumference of the circle.
Answer:
63.8ft
Step-by-step explanation:
HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither
Answer: A, arithmetic
Step-by-step explanation:
An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.
Solve for x: 3x − 24 = 81 WILL GIVE BRAINLIEST
fifty-seven over three
one hundred five over three
57
105
Answer:
35
Step-by-step explanation:
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
[tex]3x-24=81\\3x=105\\x=35[/tex]
f(x)=x^2+3x-2 find f(-2)
Answer:
-12
Step-by-step explanation:
Plsss help I need answers by today
Answer:
E, A, F
Step-by-step explanation:
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
Learn more the cosine rule here:
https://brainly.com/question/29717637
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A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.
Answer:
x ≤ ∞
Step-by-step explanation:
Let x represent the height of the space probe above sea level in meters.
Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:
x < -100 (the negative sign shows that it is below sea level).
After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:
x ≤ ∞
What is the measure of angle c if angle e is equal to 115 degrees ?
Angle b is 85 degrees
Angle D is 95 degrees
The measure of angle c is 30 degree.
what is Angle sum property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
m <b= 85
m<e = 115
m<d= 95
Now,
m <a+ m <e= 180 (Linear pair)
m <a + 115 = 180
m <a= 180-115
m<a = 65 degree
Using Angle sum property
m <a+ m <b + m<c =180
65 + 85 + <c =180
<c= 180- 150
m<c =30 degree.
Hence, the measure of angle c is 30 degree.
Learn more about angle sum property here:
https://brainly.com/question/11806229
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3(a + b) - 2a - 2b
simplify the algebraic expression
Answer:
a + b
Step-by-step explanation:
3(a + b) - 2a - 2b
open the parenthesis
3 * a + 3 * b - 2a -2b
3a + 3b - 2a - 2b
combine like terms
3a - 2a + 3b - 2b
a + b
PLEASEE HELP AND SHOW WORK IF YOU CAN
Answer:
M=54.62
O=59.69
N=65.68
Step-by-step explanation:
M is the smallest, and N is the largest:)
you can use cossincalc . com !!
QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
Answer:
A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.
Step-by-step explanation: