Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q
unwanted ans will be reported
If it has infinite solutions
[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]
[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]
[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]
[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]
[tex]\\ \sf\longmapsto -p-q=6[/tex]
[tex]\\ \sf\longmapsto p+q=-6[/tex]
[tex]\\ \sf\longmapsto p=-6-q[/tex]
Take p as 1
.q=-6-1=-7what is the meaning of EMI calculation
What Is an Equated Monthly Installment (EMI)?
An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.
Answer:
equated monthly installment
An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full.
Step-by-step explanation:
An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.
help me please!!!!!!!!
Answer:
BC = 29.4
Step-by-step explanation:
30² = 20² + BC² -2•20•BC•cos(108)
900 = 400 +BC² -12.4•BC
900 -400 = BC² -12.4•BC
BC² -12.4•BC -500 = 0
Solve the equation using Bhaskara and you'll find two possible values for BC, which are:
BC = -17 and BC = 29.4
A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4
Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
6
338
365
3,300
Answer:
338
Step-by-step explanation:
55miles/h,
it would take 310/55 =62/11 h to reach syracuse
62/11 h = 338.181818mins ≈ 338mins
Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?
Answer:
He has 4/35 of with money left
Step-by-step explanation:
1 - 3/5 - 2/7 = 4/35
This basically answers the question
How is adding and subtracting radical expressions similar to adding and subtracting variables ?????
Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.
Answer:
combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense
Step-by-step explanation:
so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3
Do any one of them, please help needed
Answer:
a = -3
Step-by-step explanation:
f(x) = 5x³+4x²+3x-4a
f(-1) = 8
therefore , x = -1
substituting x = -1 in 5x³ + 4x² +3x-4a
5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8
-5 + 4 -3 - 4a = 8
-8 + 4 -4a = 8
-4 - 4a = 8
shifting -4 from LHS to RHS
-4a = 8+4
-4a = 12
[tex] - a = \frac{12}{4} [/tex]
therefore
-a = 3
a = -3
ANS = the value of a = -3
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Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.
Answer:
2x-4(x+7)=2
Step-by-step explanation:
Peter's age:x.... twice age:2x
Phil's age:x+7...4times age:4(x+7)
Difference if ages is 2
Hence; 2x-4(x+7)=2
Answer:
Answer
4.9/5
38
loitzl9006
Ambitious
54 answers
6.5K people helped
Answer:
x=25
Step-by-step explanation:
we know that "x" is Peter's age
assume that "y" is Phil's age
In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x
create equation with these two things
y = 1/5 x
including "7 years more"
many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?
in order to avoid mistakes
read the sentence and point, which: y or 1/5 x is greater and smaller
"Phil's age is 7 years more than ..."
so y is greater, and 1/5 x smaller
y = 1/5 x
greater = smaller
we must add 7 to smaller number to make an equality
greater = smaller + 7
y = 1/5 x + 7
Second sentence:
"4 times Phil's age is 2 years less than twice Peter's age."
Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x
4y = 2x
read the sentence once again
"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater
4y = 2x
smaller = greater
including "2 years less" we add 2 to a smaller number
smaller + 2 = greater
4y + 2 = 2x
Substitute y=1/5 x + 7 to the equation 4y+2 = 2x
Step-by-step explanation:
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
Answer:
a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex]
b) Hence the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a meter is 5.5 meters
Step-by-step explanation:
a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :
[tex]x^2 + (y-yc)^2 = R^2[/tex] ,
where
R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)
= 14 m / 2
= 7 m (radius of the circle)
Also, center of the circle will be at (0, 2 + R) i.e (0,9)
So, is the trajectory path equation to the circle
Let [tex]x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)[/tex] be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t
At t= 10s, y = 16 m so we have,
[tex]9 + 7 * sin(10* w + \phi) = 16[/tex] ---------------(1)
Also, at t= 25s, y =2 m so we have,
[tex]9 + 7* sin(25 * w +\phi) = 2[/tex]--------------(2)
Solving we have, [tex]10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2[/tex]
[tex]15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6[/tex]
Therefore [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex] is the instantaneous height of the pink short at time t ( in seconds)
b) At t= 10minutes = 10 * 60 s = 600s, we have,
[tex]y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)[/tex]
= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)
the product of two number is 105. if one number is -3 what is the other number
Answer: -35
Step-by-step explanation:
You can check it by multiplying -3 and -35 you should get 105
What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number
Answer:
C
Step-by-step explanation:
The product of a negative rational number and a positive integer is a negative rational number
Answer: C (A Negative Rational Number)
Step-by-step explanation
A Negative number mutiplied by a positive number is a negative number.
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Is it possible to build a triangle with side lengths of 3, 3, and 9?
Answer:
N0
Step-by-step explanation:
The sides of a triangle must be
a-b< c< a+b where a and b are the two smaller sides and c is the larger side
3-3 <9< 3+3
0<9<6
This is not true so it cannot make a triangle
answer:
no
step-by-step explanation:
each side must be smaller than the sum of other sides
so
9+3>3-right
3+3<9-wrong
Solve the system of equations:
v=2x-4
y=x2 - 4
The choose (D)
(0,-4) and (2,0)
G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores
Answer:
x=
[tex]x = \frac{2}{g - 3} [/tex]
explainion is shown in picture above. Hope this helps
Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem
Answer:
Objective Function z
z = 5*x + 4*y . to maximize
Step-by-step explanation:
eggs flour
P. Bread (x) 2 3
Z. Bread . (y) 3 4
Availability . 15 16
Constraints.
Eggs availability . 15
2*x + 3*y ≤ 15
Flour availability 16 cups
3*x + 4*y ≤16
Objective Function z
z = 5*x + 4*y . to maximize
The model:
z = 5*x + 4*y . to maximize
Subject to:
2*x + 3*y ≤ 15
3*x + 4*y ≤16
x ≥ 0 y ≥ 0 . integers
Answer: C
Step-by-step explanation:
Correct on edg 2020
The question is
"Mia has a large bag of sweets, If i share the sweets equally among 1,2,3,4,5 or 6 people, there will always be 1 sweet left over"
with step by step pls :(
Answer:
61
or
421
Step-by-step explanation:
Find the L.C.M. of 2,3,4,5,6 and add 1.
2| 2-3-4-5-6
-------------------
2| 1-3-2-5-3
---------------------
3| 1-3-1-5-3
----------------------
5| 1-1-1-5-1
----------------------
| 1-1-1-1-1-1
L.C.M.=2×2×3×5=60
reqd. number=60+1=61
if i distribute between 2,3,4,5,6 people then reqd number is 61
if Mia is also among those people or she gets also share
then the people are2,3,4,5,6 or 7
L.C.M. of 2,3,4,5,6,7=60×7=420
so reqd number is 420+1=421
Find the marked price if: Selling price =Rs 4999.50 and Discount percentage = 10%.
Answer:
HOPE IT HELP YOU....
if it is right plz comment me .
which is the right equation
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]
The only equation with this slope is
y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C
The distance between Detroit, Ml to Paris, France is approximately 3930 mi. Flying from Detroit to Paris take 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream. a. What the plane Soren still in air, rounded to the nearest whole number, is blank mph b. What the speed of the jet stream, rounded to the nearest whole number, is blank mph
Answer:
a) [tex]s=482moh[/tex]
b) [tex]s'=9mph[/tex]
Step-by-step explanation:
From the question we are told that:
Distance [tex]d=3930mi[/tex]
Time of flight [tex]T=8hr[/tex]
Flight back [tex]T_b=8.3hr[/tex]
Generally the equation for Time for flight with jet steam is mathematically given by
[tex]T=\frac{d}{s+s_1}[/tex]
[tex]8=\frac{3930}{s+s'}[/tex]
[tex]s+s'=491.3 ....equ1[/tex]
Generally the equation for Time for flight against jet steam is mathematically given by
[tex]T=\frac{d}{s-s_1}[/tex]
[tex]8.3=\frac{3930}{s-s_1}[/tex]
[tex]s+s'=473.5......equ 2[/tex]
Solving equ 1 and equ 2 simultaneously
[tex]s+s'=491.3[/tex]
[tex]s+s'=473.5[/tex]
Therefore
[tex]s=482moh[/tex]
[tex]s'=9mph[/tex]
If I Have 100 Dollars And i go to the bank and i ask for 30 more and use that money on a store and i have 12 Dollars Left How Much Did the Thing I Bought Cost/ How Much Money did i spend?
Answer:
$118
Step-by-step explanation:
First, find how much money you had after going to the bank:
100 + 30
= $130
Find how much money you spent at the store by subtracting 12 from 130:
130 - 12
= 118
So, you spent $118
change 0.625 to a percentage
Im pretty sure that its 62.5%
Answer:
62%
Step-by-step explanation:
If you need to round to nearest percent it will be 63%
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10
Answer:
$0.80
Step-by-step explanation:
-3 (1x + 1y = 3.2)
3x + 1y = 8
----------------
-3x - 3y = -9.6
+
3x + 1 y = 8
-------------------
0x -2y = -1.6
÷ -2
-----------------
y = 0.8
one hamburger costs $0.80
A 10 oz bottle of shampoo cost $2.40 and a 12oz bottle cost $2.64 find the unit rate for each which bottle has the lower unit cost
Answer:
12oz bottle
Step-by-step explanation:
10 oz bottle
Take the price and divide by the ounces
2.40 /10 = .24 per ounce
12oz bottle
2.64 / 12 =.22 per ounce
HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every
Answer:
When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.
Answer:
It will always be less than both.
Step-by-step explanation:
Multiplying by something smaller than 1 will always make the result smaller, so taking something like
0.8⋅0.5 means that we are taking half of 0.8
OR 45 of 0.5 (same thing)
either way it makes it smaller, which means we will get something smaller than both.
HELP PLEASE !! REAL ANSWER ONLY
find the surface area of the cylinder round to the nearest tenth
Answer:
CSA is 12.57
TSA is 18.85 .. i dont know what the question is asking..
I will recommend you to use TSA
Answer:
19ft
Step-by-step explanation:
Formula for surface area of the cylinder=2πr(r+h)
We have,
h=2ft
d=2ft
r=d/2=2/2=1ft
Now,
2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215
Rounding to the nearest tenth,
We get Surface area of the cylinder=19 ft
In which of the following expressions is the coefficient of term "x" 1?
2x^2+x−9
2 x squared plus x minus 9
x^2+2x+7
x squared plus 2 x plus 7
3x^2−x−5
3 x squared minus x minus 5
2x^2−3x+1
Using the coefficient concept, it is found that the expression in which the coefficient of the term x is 1 is:
[tex]2x^2 + x - 9[/tex]
-----------------------------------------
In a polynomial, the terms that multiply the x variables are called coefficients.
For example, take a standard quadratic equation: [tex]ax^2 + bx + c[/tex]
The coefficient of x² is a.The coefficient of x is b.The coefficient of [tex]\mathbf{x^0}[/tex] is c.-----------------------------------------
In this problem, we want an expression in which the term "x" is multiplied by 1, and the desired expression is:
[tex]2x^2 + x - 9[/tex]
A similar problem is given by https://brainly.com/question/15446728
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x , y ) -----> (x , y -4)
Step-by-step explanation:
There is no change in x-coordinate
Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)
7 + a = 3
a = 3 - 7
a = -4
y-coordinate of A' = y-coordinate of A - 4
Y = 2x + 3
(2, 7)
(1, 3)
(-3, 6)
(0, 2)
Answer:
(2,7)
Step-by-step explanation:
25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP
Answer:
b, c, d
Step-by-step explanation:
y=kx+b
or
y=kx
so y=5,25x-right
y=0,5x-right
y=2,5x+7-right
