The given statement is false because a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
A quadratic equation is a type of polynomial equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and x is a variable.
If a quadratic equation cannot be factored, it does not mean that it does not have any solutions.
A quadratic equation may have no solutions if the discriminant, which is the quantity b² - 4ac, is less than zero.
In this case, the quadratic equation has no real solutions, as the solutions would be complex numbers.
However, if the discriminant is equal to zero, the quadratic equation has one solution, which is the value of x that makes the equation equal to zero. If the discriminant is greater than zero, the quadratic equation has two solutions, which are the values of x that make the equation equal to zero.
In summary, a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
Thus, the given statement is false.
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A 3-meter roll of red ribbon costs $1.89. What is the unit price?
Answer:
The price of ribbon is $0.63 per meter.
Step-by-step explanation:
It is given that:
Cost of 3 meter ribbon = $1.89
Unit price per meter = [tex]\frac{1.89}{3}[/tex]
Unit price per meter = $0.63 per meter
Therefore,
The price of ribbon is $0.63 per meter.
A rectangular poster is 2/3 meter long and 1/2 meter wide. What is the area of the poster in sqaure meters?
Answer:
1/3 square meters
Step-by-step explanation:
Area = length x width
2/3 x 1/2 = 2/6 = 1/3
(2x + 4- 6x=24,5)
Find x
Answer:
x= −241 /4
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals 15.
-3x - y = -51
Answer:
The solution of the equation y = 36
Step-by-step explanation:
Explanation:-
Given equation -3x-y =-51
Given that x =15 in equation -3x-y=-51
⇒ - 3(15) - y = -51
⇒ - 15 - y =-51
⇒ -15+ 51 = y
⇒ y = 36
2(3y + 6) - 30 -4 - у)
you have to distribute if I'm not wrong 2(3y+6)-30 (-4-y)
2x3y= 6y 2×6=12 -30×-4=120 -30×-y=30y
6y+12+120+30y
help meeeeeeeeeeee
pls
Answer:
with what lol?
Step-by-step explanation:
Answer:
with what
Step-by-step explanation: ican help
PLS HELP I WILL GIVE YOU BRAINLY IF YOUR THE FIRST WHO ANSWERS!!!
Answer:
i think an right angle
Step-by-step explanation:
3.
Which equation, together with y =-1.5x +3, makes a system with one solution?
A.
y =-1.5x + 6
B.
y=-1.5x
C.
2y =-3x + 6
D.
2y + 3x = 6
E.
y=-2x + 3
Answer:
Its would be E
Step-by-step explanation:
1.5x + 3 = -2x + 3 -1.5x = -2x 0.5x = 0 x = 0
Which is 0,3 and it’s only one solution.
The equation that gives the solution together with y = -1.5x + 3 is
y = -2x + 3
Option E is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
y = -1.5x + 3 ____(1)
y = -2x + 3 ____(2)
From (1 ) and (2) we get,
-2x + 3 = -1.5x + 3
-2x + 1.5x = 3 - 3
-0.5x = 0
x = 0
Now,
y = -2x + 3
y = 0 + 3
y = 3
Thus,
The solution is (0, 3).
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Madison saves 40% of all that she earns for washing cars. So far she has saved $72 . How much has she earned in all?
Answer:
40% = 72
divide both sides by 40 to find 1%
1% = 1.8
now multiply by 100 to find total amount earned
100% = 180
total earned $180
if you have 5 true or false questions with 4 answers each how many test are possible
Answer:
20 answers possible.
Step-by-step explanation:
5(4) is 20, since there are 5 true or false questions, and 4 answers per question, there will be a total of 20 questions.
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs do not have spots on their back? Explain.
Answer:
80 spotted frogs
Step-by-step explanation:
We can write a ratio
spotted frogs:frogs
12:180
x:1200
To solve we just multiply 12*6.66667 (because this is what we multiplied 180 to get to 1200)
the answer is 80
PLEASE ANSWER FAST!!!!!
Word problem ideas for 4x+10 2(x-6)
Step-by-step explanation:
Simplify 2(x-6)
2x+2•-6
2x-12
4x+10=2(×-6)=2x-12
PLEASE HELP
2/3x-1/5>1 x=?
Answer:
x>9/5
Step-by-step explanation:
2/3x-1/5(+1/5)>1(+1/5)
[add 1/5 on both sides]
2/3x (÷3/2)>6/5 (÷3/2)
[flip 2/3 to 3/2 so that they cancel out]
x>9/5
Solve the quadratic equation 3x^2-9x+1=0.
Please help.
Answer:
Exact Form-9+√69÷6
Decimal form-2.88443731
Step-by-step explanation:
Which transformation(s) can be used to map one triangle onto the other? Select two options.
Answer:
Reflection only and rotation then translation I believe
please help me solve this problem thankyou
Simplify 2/6+1/4
Answer:
same denominator as 12
2 x 2/ 6 x 2 + 1 x 3/ 4 x 3
4 +3/ 12
= 7/12
Answer:
The answer is 7/12I HOPE IT HELPS ❤️❤️Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65, 87.
What is the mean height of Bella's corn stalks?
A. 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm
1.V Diferența a două numere este 38, iar descăzutul este 76. Scăzătorul este:
a. 38;
b. 29;
d. 83.
-
C. 114;
Răspuns:
38
Explicație pas cu pas:
Dat fiind :
Diferența dintre numere = 38
Subtractorul = x
Scădere = 76
Diferența dintre numere;
Scădere - scădere = diferență
76 - scădere = 38
76 - 38 = subtractor
Subtractor = 38
Please help I with give Brainiest if correct
Answer:
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = 0 x² + 6 x + 20
Step-by-step explanation:
Step(i):-
Given that the length of the rectangle = 2x +3
Given that the width of the rectangle = x +7
Perimeter of the rectangle = 2(length + width)
Step(ii):-
Perimeter of the rectangle = 2(length + width)
= 2(2 x +3 + x+7)
= 4x +6+2x+14
= 6 x +20
Final answer:-
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = o x² + 6 x + 20
Colin buys a car for £16300. It depreciates at a rate of 3% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate. £
Answer:
The car will be worth £14,430.27 in 4 years.
Step-by-step explanation:
Average annual value lost: £1,186.37
First year depreciation: £489.00
Total depreciation: £1,869.73
Total depreciation percentage: 11.47%
Value of vehicle at end of ownership period: £14,430.27
HOPE THIS HELPS!!!
BRAINLIEST PLEASE
List three integers and their opposites?
Step-by-step explanation:
-3,-4 and -6.
Their opposites are:
3,4 and 6
X= helppp will put as brainliest
Answer:
the correct answer of x is 16
Need help w this due today
Answer:
Step-by-step explanation:
you have a right triangle,
a^2+b^2=c^2
10^2=4^2+b^2
100=16+b^2
100-16=b^2
84=b^2
b=9.16
~ ! ANGLE MEASURE ! ~
~Someone please help me out-~
Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles?
A. ) ∠1 and ∠5
B. ) ∠1 and ∠6
C. ) ∠1 and ∠2
D. ) ∠1 and ∠7
Answer:
1 and5
Step-by-step explanation:
.......?...........
Answer:
Yes! A. 1 and 5, is 100% correct
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R is mph when T is seconds. Find the speed of a car that travels the given distance in seconds.
Answer:
4
Step-by-step explanation:hrllo sdkksfdjg jdskl fg
What is the area of the triangle?
7
4
8
units2
Answer:
14 units²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 4 , so
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 units²
At school 40% of the teachers teach English if 20 teachers teach English how many teachers work at school
Answer:
Step-by-step explanation:
Change the 40% to a decimal, which is 40/100 or also equivalent to 2/5
Then divide the number of teachers by the percentage/decimal of teachers
20/(2/5) = 100/2 = 50 total teachers
The total number of teachers in the school is 50 teachers
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of teachers in the school be = A
The percentage of teachers in the school who teach English = 40 %
The total number of English teachers = 20 teachers
So the percentage equation is ,
To calculate the total number of teachers
40 percentage of total teachers = 20 English teachers
So ,
( 40 / 100 ) x A = 20
Multiply by 100 on both sides , we get
40A = 2000
Divide by 40 on both sides , we get
A = 50
Therefore , the value of A is 50
Hence , the total number of teachers in the school is 50 teachers
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y=x+4
2x+3y=17
SOLVE USING SUBSITUTION
Show work
Answer:
( 1, 5 )
x = 1
y = 1
Step-by-step explanation:
y = x + 4
2x + 3y = 17
Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.
2x + 3y = 17
2x + 3 ( x + 4 ) = 17
Distributive Property
2x + 3 * x + 3 * 4 = 17
2x + 3x + 12 = 17
Combine Like Terms ( 2x and 3x)
5x + 12 = 17
Subtract 12 on both sides of the equation
5x + 12 - 12 = 17 - 12
5x = 5
Divide by 5 on both sides to isolate the variable
5x/5 = 5/5
x = 1
Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"
y = x + 4
y = 1 + 4
y = 5
x = 1
y = 5
( x, y )
( 1, 5 )
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The graph of g(x) is the result of translating the graph of f(x) = [1/2]× three units to the left. What is the equation of g(x)?
A. g(x)=[1/2]×-3
B. g(x)=[1/2]×+3
C. g(x)=[1/2]×-3
D. g(x)=[1/2]× +3
To shift a graph to the left you add to the x value
The answer would be B. g(x)=[1/2]×+3
The equation of g(x) = [1/2]x + 3 which is correct option (B)
What is translation of graph?A translation of a graph is a shifting of the graph either horizontally or vertically parallel to the axis.
If g(x) was translated three units to the left to create f(x)= [1/2]x, then
g(x) - 3 = f(x)
g(x) = f(x) + 3 = [1/2]x + 3
So g(x) = [1/2]x + 3
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What is y? Helppp thank you !
Answer:
y = 42
Step-by-step explanation:
Since QT is a midsegment then it is half of RS , that is
QT = [tex]\frac{1}{2}[/tex] RS, substitute values
y = [tex]\frac{1}{2}[/tex] (y + 42) ← multiply both sides by 2 to clear the fraction
2y = y + 42 ( subtract y from both sides )
y = 42