Answers
Related Questions
Solve the simultaneous equations
x-6y=5
xy - 2y2 = 6
-
Show clear algebraic working.
Answers
Answer:
(- 7, - 2 ) , (9.5, 0.75 )
Step-by-step explanation:
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
(- 7, - 2 ) and (9.5, 0.75 ) are the solutions.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
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A. 6
B. 7
C. 12
D. 24
Answers
Answer:
A
Step-by-step explanation:
If you count, the number is 12. Then divide that number by 2. You get 6.
[you divide by 2 because you need to find the average. i rlly don't know how to explain better]
Answer:
The answer is A.
6
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answers
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
HELP! NOW!
During a sale at a store, sweaters are being sold at a 65% discount. Let x represent the discount on sweaters. The shirts have the same discount as the sweaters. Let y represent the discount on shirts. The pants do not have the same discount as sweaters. Let z represent the discount on pants. Which statement is true? A. x ≠ y B. x = y C. z = x D. y = z
Answers
Answer:
B. x = y
Step-by-step explanation:
Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.
which ordered pair is a solution to the equation
Answers
2x + 3y = 10
Substitute (2,2) into the equation:
2(2) + 3(2) = 10
4 + 6 = 10 which is true
Substitute (1,3) into the equation:
2(1) + 3(3) = 10
2 + 9 is not equal to 10
Find the missing variable in the diagram below.
Answers
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
Jane lives 4.7 miles from the local ice
cream parlor while Sarah lives only 3.4 miles
from the same ice cream parlor. How many
more feet away from the parlor does Jane
live? How can I write it down.
Answers
Answer: 22
Step-by-step explanation:
6. 2(x + 6) = 3(x + 1)
7. -2(4x+1) = 3(x+3)
8. 2(5x + 9) = 10x + 18
9. -5(x + 6) = -5x + 9
10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)
Answers
Answer:
Hope this helps you
Step-by-step explanation:
6. x = 9
7. x = -1
8. x = True of all
9. no solution
10. h = 5/3
11. x = 2
12. d = 7
Problem:
−(−8y−6.6z−10)
Please help me if possible!
Answers
What is the midpoint of this segment
Answers
Answer:
(1,1)
Step-by-step explanation:
1. Find the product of 4 X 2 X 3 two different ways.
Answers
Answer:
6 x 4
8 x 3
The product: 24
Hope This Helps! •v•
Step-by-step explanation:
Answer:
6 x 4
8 x 3
The product: 24 K12 is how i know thx bye! :D
What is the measure of NRS?
Answers
Answer:
C. 113°Step-by-step explanation:
(7x - 1) + 79° = 21x + 8
• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex](7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x \\[/tex]
NRS = 21x + 8
[tex]21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o} [/tex]
3(6k+5)+3(6k+4
The expression has to be equivalent.
Answers
Step-by-step explanation:
3(6k+5)+ 3(6k+4)
open the bracket
18k+15+18k+12=0
collect like terms
18k+18k+15+12=0
36k + 27 =0
36k=-27
k=-27/-36
divide through by 3
k= -9/-12
still divide through by 3
k=-3/-4
minus cancel minus
k=3/4
A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step
Answers
Answer:
What do you need me to do
Step-by-step explanation:
why is 3/8 bigger than 3/12
Answers
Answer:
3/8 is is bigger then 3/12
Step-by-step explanation:
The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16
Sorry if its wrong! ^^""
As, 0.375> 0.25, so, 3/8 is greater than 3/12.
Here, we have,
To get the answer, we first convert each fraction into decimal numbers.
We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/8 = 0.375
3/12 = 0.25
Then, we compare the two decimal numbers to get the answer.
0.375 is greater than 0.25.
i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125
Therefore, 3/8 is greater than 3/12.
Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.
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The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?
Answers
Based on the change in the perimeter, the scale factor of the dilation is 3.5.
The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.
This dilation can be found as:
= Increased perimeter / Original perimeter
Solving for it would give:
= 42 / 12
= 3.5
In conclusion, the scale factor of the dilation is 3.5.
Find out more at https://brainly.com/question/8765466.
Answer my question please
Answers
.......
if y=0.9 when x=2.4, find y when x=6.4
Answers
Answer:
2.4
Step-by-step explanation:
You have to divide 6.4 by 2.4 to get 2.66666666667.
Then you multiply 2.66666666667 and 0.9 to get 2.4
When x = 6.4, y = 2.4
Hope this helps!
If a van traveled 180 miles in 3 hours, how far could the van travel in 7 hours?
Answers
Answer:
42 miles
Step-by-step explanation:
180/3=6 6x7=42
Answer:
420 miles in 7 hours
Step-by-step explanation:
You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answers
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4Twenty-three girls tried out for the cheerleading squad. Only 12 could be chosen for
the team. How many girls were not selected?
girls
Answers
Answer:
dude...
Step-by-step explanation:
11
also this is easy pz
Answer:
11 Girls
Step-by-step explanation:
23 - 12 = 11
If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y = mx + b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
y=-3/2x+1
Step-by-step explanation:
NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.
Step 1: plot your 2 known points.
Step 2: draw a line that goes between both points
Step 3: find the distance of the points in RISE/RUN format.
-9/6. The slope is negative because the line goes down to the right.
Step 4: find your y-intercept.
1.
Step 5: simplify your equation
-9/6 = -3/2
i need help its math
Answers
Answer:
[tex]x=47[/tex]°
Step-by-step explanation:
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y
Answers
Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...
What is the value of h(3)?
–2
–1
1
2
Answers
Answer:
C) 1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
Step-by-step explanation:
h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.
write the equation for a line that passes through the points (5,5) and (7,-5)
Answers
Answer:
y = - 5x + 30
Could anyone help me with this? The question is provided on the attachment
Answers
Answer:
100°C
Step-by-step explanation:
Substitute in the values:
C = 5/9 × (212 - 32)
Simplify:
C = 5/9 × 180
1/9 of 180 = 20 (180 ÷ 9)
∴ 5/9 of 180 = 100°C (20 × 5)
Answer:
c=100C°
we learn that in intermational school
solve 7f + 6 = 27 show working out
Answers
Answer:
f = 3
Step-by-step explanation:
7f + 6 = 27 ( subtract 6 from both sides )
7f = 21 ( divide both sides by 7 )
f = 3
7f+6=27
7f=27-6
7f=21
Divide both sides by 7 to isolate f:
f=3
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
ELPP PLS I SUCK AT MATHH D:
I didn't mean to click 1 but once you click it you cant unclick you can only change your answer
Answers
Answer:
If you were really that bad at math make it more than 6+ points lmoa and the answer is 1
Step-by-step explanation:
Identify the slope and y-intercept of the linear function 7 = 3x + y.
Answers
Answer:
Slope: -1/3
Y-Intercept: 7
Step-by-step explanation:
slope: -a/b
y=c