Answer:
x = -10
y = 20
Step-by-step explanation:
y = -2x
so
substituting the value in equation ii
3x + 4y = 50
or, 3x + 4(-2x) = 50
or, 3x + (-8x) = 50
or, 3x-8x = 50
or, -5x = 50
so, x = -10
so
y = -2x
or, y = -2*(-10)
so, y = 20
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
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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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
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
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
pls help i’m bad at math asap
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
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.
[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
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:
please solve this please anyone...
Answer:
A.
f(1.999)= 5(1.999) +1
= 9.995 + 1
=10.995
B. 11
Step-by-step explanation:
[tex]f(x) = 5x + 1 \\ f(1.999) = 5 \times 1.999 + 1 = 9.995 + 1 \\ = 10.995 \: can \: round \: in \: to \: 11 \\ thank \: you[/tex]
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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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!
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
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
2.6 a simplified fraction and the 6 is a repeating decimal
calculate the gradient of the straight line that passes through G(-6,4) and H(2,-4)
Answer:
-1
Step-by-step explanation:
gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]
= (4-(-4))/ (-6-2) = 8/-8 = -1
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:
please help me is for my homework
Answer:
14/100
Step-by-step explanation:
14/100
=7/50
14% is equal to 7/50
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]
on a piece of paper graph y<2x-3 then determine which answer matches
Answer:
i think its 5 i think i dont know havent done this since 6th grade
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.
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
A small bag of 12 tiny potatoes costs 8.78........ how much does one potato cost?
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%
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.
Next, we want to figure out how much g(x) is a compression/stretch of x.
In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.
A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have
kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B
In the x direction, at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.
f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have
f(kx) = f(3x) = (3x)² = 9x² = B
Help me please look at the pictures
Sports Co buys soccer balls from their supplier at $20 per bat. They sell these for $40.
What percentage mark-up have they applied to soccer balls?
Answer:
buy for $20 and sell for $40
is 100% mark-up
Step-by-step explanation:
PLz help :( i will mark barinliest
which best describes the meaning of the word theorem
A. A conjecture based on inductive reasoning
B. A statement that is accepted as true without proof
C. a statement explaining the meaning of a geometric term
D. A conclusion proved by deductive reasoning
Answer:
Step-by-step explanation:
It's D.
A theorem is true by some sort of mathematical logic.
It is not a definition. Not C
It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A
It certainly not assumed to be true without proof. Not B