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Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42
Answers
Step-by-step explanation:
[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]
⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]
Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }
Now ,
[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]
⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]
Taking positive ( + ) sign :
⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]
Taking negative ( - ) sign :
⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]
[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night♡
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Related Questions
The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?
Answers
Answer:
4cm
Step-by-step explanation:
The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,
V = πr²h
where V is volume, r is the radius, and h is the height.
Substituting the known values from the given,
176π cm³ = πr²(11 cm)
6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it
Answers
Answer:
Step-by-step explanation:
(1) 6x-2y=156
2×(2) ; 2(x-y=18)
;2x-2y=36
from (1)-2×(2)
is 6x-2y=156 -
2x-2y=36
4x=120
x=30
from (2)
x-y=18
x-18=y
y=30-18
y=12
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answers
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
Find the asymptotes of the following functions
Answers
Answer:
a) y = -6/x has a vertical asymptote at x = 0
b) y = 1/(2·x) - 1 has two asymptotes;
1) A vertical asymptote at x = 0
2) A horizontal asymptote at y = -1
Step-by-step explanation:
The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity
a) The given equation is y = -6/x
Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0
b) The given equation is y = 1/(2·x) - 1
∴ y = (1 - 2·x)/(2·x)
The function has a vertical asymptote at x = 0
The function has an horizontal asymptote at y = -2/2 = -1
Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers
Answers
Answer:
nick's number = 91
eddie's number = 39
Step-by-step explanation:
n = nick's number
[tex]\frac{3}{7}[/tex]n = eddie's number
[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52
[tex]\frac{4}{7}[/tex]n = 52
cross-multiply: 4n = 52(7)
4n = 364
n = 364/4 = 91
eddie's number: [tex]\frac{3}{7}[/tex] · 91 = 273/7 = 39
Nick's number is 91
Eddie's number is 39
What is expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Eddie's number is 3/7 of Nick's number
Let Nick's number be x
Then Eddie's number = 3x/7
Difference of the numbers is 52
x - 3x/7 = 52
(7x - 3x)/7 = 52
4x/7 = 52
4x = 52×7
x = 364/4
x = 91
Another number = 3x/7
= 3(91)/7
= 3 × 13
= 39
Hence, 91 is Nick's number and 39 is Eddie's number.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a
total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large
candles.
Answers
HOW TO SOLVE
Let x = the number of small candles sold
Let y = the number of large candles sold
You are given two pieces of information:
(1) Number of candles sold: x + y = 28
(2) Revenue based on cost per candles sold: 4x + 6y = 144
Two equations, two unknowns - Solving by substitution (x = 28 - y)
4 * (28-y) + 6y = 144
112 - 4y + 6y = 144
112 + 2y = 144
2y = 32
y = 16
If y = 16, back substitute to find x = 12
Double check using revenue generated:
4x + 6y = 144
4(12) + 6(16) =? 144
48 + 96 = 144
Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12
Answers
Answer:
Option D
Step-by-step explanation:
[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]
[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]
[tex] = > \frac{7x}{4} = 21[/tex]
[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]
need to know soon! please help
Answers
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
Please help!
And explain the answers too!
Answers
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.
2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job
3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.
Which of the following best describes the equation below?
y = 8x + 15
A.
neither linear nor nonlinear
B.
both linear and nonlinear
C.
nonlinear
D.
linear
Answers
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answers
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
An equiangular triangle has one angle of measure 2x+8. What is x?
Answers
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
I need help again with this last problem.
Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle
Answers
what is 1/5x +8 < -4
Answers
Answer:
The answer is x< -60
please let me know if I am incorrect.
Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.
Choose the definition for the function.
Answers
Answer: C
Step-by-step explanation:
What fraction goes in the box to make it correct?
4/11×_=1
Answers
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
if it's helpful ❤❤❤
THANK YOU.
Find the coordinates of the point where y-4x=1 crosses the y axis
Answers
Answer:
The coordinate is (0,1) .
Step-by-step explanation:
A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;
Put x = 0 :-
⇒ y - 4x = 1
⇒ y - 4*0 = 1
⇒ y - 0 = 1 .
⇒ y = 1 .
Hence the required co ordinate is ( 0 , 4 ).For the equation 2x + 7 =30, x = 3
O True
O False
Answers
Have a good day <3
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answers
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
Find each function value f(-7) if f(x) = 3x + 6
Answers
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
can I get help with this
Answers
Answer:
$3,600
Step-by-step explanation:
To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.
Doing so, we get: $270 over 0.075 = $3,600
Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it
Answers
Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped
Step-by-step explanation:
solve for y
equation : y=mx+b
Answers
Answer:
? i need numbers
Step-by-step explanation:
find the values of z and y plssss
Answers
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
 tell me how to answer this please I WILL MARK BRAINLIEST
Answers
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answers
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answers
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
I need the answer plz so I dont fail
Answers
Answer:
Whats the problem? it wont show for me...
Step-by-step explanation:
i will awnser, just gotta give me the problem
The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)
Answers
Answer:
14?
Step-by-step explanation: