Answer:
y = -4/3
x = 14/3
Step-by-step explanation:
2x+y=8
x-y=6
First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.
2x+y=8
2x-2y=12
Then we need to subtract equation 1 from 2.
3y=-4
Solve normally
y = -1.33333 / -4/3
Substitute
x - (-4/3) = 6
x = 14/3
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]
2x+y=8________(i)x-y=6_________(ii)from equation (i):-
[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]
put value of x in eq (ii)[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]
put value of y in eq (i)[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
now,
By elimination method:-[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]
put value of y in equation (i)
[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
Factor (x^2-9) (x^2-16)
Answer:
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Step-by-step explanation:
( x^2 - 9 ) ( x^2 - 16 )
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Hopefully this helps!
Brainliest please?
[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]
3(x-2)=18 can somebody plzz help me
Answer:
x=8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=18+6
3x=24
x=24/3
x=8
Given : Simplify 3(x - 2) = 18
Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.
3(x - 2) = 18Cross multiplying 3 to the other side
x - 2 = 18/3x - 2 = 6Transposing -2 to the right hand side of the equation to get +2
x = 6 + 2Adding them we get the final answer
x = 8Henceforth, the required answer is 8
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?
Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
How to multiple decimals by decimals.
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Convert an area 75000m2 to hectares
Answer:
10000m2 =1 hectare
75000m2 = 75000/10000 hectares
=75/10hectares
=7.5hectares
note:1 hectare =10 000m2
Hope this helps!!2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
[tex]2x^3-4x^2-4x-4[/tex]
Step-by-step explanation:
Subtract the numbers
[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]
[tex]2^3-3^2-4-3^2+2^2-4[/tex]
Combine like terms
[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Rearrange terms
[tex]2x^3-4x^2-4-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Solution:
[tex]2x^3-4x^2-4x-4[/tex]
a 84m2 b 111m2 c 125m2 d 150m2
Answer:
B
Step-by-step explanation:
:)
Answer:the answer is 84m2
Step-by-step explanation:
Solve for m
kx-bf=fy/m
Answer:
m=fy/kx-Bf
Step-by-step explanation:
you simply simplify the equitions to be left with m on one side
A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?
Answer:
y=4x+9
Step-by-step explanation:
The slope intercept form is [tex]y=mx+b[/tex]
So m=4 and we plug it into the equation [tex]y=4x+b[/tex]
Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]
So the equation becomes [tex]5=4+b[/tex]
We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b
Then we rewrite the whole equation as [tex]y=4x+9[/tex]
Linear or nonlinear:
why?
Answer:
Nonlinear.
Step-by-step explanation:
Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.
Hope this helps.
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8
Answer:
9^48
Step-by-step explanation:
when parenthesis are involved, you multiply the powers
6*8=48
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : https://brainly.com/question/25669152
Answer:
7
Step-by-step explanation:
50 POINTS!!
Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference
Answer:
x² + y² = 169
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.
Substitute (12, 5 ) into the equation
12² + 5² = r²
144 + 25 = r²
169 = r²
Then equation of circle is
x² + y² = 169
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21
Answer:
I have no clue I'm trying to get my account set up
share £165 in the ratio 2:3
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
I need help pls
ASAP
Answer:
look at the picture ..........
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
please help me. I need to find what W is
Answer:
9
Step-by-step explanation:
w+13-[tex]\frac{2w}{3}[/tex]=16
w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]=3
w=9
$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire
Need help with this question
What is the sale price of a $825 tablet that has a 1/4 discount
Answer:
206.25
Step-by-step explanation:
825/2=412.5
412.5/2=206.25
What is a scalar quantity ?
Answer:
A scalar quantity is defined as the physical quantity with only magnitude and no direction.
We know that the sample standard deviation is 10 and the sample size is 70. For what sample mean would the ������ -value be equal to 0. 05? assume that all conditions necessary for inference are satisfied.
Evaluate -1(-2)(-4)(-2)
Answer:
16
Step-by-step explanation:
Negative times negative = positive
-1(-2) = 2
2(-4) = -8
-8(-2) = 16
Please consider giving this answer brainliest if it helped you. Thanks!
Answer:
─16
Step-by-step explanation:
1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16
An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?