The solution to the equation x² + 5x = 0 is x = 0 or x = -5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 5x = 0 be equation (1)
Now , on simplifying the equation , we get
On factorizing the equation , we get
Taking the common factor x ,
x ( x + 5 ) = 0
Now , x can take 2 values which will satisfy the given equation
when x = 0 or ( x + 5 ) = 0
when x = 0
Substitute the value of x in the equation , we get
0 ( 0 + 5 ) = 0
0 = 0
The equation is true when x = 0
And ,
when ( x + 5 ) = 0
Subtracting 5 on both sides of the equation , we get
x = -5
when x = -5
-5 ( -5 + 5 ) = 0
-5 x 0 = 0
0 = 0
The equation is true when x = -5
Hence , the solution is 0 , -5
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Use the GCF to factor: 90u + 80q
Answer:
10(9u+8q)
Step-by-step explanation:
a line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment
Answer:
(1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Step-by-step explanation:
Moving from P to Q, we see that x increases by 6 and y increases by 3.
"Trisect" means "divide into three equal subintervals."
We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).
Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)
Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies. Each cookie costs $1.25. Desiree sells 12 cookies and 8 cupcakes for a total of $33.00.
The cost of 1 cupcake is
$1.65
$1.92
$2.06
$2.25
Answer:
2.25$
Step-by-step explanation:
The cost of each cupcake the food court mall sells is $2.28.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.
Each cookie costs $1.25 and assuming the cost of the cupcake is x.
∴ (1.25×12) + (8x) = 33.30.
15 + 8x = 33.30.
8x = 18.3
x = 2.28
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The value of 3^4+5•5=
Answer:
106
Step-by-step explanation:
3^4=81
5·5=25
81+25=106
Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.
A-GameStop; pay $5 for each game ordered. (5g)
B-Level-up Games; pay $25 to join and $2 for each game ordered (2g + 25)
C-Game Changer; pay $20 to join and $2.50 for each game ordered (2.5g + 20)
D-Game Land; pay $60 per month for unlimited amount of game rentals (60)
Answer: A
Step-by-step explanation:
It’s the cheapest
Haley substituted the values of a, b, and c into the quadratic formula below.
x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____
Answer:
f(x) =
7
x2 +
-10
x +
-2
Step-by-step explanation:
Name: ___________________________________________ Class: ___________
Real World Situation
Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?
Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
___________________________________ ____________________________________
Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y
Equation 1
x (x,y)
0
1
2
3
4
5
6
Equation 2
x (x,y)
0
1
2
3
4
5
6
Solution:- ( , )
Identify the solution and state what it means in context of the problem.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
________________________________________________________________________________
Use Substitution Method to solve the system of Equations. Show all work and state
the solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Substitution Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Elimination Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Elimination Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Graphing Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Graphing Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
Reflection:
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
For the right triangle shown, whih equation can be used to find the vaule of x
Answer:
The answer is b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?
Answer:
volume = 549.5 cm³
Step-by-step explanation:
base area m= πr² = (3.14)(5²) = 78.5 cm²
volume = base area x height = 78.5 x 7 = 549.5 cm³
Answer:
549.5 cm3
Step-by-step explanation:
Help
1: You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly?
2: In a class, 60% of the students are girls. There are 21 girls in the class.
A: How many Students are in the class?
B: How many boys are in the class?
Answer:
1: 9 questions incorrect and 41 correct
2: There are a total of 35 students. 21 girls and 14 boys.
The volume of a child's model plane
is 1200cm cube.
The volume of the full size plane is 4050 m cube.
Find the scale of the model in the fom 1:n.
Answer:
Is 10B and you get like 1000
Answer:
you get like 1000
What is the largest perfect square factor of 84
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
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What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%
Answer:
Step-by-step explanation:
It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.
f(x) = 2x2 + 12x + 1
Determine the vertex
Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°
Answer:
C) 60 degrees
Step-by-step explanation:
An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.
Need to keep cell bill under 60.,monthly charge is 30. And texts are 0.05 each. Write an inequality to represent the # of texts she can have
Answer:
[tex]30 + 0.05x < 60[/tex]
The number of texts she can have is less than 600.
Step-by-step explanation:
Total monthly charge
30 + 0.05 for each text.
So, for x tests, the charge is:
[tex]C(x) = 30 + 0.05x[/tex]
Write an inequality to represent the # of texts she can have?
It has to be under 60, so:
[tex]C(x) < 60[/tex]
[tex]30 + 0.05x < 60[/tex]
The solution is:
[tex]0.05x < 30[/tex]
[tex]x < \frac{30}{0.05}[/tex]
[tex]x < 600[/tex]
The number of texts she can have is less than 600.
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18
Answer:
x = 10
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
The sum of the exterior angles of a decagon = 360°
Decagon = 10 sides
Each angle in a decagon = 360/10
= 36°
We are told that:
Each exterior angle of a regular decagon has a measure of (3x + 6)°.
Hence,
(3x + 6)° = 36°
Collect like terms
3x = 36 - 6
3x = 30
x = 30/3
x = 10
Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021
Step-by-step explanation:
esme takes the bus to university 40 times during a term to relative frequency of the bus being late is 0.3
how many times is the bus late ?
Answer:
I Don't know....
Step-by-step explanation:
sry.....
Answer: 12
Step-by-step explanation:
So.
40 multiplied by 0.3 is 12
Name two triangles that are congruent by AAS.
ACF and ROB? you didnt show the rest of the answer options
Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?
Answer:
$8000
Step-by-step explanation:
Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.
Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.
To find: Gale's net worth
Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.
Firstly, calculate the total amount of assets by adding them together;
Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =
$9,500 + $7,400 + $6,000 + $3200 =$26,100
Secondly, calculate the Liabilties by adding them together;
Car loan + Student loan =
$7,400 + $6,000 = $13,400
Then, calculate the Intangible Assets by adding them together;
Savings account + The balance on her credit card =
$1500 + $3200 = $4700
Finally substact the total amounts;
$26,100 - $13,400 - $4700 = $8000
(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)
A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation
Answer:
no correlation
Step-by-step explanation:
because the teeth brushing had nothing to do with their grade, it would be no correlation.
Somebody help me out real fast
PLZZZ HELP ITS DUE AT 1:45
Answer:
a= 10 b= -13 c= -3
Step-by-step explanation:
First, you multiply 5x+1 and 2x-3
You then end up with 10x^2-13x-3 which is in ax^2+bx+c form
So, a would be 10, b would be -13, and c would be -3.
Math Math help help help ASAP please help me
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Can Someone Help Me With This I Beg You.
May someone pls help with this?
Answer:
p = 308
Step-by-step explanation:
Find x
Please help !
Will give BRAINLIEST
No links !
How do you write the mixed number shown as a fraction greater than one. I'm so confused. The number shown is 3 2/4
Answer:
14/2
Step-by-step explanation:
Can someone please help i spendt 30 mins on this one question ?
Answer:
A
Step-by-step explanation:
To keep things short, use the distance formula to find the distance from each point from (0,0)
What is the best approximation of the length of the radius in a circle with an area of 167 m2?
a. 4.6 meters
b.4.0 meters
c. 2.3 meters
d.5.1 meters
Answer:
r = 7.3 m
Step-by-step explanation:
A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:
167 m^2
r^2 = -------------- = 53.158 m^2
3.14
Taking the square root of both sides, we get
r = 7.3 m
This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2