The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
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Find the slope for (3,0) and (4,1)
Answer:
The slope is 1
Step-by-step explanation:
the formula for finding slope is : y2-y1/x2-x1
2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1
Therefore, the slope is 1.
wahts the gcf and lcm of 18 and 30
Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.
Answer:
50,000
Step-by-step explanation:
The little 5 is called an exponent, so it would be 0.5*10^5.
Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand
pls help what is the answer
Help please.........
pls hurry will mark brainliest if you show work pls
x + 10 = - x + 28
Step-by-step explanation:
2x = 18
Divide both sides by 2
x = 9
May I please receive help?
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the lady? 25
45
35
30
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
solve the following quadratic equation
2×2-x=21
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
The cost of paving a square room at the rate of RS.15 per m2 is Rs.1500. What is the Area and the Perimeter of the room?
hope it helps you...................
....
..
The area of the room is equal to 100 m² and perimeter is 40m
What is Area?The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side and the perimeter of a square = 4 × side units.
Given here: Unit rate of painting per meter square=15 and it cost 1500 in total
Thus Area = 1500/15
=100 m²
Then a²=100 and a=10
∴Perimeter of the square room is = 4×10
=40 m
Hence, The area of the room is equal to 100 m² and perimeter is 40m
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i need help on all of this please
Answer:
Step-by-step explanation: the answer is 69-123
Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form
Answer:
3:14
Step-by-step explanation:
The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14
(Divide both numbers by 2)
Hope this helps!!
Calculate the value of x
Answer:
x=15
Step-by-step explanation:
360-330=30
30/2=15
x=15
hope that helps
please mark as brainliest if correct
thank you
Additive inverse of -0.5
Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.
Step-by-step explanation:
1296.84 / 12 = $108.07 earned per day
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem, let's find y.
=> y² = 3² + 3²
=> y² = 9 + 9
=> y² = 18
=> y = √18
=> y = 4.24 (Estimated)
Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.
Hoped this helped.
find the quotient 3^15 / 3^3
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
-12 + 2a = -6(1 + a) + 8a
Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}
Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.
Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}
1) If the set of range is one less than the domain, the required range will be:
Range = {-4, -3, -2, -1, 0, 1, 2}
2) If the set of range is 2 more than the domain, the required range will be:
Range = {-1, 0, 1, 2, 3, 4, 5}
The table of values is given as:
x y
-3 | -1
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
3 | 5
2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)
The equation in slope-intercept form is given as y = mx + b
m = 0-(-1)/1-0
m = 1/1 = 1
Since the y-intercept is at (0, -1), hence b = -1
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + (-1)
y = x - 1
Hence the equation 1 will be y = x - 1
For equation 2, we will use the coordinate points (-1, 1) and (0, 2)
The equation in slope-intercept form is given as y = mx + b
m = 2-1/0-(-1)
m = 1/1 = 1
Since the y-intercept is at (0, 2), hence b = 2
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + 2
y = x + 2
Hence the equation 2 will be y = x + 2
4) The graph of each equation on a different coordinate plane is attached.
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Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
PERIMETER PLEASE HELP
Answer:
164 round = 160
your answer now can you please help me
Step-by-step explanation:
Please help!! markup and markdown word problems.
1. Andrew paid $10 for a burger. The burgers went on a sale and there was a discount of 20%. What was the sale price of the burgers?
2. Abby Matthews, store manager for Macy’s, does not know how to price a refrigerator that cost $900. She knows her boss wants a %140 mark up on the cost. Help Abby markup the cost of refrigerator.
Answer:
12, 1260
Step-by-step explanation:
Andrew paid $10 for a burger. The burger had a discount of 20%. This means that the $10 is 80% of the original price.
100% - 80% = 20%
To find the original price, you can multiply by 120%
10 * 120% = 12
Abby Matthews needs to mark up a refrigerator that costs $900 to 140% of the original price. To do this, you can directly multiply.
900 * 140% = 1260
PLZ HELP
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answer:
look up demos, it works like a charm everytime!
Step-by-step explanation:
hope this helps :)
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
Please answer number 1.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.