Answer:
First equation: 1/2
Second equation: -1/3
Step-by-step explanation:
We get the following equations:
[tex]\frac{1}{3}x+\frac{1}{6}y=2[/tex] first equation
[tex]\frac{1}{2}x+\frac{3}{4}y=-3[/tex] 2nd equation
Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:
The coefficient for x in the 1st equation is [tex]\frac{1}{3}[/tex] and the coefficient for x in the 2nd equation is [tex]\frac{1}{2}[/tex]
Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.
We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.
So, the first equation is equal to:
[tex](\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1[/tex]
The second equation is:
[tex](\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1[/tex]
Now, the coefficients for x, 1/6 and -1/6, are opposite terms.
Answer:3, -2
Step-by-step explanation:
Pls help me:(
X= –2 / Y= –4 / Z= 4
Answer:
1. 2
2. -44
3. -4
Step-by-step explanation:
idk how to explain i used a calculator sorry if im wrong
can anyone help? i don’t understand this !
Draw a tree digram.
What is the probability of waking up early at least one day?
Answer:
The probability of waking up early at least one day is 1.2
Step-by-step explanation:
We are given the tree diagram
We are supposed to find the probability of waking up early at least one day
So, we are supposed to find the probability of waking up early for 1 and more than 1 day
By studying the tree diagram
So the probability of waking up early for 1 and more than 1 day =[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}[/tex]
The probability of waking up early at least 1 day = [tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=1.2[/tex]
Hence the probability of waking up early at least one day is 1.2
What is the end behavior of the polynomial function?
As x > -infinity , then y > -infinity
As x > -infinity , then y > 0
As x > infinity , then 1y > -infinity
As x > infinity , then y > 0
Answer:
as X > infinity then y>-infinity
Answer:
Both of them are negative infinity
Step-by-step explanation:
The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line
Answer:
The perpendicular line has a slope of -2/3
Step-by-step explanation:
Perpendicular lines have a slope that multiplies to -1
3/2 * m = -1
Multiply each side by 2/3
3/2 * 2/3 *m = -1 * 2/3
m = -2/3
Answer: -2/3
Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.
To most students, perpendicular lines are simply
lines that meet at a 90 degree angle.
However, when dealing with these kinds of problems, it's important
to think about perpendicular lines in terms of their slopes.
As a rule, the slopes of two perpendicular
lines are always negative reciprocals.
So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.
So we take the fraction and flip it, then we change the sign.
So the negative reciprocal of 3/2 is -2/3.
I WOULD BE SO HAPPY IF SOMEONE COULD HELP ME FILL IN THESE BOXES
Plzz Help will mark brainlest!
Answer:
Step-by-step explanation:
180 degree
!!PLEASE HELP!! WILL MARK BRAINIEST!!!
Find the product. write your answer in exponential form 4^7 x 4^-6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
add the exponents
(7+(-6)
=7-6
=1
and let the same base =4^1 =4
A trapezoid’s top measures 2.2 m, and its height measures 4.0 m. Calculate the measurement of the base if the area of the trapezoid is 13 m²
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula ? x = (−3−2) + 2 x = (2+3) − 3 x = (−3−2) + 2 x = (2+3) − 3On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)
Answer:
(–1, 3), (–2, 2) and (–5, –1)
Step-by-step explanation:
On a coordinate plane, a line has points (-2, -4) and (4, 2). Its slope is:
m = [2 - (-4)]/[4 - (-2)] = 1
To be parallel, both lines have the same slope.
General equation of a line:
y = mx + b
Replacing with m = 1 and Point P (0, 4), we get:
4 = 1(0) + b
4 = b
Therefore, the equation of the line is:
y = x + 4
Replacing x = -4 into the equation:
y = -4 + 4 = 0
Replacing x = -1 into the equation:
y = -1 + 4 = 3 then (-1, 3) lies on the line
Replacing x = -2 into the equation:
y = -2 + 4 = 2 then (-2, 2) lies on the line
Replacing x = 4 into the equation:
y = 4 + 4 = 8
Replacing x = -5 into the equation:
y = -5 + 4 = -1 then (-5, 1) lies on the line
Answer:
[tex](-1,3), (-2,2), (-5,-1)[/tex]
Step-by-step explanation:
1) There's Need for the segment. Reminds me the centroid of a triangle which divides the triangle into two segments in a 2:3 ratio.
2.On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)
1) Let's find the slope of the line [tex]r[/tex] with points [tex]A(-2,-4) \:and\:B(4,2)[/tex]
[tex]m=\frac{2-(-4)}{4-(-2)}=\frac{6}{6}=1[/tex]
2) Now the linear coefficient,
[tex]y=mx+b\\0=1(-2)+b\\b=-2[/tex]
Then the first line [tex]r[/tex] whose points are [tex]A(-2,-4) \:and\:B(4,2)[/tex] is [tex]y=x-2[/tex]
3) From Analytical Geometry, a Parallel line must have the same slope, so that these lines may never intercept each other just like the graph below. So the slope, the angular coefficient must value the same amount.
[tex]m_1=m_{2} \therefore m_{1}=m_{2}=1[/tex]
So, the line [tex]s[/tex] is :
[tex]y=mx+b\\4=1*0+b\\\therefore b=4\\y=x+4[/tex]
4) Testing the points
[tex]2=-4+4 \:\\2\neq 0\\(-1,3)\\3=-1+4\\3=3\\(-2,2)\\2=-2+4\\2=2\\(4,2)\\2\neq 2+4\\(4,2)\\2\neq 4+2\\(-5,-1)\\-1=-5+4\\-1=-1[/tex]
What is happening to this graph when the x-values are between -1and 1?
Answer:
B. It is Decreasing
Step-by-step explanation:
When X = -1, Y = 7/3 putting a point at (-1, 7/3)
When X = 1, Y = -1/3 putting another point at (1, -1/3)
The Y value decreases from X = -1 to X = 1
Answer:
Step-by-step explanation:
The graph and the related function are decreasing at a steady rate on the interval (-1, 1).
Solve for v.
14 − 10v + 11 = 20v + 5(–7v − 11)
v =
Answer:
v = -16
Step-by-step explanation:
→Distribute the 5 to (-7v - 11):
14 - 10v + 11 = 20v - 35v - 55
→Add like terms:
25 - 10v = -15v - 55
→Add 15v to both sides:
25 + 5v = -55
→Subtract 25 from both sides:
5v = -80
→Divide both sides by 5:
v = -16
Answer:
[tex] \boxed{v = - 16} [/tex]
Step-by-step explanation:
[tex] = > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16[/tex]
What the answer to this
Given:
The value of x = 2.
Solution:
F ( x ) = 2x⁴ - x³ + 5x - 9
=> 2 ( 2 )⁴ - ( 2 )³ + 5 × 2 - 9
=> 2 × 16 - 8 + 10 - 9
=> 32 - 8 + 10 - 9
=> 24 + 1
=> 25
A. 25
Josh has a itunes gift card worth $75. After he purchases the first song on itunes, the cards value is $74.11. After he purchases the second song, its value is $73.22. After he purchases the third song, its value is $72.33. Assuming the pattern continues, write an equation to define A(n), the amount of money on the gift card after n song purchases.
How many songs can Josh purchase with this card only?
Answer:
A(n)=75.89-0.89n85 songsStep-by-step explanation:
The worth of the card =$75
The value of the card decreases after each music purchase forming a sequence:
75,74.11,73.22,72.33...
Now,
74.11-75=-0.8973.22-74.11=-0.8972.33-73.22=-0.89We see that the sequence forms an arithmetic sequence:
Where the first term, a is 75
Common difference, d=-0.89
We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.
For an arithmetic sequence,the nth term A(n)=a+(n-1)d
Therefore:
The amount of money on the gift card after n song purchases.
A(n)=75-0.89(n-1)
A(n)=75+0.89-0.89n
A(n)=75.89-0.89n
To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.
A(n)=75.89-0.89n
0=75.89-0.89n
0.89n=75.89
Divide both sides by 0.89
n=85.3
n=85
Therefore, Josh can purchase 85 songs with this card only
the table shown below represents a function.which of the following values could not be used to complete the table ?
Answer:
A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10
−4
1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10
4
4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.
What is the mass of all the worker bees in the hive together?
Write your answer in scientific notation.
Step-by-step explanation:
You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point
Answer: 50 miles
Step-by-step explanation:
a^2 + b^2 = c^2
48^2 = 14^2 = c^2
c^2 = 2500
c = 50
De un total de 60 personas en una escuela , 36 han elegido el curso de computacion ¿que porcentaje represebtan
Answer:
the answer is 21.6%
Step-by-step explanation:
PLZZZ HELPP 3+7 - 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Answer:
An algebraic equation (I think :/)
Answer:
Not really
(Algebraic expression)
Help me please!! It’s due soon!!
Answer:
13.7
Step-by-step explanation:
Using cosine formula:
AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC
AB^2 = 15^2 +12^2 -2*15*12*cos60
AB = 13.7 in
What is the rate of change of the amount earned with respect
to hours worked for this function?
hours per dollar
1/13 hours per dollar
2/5 hours per dollar
3 dollars per hour 13 dollars per hour
Option D 13 dollars per hour
Which of the following situations represents a multiplicative relationship with a unit rate of 0.5?
On her diet, Mrs. Jackson lost 5 pounds every month.
Mila eats 12 cup of yogurt every day.
Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.
Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.
Answer:
Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home
Step-by-step explanation:
The relationship between two quantities could be additive (In this case, one quantity is a result of adding a value to the other quantity) or multiplicative (In this case, one quantity is the result of multiplying the other quantity by a value).
Multiplicative Relationship is a relationship that shows two quantities expressed as multiples of each other.
It can be written as: y = nx
where y and x are multiples of each other
n is equivalent to the ratio of y to x
Let's consider the options we have:
a) On her diet, Mrs. Jackson lost 5 pounds every month.
y = x -a (a= constant)
y = x-5
There is no multiplicative relationship of a unit rate of 0.5 in the statement.
b) Mila eats 12 cup of yogurt every day.
There is no multiplicative relationship of a unit rate of 0.5 in the statement.
c) Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.
y = nx
n = 0.5
y is the result of multiplication of 0.5 by x
y = 0.5x
d) Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.
y = x+a (a = constant)
y = x +1
There is no multiplicative relationship of a unit rate of 0.5 in the statement.
Write an equation to describe the relationship between x and y
Answer:
y= x2+x-3
Step-by-step explanation: i think this is the answer
If there is an 8.5% tax on a $30 sweater, what is the tax amount?
Answer:
$32.55
Step-by-step explanation:
Before Tax Price: $30.00
Sale Tax: 8.50% or $2.55
After Tax Price: $32.55
based on the sequence -13, -8, -3, 2, 7, 12 what will be the 500th term?
Answer:
2482
Step-by-step explanation:
Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!
Answer:
2482
Step-by-step explanation:
determine the equation of the line that has a slope of 1/3 and goes through (7,6)
Answer: y=1/3x+11/3
Step-by-step explanation:
Since we given the slope, we can write a slope-intercept form equation.
y=1/3x+b
Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.
6=1/3(7)+b
6=7/3+b
11/3=b
Now that we have our y-intercept, we can complete our equation.
y=1/3x+11/3
PLEASE HELP MEEEEE!!!!
Answer:
108 is the answer
Step-by-step explanation:
perpendicular help i need help
Answer:
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
Step-by-step explanation:
You can prove that the two lines are perpendicular if the following condition holds true.
m₁×m₂ = -1
Where m₁ is the slope of line 1 and m₂ is slope of line 2
So first you have to find out the slope of each line.
You are given 2 equations
y = 3x + 5 eq. 1
6y + 2x = 1 eq. 2
You have to write these equations in slope-intercept form to find out their slopes.
The slope-intercept form is given by
y = mx + b
Comparing the general form with eq. 1
y = 3x + 5
We notice that the slope is m₁ = 3
Now convert the eq. 2 into slope-intercept form
6y + 2x = 1 eq. 2
6y = -2x + 1
y = (-2x + 1)/6
y = -1/3x + 1/6 eq. 2
Comparing the general form with eq. 2
y = -1/3x + 1/6
We notice that the slope is m₂ = -1/3
Now we have slopes of both lines so let us test whether they are perpendicular or not
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Answer:
£320
Step-by-step explanation:
Using proportion,
If 110% = £352
100% = ?
= [tex]\frac{100}{110} * 352[/tex]
= £320
If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.
What is percentage?It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.
How to calculate costs?We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:
let the cost before flight tax be x.
x+ x*10%=352
x+10x/100=352
110x/100=352
110x=35200
x=35200/110
x=320
Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.
Learn more about percentage at https://brainly.com/question/843074
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4.83×10^5 as an ordinary number
Answer:
483,000
Step-by-step explanation:
10^5=100,000
4.83×100,000=483,000
Which point of below lie on the curve y=x^3 (1/3,1/9), (-1,1), (-2,-6), (-1/2,-1/8)
Answer:
(-1/2, -1/8)
Step-by-step explanation:
I graphed it and (-1/2, -1/8) is the only point that lands on the graph.
