you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
slope 1/6 , x-intercept at -1
Answer:
[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]
Step-by-step explanation:
[tex]y = mx + c[/tex]
m is slope
c is y intercept.
at x-intercept, y = 0
[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,
y = mx + c
0 = (1/6)(-1) + c
0 = -1/6 + c
c = 1/6
Now, the equation of the line can be written as,
y = (1/6)x + (1/6)
y = (x/6) + (1/6)
y = (x+1)/6
6y = x + 1
Hence, the equation of the given line is 6y=x+1.
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PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?
Answer:
44
Step-by-step explanation:
n = pattern number
9n - 1 = number of tiles
Number 5 = 9n - 1
= 5 x 9 - 1
= 45 - 1
= 44
The pattern will have 54 tiles after the fifth day
How to determine how many tiles was pattern have after the fifth dayTo determine the pattern, let's find the difference between the number of tiles on consecutive days:
Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles
Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles
Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles
Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).
Now, let's use this difference to find the number of tiles after the fifth day:
Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles
Number of tiles after the fourth day: 35 tiles
Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles
So, the pattern will have 54 tiles after the fifth day.
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Which equation represents a line which is parallel to the line y = -x + 5?
2x – 3y = 21
o
3x + 2y = -2
Submit Answer
2y - 3x = 2
2x + 3y = –21
PLS HELP ASAP
Answer:
2x + 3y = -21
Step-by-step explanation:
Parallel lines have same slope.
2x + 3y = -21
3y = - 2x - 21
y = [tex]y = \dfrac{-2}{3}x-\dfrac{21}{3}\\\\y=\dfrac{-2}{3}x-7[/tex]
In the figure, M and N are midpoints of RT and ST. What is the length of MN
Answer:
b - a
Step-by-step explanation:
Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length
The midpoint formula is
( (x1 + x2)/2, (y1 + y2) / 2 )
So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)
And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)
Because the y-coordinates are the same (d), the distance from M to N is,
final x-coordinate minus initial x-coordinate
x-coordinate of N minus x-coordinate of M
(c + b) - (a + c)
Distribute the negative and remove the parentheses
c + b - a - c
Group the cs together
c - c + b - a
Cancel out the cs
b - a
for what value of x does 4x = (1/8) x+5
Answer: Use main properties of powers
to simplify given equation.
1.
2.
3. Then the equation is
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Step-by-step explanation:
Answer:
40/31
Step-by-step explanation:
4x = (1/8)x + 5
=> 4x - 5 = (1/8)x
=> 8(4x-5) = x
=> 32x - 40 = x
=> 32x - x = 40
=> 31x = 40
=> x = 40/31
please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
[tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b.
4^-4
Answer:
1/256
Step-by-step explanation:
4^-4
~Use negative exponent rule [ a^-b = 1/a^b ]
1/4^4
1/256
Best of Luck!
Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?
Answer:
5%
Step-by-step explanation
50/32= 1.56yard per second ; 50/31= 1.61 yard per second
1.61-1.56= 0.05* 100= 5%
Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?
Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
if A = { 0 }, n ( A ) = ?
Pls answer my question!
Answer:
0Step-by-step explanation:
A = { 0 }, n ( A ) = 0[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
please help me is for my homework
Answer:
14/100
Step-by-step explanation:
14/100
=7/50
14% is equal to 7/50
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
Find the least common multiple of 4 and 20
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer.....
LCM of 4 and 20 is 20.Hope it helps!
Brainliest pls!
Follow me :)
Answer:
Technically, it could be one. since one goes into everything but I'm not sure if you're teacher accepts that answer. So 2. 2 goes into 4 two times and 2 goes into 20 ten times
Step-by-step explanation:
Help me please look at the pictures
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
~Simplify
-6x + 8 - x - 3
-7x + 5 = 33
~Subtract 3 to both sides
-7x = 28
~Divide -7 to both sides
x = -4
Best of Luck!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
solve the brackets first
-6x + 8 -x -3 = 33
-6x - x + 8 - 3 = 33
-7x + 5 = 33
-7x = 33-5
-7x = 28
x = 28/ -7
x = -4
A small bag of 12 tiny potatoes costs 8.78........ how much does one potato cost?
The second side of a triangle is 3 times the first side. The third side of a triangle is 2 1/2 times the first side. If the perimeter of the triangle is 65 feet, find the length of each side.
Answer:
F=first side; S=second side=3F; T=third side=2.5F
.
F+S+T=60ft
F+3F+2.5F=60ft
6.5F=60ft
F=9.23ft
S=3F=3(9.23ft)=27.69ft.
T=2.5F=2.5(9.23)=23.08ft
.
ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft
Step-by-step explanation:
if (2x,3y) =(8, 9),find x and y
Answer:
x = 4, y = 3
Step-by-step explanation:
Equating corresponding coordinates , gives
2x = 8 ( divide both sides by 2 )
x = 4
and
3y = 9 ( divide both sides by 3 )
y = 3
Factor over the Reals
Answer:
(x - 2y)³(1 - x+ 2y)(1 + x - 2y)
Step-by-step explanation:
Given
(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms
= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
1 - (x - 2y)²
= 1² - (x - 2y)²
= (1 - (x - 2y) )(1 + (x - 2y) )
= (1 - x + 2y)(1 + x - 2y)
Then
(x - 2y)³ - [tex](x-2y)^{5}[/tex]
= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
pls help i’m bad at math asap
-2z-xy=x+7 solve for x
Answer:
[tex] - 2z - xy = x + 7 \\ x + xy = - 2z - 7 \\ x(1 + y) = - 2z - 7 \\ \\ x = \frac{ - 2z - 7}{1 + y} [/tex]
I hope I helped you^_^
Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9
If there are 5380 feet in a mile Express 4000 get In kilometers
please show how you go it
Answer:
ok first there is a problem here there are actually 5280 NOT 5380 feet in a mile. Is this a typo or are you to assume a different length of a mile?
I will stick with the real value of 5280...
5280 feet/ mile * 0.62137119 miles/ km = 3280 f/km
3280 f/km / 4000 feet = .82 km
Step-by-step explanation:
I don’t even know what to do help
Answer:
see below
Step-by-step explanation:
for 1)
angle y = 180 - 110 = 70 degrees
angle z = angle y = 70 degrees
angle x = 89 degrees
for 2)
angle 1 = 180 - 85 = 95 degrees
angle 2= 180 - 95 - 85 degrees
angle 3 = 180-95 = 85 degrees
for 3)
m angle 3 = 25 degrees, same as m angle 1
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow
If two functions, f(x) and g(x), are inverse functions, what must the composition of f(g(x)) and g(f(x)) both equal?
A. 0
B. 1
C. f(x) = g(x)
D. x
==========================================================
Explanation:
The composition of the original function with its inverse will cancel out the operations to yield the input as the output.
Consider the example functions shown below
f(x) = x+5g(x) = x-5The first function adds 5 while the second function does the complete opposite and subtract 5. The two functions are inverses of each other.
We see that,
f(x) = x+5
f(g(x)) = g(x)+5
f(g(x)) = x-5+5
f(g(x)) = x
and you should find that g(f(x)) = x for similar steps.
No matter what the x input is, the output will be identical to the input.
For instance, if we plug in x = 7, then adding 5 to it gets us 12. Then undoing that operation to subtract 5 gets us back to 7 again. This is one example showing why both f(g(x)) and g(f(x)) both equal x, where f and g are inverses of each other.
[tex]2 \times 3 + 45 \div 2 - 6 + 9[/tex]
Answer according to BODMAS
Answer: 31.5
Step-by-step explanation:
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
BracketOrderDivisionMultiplicationAdditionSubtractionSolve:
Given
2 × 3 + 45 ÷ 2 - 6 + 9
Simplify by division
=2 × 3 + 22.5 - 6 + 9
Simplify by multiplication
=6 + 22.5 - 6 + 9
Simplify by addition
=28.5 + 9 - 6
=37.5 - 6
Simplify by subtraction
=31.5
Hope this helps!! :)
Please let me know if you have any questions
